TSTP Solution File: SWW196+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW196+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:40:00 EDT 2024
% Result : Theorem 12.23s 12.39s
% Output : Proof 12.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW196+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 01:58:03 EDT 2024
% 0.12/0.34 % CPUTime :
% 12.23/12.39 % SZS status Theorem for theBenchmark
% 12.23/12.39 % SZS output start Proof for theBenchmark
% 12.23/12.39
% 12.23/12.39 % Formula: fact__096EX_Am_O_An_A_061_A2_A_K_Am_096 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact__096EX_Am_O_An_A_061_A2_A_K_Am_096-1, axiom, ( ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem1)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_n ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_n-1, axiom, ( ( v_na____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_e ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_e-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, v_na____) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_assms_I2_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_assms_I2_J-1, axiom, ( ( v_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u1) | ( c_Groups_Otimes__class_Otimes(_u1, _u2, c_Int_Onumber__class_Onumber__of(_u1, c_Int_OBit1(c_Int_OPls))) = _u2) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u3) | ( c_Groups_Otimes__class_Otimes(_u3, c_Int_Onumber__class_Onumber__of(_u3, c_Int_OBit1(c_Int_OPls)), _u4) = _u4) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u6)) | ( c_Int_OPls = _u6) )).
% 12.23/12.39 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u7) | ( c_Int_OPls = c_Int_OBit0(_u7)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u9) != c_Int_OPls) | ( _u9 = c_Int_OPls) )).
% 12.23/12.39 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u10 != c_Int_OPls) | ( c_Int_OBit0(_u10) = c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u11) != c_Int_OBit1(_u12)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u13) != c_Int_OBit0(_u14)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u15)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u16) != c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u17) | ( c_Int_Onumber__class_Onumber__of(_u17, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u18, _u19)) = c_Groups_Otimes__class_Otimes(_u17, c_Int_Onumber__class_Onumber__of(_u17, _u18), c_Int_Onumber__class_Onumber__of(_u17, _u19))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u20) | ( c_Groups_Otimes__class_Otimes(_u20, c_Int_Onumber__class_Onumber__of(_u20, _u21), c_Int_Onumber__class_Onumber__of(_u20, _u22)) = c_Int_Onumber__class_Onumber__of(_u20, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u21, _u22))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zmult__commute-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u23, _u24) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u24, _u23)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_times__numeral__code_I5_J-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u25), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u26)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u25, _u26))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zmult__assoc-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u27, _u28), _u29) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u27, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u28, _u29))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__Pls-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OPls, _u30) = c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__Bit0-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit0(_u31), _u32) = c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u31, _u32))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u33) | ( c_Int_Onumber__class_Onumber__of(_u33, c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u33)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u34) | ~class_Int_Oring__char__0(_u34) | ( c_Int_Onumber__class_Onumber__of(_u34, _u35) != c_Int_Onumber__class_Onumber__of(_u34, _u36)) | ( _u35 = _u36) )).
% 12.23/12.39 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u34) | ~class_Int_Oring__char__0(_u34) | ( _u35 != _u36) | ( c_Int_Onumber__class_Onumber__of(_u34, _u35) = c_Int_Onumber__class_Onumber__of(_u34, _u36)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u37) | ( c_Int_Onumber__class_Onumber__of(_u37, _u38) != _u39) | ( _u39 = c_Int_Onumber__class_Onumber__of(_u37, _u38)) )).
% 12.23/12.39 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u37) | ( _u39 != c_Int_Onumber__class_Onumber__of(_u37, _u38)) | ( c_Int_Onumber__class_Onumber__of(_u37, _u38) = _u39) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u42) != c_Int_OBit1(_u44)) | ( _u42 = _u44) )).
% 12.23/12.39 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u43 != _u45) | ( c_Int_OBit1(_u43) = c_Int_OBit1(_u45)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u48) != c_Int_OBit0(_u50)) | ( _u48 = _u50) )).
% 12.23/12.39 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u49 != _u51) | ( c_Int_OBit0(_u49) = c_Int_OBit0(_u51)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u52) | ( c_Groups_Otimes__class_Otimes(_u52, c_Int_Onumber__class_Onumber__of(_u52, _u53), c_Groups_Otimes__class_Otimes(_u52, c_Int_Onumber__class_Onumber__of(_u52, _u54), _u55)) = c_Groups_Otimes__class_Otimes(_u52, c_Int_Onumber__class_Onumber__of(_u52, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u53, _u54)), _u55)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__mult__two__ex ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__mult__two__ex-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u59) | ( _u59 = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem2(_u59))) )).
% 12.23/12.39 cnf(fact_even__mult__two__ex-2, axiom, ( ( _u60 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u57)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u60) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__number__of__Pls-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u61) | ( c_Groups_Ozero__class_Ozero(_u61) = c_Int_Onumber__class_Onumber__of(_u61, c_Int_OPls)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__product__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__product__nat-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u64, _u66)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u64) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u66) )).
% 12.23/12.39 cnf(fact_even__product__nat-2, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u65, _u67)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u65) )).
% 12.23/12.39 cnf(fact_even__product__nat-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u65, _u67)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u67) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__zero__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__zero__nat-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__cancel2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u71, _u73) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u75, _u73)) | ( _u71 = _u75) | ( _u73 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_mult__cancel2-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u72, _u74) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u76, _u74)) | ( _u72 != _u76) )).
% 12.23/12.39 cnf(fact_mult__cancel2-3, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u72, _u74) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u76, _u74)) | ( _u74 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__cancel1-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u80, _u82) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u80, _u84)) | ( _u82 = _u84) | ( _u80 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_mult__cancel1-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u83) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u85)) | ( _u83 != _u85) )).
% 12.23/12.39 cnf(fact_mult__cancel1-3, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u83) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u85)) | ( _u81 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u89, _u91) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u89, _u93)) | ( _u89 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u91 = _u93) )).
% 12.23/12.39 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u92) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u94)) | ( _u90 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u92) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u94)) | ( _u92 != _u94) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__is__0-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u97, _u99) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u97 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u99 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_mult__is__0-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u98, _u100) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u98 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_mult__is__0-3, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u98, _u100) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u100 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__0__right-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u101, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__0-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u102) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__is__id-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u103) = _u103) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__commute-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u104, _u105) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u105, _u104)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__assoc-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u106, _u107), _u108) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u106, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u107, _u108))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u109) | ( c_Groups_Otimes__class_Otimes(_u109, c_Groups_Ozero__class_Ozero(_u109), _u110) = c_Groups_Ozero__class_Ozero(_u109)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u111) | ( c_Groups_Otimes__class_Otimes(_u111, c_Groups_Ozero__class_Ozero(_u111), _u112) = c_Groups_Ozero__class_Ozero(_u111)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult_Ozero__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult_Ozero__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u113) | ( c_Groups_Otimes__class_Otimes(_u113, c_Groups_Ozero__class_Ozero(_u113), _u114) = c_Groups_Ozero__class_Ozero(_u113)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__left_Ozero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__left_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u115) | ( c_Groups_Otimes__class_Otimes(_u115, c_Groups_Ozero__class_Ozero(_u115), _u116) = c_Groups_Ozero__class_Ozero(_u115)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u117) | ( c_Groups_Otimes__class_Otimes(_u117, _u118, c_Groups_Ozero__class_Ozero(_u117)) = c_Groups_Ozero__class_Ozero(_u117)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u119) | ( c_Groups_Otimes__class_Otimes(_u119, _u120, c_Groups_Ozero__class_Ozero(_u119)) = c_Groups_Ozero__class_Ozero(_u119)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult_Ozero__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult_Ozero__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u121) | ( c_Groups_Otimes__class_Otimes(_u121, _u122, c_Groups_Ozero__class_Ozero(_u121)) = c_Groups_Ozero__class_Ozero(_u121)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__right_Ozero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__right_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u123) | ( c_Groups_Otimes__class_Otimes(_u123, _u124, c_Groups_Ozero__class_Ozero(_u123)) = c_Groups_Ozero__class_Ozero(_u123)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u125) | ( c_Groups_Otimes__class_Otimes(_u125, _u126, _u127) != c_Groups_Ozero__class_Ozero(_u125)) | ( _u126 = c_Groups_Ozero__class_Ozero(_u125)) | ( _u127 = c_Groups_Ozero__class_Ozero(_u125)) )).
% 12.23/12.39 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u125) | ( c_Groups_Otimes__class_Otimes(_u125, _u126, _u127) = c_Groups_Ozero__class_Ozero(_u125)) | ( _u126 != c_Groups_Ozero__class_Ozero(_u125)) )).
% 12.23/12.39 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u125) | ( c_Groups_Otimes__class_Otimes(_u125, _u126, _u127) = c_Groups_Ozero__class_Ozero(_u125)) | ( _u127 != c_Groups_Ozero__class_Ozero(_u125)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u128) | ( _u129 = c_Groups_Ozero__class_Ozero(_u128)) | ( _u130 = c_Groups_Ozero__class_Ozero(_u128)) | ( c_Groups_Otimes__class_Otimes(_u128, _u129, _u130) != c_Groups_Ozero__class_Ozero(_u128)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u131) | ( c_Groups_Otimes__class_Otimes(_u131, _u132, _u133) != c_Groups_Ozero__class_Ozero(_u131)) | ( _u132 = c_Groups_Ozero__class_Ozero(_u131)) | ( _u133 = c_Groups_Ozero__class_Ozero(_u131)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u134) | ( c_Groups_Otimes__class_Otimes(_u134, c_Groups_Otimes__class_Otimes(_u134, _u135, _u136), c_Groups_Otimes__class_Otimes(_u134, _u137, _u138)) = c_Groups_Otimes__class_Otimes(_u134, c_Groups_Otimes__class_Otimes(_u134, _u135, _u137), c_Groups_Otimes__class_Otimes(_u134, _u136, _u138))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u139) | ( c_Groups_Otimes__class_Otimes(_u139, c_Groups_Otimes__class_Otimes(_u139, _u140, _u141), c_Groups_Otimes__class_Otimes(_u139, _u142, _u143)) = c_Groups_Otimes__class_Otimes(_u139, _u142, c_Groups_Otimes__class_Otimes(_u139, c_Groups_Otimes__class_Otimes(_u139, _u140, _u141), _u143))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u144) | ( c_Groups_Otimes__class_Otimes(_u144, c_Groups_Otimes__class_Otimes(_u144, _u145, _u146), c_Groups_Otimes__class_Otimes(_u144, _u147, _u148)) = c_Groups_Otimes__class_Otimes(_u144, _u145, c_Groups_Otimes__class_Otimes(_u144, _u146, c_Groups_Otimes__class_Otimes(_u144, _u147, _u148)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u149) | ( c_Groups_Otimes__class_Otimes(_u149, c_Groups_Otimes__class_Otimes(_u149, _u150, _u151), _u152) = c_Groups_Otimes__class_Otimes(_u149, c_Groups_Otimes__class_Otimes(_u149, _u150, _u152), _u151)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u153) | ( c_Groups_Otimes__class_Otimes(_u153, c_Groups_Otimes__class_Otimes(_u153, _u154, _u155), _u156) = c_Groups_Otimes__class_Otimes(_u153, _u154, c_Groups_Otimes__class_Otimes(_u153, _u155, _u156))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u157) | ( c_Groups_Otimes__class_Otimes(_u157, _u158, c_Groups_Otimes__class_Otimes(_u157, _u159, _u160)) = c_Groups_Otimes__class_Otimes(_u157, c_Groups_Otimes__class_Otimes(_u157, _u158, _u159), _u160)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u161) | ( c_Groups_Otimes__class_Otimes(_u161, _u162, c_Groups_Otimes__class_Otimes(_u161, _u163, _u164)) = c_Groups_Otimes__class_Otimes(_u161, _u163, c_Groups_Otimes__class_Otimes(_u161, _u162, _u164))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u165) | ( c_Groups_Otimes__class_Otimes(_u165, _u166, _u167) = c_Groups_Otimes__class_Otimes(_u165, _u167, _u166)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__Suc__mult__two__ex ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__Suc__mult__two__ex-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u171) | ( _u171 = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem3(_u171)))) )).
% 12.23/12.39 cnf(fact_odd__Suc__mult__two__ex-2, axiom, ( ( _u172 != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u169))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u172) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u173) | ( c_Power_Opower__class_Opower(_u173, _u174, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u175)) = c_Groups_Otimes__class_Otimes(_u173, c_Power_Opower__class_Opower(_u173, _u174, _u175), c_Power_Opower__class_Opower(_u173, _u174, _u175))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u176) | ~class_Int_Onumber(_u176) | ( c_Power_Opower__class_Opower(_u176, c_Int_Onumber__class_Onumber__of(_u176, _u177), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_u176, c_Int_Onumber__class_Onumber__of(_u176, _u177), c_Int_Onumber__class_Onumber__of(_u176, _u177))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__equiv__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__equiv__def-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u181) | ( _u181 = c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem4(_u181))) )).
% 12.23/12.39 cnf(fact_even__equiv__def-2, axiom, ( ( _u182 != c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u179)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u182) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u186, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u186), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u188), _u190)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_nat__number__of__mult__left-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u187, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u187), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u189), _u191)) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u187, _u189)), _u191)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u194, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u194), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u196)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_mult__nat__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u195, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u195), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u197)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u195, _u197))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u198) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u198, _u198)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__2__right-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u199, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u199, _u199)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u200) | ~c_Int_Oiszero(_u200, c_Int_Onumber__class_Onumber__of(_u200, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__even__iff__2__dvd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__even__iff__2__dvd-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u202) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u202) )).
% 12.23/12.39 cnf(fact_nat__even__iff__2__dvd-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u203) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u203) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_numeral__2__eq__2-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oorder__refl ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oorder__refl-1, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u204, _u204) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u205) | c_Rings_Odvd__class_Odvd(_u205, _u206, c_Groups_Ozero__class_Ozero(_u205)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__1__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__1__left-1, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u207) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u208) | ~c_Orderings_Oord__class_Oless(_u208, c_Groups_Ozero__class_Ozero(_u208), _u209) | ~c_Orderings_Oord__class_Oless(_u208, _u210, _u211) | c_Orderings_Oord__class_Oless(_u208, _u210, c_Groups_Oplus__class_Oplus(_u208, _u209, _u211)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u212) | c_Rings_Odvd__class_Odvd(_u212, _u213, _u213) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u214) | ( c_Groups_Oplus__class_Oplus(_u214, _u215, _u216) = c_Groups_Oplus__class_Oplus(_u214, _u216, _u215)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u217) | ( c_Groups_Oplus__class_Oplus(_u217, _u218, c_Groups_Oplus__class_Oplus(_u217, _u219, _u220)) = c_Groups_Oplus__class_Oplus(_u217, _u219, c_Groups_Oplus__class_Oplus(_u217, _u218, _u220))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u221) | ( c_Groups_Oplus__class_Oplus(_u221, _u222, c_Groups_Oplus__class_Oplus(_u221, _u223, _u224)) = c_Groups_Oplus__class_Oplus(_u221, c_Groups_Oplus__class_Oplus(_u221, _u222, _u223), _u224)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u225) | ( c_Groups_Oplus__class_Oplus(_u225, c_Groups_Oplus__class_Oplus(_u225, _u226, _u227), _u228) = c_Groups_Oplus__class_Oplus(_u225, _u226, c_Groups_Oplus__class_Oplus(_u225, _u227, _u228))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u229) | ( c_Groups_Oplus__class_Oplus(_u229, c_Groups_Oplus__class_Oplus(_u229, _u230, _u231), _u232) = c_Groups_Oplus__class_Oplus(_u229, c_Groups_Oplus__class_Oplus(_u229, _u230, _u232), _u231)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u233) | ( c_Groups_Oplus__class_Oplus(_u233, c_Groups_Oplus__class_Oplus(_u233, _u234, _u235), c_Groups_Oplus__class_Oplus(_u233, _u236, _u237)) = c_Groups_Oplus__class_Oplus(_u233, c_Groups_Oplus__class_Oplus(_u233, _u234, _u236), c_Groups_Oplus__class_Oplus(_u233, _u235, _u237))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u238) | ( _u239 = _u240) | c_Orderings_Oord__class_Oless(_u238, _u239, _u240) | c_Orderings_Oord__class_Oless(_u238, _u240, _u239) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u241) | ~c_Rings_Odvd__class_Odvd(_u241, _u242, _u243) | ~c_Rings_Odvd__class_Odvd(_u241, _u243, _u244) | c_Rings_Odvd__class_Odvd(_u241, _u242, _u244) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__add-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u245) | ~c_Rings_Odvd__class_Odvd(_u245, _u246, _u247) | ~c_Rings_Odvd__class_Odvd(_u245, _u246, _u248) | c_Rings_Odvd__class_Odvd(_u245, _u246, c_Groups_Oplus__class_Oplus(_u245, _u247, _u248)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u249) | ( c_Groups_Otimes__class_Otimes(_u249, c_Power_Opower__class_Opower(_u249, _u250, _u251), _u250) = c_Power_Opower__class_Opower(_u249, _u250, c_Nat_OSuc(_u251))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u252) | ( c_Groups_Otimes__class_Otimes(_u252, _u253, c_Power_Opower__class_Opower(_u252, _u253, _u254)) = c_Power_Opower__class_Opower(_u252, _u253, c_Nat_OSuc(_u254))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u255) | ( c_Power_Opower__class_Opower(_u255, _u256, c_Nat_OSuc(_u257)) = c_Groups_Otimes__class_Otimes(_u255, _u256, c_Power_Opower__class_Opower(_u255, _u256, _u257))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u258) | ~c_Orderings_Oord__class_Oless(_u258, c_Groups_Oplus__class_Oplus(_u258, _u259, _u259), c_Groups_Ozero__class_Ozero(_u258)) | c_Orderings_Oord__class_Oless(_u258, _u259, c_Groups_Ozero__class_Ozero(_u258)) )).
% 12.23/12.39 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u258) | ~c_Orderings_Oord__class_Oless(_u258, _u259, c_Groups_Ozero__class_Ozero(_u258)) | c_Orderings_Oord__class_Oless(_u258, c_Groups_Oplus__class_Oplus(_u258, _u259, _u259), c_Groups_Ozero__class_Ozero(_u258)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zless__linear-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u260, _u261) | ( _u260 = _u261) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u261, _u260) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u262 != c_Nat_OSuc(_u262)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__n__not__n-1, axiom, ( ( c_Nat_OSuc(_u263) != _u263) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__add__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u264, _u265) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u265, _u264)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oeq__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oeq__iff-1, axiom, ( ( _u268 != _u270) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u268, _u270) )).
% 12.23/12.39 cnf(fact_dvd_Oeq__iff-2, axiom, ( ( _u268 != _u270) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u270, _u268) )).
% 12.23/12.39 cnf(fact_dvd_Oeq__iff-3, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u269, _u271) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u271, _u269) | ( _u269 = _u271) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Ole__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Ole__less-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u274, _u276) | ( _u274 = _u276) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u276, _u274) )).
% 12.23/12.39 cnf(fact_dvd_Ole__less-2, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u275, _u277) | ( _u275 != _u277) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Suc__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u278, c_Nat_OSuc(_u279)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u278, _u279))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__reduce ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__reduce-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u282, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u284, _u282)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u282, _u284) )).
% 12.23/12.39 cnf(fact_dvd__reduce-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u283, _u285) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u283, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u285, _u283)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__add__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u286, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u287, _u288)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u287, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u286, _u288))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Suc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u289), _u290) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u289, _u290))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Suc__shift-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u291), _u292) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u291, c_Nat_OSuc(_u292))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat_Oinject-1, axiom, ( ( c_Nat_OSuc(_u295) != c_Nat_OSuc(_u297)) | ( _u295 = _u297) )).
% 12.23/12.39 cnf(fact_nat_Oinject-2, axiom, ( ( _u296 != _u298) | ( c_Nat_OSuc(_u296) = c_Nat_OSuc(_u298)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__add__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u299, _u300), _u301) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u299, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u300, _u301))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__le-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u304, _u306) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u306, _u304) | ( _u304 != _u306) )).
% 12.23/12.39 cnf(fact_dvd_Oless__le-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u305, _u307) | ( _u305 = _u307) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u307, _u305) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u313 = _u315) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u311, _u313) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u311, _u315)) )).
% 12.23/12.39 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u314 != _u316) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u312, _u314) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u312, _u316)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__add__right__cancel-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u320, _u322) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u324, _u322)) | ( _u320 = _u324) )).
% 12.23/12.39 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u321 != _u325) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u321, _u323) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u325, _u323)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oneq__le__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oneq__le__trans-1, axiom, ( ( _u326 = _u327) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u326, _u327) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u327, _u326) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oeq__refl ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oeq__refl-1, axiom, ( ( _u328 != _u329) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u328, _u329) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oantisym__conv ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oantisym__conv-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u330, _u331) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u331, _u330) | ( _u331 = _u330) )).
% 12.23/12.39 cnf(fact_dvd_Oantisym__conv-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u330, _u331) | ( _u331 != _u330) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u331, _u330) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Ole__imp__less__or__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Ole__imp__less__or__eq-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u332, _u333) | ( _u332 = _u333) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u333, _u332) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Ole__neq__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Ole__neq__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u334, _u335) | ( _u334 = _u335) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u335, _u334) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oord__eq__le__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oord__eq__le__trans-1, axiom, ( ( _u336 != _u337) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u337, _u338) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u336, _u338) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oord__le__eq__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oord__le__eq__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u339, _u340) | ( _u340 != _u341) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u339, _u341) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__antisym ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__antisym-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u342, _u343) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u343, _u342) | ( _u342 = _u343) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oantisym ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oantisym-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u344, _u345) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u345, _u344) | ( _u344 = _u345) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oorder__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oorder__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u346, _u347) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u347, _u348) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u346, _u348) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oord__eq__less__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oord__eq__less__trans-1, axiom, ( ( _u349 != _u350) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u350, _u351) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u351, _u350) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u349, _u351) )).
% 12.23/12.39 cnf(fact_dvd_Oord__eq__less__trans-2, axiom, ( ( _u349 != _u350) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u350, _u351) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u351, _u350) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u351, _u349) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Ole__less__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Ole__less__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u352, _u353) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u353, _u354) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u354, _u353) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u352, _u354) )).
% 12.23/12.39 cnf(fact_dvd_Ole__less__trans-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u352, _u353) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u353, _u354) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u354, _u353) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u354, _u352) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__inject-1, axiom, ( ( c_Nat_OSuc(_u355) != c_Nat_OSuc(_u356)) | ( _u355 = _u356) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__imp__neq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__imp__neq-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u357, _u358) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u358, _u357) | ( _u357 != _u358) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__not__sym ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__not__sym, axiom, $true).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__imp__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__imp__le, axiom, $true).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__imp__not__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__imp__not__less, axiom, $true).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__imp__not__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__imp__not__eq-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u365, _u366) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u366, _u365) | ( _u365 != _u366) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__imp__not__eq2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__imp__not__eq2-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u367, _u368) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u368, _u367) | ( _u368 != _u367) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oord__less__eq__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oord__less__eq__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u369, _u370) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u370, _u369) | ( _u370 != _u371) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u369, _u371) )).
% 12.23/12.39 cnf(fact_dvd_Oord__less__eq__trans-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u369, _u370) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u370, _u369) | ( _u370 != _u371) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u371, _u369) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__le__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__le__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u372, _u373) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u372) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u374) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u372, _u374) )).
% 12.23/12.39 cnf(fact_dvd_Oless__le__trans-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u372, _u373) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u372) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u374) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u374, _u372) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__asym_H ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__asym_H, axiom, $true).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__trans ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__trans-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u377, _u378) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u377) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u379) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u379, _u378) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u377, _u379) )).
% 12.23/12.39 cnf(fact_dvd_Oless__trans-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u377, _u378) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u377) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u379) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u379, _u378) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u379, _u377) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd_Oless__asym ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd_Oless__asym, axiom, $true).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__pow ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__pow-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u382) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u382, _u383)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u384) | ( c_Groups_Otimes__class_Otimes(_u384, c_Power_Opower__class_Opower(_u384, _u385, _u386), c_Power_Opower__class_Opower(_u384, _u385, _u387)) = c_Power_Opower__class_Opower(_u384, _u385, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u386, _u387))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u388) | ( c_Groups_Oplus__class_Oplus(_u388, c_Int_Onumber__class_Onumber__of(_u388, _u389), c_Groups_Oplus__class_Oplus(_u388, c_Int_Onumber__class_Onumber__of(_u388, _u390), _u391)) = c_Groups_Oplus__class_Oplus(_u388, c_Int_Onumber__class_Onumber__of(_u388, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u389, _u390)), _u391)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u392) | ( c_Groups_Oplus__class_Oplus(_u392, c_Int_Onumber__class_Onumber__of(_u392, _u393), c_Int_Onumber__class_Onumber__of(_u392, _u394)) = c_Int_Onumber__class_Onumber__of(_u392, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u393, _u394))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u395) | ( c_Int_Onumber__class_Onumber__of(_u395, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u396, _u397)) = c_Groups_Oplus__class_Oplus(_u395, c_Int_Onumber__class_Onumber__of(_u395, _u396), c_Int_Onumber__class_Onumber__of(_u395, _u397))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__1__iff__1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__1__iff__1-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u399, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u399 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_dvd__1__iff__1-2, axiom, ( ( _u400 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u400, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u401) | ~class_Rings_Olinordered__idom(_u401) | ~c_Orderings_Oord__class_Oless(_u401, c_Int_Onumber__class_Onumber__of(_u401, _u402), c_Int_Onumber__class_Onumber__of(_u401, _u403)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u402, _u403) )).
% 12.23/12.39 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u401) | ~class_Rings_Olinordered__idom(_u401) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u402, _u403) | c_Orderings_Oord__class_Oless(_u401, c_Int_Onumber__class_Onumber__of(_u401, _u402), c_Int_Onumber__class_Onumber__of(_u401, _u403)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_one__is__add-1, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u406 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_one__is__add-2, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u406 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u408 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_one__is__add-3, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_one__is__add-4, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u408 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_one__is__add-5, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u407, _u409)) | ( _u407 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u409 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_one__is__add-6, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u407, _u409)) | ( _u407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u409 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__is__1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u412 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u412 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_add__is__1-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u412 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u414 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_add__is__1-3, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u414 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u412 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_add__is__1-4, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u414 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u414 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_add__is__1-5, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u413, _u415) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u413 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u415 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_add__is__1-6, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u413, _u415) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u413 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u415 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, _u416, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u417, _u418)) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u416, _u417), c_Power_Opower__class_Opower(tc_Int_Oint, _u416, _u418))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__Suc__right-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u419, c_Nat_OSuc(_u420)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u419, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u419, _u420))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__Suc-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u421), _u422) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u422, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u421, _u422))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__power ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__power-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u425, _u427)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u425) )).
% 12.23/12.39 cnf(fact_even__power-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u425, _u427)) | ( _u427 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_even__power-3, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u426) | ( _u428 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u426, _u428)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u429) | ~c_Orderings_Oord__class_Oless(_u429, c_Groups_Ozero__class_Ozero(_u429), c_Groups_Oplus__class_Oplus(_u429, c_Groups_Otimes__class_Otimes(_u429, _u430, _u430), c_Groups_Otimes__class_Otimes(_u429, _u431, _u431))) | ( _u430 != c_Groups_Ozero__class_Ozero(_u429)) | ( _u431 != c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.23/12.39 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u429) | c_Orderings_Oord__class_Oless(_u429, c_Groups_Ozero__class_Ozero(_u429), c_Groups_Oplus__class_Oplus(_u429, c_Groups_Otimes__class_Otimes(_u429, _u430, _u430), c_Groups_Otimes__class_Otimes(_u429, _u431, _u431))) | ( _u430 = c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.23/12.39 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u429) | c_Orderings_Oord__class_Oless(_u429, c_Groups_Ozero__class_Ozero(_u429), c_Groups_Oplus__class_Oplus(_u429, c_Groups_Otimes__class_Otimes(_u429, _u430, _u430), c_Groups_Otimes__class_Otimes(_u429, _u431, _u431))) | ( _u431 = c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u432) | ~c_Orderings_Oord__class_Oless(_u432, c_Groups_Oplus__class_Oplus(_u432, c_Groups_Otimes__class_Otimes(_u432, _u433, _u433), c_Groups_Otimes__class_Otimes(_u432, _u434, _u434)), c_Groups_Ozero__class_Ozero(_u432)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__less__zero__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__less__zero__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u435) | ~c_Orderings_Oord__class_Oless(_u435, c_Power_Opower__class_Opower(_u435, _u436, _u437), c_Groups_Ozero__class_Ozero(_u435)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u437) )).
% 12.23/12.39 cnf(fact_power__less__zero__eq-2, axiom, ( ~class_Rings_Olinordered__idom(_u435) | ~c_Orderings_Oord__class_Oless(_u435, c_Power_Opower__class_Opower(_u435, _u436, _u437), c_Groups_Ozero__class_Ozero(_u435)) | c_Orderings_Oord__class_Oless(_u435, _u436, c_Groups_Ozero__class_Ozero(_u435)) )).
% 12.23/12.39 cnf(fact_power__less__zero__eq-3, axiom, ( ~class_Rings_Olinordered__idom(_u435) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u437) | ~c_Orderings_Oord__class_Oless(_u435, _u436, c_Groups_Ozero__class_Ozero(_u435)) | c_Orderings_Oord__class_Oless(_u435, c_Power_Opower__class_Opower(_u435, _u436, _u437), c_Groups_Ozero__class_Ozero(_u435)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u438) | ~c_Rings_Odvd__class_Odvd(_u438, c_Groups_Ozero__class_Ozero(_u438), _u439) | ( _u439 = c_Groups_Ozero__class_Ozero(_u438)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u440) | c_Rings_Odvd__class_Odvd(_u440, _u441, c_Groups_Otimes__class_Otimes(_u440, _u441, _u442)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u443) | c_Rings_Odvd__class_Odvd(_u443, _u444, c_Groups_Otimes__class_Otimes(_u443, _u445, _u444)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u446) | ~c_Rings_Odvd__class_Odvd(_u446, _u447, _u448) | c_Rings_Odvd__class_Odvd(_u446, _u447, c_Groups_Otimes__class_Otimes(_u446, _u448, _u449)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u450) | ~c_Rings_Odvd__class_Odvd(_u450, _u451, _u452) | c_Rings_Odvd__class_Odvd(_u450, _u451, c_Groups_Otimes__class_Otimes(_u450, _u453, _u452)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u454) | ~c_Rings_Odvd__class_Odvd(_u454, _u455, _u456) | ~c_Rings_Odvd__class_Odvd(_u454, _u457, _u458) | c_Rings_Odvd__class_Odvd(_u454, c_Groups_Otimes__class_Otimes(_u454, _u455, _u457), c_Groups_Otimes__class_Otimes(_u454, _u456, _u458)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u459) | ( _u460 != c_Groups_Otimes__class_Otimes(_u459, _u461, _u462)) | c_Rings_Odvd__class_Odvd(_u459, _u461, _u460) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u463) | ~c_Rings_Odvd__class_Odvd(_u463, c_Groups_Otimes__class_Otimes(_u463, _u464, _u465), _u466) | c_Rings_Odvd__class_Odvd(_u463, _u464, _u466) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u467) | ~c_Rings_Odvd__class_Odvd(_u467, c_Groups_Otimes__class_Otimes(_u467, _u468, _u469), _u470) | c_Rings_Odvd__class_Odvd(_u467, _u469, _u470) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u471) | ( c_Power_Opower__class_Opower(_u471, c_Groups_Otimes__class_Otimes(_u471, _u472, _u473), _u474) = c_Groups_Otimes__class_Otimes(_u471, c_Power_Opower__class_Opower(_u471, _u472, _u474), c_Power_Opower__class_Opower(_u471, _u473, _u474))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u475) | ( c_Groups_Oplus__class_Oplus(_u475, _u476, _u476) != c_Groups_Ozero__class_Ozero(_u475)) | ( _u476 = c_Groups_Ozero__class_Ozero(_u475)) )).
% 12.23/12.39 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u475) | ( _u476 != c_Groups_Ozero__class_Ozero(_u475)) | ( c_Groups_Oplus__class_Oplus(_u475, _u476, _u476) = c_Groups_Ozero__class_Ozero(_u475)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u477) | ( _u478 != c_Groups_Oplus__class_Oplus(_u477, _u478, _u479)) | ( _u479 = c_Groups_Ozero__class_Ozero(_u477)) )).
% 12.23/12.39 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u477) | ( _u479 != c_Groups_Ozero__class_Ozero(_u477)) | ( _u478 = c_Groups_Oplus__class_Oplus(_u477, _u478, _u479)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u480) | ( c_Groups_Oplus__class_Oplus(_u480, _u481, c_Groups_Ozero__class_Ozero(_u480)) = _u481) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u482) | ( c_Groups_Oplus__class_Oplus(_u482, c_Groups_Ozero__class_Ozero(_u482), _u483) = _u483) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult_Oadd__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult_Oadd__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u484) | ( c_Groups_Otimes__class_Otimes(_u484, _u485, c_Groups_Oplus__class_Oplus(_u484, _u486, _u487)) = c_Groups_Oplus__class_Oplus(_u484, c_Groups_Otimes__class_Otimes(_u484, _u485, _u486), c_Groups_Otimes__class_Otimes(_u484, _u485, _u487))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u488) | ( c_Groups_Otimes__class_Otimes(_u488, _u489, c_Groups_Oplus__class_Oplus(_u488, _u490, _u491)) = c_Groups_Oplus__class_Oplus(_u488, c_Groups_Otimes__class_Otimes(_u488, _u489, _u490), c_Groups_Otimes__class_Otimes(_u488, _u489, _u491))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__right_Oadd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__right_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u492) | ( c_Groups_Otimes__class_Otimes(_u492, _u493, c_Groups_Oplus__class_Oplus(_u492, _u494, _u495)) = c_Groups_Oplus__class_Oplus(_u492, c_Groups_Otimes__class_Otimes(_u492, _u493, _u494), c_Groups_Otimes__class_Otimes(_u492, _u493, _u495))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u496) | ( _u497 = _u498) | ( _u499 = _u500) | ( c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u499), c_Groups_Otimes__class_Otimes(_u496, _u498, _u500)) != c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u500), c_Groups_Otimes__class_Otimes(_u496, _u498, _u499))) )).
% 12.23/12.39 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u496) | ( c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u499), c_Groups_Otimes__class_Otimes(_u496, _u498, _u500)) = c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u500), c_Groups_Otimes__class_Otimes(_u496, _u498, _u499))) | ( _u497 != _u498) )).
% 12.23/12.39 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u496) | ( c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u499), c_Groups_Otimes__class_Otimes(_u496, _u498, _u500)) = c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u500), c_Groups_Otimes__class_Otimes(_u496, _u498, _u499))) | ( _u499 != _u500) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u501) | ( c_Groups_Otimes__class_Otimes(_u501, c_Groups_Oplus__class_Oplus(_u501, _u502, _u503), _u504) = c_Groups_Oplus__class_Oplus(_u501, c_Groups_Otimes__class_Otimes(_u501, _u502, _u504), c_Groups_Otimes__class_Otimes(_u501, _u503, _u504))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u505) | ( c_Groups_Otimes__class_Otimes(_u505, c_Groups_Oplus__class_Oplus(_u505, _u506, _u507), _u508) = c_Groups_Oplus__class_Oplus(_u505, c_Groups_Otimes__class_Otimes(_u505, _u506, _u508), c_Groups_Otimes__class_Otimes(_u505, _u507, _u508))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult_Oadd__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult_Oadd__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u509) | ( c_Groups_Otimes__class_Otimes(_u509, c_Groups_Oplus__class_Oplus(_u509, _u510, _u511), _u512) = c_Groups_Oplus__class_Oplus(_u509, c_Groups_Otimes__class_Otimes(_u509, _u510, _u512), c_Groups_Otimes__class_Otimes(_u509, _u511, _u512))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__left_Oadd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__left_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u513) | ( c_Groups_Otimes__class_Otimes(_u513, c_Groups_Oplus__class_Oplus(_u513, _u514, _u515), _u516) = c_Groups_Oplus__class_Oplus(_u513, c_Groups_Otimes__class_Otimes(_u513, _u514, _u516), c_Groups_Otimes__class_Otimes(_u513, _u515, _u516))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u517) | ( c_Groups_Oplus__class_Oplus(_u517, c_Groups_Otimes__class_Otimes(_u517, _u518, _u519), c_Groups_Otimes__class_Otimes(_u517, _u520, _u519)) = c_Groups_Otimes__class_Otimes(_u517, c_Groups_Oplus__class_Oplus(_u517, _u518, _u520), _u519)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u521) | ( c_Groups_Oplus__class_Oplus(_u521, c_Groups_Otimes__class_Otimes(_u521, _u522, _u523), c_Groups_Oplus__class_Oplus(_u521, c_Groups_Otimes__class_Otimes(_u521, _u524, _u523), _u525)) = c_Groups_Oplus__class_Oplus(_u521, c_Groups_Otimes__class_Otimes(_u521, c_Groups_Oplus__class_Oplus(_u521, _u522, _u524), _u523), _u525)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u526) | ( c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u528), c_Groups_Otimes__class_Otimes(_u526, _u529, _u530)) != c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u530), c_Groups_Otimes__class_Otimes(_u526, _u529, _u528))) | ( _u527 = _u529) | ( _u528 = _u530) )).
% 12.23/12.39 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u526) | ( c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u528), c_Groups_Otimes__class_Otimes(_u526, _u529, _u530)) = c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u530), c_Groups_Otimes__class_Otimes(_u526, _u529, _u528))) | ( _u527 != _u529) )).
% 12.23/12.39 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u526) | ( c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u528), c_Groups_Otimes__class_Otimes(_u526, _u529, _u530)) = c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u530), c_Groups_Otimes__class_Otimes(_u526, _u529, _u528))) | ( _u528 != _u530) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__neq__Zero-1, axiom, ( ( c_Nat_OSuc(_u531) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u532)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( c_Nat_OSuc(_u533) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__not__Zero-1, axiom, ( ( c_Nat_OSuc(_u534) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u535)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u536)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u537) | ( c_Power_Opower__class_Opower(_u537, c_Power_Opower__class_Opower(_u537, _u538, _u539), _u540) = c_Power_Opower__class_Opower(_u537, _u538, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u539, _u540))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zpower__zpower-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u541, _u542), _u543) = c_Power_Opower__class_Opower(tc_Int_Oint, _u541, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u542, _u543))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u545 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u544, _u545) != _u544) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__is__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u548, _u550) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u548 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_add__is__0-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u548, _u550) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u550 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_add__is__0-3, axiom, ( ( _u549 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u551 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u549, _u551) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u552, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u552) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_plus__nat_Oadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u553) = _u553) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I17_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u556), c_Int_OBit1(_u558)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u556, _u558) )).
% 12.23/12.39 cnf(fact_rel__simps_I17_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u557, _u559) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u557), c_Int_OBit1(_u559)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__int__code_I16_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u562), c_Int_OBit1(_u564)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u562, _u564) )).
% 12.23/12.39 cnf(fact_less__int__code_I16_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u563, _u565) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u563), c_Int_OBit1(_u565)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I14_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u568), c_Int_OBit0(_u570)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u568, _u570) )).
% 12.23/12.39 cnf(fact_rel__simps_I14_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u569, _u571) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u569), c_Int_OBit0(_u571)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__int__code_I13_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u574), c_Int_OBit0(_u576)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u574, _u576) )).
% 12.23/12.39 cnf(fact_less__int__code_I13_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u575, _u577) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u575), c_Int_OBit0(_u577)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u583 = _u585) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u581), _u583) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u581), _u585)) )).
% 12.23/12.39 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u584 != _u586) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u582), _u584) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u582), _u586)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__mult__distrib2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u587, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u588, _u589)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u587, _u588), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u587, _u589))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__mult__distrib-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u590, _u591), _u592) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u590, _u592), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u591, _u592))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_left__add__mult__distrib-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u593, _u594), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u595, _u594), _u596)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u593, _u595), _u594), _u596)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__number__of__int__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u599), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u601)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u599, _u601) )).
% 12.23/12.39 cnf(fact_less__number__of__int__code-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u600, _u602) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u600), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u602)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__Suc-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Nat_OSuc(_u604)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u604) )).
% 12.23/12.39 cnf(fact_even__Suc-2, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u605) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Nat_OSuc(_u605)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__sum__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__sum__nat-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u608, _u610)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u608) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u610) )).
% 12.23/12.39 cnf(fact_even__sum__nat-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u608, _u610)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u610) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u608) )).
% 12.23/12.39 cnf(fact_even__sum__nat-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u609, _u611)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u609) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u611) )).
% 12.23/12.39 cnf(fact_even__sum__nat-4, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u609, _u611)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u609) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u611) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__add-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u614, _u616)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u614) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u616) )).
% 12.23/12.39 cnf(fact_even__add-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u614, _u616)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u616) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u614) )).
% 12.23/12.39 cnf(fact_even__add-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u615, _u617)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u615) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u617) )).
% 12.23/12.39 cnf(fact_even__add-4, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u615, _u617)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u617) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u615) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__add-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u620, _u622)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u620) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u622) )).
% 12.23/12.39 cnf(fact_odd__add-2, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u620, _u622)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u622) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u620) )).
% 12.23/12.39 cnf(fact_odd__add-3, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u621, _u623)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u621) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u623) )).
% 12.23/12.39 cnf(fact_odd__add-4, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u621, _u623)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u623) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u621) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__zero__int ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__zero__int-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__times__odd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__times__odd-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u624) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u625) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u624, _u625)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_anything__times__even ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_anything__times__even-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u626) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u627, _u626)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__times__anything ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__times__anything-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u628) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u628, _u629)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__product ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__product-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u632, _u634)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u632) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u634) )).
% 12.23/12.39 cnf(fact_even__product-2, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u633, _u635)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u633) )).
% 12.23/12.39 cnf(fact_even__product-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u633, _u635)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u635) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u636) | ~class_Rings_Olinordered__idom(_u636) | ~c_Orderings_Oord__class_Oless(_u636, c_Groups_Ozero__class_Ozero(_u636), c_Int_Onumber__class_Onumber__of(_u636, _u637)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u637) )).
% 12.23/12.39 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u636) | ~class_Rings_Olinordered__idom(_u636) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u637) | c_Orderings_Oord__class_Oless(_u636, c_Groups_Ozero__class_Ozero(_u636), c_Int_Onumber__class_Onumber__of(_u636, _u637)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u638) | ~class_Rings_Olinordered__idom(_u638) | ~c_Orderings_Oord__class_Oless(_u638, c_Int_Onumber__class_Onumber__of(_u638, _u639), c_Groups_Ozero__class_Ozero(_u638)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u639, c_Int_OPls) )).
% 12.23/12.39 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u638) | ~class_Rings_Olinordered__idom(_u638) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u639, c_Int_OPls) | c_Orderings_Oord__class_Oless(_u638, c_Int_Onumber__class_Onumber__of(_u638, _u639), c_Groups_Ozero__class_Ozero(_u638)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__power__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__power__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u640) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), _u641) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq-2, axiom, ( ~class_Rings_Olinordered__idom(_u640) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u641 != c_Groups_Ozero__class_Ozero(_u640)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq-3, axiom, ( ~class_Rings_Olinordered__idom(_u640) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u641 != c_Groups_Ozero__class_Ozero(_u640)) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), _u641) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq-4, axiom, ( ~class_Rings_Olinordered__idom(_u640) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq-5, axiom, ( ~class_Rings_Olinordered__idom(_u640) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) | ( _u641 = c_Groups_Ozero__class_Ozero(_u640)) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq-6, axiom, ( ~class_Rings_Olinordered__idom(_u640) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), _u641) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__less__zero__eq__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__less__zero__eq__number__of-1, axiom, ( ~class_Rings_Olinordered__idom(_u643) | ~c_Orderings_Oord__class_Oless(_u643, c_Power_Opower__class_Opower(_u643, _u644, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)), c_Groups_Ozero__class_Ozero(_u643)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)) )).
% 12.23/12.39 cnf(fact_power__less__zero__eq__number__of-2, axiom, ( ~class_Rings_Olinordered__idom(_u643) | ~c_Orderings_Oord__class_Oless(_u643, c_Power_Opower__class_Opower(_u643, _u644, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)), c_Groups_Ozero__class_Ozero(_u643)) | c_Orderings_Oord__class_Oless(_u643, _u644, c_Groups_Ozero__class_Ozero(_u643)) )).
% 12.23/12.39 cnf(fact_power__less__zero__eq__number__of-3, axiom, ( ~class_Rings_Olinordered__idom(_u643) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)) | ~c_Orderings_Oord__class_Oless(_u643, _u644, c_Groups_Ozero__class_Ozero(_u643)) | c_Orderings_Oord__class_Oless(_u643, c_Power_Opower__class_Opower(_u643, _u644, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)), c_Groups_Ozero__class_Ozero(_u643)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(_u646))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls))), _u646)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u647) | ~c_Orderings_Oord__class_Oless(_u647, c_Groups_Oplus__class_Oplus(_u647, c_Power_Opower__class_Opower(_u647, _u648, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u647, _u649, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u647)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u650) | ~c_Orderings_Oord__class_Oless(_u650, c_Groups_Ozero__class_Ozero(_u650), c_Groups_Oplus__class_Oplus(_u650, c_Power_Opower__class_Opower(_u650, _u651, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u650, _u652, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u651 != c_Groups_Ozero__class_Ozero(_u650)) | ( _u652 != c_Groups_Ozero__class_Ozero(_u650)) )).
% 12.23/12.39 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u650) | c_Orderings_Oord__class_Oless(_u650, c_Groups_Ozero__class_Ozero(_u650), c_Groups_Oplus__class_Oplus(_u650, c_Power_Opower__class_Opower(_u650, _u651, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u650, _u652, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u651 = c_Groups_Ozero__class_Ozero(_u650)) )).
% 12.23/12.39 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u650) | c_Orderings_Oord__class_Oless(_u650, c_Groups_Ozero__class_Ozero(_u650), c_Groups_Oplus__class_Oplus(_u650, c_Power_Opower__class_Opower(_u650, _u651, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u650, _u652, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u652 = c_Groups_Ozero__class_Ozero(_u650)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u653) | ~c_Rings_Odvd__class_Odvd(_u653, c_Groups_Otimes__class_Otimes(_u653, _u654, _u655), c_Groups_Otimes__class_Otimes(_u653, _u654, _u656)) | ( _u654 = c_Groups_Ozero__class_Ozero(_u653)) | c_Rings_Odvd__class_Odvd(_u653, _u655, _u656) )).
% 12.23/12.39 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u653) | c_Rings_Odvd__class_Odvd(_u653, c_Groups_Otimes__class_Otimes(_u653, _u654, _u655), c_Groups_Otimes__class_Otimes(_u653, _u654, _u656)) | ( _u654 != c_Groups_Ozero__class_Ozero(_u653)) )).
% 12.23/12.39 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u653) | c_Rings_Odvd__class_Odvd(_u653, c_Groups_Otimes__class_Otimes(_u653, _u654, _u655), c_Groups_Otimes__class_Otimes(_u653, _u654, _u656)) | ~c_Rings_Odvd__class_Odvd(_u653, _u655, _u656) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u657) | ~c_Rings_Odvd__class_Odvd(_u657, c_Groups_Otimes__class_Otimes(_u657, _u658, _u659), c_Groups_Otimes__class_Otimes(_u657, _u660, _u659)) | ( _u659 = c_Groups_Ozero__class_Ozero(_u657)) | c_Rings_Odvd__class_Odvd(_u657, _u658, _u660) )).
% 12.23/12.39 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u657) | c_Rings_Odvd__class_Odvd(_u657, c_Groups_Otimes__class_Otimes(_u657, _u658, _u659), c_Groups_Otimes__class_Otimes(_u657, _u660, _u659)) | ( _u659 != c_Groups_Ozero__class_Ozero(_u657)) )).
% 12.23/12.39 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u657) | c_Rings_Odvd__class_Odvd(_u657, c_Groups_Otimes__class_Otimes(_u657, _u658, _u659), c_Groups_Otimes__class_Otimes(_u657, _u660, _u659)) | ~c_Rings_Odvd__class_Odvd(_u657, _u658, _u660) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u661) | ~c_Orderings_Oord__class_Oless(_u661, _u662, c_Groups_Ozero__class_Ozero(_u661)) | c_Orderings_Oord__class_Oless(_u661, c_Power_Opower__class_Opower(_u661, _u662, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u663))), c_Groups_Ozero__class_Ozero(_u661)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u664) | ~c_Int_Oiszero(_u664, _u665) | ( _u665 = c_Groups_Ozero__class_Ozero(_u664)) )).
% 12.23/12.39 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u664) | ( _u665 != c_Groups_Ozero__class_Ozero(_u664)) | c_Int_Oiszero(_u664, _u665) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u666) | c_Int_Oiszero(_u666, c_Groups_Ozero__class_Ozero(_u666)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__power__eq__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__power__eq__number__of-1, axiom, ( ~class_Rings_Olinordered__idom(_u667) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), _u668) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq__number__of-2, axiom, ( ~class_Rings_Olinordered__idom(_u667) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u668 != c_Groups_Ozero__class_Ozero(_u667)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq__number__of-3, axiom, ( ~class_Rings_Olinordered__idom(_u667) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u668 != c_Groups_Ozero__class_Ozero(_u667)) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), _u668) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq__number__of-4, axiom, ( ~class_Rings_Olinordered__idom(_u667) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq__number__of-5, axiom, ( ~class_Rings_Olinordered__idom(_u667) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) | ( _u668 = c_Groups_Ozero__class_Ozero(_u667)) )).
% 12.23/12.39 cnf(fact_zero__less__power__eq__number__of-6, axiom, ( ~class_Rings_Olinordered__idom(_u667) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), _u668) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u670, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Nat_OSuc(c_Nat_OSuc(_u670))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__2__eq__Suc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u671) = c_Nat_OSuc(c_Nat_OSuc(_u671))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u672) | ( c_Groups_Oplus__class_Oplus(_u672, c_Groups_Otimes__class_Otimes(_u672, _u673, _u673), c_Groups_Otimes__class_Otimes(_u672, _u674, _u674)) != c_Groups_Ozero__class_Ozero(_u672)) | ( _u673 = c_Groups_Ozero__class_Ozero(_u672)) )).
% 12.23/12.39 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u672) | ( c_Groups_Oplus__class_Oplus(_u672, c_Groups_Otimes__class_Otimes(_u672, _u673, _u673), c_Groups_Otimes__class_Otimes(_u672, _u674, _u674)) != c_Groups_Ozero__class_Ozero(_u672)) | ( _u674 = c_Groups_Ozero__class_Ozero(_u672)) )).
% 12.23/12.39 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u672) | ( _u673 != c_Groups_Ozero__class_Ozero(_u672)) | ( _u674 != c_Groups_Ozero__class_Ozero(_u672)) | ( c_Groups_Oplus__class_Oplus(_u672, c_Groups_Otimes__class_Otimes(_u672, _u673, _u673), c_Groups_Otimes__class_Otimes(_u672, _u674, _u674)) = c_Groups_Ozero__class_Ozero(_u672)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u675) | ( _u676 = c_Groups_Ozero__class_Ozero(_u675)) | ( _u677 != _u678) | ( _u679 = _u680) | ( c_Groups_Oplus__class_Oplus(_u675, _u677, c_Groups_Otimes__class_Otimes(_u675, _u676, _u679)) != c_Groups_Oplus__class_Oplus(_u675, _u678, c_Groups_Otimes__class_Otimes(_u675, _u676, _u680))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u681) | ~class_Rings_Osemiring(_u681) | ( c_Groups_Otimes__class_Otimes(_u681, c_Int_Onumber__class_Onumber__of(_u681, _u682), c_Groups_Oplus__class_Oplus(_u681, _u683, _u684)) = c_Groups_Oplus__class_Oplus(_u681, c_Groups_Otimes__class_Otimes(_u681, c_Int_Onumber__class_Onumber__of(_u681, _u682), _u683), c_Groups_Otimes__class_Otimes(_u681, c_Int_Onumber__class_Onumber__of(_u681, _u682), _u684))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u685) | ~class_Rings_Osemiring(_u685) | ( c_Groups_Otimes__class_Otimes(_u685, c_Groups_Oplus__class_Oplus(_u685, _u686, _u687), c_Int_Onumber__class_Onumber__of(_u685, _u688)) = c_Groups_Oplus__class_Oplus(_u685, c_Groups_Otimes__class_Otimes(_u685, _u686, c_Int_Onumber__class_Onumber__of(_u685, _u688)), c_Groups_Otimes__class_Otimes(_u685, _u687, c_Int_Onumber__class_Onumber__of(_u685, _u688)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u689) | ~c_Orderings_Oord__class_Oless(_u689, _u690, _u691) | ~c_Orderings_Oord__class_Oless(_u689, _u692, c_Groups_Ozero__class_Ozero(_u689)) | c_Orderings_Oord__class_Oless(_u689, c_Groups_Otimes__class_Otimes(_u689, _u692, _u691), c_Groups_Otimes__class_Otimes(_u689, _u692, _u690)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u693) | ~c_Orderings_Oord__class_Oless(_u693, _u694, _u695) | ~c_Orderings_Oord__class_Oless(_u693, _u696, c_Groups_Ozero__class_Ozero(_u693)) | c_Orderings_Oord__class_Oless(_u693, c_Groups_Otimes__class_Otimes(_u693, _u695, _u696), c_Groups_Otimes__class_Otimes(_u693, _u694, _u696)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u697) | ~c_Orderings_Oord__class_Oless(_u697, _u698, _u699) | ~c_Orderings_Oord__class_Oless(_u697, c_Groups_Ozero__class_Ozero(_u697), _u700) | c_Orderings_Oord__class_Oless(_u697, c_Groups_Otimes__class_Otimes(_u697, _u700, _u698), c_Groups_Otimes__class_Otimes(_u697, _u700, _u699)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u701) | ~c_Orderings_Oord__class_Oless(_u701, _u702, _u703) | ~c_Orderings_Oord__class_Oless(_u701, c_Groups_Ozero__class_Ozero(_u701), _u704) | c_Orderings_Oord__class_Oless(_u701, c_Groups_Otimes__class_Otimes(_u701, _u704, _u702), c_Groups_Otimes__class_Otimes(_u701, _u704, _u703)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u705) | ~c_Orderings_Oord__class_Oless(_u705, _u706, _u707) | ~c_Orderings_Oord__class_Oless(_u705, c_Groups_Ozero__class_Ozero(_u705), _u708) | c_Orderings_Oord__class_Oless(_u705, c_Groups_Otimes__class_Otimes(_u705, _u706, _u708), c_Groups_Otimes__class_Otimes(_u705, _u707, _u708)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u709) | ~c_Orderings_Oord__class_Oless(_u709, _u710, c_Groups_Ozero__class_Ozero(_u709)) | ~c_Orderings_Oord__class_Oless(_u709, _u711, c_Groups_Ozero__class_Ozero(_u709)) | c_Orderings_Oord__class_Oless(_u709, c_Groups_Ozero__class_Ozero(_u709), c_Groups_Otimes__class_Otimes(_u709, _u710, _u711)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u712) | ~c_Orderings_Oord__class_Oless(_u712, _u713, c_Groups_Ozero__class_Ozero(_u712)) | ~c_Orderings_Oord__class_Oless(_u712, c_Groups_Ozero__class_Ozero(_u712), _u714) | c_Orderings_Oord__class_Oless(_u712, c_Groups_Otimes__class_Otimes(_u712, _u713, _u714), c_Groups_Ozero__class_Ozero(_u712)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u715) | ~c_Orderings_Oord__class_Oless(_u715, _u716, c_Groups_Ozero__class_Ozero(_u715)) | ~c_Orderings_Oord__class_Oless(_u715, c_Groups_Otimes__class_Otimes(_u715, _u716, _u717), c_Groups_Otimes__class_Otimes(_u715, _u716, _u718)) | c_Orderings_Oord__class_Oless(_u715, _u718, _u717) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u715) | ~c_Orderings_Oord__class_Oless(_u715, _u716, c_Groups_Ozero__class_Ozero(_u715)) | ~c_Orderings_Oord__class_Oless(_u715, _u718, _u717) | c_Orderings_Oord__class_Oless(_u715, c_Groups_Otimes__class_Otimes(_u715, _u716, _u717), c_Groups_Otimes__class_Otimes(_u715, _u716, _u718)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u719) | ~c_Orderings_Oord__class_Oless(_u719, c_Groups_Ozero__class_Ozero(_u719), c_Groups_Otimes__class_Otimes(_u719, _u720, _u721)) | ~c_Orderings_Oord__class_Oless(_u719, c_Groups_Ozero__class_Ozero(_u719), _u721) | c_Orderings_Oord__class_Oless(_u719, c_Groups_Ozero__class_Ozero(_u719), _u720) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u722) | ~c_Orderings_Oord__class_Oless(_u722, c_Groups_Ozero__class_Ozero(_u722), c_Groups_Otimes__class_Otimes(_u722, _u723, _u724)) | ~c_Orderings_Oord__class_Oless(_u722, c_Groups_Ozero__class_Ozero(_u722), _u723) | c_Orderings_Oord__class_Oless(_u722, c_Groups_Ozero__class_Ozero(_u722), _u724) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u725) | ~c_Orderings_Oord__class_Oless(_u725, c_Groups_Ozero__class_Ozero(_u725), _u726) | ~c_Orderings_Oord__class_Oless(_u725, _u727, c_Groups_Ozero__class_Ozero(_u725)) | c_Orderings_Oord__class_Oless(_u725, c_Groups_Otimes__class_Otimes(_u725, _u727, _u726), c_Groups_Ozero__class_Ozero(_u725)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u728) | ~c_Orderings_Oord__class_Oless(_u728, c_Groups_Ozero__class_Ozero(_u728), _u729) | ~c_Orderings_Oord__class_Oless(_u728, _u730, c_Groups_Ozero__class_Ozero(_u728)) | c_Orderings_Oord__class_Oless(_u728, c_Groups_Otimes__class_Otimes(_u728, _u729, _u730), c_Groups_Ozero__class_Ozero(_u728)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u731) | ~c_Orderings_Oord__class_Oless(_u731, c_Groups_Ozero__class_Ozero(_u731), _u732) | ~c_Orderings_Oord__class_Oless(_u731, c_Groups_Ozero__class_Ozero(_u731), _u733) | c_Orderings_Oord__class_Oless(_u731, c_Groups_Ozero__class_Ozero(_u731), c_Groups_Otimes__class_Otimes(_u731, _u732, _u733)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u734) | ~c_Orderings_Oord__class_Oless(_u734, c_Groups_Ozero__class_Ozero(_u734), _u735) | ~c_Orderings_Oord__class_Oless(_u734, c_Groups_Otimes__class_Otimes(_u734, _u735, _u736), c_Groups_Otimes__class_Otimes(_u734, _u735, _u737)) | c_Orderings_Oord__class_Oless(_u734, _u736, _u737) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u734) | ~c_Orderings_Oord__class_Oless(_u734, c_Groups_Ozero__class_Ozero(_u734), _u735) | ~c_Orderings_Oord__class_Oless(_u734, _u736, _u737) | c_Orderings_Oord__class_Oless(_u734, c_Groups_Otimes__class_Otimes(_u734, _u735, _u736), c_Groups_Otimes__class_Otimes(_u734, _u735, _u737)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Ozero__class_Ozero(_u738), _u739) | c_Orderings_Oord__class_Oless(_u738, _u739, c_Groups_Ozero__class_Ozero(_u738)) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Ozero__class_Ozero(_u738), _u739) | c_Orderings_Oord__class_Oless(_u738, _u741, _u740) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, _u740, _u741) | c_Orderings_Oord__class_Oless(_u738, _u739, c_Groups_Ozero__class_Ozero(_u738)) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, _u740, _u741) | c_Orderings_Oord__class_Oless(_u738, _u741, _u740) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u738) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Ozero__class_Ozero(_u738), _u739) | ~c_Orderings_Oord__class_Oless(_u738, _u740, _u741) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u738) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | ~c_Orderings_Oord__class_Oless(_u738, _u739, c_Groups_Ozero__class_Ozero(_u738)) | ~c_Orderings_Oord__class_Oless(_u738, _u741, _u740) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Ozero__class_Ozero(_u742), _u744) | c_Orderings_Oord__class_Oless(_u742, _u744, c_Groups_Ozero__class_Ozero(_u742)) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Ozero__class_Ozero(_u742), _u744) | c_Orderings_Oord__class_Oless(_u742, _u745, _u743) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, _u743, _u745) | c_Orderings_Oord__class_Oless(_u742, _u744, c_Groups_Ozero__class_Ozero(_u742)) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, _u743, _u745) | c_Orderings_Oord__class_Oless(_u742, _u745, _u743) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u742) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Ozero__class_Ozero(_u742), _u744) | ~c_Orderings_Oord__class_Oless(_u742, _u743, _u745) )).
% 12.23/12.39 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u742) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | ~c_Orderings_Oord__class_Oless(_u742, _u744, c_Groups_Ozero__class_Ozero(_u742)) | ~c_Orderings_Oord__class_Oless(_u742, _u745, _u743) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u746) | ~c_Orderings_Oord__class_Oless(_u746, c_Groups_Otimes__class_Otimes(_u746, _u747, _u747), c_Groups_Ozero__class_Ozero(_u746)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u748) | ( c_Groups_Oplus__class_Oplus(_u748, _u749, c_Int_Onumber__class_Onumber__of(_u748, c_Int_OPls)) = _u749) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u750) | ( c_Groups_Oplus__class_Oplus(_u750, c_Int_Onumber__class_Onumber__of(_u750, c_Int_OPls), _u751) = _u751) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__dvd__cancel__disj ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__dvd__cancel__disj-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u755, _u757), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u755, _u759)) | ( _u755 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u757, _u759) )).
% 12.23/12.39 cnf(fact_nat__mult__dvd__cancel__disj-2, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u758), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u760)) | ( _u756 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_nat__mult__dvd__cancel__disj-3, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u758), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u760)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u758, _u760) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__eq__1__iff-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u763, _u765) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u763 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_mult__eq__1__iff-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u763, _u765) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u765 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u764 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u766 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u764, _u766) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u768), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u768, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u769, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u769), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I12_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u771), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u771, c_Int_OPls) )).
% 12.23/12.39 cnf(fact_rel__simps_I12_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u772, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u772), c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I16_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u775), c_Int_OBit0(_u777)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u775, _u777) )).
% 12.23/12.39 cnf(fact_rel__simps_I16_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u776, _u778) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u776), c_Int_OBit0(_u778)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__int__code_I15_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u781), c_Int_OBit0(_u783)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u781, _u783) )).
% 12.23/12.39 cnf(fact_less__int__code_I15_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u782, _u784) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u782), c_Int_OBit0(_u784)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u786), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u787, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u787), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u789)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u789) )).
% 12.23/12.39 cnf(fact_rel__simps_I4_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u790) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u790)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I10_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u792), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u792, c_Int_OPls) )).
% 12.23/12.39 cnf(fact_rel__simps_I10_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u793, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u793), c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zmult__zless__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u794, _u795) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u796) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u796, _u794), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u796, _u795)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u797) | ( c_Groups_Oplus__class_Oplus(_u797, c_Power_Opower__class_Opower(_u797, _u798, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u797, _u799, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u797)) | ( _u798 = c_Groups_Ozero__class_Ozero(_u797)) )).
% 12.23/12.39 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u797) | ( c_Groups_Oplus__class_Oplus(_u797, c_Power_Opower__class_Opower(_u797, _u798, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u797, _u799, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u797)) | ( _u799 = c_Groups_Ozero__class_Ozero(_u797)) )).
% 12.23/12.39 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u797) | ( _u798 != c_Groups_Ozero__class_Ozero(_u797)) | ( _u799 != c_Groups_Ozero__class_Ozero(_u797)) | ( c_Groups_Oplus__class_Oplus(_u797, c_Power_Opower__class_Opower(_u797, _u798, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u797, _u799, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u797)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u800) | ~c_Orderings_Oord__class_Oless(_u800, c_Power_Opower__class_Opower(_u800, _u801, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Groups_Ozero__class_Ozero(_u800)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u802) | ~c_Orderings_Oord__class_Oless(_u802, c_Groups_Ozero__class_Ozero(_u802), c_Power_Opower__class_Opower(_u802, _u803, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u803 != c_Groups_Ozero__class_Ozero(_u802)) )).
% 12.23/12.39 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u802) | ( _u803 = c_Groups_Ozero__class_Ozero(_u802)) | c_Orderings_Oord__class_Oless(_u802, c_Groups_Ozero__class_Ozero(_u802), c_Power_Opower__class_Opower(_u802, _u803, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u804) | ( c_Power_Opower__class_Opower(_u804, c_Groups_Oplus__class_Oplus(_u804, _u805, _u806), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u804, c_Groups_Oplus__class_Oplus(_u804, c_Power_Opower__class_Opower(_u804, _u805, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u804, _u806, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(_u804, c_Groups_Otimes__class_Otimes(_u804, c_Int_Onumber__class_Onumber__of(_u804, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u805), _u806))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u807) | ( c_Power_Opower__class_Opower(_u807, _u808, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u809))) = c_Groups_Otimes__class_Otimes(_u807, _u808, c_Power_Opower__class_Opower(_u807, c_Power_Opower__class_Opower(_u807, _u808, _u809), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u810) | ( c_Power_Opower__class_Opower(_u810, _u811, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u812))) = c_Groups_Otimes__class_Otimes(_u810, _u811, c_Groups_Otimes__class_Otimes(_u810, c_Power_Opower__class_Opower(_u810, _u811, _u812), c_Power_Opower__class_Opower(_u810, _u811, _u812)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__eq__0__iff__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__eq__0__iff__number__of-1, axiom, ( ~class_Power_Opower(_u813) | ~class_Rings_Omult__zero(_u813) | ~class_Rings_Ono__zero__divisors(_u813) | ~class_Rings_Ozero__neq__one(_u813) | ( c_Power_Opower__class_Opower(_u813, _u814, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815)) != c_Groups_Ozero__class_Ozero(_u813)) | ( _u814 = c_Groups_Ozero__class_Ozero(_u813)) )).
% 12.23/12.39 cnf(fact_power__eq__0__iff__number__of-2, axiom, ( ~class_Power_Opower(_u813) | ~class_Rings_Omult__zero(_u813) | ~class_Rings_Ono__zero__divisors(_u813) | ~class_Rings_Ozero__neq__one(_u813) | ( c_Power_Opower__class_Opower(_u813, _u814, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815)) != c_Groups_Ozero__class_Ozero(_u813)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_power__eq__0__iff__number__of-3, axiom, ( ~class_Power_Opower(_u813) | ~class_Rings_Omult__zero(_u813) | ~class_Rings_Ono__zero__divisors(_u813) | ~class_Rings_Ozero__neq__one(_u813) | ( _u814 != c_Groups_Ozero__class_Ozero(_u813)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u813, _u814, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815)) = c_Groups_Ozero__class_Ozero(_u813)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u816) | ( c_Int_Onumber__class_Onumber__of(_u816, c_Int_OBit0(_u817)) = c_Groups_Oplus__class_Oplus(_u816, c_Groups_Oplus__class_Oplus(_u816, c_Groups_Ozero__class_Ozero(_u816), c_Int_Onumber__class_Onumber__of(_u816, _u817)), c_Int_Onumber__class_Onumber__of(_u816, _u817))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__nat__equiv__def2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__nat__equiv__def2-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u821) | ( _u821 = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), skolem5(_u821)))) )).
% 12.23/12.39 cnf(fact_odd__nat__equiv__def2-2, axiom, ( ( _u822 != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u819))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u822) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__nat__equiv__def2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__nat__equiv__def2-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u826) | ( _u826 = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), skolem6(_u826))) )).
% 12.23/12.39 cnf(fact_even__nat__equiv__def2-2, axiom, ( ( _u827 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u824)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u827) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u828) | ~class_Int_Oring__char__0(_u828) | ~c_Int_Oiszero(_u828, c_Int_Onumber__class_Onumber__of(_u828, c_Int_OBit1(_u829))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u830) | c_Int_Oiszero(_u830, c_Int_Onumber__class_Onumber__of(_u830, c_Int_OPls)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u831) | ~class_Int_Oring__char__0(_u831) | ~c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, c_Int_OBit0(_u832))) | c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, _u832)) )).
% 12.23/12.39 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u831) | ~class_Int_Oring__char__0(_u831) | ~c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, _u832)) | c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, c_Int_OBit0(_u832))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u833) | ( c_Power_Opower__class_Opower(_u833, _u834, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_u833, c_Groups_Otimes__class_Otimes(_u833, _u834, _u834), _u834)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_numeral__1__eq__Suc__0-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_numeral__3__eq__3-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u835) | ( c_Power_Opower__class_Opower(_u835, c_Groups_Ozero__class_Ozero(_u835), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u835)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u836) | ( c_Power_Opower__class_Opower(_u836, _u837, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u836)) | ( _u837 = c_Groups_Ozero__class_Ozero(_u836)) )).
% 12.23/12.39 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u836) | ( _u837 != c_Groups_Ozero__class_Ozero(_u836)) | ( c_Power_Opower__class_Opower(_u836, _u837, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u836)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u838) | ( c_Power_Opower__class_Opower(_u838, _u839, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_u838, _u839, _u839)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u840) | ( c_Groups_Otimes__class_Otimes(_u840, _u841, _u841) = c_Power_Opower__class_Opower(_u840, _u841, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u842) | ( c_Groups_Otimes__class_Otimes(_u842, _u843, c_Int_Onumber__class_Onumber__of(_u842, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u842, _u843, _u843)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u844) | ( c_Groups_Otimes__class_Otimes(_u844, c_Int_Onumber__class_Onumber__of(_u844, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u845) = c_Groups_Oplus__class_Oplus(_u844, _u845, _u845)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u846) | ( c_Power_Opower__class_Opower(_u846, _u847, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u848)) = c_Power_Opower__class_Opower(_u846, c_Power_Opower__class_Opower(_u846, _u847, _u848), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_semiring__norm_I115_J-1, axiom, ( ( c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_csqrt ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_csqrt-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Complex_Ocomplex, c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_u849), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u849) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_four__x__squared ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_four__x__squared-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u850, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u850), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u855) | ~class_Rings_Osemiring__0(_u855) | ~hBOOL(hAPP(_u856, c_Groups_Otimes__class_Otimes(_u855, _u857, _u851))) | c_Rings_Odvd__class_Odvd(_u855, _u857, c_Groups_Oplus__class_Oplus(_u855, skolem7(_u857, _u856, _u855), c_Groups_Ozero__class_Ozero(_u855))) )).
% 12.23/12.39 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u855) | ~class_Rings_Osemiring__0(_u855) | ~hBOOL(hAPP(_u856, c_Groups_Otimes__class_Otimes(_u855, _u857, _u851))) | hBOOL(hAPP(_u856, skolem7(_u857, _u856, _u855))) )).
% 12.23/12.39 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u855) | ~class_Rings_Osemiring__0(_u855) | ~c_Rings_Odvd__class_Odvd(_u855, _u857, c_Groups_Oplus__class_Oplus(_u855, _u853, c_Groups_Ozero__class_Ozero(_u855))) | ~hBOOL(hAPP(_u856, _u853)) | hBOOL(hAPP(_u856, c_Groups_Otimes__class_Otimes(_u855, _u857, skolem8(_u857, _u856, _u855)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u858) | ( c_Power_Opower__class_Opower(_u858, _u859, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u860, _u861)) = c_Groups_Otimes__class_Otimes(_u858, c_Power_Opower__class_Opower(_u858, _u859, _u860), c_Power_Opower__class_Opower(_u858, _u859, _u861))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u862) | ( c_Power_Opower__class_Opower(_u862, _u863, c_Nat_OSuc(_u864)) = c_Groups_Otimes__class_Otimes(_u862, _u863, c_Power_Opower__class_Opower(_u862, _u863, _u864))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u865) | ( c_Power_Opower__class_Opower(_u865, _u866, c_Nat_OSuc(_u867)) = c_Groups_Otimes__class_Otimes(_u865, c_Power_Opower__class_Opower(_u865, _u866, _u867), _u866)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u868) | ~class_Rings_Osemiring__0(_u868) | ( c_Power_Opower__class_Opower(_u868, c_Groups_Ozero__class_Ozero(_u868), c_Nat_OSuc(_u869)) = c_Groups_Ozero__class_Ozero(_u868)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u870) | ~class_Rings_Omult__zero(_u870) | ~class_Rings_Ono__zero__divisors(_u870) | ~class_Rings_Ozero__neq__one(_u870) | ( c_Power_Opower__class_Opower(_u870, _u871, _u872) != c_Groups_Ozero__class_Ozero(_u870)) | ( _u871 = c_Groups_Ozero__class_Ozero(_u870)) )).
% 12.23/12.39 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u870) | ~class_Rings_Omult__zero(_u870) | ~class_Rings_Ono__zero__divisors(_u870) | ~class_Rings_Ozero__neq__one(_u870) | ( c_Power_Opower__class_Opower(_u870, _u871, _u872) != c_Groups_Ozero__class_Ozero(_u870)) | ( _u872 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u870) | ~class_Rings_Omult__zero(_u870) | ~class_Rings_Ono__zero__divisors(_u870) | ~class_Rings_Ozero__neq__one(_u870) | ( _u871 != c_Groups_Ozero__class_Ozero(_u870)) | ( _u872 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u870, _u871, _u872) = c_Groups_Ozero__class_Ozero(_u870)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u873) | ~c_Orderings_Oord__class_Oless(_u873, c_Groups_Ozero__class_Ozero(_u873), _u874) | c_Orderings_Oord__class_Oless(_u873, c_Groups_Ozero__class_Ozero(_u873), c_Power_Opower__class_Opower(_u873, _u874, _u875)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u876) | ~c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), c_Groups_Oplus__class_Oplus(_u876, _u877, _u877)) | c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), _u877) )).
% 12.23/12.39 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u876) | ~c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), _u877) | c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), c_Groups_Oplus__class_Oplus(_u876, _u877, _u877)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__zeroE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u878, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u879, _u880) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u879), c_Nat_OSuc(_u880)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_lessI-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u881, c_Nat_OSuc(_u881)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__Suc-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Nat_OSuc(_u882)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__real__square__gt__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__real__square__gt__zero-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u884, _u884)) | ( _u884 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.39 cnf(fact_not__real__square__gt__zero-2, axiom, ( ( _u885 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u885, _u885)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u886, _u887) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u887, _u886)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u888, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u889, _u890)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u889, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u888, _u890))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u891, _u892), _u893) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u891, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u892, _u893))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zdvd__period ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zdvd__period-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, _u895) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, _u897)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u898, _u895)), _u897)) )).
% 12.23/12.39 cnf(fact_zdvd__period-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, _u895) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u898, _u895)), _u897)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, _u897)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zdvd__reduce ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zdvd__reduce-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u902, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u904, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u902, _u906))) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u902, _u904) )).
% 12.23/12.39 cnf(fact_zdvd__reduce-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u903, _u905) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u903, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u905, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u903, _u907))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__power__less__imp__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u908) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u908, _u909), c_Power_Opower__class_Opower(tc_Nat_Onat, _u908, _u910)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u909, _u910) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__zero__less__power__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u913, _u915)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u913) | ( _u915 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_nat__zero__less__power__iff-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u914, _u916)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u914) )).
% 12.23/12.39 cnf(fact_nat__zero__less__power__iff-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u914, _u916)) | ( _u916 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u917) = _u917) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u918, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u918) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Pls__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u919, c_Int_OPls) = _u919) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Pls-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, _u920) = _u920) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u921), c_Int_OBit0(_u922)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u921, _u922))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u923) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u923, _u923)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__less0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u924, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_neq0__conv-1, axiom, ( ( _u926 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u926) )).
% 12.23/12.39 cnf(fact_neq0__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u927) | ( _u927 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__nat__zero__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u928, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_gr__implies__not0-1, axiom, ( ( _u930 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u929, _u930) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_gr0I-1, axiom, ( ( _u931 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u931) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__power__nat__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__power__nat__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u934, _u936)) | ( _u936 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u934) )).
% 12.23/12.39 cnf(fact_zero__less__power__nat__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u935, _u937)) | ( _u937 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_zero__less__power__nat__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u935, _u937)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u935) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u938, _u939) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u938, _u940), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u939, _u940)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__less__SucD-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u941), c_Nat_OSuc(_u942)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u941, _u942) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__lessD-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u943), _u944) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u943, _u944) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__SucE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u945, c_Nat_OSuc(_u946)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u945, _u946) | ( _u945 = _u946) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__trans__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u947, _u948) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u948, _u949) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u947), _u949) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__lessI-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u950, _u951) | ( c_Nat_OSuc(_u950) = _u951) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u950), _u951) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__SucI-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u952, _u953) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u952, c_Nat_OSuc(_u953)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__antisym-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u954, _u955) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u954, c_Nat_OSuc(_u955)) | ( _u955 = _u954) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__less__less__Suc__eq-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, _u957) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, c_Nat_OSuc(_u957)) | ( _u956 = _u957) )).
% 12.23/12.39 cnf(fact_not__less__less__Suc__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, _u957) | ( _u956 != _u957) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, c_Nat_OSuc(_u957)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__less__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u960), c_Nat_OSuc(_u962)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u960, _u962) )).
% 12.23/12.39 cnf(fact_Suc__less__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u961, _u963) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u961), c_Nat_OSuc(_u963)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__Suc__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u966, c_Nat_OSuc(_u968)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u966, _u968) | ( _u966 = _u968) )).
% 12.23/12.39 cnf(fact_less__Suc__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u967, c_Nat_OSuc(_u969)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u967, _u969) )).
% 12.23/12.39 cnf(fact_less__Suc__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u967, c_Nat_OSuc(_u969)) | ( _u967 != _u969) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__less__eq-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u972, _u974) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u974, c_Nat_OSuc(_u972)) )).
% 12.23/12.39 cnf(fact_not__less__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u975, c_Nat_OSuc(_u973)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u973, _u975) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_plus__numeral__code_I9_J-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u976), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u977)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u976, _u977))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__lessD1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u978, _u979), _u980) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u978, _u980) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__add__eq__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u981, _u982) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u983, _u982) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u981, _u984)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u983, _u984) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u985, _u986) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u987, _u988) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u985, _u987), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u986, _u988)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u989, _u990) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u989, _u991), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u990, _u991)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_trans__less__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u992, _u993) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u992, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u994, _u993)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_trans__less__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u995, _u996) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u995, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u996, _u997)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__add__left__cancel__less-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1003, _u1005) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1001, _u1003), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1001, _u1005)) )).
% 12.23/12.39 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1004, _u1006) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1002, _u1004), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1002, _u1006)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__add__less2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1007, _u1008), _u1008) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__add__less1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1009, _u1010), _u1009) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1011, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1012, _u1013)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1011, _u1012), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1011, _u1013))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zadd__zmult__distrib-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1014, _u1015), _u1016) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1014, _u1016), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1015, _u1016))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zdvd__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zdvd__mono-1, axiom, ( ( _u1017 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1018, _u1019) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1018), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1019)) )).
% 12.23/12.39 cnf(fact_zdvd__mono-2, axiom, ( ( _u1017 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1018), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1019)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1018, _u1019) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__sum ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__sum-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1022, _u1024)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1022) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1024) )).
% 12.23/12.39 cnf(fact_even__sum-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1022, _u1024)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1024) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1022) )).
% 12.23/12.39 cnf(fact_even__sum-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1023, _u1025)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1023) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1025) )).
% 12.23/12.39 cnf(fact_even__sum-4, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1023, _u1025)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1023) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1025) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__plus__even ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__plus__even-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1026) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1027) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1026, _u1027)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__plus__odd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__plus__odd-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1028) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1029) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1028, _u1029)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__plus__even ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__plus__even-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1030) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1031) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1030, _u1031)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__plus__odd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__plus__odd-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1032) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1033) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1032, _u1033)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zdvd__not__zless ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zdvd__not__zless-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1034) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1034, _u1035) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1035, _u1034) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zdvd__mult__cancel ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zdvd__mult__cancel-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1036, _u1037), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1036, _u1038)) | ( _u1036 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1037, _u1038) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_u1039), c_Int_OBit0(_u1040)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1039, _u1040))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u1041), c_Int_OBit1(_u1042)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1041, _u1042))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__lt__two__imp__zero__or__one ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__lt__two__imp__zero__or__one-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1043, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u1043 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1043 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1048, c_Nat_OSuc(_u1050)) | ( _u1048 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1048 = c_Nat_OSuc(skolem9(_u1050, _u1048))) )).
% 12.23/12.39 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1048, c_Nat_OSuc(_u1050)) | ( _u1048 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem9(_u1050, _u1048), _u1050) )).
% 12.23/12.39 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1049, c_Nat_OSuc(_u1051)) | ( _u1049 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1049, c_Nat_OSuc(_u1051)) | ( _u1049 != c_Nat_OSuc(_u1045)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1045, _u1051) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__Suc0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1053, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1053 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_less__Suc0-2, axiom, ( ( _u1054 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1054, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_gr0__conv__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1058) | ( _u1058 = c_Nat_OSuc(skolem10(_u1058))) )).
% 12.23/12.39 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u1059 != c_Nat_OSuc(_u1056)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1059) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__dvd__not__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__dvd__not__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1060) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1060, _u1061) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1061, _u1060) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__less__power__nat__eq__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__less__power__nat__eq__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u1064, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1066))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1066) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1064) )).
% 12.23/12.39 cnf(fact_zero__less__power__nat__eq__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u1065, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1067))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1067) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_zero__less__power__nat__eq__number__of-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u1065, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1067))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1065) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__gr__0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1070, _u1072)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1070) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1072) )).
% 12.23/12.39 cnf(fact_add__gr__0-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1071, _u1073)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1071) )).
% 12.23/12.39 cnf(fact_add__gr__0-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1071, _u1073)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1073) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__iff__Suc__add-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1078, _u1080) | ( _u1080 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1078, skolem11(_u1080, _u1078)))) )).
% 12.23/12.39 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u1081 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1079, _u1075))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1079, _u1081) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__add__Suc2-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1082, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1083, _u1082))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__add__Suc1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1084, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1084, _u1085))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__0__less__mult__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1088, _u1090)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1088) )).
% 12.23/12.39 cnf(fact_nat__0__less__mult__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1088, _u1090)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1090) )).
% 12.23/12.39 cnf(fact_nat__0__less__mult__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1089) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1091) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1089, _u1091)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1097), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1099)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1095) )).
% 12.23/12.39 cnf(fact_mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1097), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1099)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1097, _u1099) )).
% 12.23/12.39 cnf(fact_mult__less__cancel1-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1096) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1098, _u1100) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1096, _u1098), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1096, _u1100)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1104, _u1106), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1108, _u1106)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1106) )).
% 12.23/12.39 cnf(fact_mult__less__cancel2-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1104, _u1106), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1108, _u1106)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1104, _u1108) )).
% 12.23/12.39 cnf(fact_mult__less__cancel2-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1107) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1105, _u1109) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1105, _u1107), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1109, _u1107)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1110) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1111) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1112)) | ( _u1111 = _u1112) )).
% 12.23/12.39 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1110) | ( _u1111 != _u1112) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1111) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1112)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1113) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1114), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1115)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1114, _u1115) )).
% 12.23/12.39 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1113) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1114, _u1115) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1114), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1115)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1116, _u1117) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1118) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1116, _u1118), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1117, _u1118)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1119, _u1120) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1121) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1121, _u1119), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1121, _u1120)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1127, _u1129) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1125), _u1127), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1125), _u1129)) )).
% 12.23/12.39 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1128, _u1130) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1126), _u1128), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1126), _u1130)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__pos ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__pos-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1131) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1131) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_even__power__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_even__power__nat-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u1134, _u1136)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1134) )).
% 12.23/12.39 cnf(fact_even__power__nat-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u1134, _u1136)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1136) )).
% 12.23/12.39 cnf(fact_even__power__nat-3, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1135) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1137) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u1135, _u1137)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__Bit1-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit1(_u1138), _u1139) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1138, _u1139)), _u1139)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u1140) | ( c_Groups_Ozero__class_Ozero(_u1140) != _u1141) | ( _u1141 = c_Groups_Ozero__class_Ozero(_u1140)) )).
% 12.23/12.39 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u1140) | ( _u1141 != c_Groups_Ozero__class_Ozero(_u1140)) | ( c_Groups_Ozero__class_Ozero(_u1140) = _u1141) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_n__less__m__mult__n-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1142) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1143) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1142, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1143, _u1142)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_n__less__n__mult__m-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1144) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1145) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1144, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1144, _u1145)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_one__less__mult-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1146) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1147) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1147, _u1146)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__mult__dvd__cancel1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__mult__dvd__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1148) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1149), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1150)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1149, _u1150) )).
% 12.23/12.39 cnf(fact_nat__mult__dvd__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1148) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1149, _u1150) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1149), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1150)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__mult__cancel ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__mult__cancel-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1151, _u1152), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1151, _u1153)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1151) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1152, _u1153) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1156), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1158)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1156, _u1158) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1158) )).
% 12.23/12.39 cnf(fact_less__nat__number__of-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1156), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1158)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1156, _u1158) )).
% 12.23/12.39 cnf(fact_less__nat__number__of-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1157), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1159)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1157, _u1159) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1159) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1160) | ( c_Groups_Otimes__class_Otimes(_u1160, c_Groups_Otimes__class_Otimes(_u1160, _u1161, _u1162), _u1163) = c_Groups_Otimes__class_Otimes(_u1160, _u1161, c_Groups_Otimes__class_Otimes(_u1160, _u1162, _u1163))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1164) | ( c_Groups_Oplus__class_Oplus(_u1164, c_Groups_Oplus__class_Oplus(_u1164, _u1165, _u1166), _u1167) = c_Groups_Oplus__class_Oplus(_u1164, _u1165, c_Groups_Oplus__class_Oplus(_u1164, _u1166, _u1167))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1168) | ( c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1170) != c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1171)) | ( _u1170 = _u1171) )).
% 12.23/12.39 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1168) | ( _u1170 != _u1171) | ( c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1170) = c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1171)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1172) | ( c_Groups_Oplus__class_Oplus(_u1172, _u1173, _u1174) != c_Groups_Oplus__class_Oplus(_u1172, _u1175, _u1174)) | ( _u1173 = _u1175) )).
% 12.23/12.39 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1172) | ( _u1173 != _u1175) | ( c_Groups_Oplus__class_Oplus(_u1172, _u1173, _u1174) = c_Groups_Oplus__class_Oplus(_u1172, _u1175, _u1174)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1176) | ( c_Groups_Oplus__class_Oplus(_u1176, _u1177, _u1178) != c_Groups_Oplus__class_Oplus(_u1176, _u1177, _u1179)) | ( _u1178 = _u1179) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1180) | ( c_Groups_Oplus__class_Oplus(_u1180, _u1181, _u1182) != c_Groups_Oplus__class_Oplus(_u1180, _u1181, _u1183)) | ( _u1182 = _u1183) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1184) | ( c_Groups_Oplus__class_Oplus(_u1184, _u1185, _u1186) != c_Groups_Oplus__class_Oplus(_u1184, _u1187, _u1186)) | ( _u1185 = _u1187) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_pos2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_pos2-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1190, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1190), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1192)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1192)) )).
% 12.23/12.39 cnf(fact_add__nat__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1191, c_Int_OPls) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1193, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1191), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1193)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1191)) )).
% 12.23/12.39 cnf(fact_add__nat__number__of-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1191, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1193, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1191), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1193)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1191, _u1193))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__0__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1195)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1195) )).
% 12.23/12.39 cnf(fact_less__0__number__of-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1196) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1196)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_int__even__iff__2__dvd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_int__even__iff__2__dvd-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1198) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1198) )).
% 12.23/12.39 cnf(fact_int__even__iff__2__dvd-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1199) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1199) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__2__cases-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1200, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) | ( _u1200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1200 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u1201) | ( c_Groups_Oplus__class_Oplus(_u1201, c_Groups_Ozero__class_Ozero(_u1201), _u1202) = _u1202) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1203) | ( c_Groups_Oplus__class_Oplus(_u1203, c_Groups_Ozero__class_Ozero(_u1203), _u1204) = _u1204) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1205) | ( c_Groups_Ozero__class_Ozero(_u1205) != c_Groups_Oplus__class_Oplus(_u1205, _u1206, _u1206)) | ( _u1206 = c_Groups_Ozero__class_Ozero(_u1205)) )).
% 12.23/12.39 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1205) | ( _u1206 != c_Groups_Ozero__class_Ozero(_u1205)) | ( c_Groups_Ozero__class_Ozero(_u1205) = c_Groups_Oplus__class_Oplus(_u1205, _u1206, _u1206)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u1207) | ( c_Groups_Oplus__class_Oplus(_u1207, _u1208, c_Groups_Ozero__class_Ozero(_u1207)) = _u1208) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1209) | ( c_Groups_Oplus__class_Oplus(_u1209, _u1210, c_Groups_Ozero__class_Ozero(_u1209)) = _u1210) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1211) | ~c_Orderings_Oord__class_Oless(_u1211, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1213), c_Groups_Oplus__class_Oplus(_u1211, _u1214, _u1213)) | c_Orderings_Oord__class_Oless(_u1211, _u1212, _u1214) )).
% 12.23/12.39 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1211) | ~c_Orderings_Oord__class_Oless(_u1211, _u1212, _u1214) | c_Orderings_Oord__class_Oless(_u1211, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1213), c_Groups_Oplus__class_Oplus(_u1211, _u1214, _u1213)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1215) | ~c_Orderings_Oord__class_Oless(_u1215, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1217), c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1218)) | c_Orderings_Oord__class_Oless(_u1215, _u1217, _u1218) )).
% 12.23/12.39 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1215) | ~c_Orderings_Oord__class_Oless(_u1215, _u1217, _u1218) | c_Orderings_Oord__class_Oless(_u1215, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1217), c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1218)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1219) | ~c_Orderings_Oord__class_Oless(_u1219, _u1220, _u1221) | c_Orderings_Oord__class_Oless(_u1219, c_Groups_Oplus__class_Oplus(_u1219, _u1220, _u1222), c_Groups_Oplus__class_Oplus(_u1219, _u1221, _u1222)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1223) | ~c_Orderings_Oord__class_Oless(_u1223, _u1224, _u1225) | c_Orderings_Oord__class_Oless(_u1223, c_Groups_Oplus__class_Oplus(_u1223, _u1226, _u1224), c_Groups_Oplus__class_Oplus(_u1223, _u1226, _u1225)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1227) | ~c_Orderings_Oord__class_Oless(_u1227, _u1228, _u1229) | ~c_Orderings_Oord__class_Oless(_u1227, _u1230, _u1231) | c_Orderings_Oord__class_Oless(_u1227, c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1230), c_Groups_Oplus__class_Oplus(_u1227, _u1229, _u1231)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1232) | ~c_Orderings_Oord__class_Oless(_u1232, c_Groups_Oplus__class_Oplus(_u1232, _u1233, _u1234), c_Groups_Oplus__class_Oplus(_u1232, _u1235, _u1234)) | c_Orderings_Oord__class_Oless(_u1232, _u1233, _u1235) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1236) | ~c_Orderings_Oord__class_Oless(_u1236, c_Groups_Oplus__class_Oplus(_u1236, _u1237, _u1238), c_Groups_Oplus__class_Oplus(_u1236, _u1237, _u1239)) | c_Orderings_Oord__class_Oless(_u1236, _u1238, _u1239) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1240) | ( _u1241 = c_Groups_Ozero__class_Ozero(_u1240)) | ( c_Power_Opower__class_Opower(_u1240, _u1241, _u1242) != c_Groups_Ozero__class_Ozero(_u1240)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1243) | ( c_Power_Opower__class_Opower(_u1243, c_Groups_Otimes__class_Otimes(_u1243, _u1244, _u1245), _u1246) = c_Groups_Otimes__class_Otimes(_u1243, c_Power_Opower__class_Opower(_u1243, _u1244, _u1246), c_Power_Opower__class_Opower(_u1243, _u1245, _u1246))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u1247) | ( c_Groups_Otimes__class_Otimes(_u1247, c_Power_Opower__class_Opower(_u1247, _u1248, _u1249), _u1248) = c_Groups_Otimes__class_Otimes(_u1247, _u1248, c_Power_Opower__class_Opower(_u1247, _u1248, _u1249))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u1252, _u1254) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1252 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u1253, _u1255) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1255 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u1253, _u1255) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1253 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__Suc__0-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1256) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1257) | ~c_Rings_Odvd__class_Odvd(_u1257, _u1258, _u1259) | c_Rings_Odvd__class_Odvd(_u1257, c_Power_Opower__class_Opower(_u1257, _u1258, _u1260), c_Power_Opower__class_Opower(_u1257, _u1259, _u1260)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u1261) | ( c_Power_Opower__class_Opower(_u1261, _u1262, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1263, _u1264)) = c_Power_Opower__class_Opower(_u1261, c_Power_Opower__class_Opower(_u1261, _u1262, _u1263), _u1264)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1265) | ~c_Orderings_Oord__class_Oless(_u1265, _u1266, c_Groups_Ozero__class_Ozero(_u1265)) | ~c_Orderings_Oord__class_Oless(_u1265, _u1267, c_Groups_Ozero__class_Ozero(_u1265)) | c_Orderings_Oord__class_Oless(_u1265, c_Groups_Oplus__class_Oplus(_u1265, _u1266, _u1267), c_Groups_Ozero__class_Ozero(_u1265)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1268) | ~c_Orderings_Oord__class_Oless(_u1268, c_Groups_Ozero__class_Ozero(_u1268), _u1269) | ~c_Orderings_Oord__class_Oless(_u1268, c_Groups_Ozero__class_Ozero(_u1268), _u1270) | c_Orderings_Oord__class_Oless(_u1268, c_Groups_Ozero__class_Ozero(_u1268), c_Groups_Oplus__class_Oplus(_u1268, _u1269, _u1270)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1271) | ~c_Orderings_Oord__class_Oless(_u1271, c_Groups_Oplus__class_Oplus(_u1271, _u1272, _u1272), c_Groups_Ozero__class_Ozero(_u1271)) | c_Orderings_Oord__class_Oless(_u1271, _u1272, c_Groups_Ozero__class_Ozero(_u1271)) )).
% 12.23/12.39 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1271) | ~c_Orderings_Oord__class_Oless(_u1271, _u1272, c_Groups_Ozero__class_Ozero(_u1271)) | c_Orderings_Oord__class_Oless(_u1271, c_Groups_Oplus__class_Oplus(_u1271, _u1272, _u1272), c_Groups_Ozero__class_Ozero(_u1271)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__sum__squared__expand ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__sum__squared__expand-1, axiom, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1273, _u1274), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1273, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1274, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1273), _u1274))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_realpow__two__sum__zero__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_realpow__two__sum__zero__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1277, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1279, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1277 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.39 cnf(fact_realpow__two__sum__zero__iff-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1277, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1279, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1279 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.39 cnf(fact_realpow__two__sum__zero__iff-3, axiom, ( ( _u1278 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1280 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1278, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1280, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u1281) | ~c_Orderings_Oord__class_Oless__eq(_u1281, c_Groups_Ozero__class_Ozero(_u1281), c_Power_Opower__class_Opower(_u1281, _u1282, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1283)))) | c_Orderings_Oord__class_Oless__eq(_u1281, c_Groups_Ozero__class_Ozero(_u1281), _u1282) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u1284) | ( c_Power_Opower__class_Opower(_u1284, c_Int_Onumber__class_Onumber__of(_u1284, c_Int_OMin), c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1285))) = c_Int_Onumber__class_Onumber__of(_u1284, c_Int_OMin)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u1286) | ( c_Power_Opower__class_Opower(_u1286, c_Groups_Ominus__class_Ominus(_u1286, _u1287, _u1288), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ominus__class_Ominus(_u1286, c_Groups_Oplus__class_Oplus(_u1286, c_Power_Opower__class_Opower(_u1286, _u1287, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u1286, _u1288, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(_u1286, c_Groups_Otimes__class_Otimes(_u1286, c_Int_Onumber__class_Onumber__of(_u1286, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1287), _u1288))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_odd__equiv__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_odd__equiv__def-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1292) | ( _u1292 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem12(_u1292)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.39 cnf(fact_odd__equiv__def-2, axiom, ( ( _u1293 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1290), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1293) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le0-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1294) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__mult__le__cancel__iff1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__mult__le__cancel__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1295) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1296, _u1295), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1297, _u1295)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1296, _u1297) )).
% 12.23/12.39 cnf(fact_real__mult__le__cancel__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1295) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1296, _u1297) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1296, _u1295), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1297, _u1295)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__mult__le__cancel__iff2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__mult__le__cancel__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1298) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1299), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1300)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1299, _u1300) )).
% 12.23/12.39 cnf(fact_real__mult__le__cancel__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1298) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1299, _u1300) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1299), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1300)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1301) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1302, _u1303) | ~c_Orderings_Oord__class_Oless__eq(_u1301, c_Groups_Ozero__class_Ozero(_u1301), _u1304) | ~c_Orderings_Oord__class_Oless__eq(_u1301, _u1304, c_Groups_Oone__class_Oone(_u1301)) | c_Orderings_Oord__class_Oless__eq(_u1301, c_Power_Opower__class_Opower(_u1301, _u1304, _u1303), c_Power_Opower__class_Opower(_u1301, _u1304, _u1302)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zle__diff1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1307, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1309, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1307, _u1309) )).
% 12.23/12.39 cnf(fact_zle__diff1__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1308, _u1310) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1308, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1310, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zdvd__zdiffD ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zdvd__zdiffD-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1311, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1312, _u1313)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1311, _u1313) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1311, _u1312) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1314) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1315, _u1316) | ~c_Orderings_Oord__class_Oless__eq(_u1314, c_Groups_Oone__class_Oone(_u1314), _u1317) | c_Orderings_Oord__class_Oless__eq(_u1314, c_Power_Opower__class_Opower(_u1314, _u1317, _u1315), c_Power_Opower__class_Opower(_u1314, _u1317, _u1316)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__add__left__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__add__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1318, _u1319) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1320, _u1318), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1320, _u1319)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1321) | ~c_Orderings_Oord__class_Oless(_u1321, c_Groups_Oone__class_Oone(_u1321), _u1322) | ~c_Orderings_Oord__class_Oless__eq(_u1321, c_Power_Opower__class_Opower(_u1321, _u1322, _u1323), c_Power_Opower__class_Opower(_u1321, _u1322, _u1324)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1323, _u1324) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, c_Groups_Oone__class_Oone(_u1325), _u1326) | ~c_Orderings_Oord__class_Oless__eq(_u1325, c_Power_Opower__class_Opower(_u1325, _u1326, _u1327), c_Power_Opower__class_Opower(_u1325, _u1326, _u1328)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1327, _u1328) )).
% 12.23/12.39 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, c_Groups_Oone__class_Oone(_u1325), _u1326) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1327, _u1328) | c_Orderings_Oord__class_Oless__eq(_u1325, c_Power_Opower__class_Opower(_u1325, _u1326, _u1327), c_Power_Opower__class_Opower(_u1325, _u1326, _u1328)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1329) | ~c_Orderings_Oord__class_Oless__eq(_u1329, c_Groups_Oone__class_Oone(_u1329), _u1330) | c_Orderings_Oord__class_Oless__eq(_u1329, c_Groups_Oone__class_Oone(_u1329), c_Power_Opower__class_Opower(_u1329, _u1330, _u1331)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__eq__real__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__eq__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1334, _u1336) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1334, _u1336) | ( _u1334 = _u1336) )).
% 12.23/12.39 cnf(fact_less__eq__real__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1335, _u1337) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1335, _u1337) )).
% 12.23/12.39 cnf(fact_less__eq__real__def-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1335, _u1337) | ( _u1335 != _u1337) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__less__def ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__less__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1340, _u1342) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1340, _u1342) )).
% 12.23/12.39 cnf(fact_real__less__def-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1340, _u1342) | ( _u1340 != _u1342) )).
% 12.23/12.39 cnf(fact_real__less__def-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1341, _u1343) | ( _u1341 = _u1343) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1341, _u1343) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__not__refl-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1344, _u1344) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__neq__iff-1, axiom, ( ( _u1347 = _u1349) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1347, _u1349) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1349, _u1347) )).
% 12.23/12.39 cnf(fact_nat__neq__iff-2, axiom, ( ( _u1348 != _u1350) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1348, _u1350) )).
% 12.23/12.39 cnf(fact_nat__neq__iff-3, axiom, ( ( _u1348 != _u1350) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1350, _u1348) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__less__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1353, _u1355) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1353, _u1355) )).
% 12.23/12.39 cnf(fact_nat__less__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1353, _u1355) | ( _u1353 != _u1355) )).
% 12.23/12.39 cnf(fact_nat__less__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1354, _u1356) | ( _u1354 = _u1356) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1354, _u1356) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1359, _u1361) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1359, _u1361) | ( _u1359 = _u1361) )).
% 12.23/12.39 cnf(fact_le__eq__less__or__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1360, _u1362) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1360, _u1362) )).
% 12.23/12.39 cnf(fact_le__eq__less__or__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1360, _u1362) | ( _u1360 != _u1362) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u1363 = _u1364) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1363, _u1364) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1364, _u1363) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__irrefl__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1365, _u1365) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__not__refl2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1366, _u1367) | ( _u1367 != _u1366) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__not__refl3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1368, _u1369) | ( _u1368 != _u1369) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__imp__le__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1370, _u1371) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1370, _u1371) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__imp__diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1372, _u1373) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1372, _u1374), _u1373) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__neq__implies__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1375, _u1376) | ( _u1375 = _u1376) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1375, _u1376) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1377, _u1378) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1379, _u1377) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1377, _u1379), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1378, _u1379)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1380, _u1381) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1380, _u1382) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1382, _u1381), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1382, _u1380)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1384) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1385) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1384, _u1383), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1385, _u1383)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1384, _u1385) )).
% 12.23/12.39 cnf(fact_less__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1384) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1385) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1384, _u1385) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1384, _u1383), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1385, _u1383)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_less__or__eq__imp__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1386, _u1387) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1386, _u1387) )).
% 12.23/12.39 cnf(fact_less__or__eq__imp__le-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1386, _u1387) | ( _u1386 != _u1387) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__less__cases-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1388, _u1389) | ( _u1388 = _u1389) | hBOOL(hAPP(hAPP(_u1390, _u1389), _u1388)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1389, _u1388) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u1391) | ~class_Rings_Olinordered__idom(_u1391) | ~c_Orderings_Oord__class_Oless__eq(_u1391, c_Int_Onumber__class_Onumber__of(_u1391, _u1392), c_Int_Onumber__class_Onumber__of(_u1391, _u1393)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1392, _u1393) )).
% 12.23/12.39 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u1391) | ~class_Rings_Olinordered__idom(_u1391) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1392, _u1393) | c_Orderings_Oord__class_Oless__eq(_u1391, c_Int_Onumber__class_Onumber__of(_u1391, _u1392), c_Int_Onumber__class_Onumber__of(_u1391, _u1393)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1394) | ( c_Groups_Oone__class_Oone(_u1394) != _u1395) | ( _u1395 = c_Groups_Oone__class_Oone(_u1394)) )).
% 12.23/12.39 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1394) | ( _u1395 != c_Groups_Oone__class_Oone(_u1394)) | ( c_Groups_Oone__class_Oone(_u1394) = _u1395) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1396) | ( c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398) != c_Groups_Ominus__class_Ominus(_u1396, _u1399, _u1400)) | ( _u1397 != _u1398) | ( _u1399 = _u1400) )).
% 12.23/12.39 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1396) | ( c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398) != c_Groups_Ominus__class_Ominus(_u1396, _u1399, _u1400)) | ( _u1399 != _u1400) | ( _u1397 = _u1398) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1401) | ( c_Groups_Ominus__class_Ominus(_u1401, _u1402, _u1403) != c_Groups_Ominus__class_Ominus(_u1401, _u1404, _u1405)) | ~c_Orderings_Oord__class_Oless__eq(_u1401, _u1402, _u1403) | c_Orderings_Oord__class_Oless__eq(_u1401, _u1404, _u1405) )).
% 12.23/12.39 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1401) | ( c_Groups_Ominus__class_Ominus(_u1401, _u1402, _u1403) != c_Groups_Ominus__class_Ominus(_u1401, _u1404, _u1405)) | ~c_Orderings_Oord__class_Oless__eq(_u1401, _u1404, _u1405) | c_Orderings_Oord__class_Oless__eq(_u1401, _u1402, _u1403) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u1406) | ( c_Int_Onumber__class_Onumber__of(_u1406, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1407, _u1408)) = c_Groups_Ominus__class_Ominus(_u1406, c_Int_Onumber__class_Onumber__of(_u1406, _u1407), c_Int_Onumber__class_Onumber__of(_u1406, _u1408))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, _u1411) | c_Orderings_Oord__class_Oless__eq(_u1409, c_Groups_Ominus__class_Ominus(_u1409, _u1410, _u1411), c_Groups_Ozero__class_Ozero(_u1409)) )).
% 12.23/12.39 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, c_Groups_Ominus__class_Ominus(_u1409, _u1410, _u1411), c_Groups_Ozero__class_Ozero(_u1409)) | c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, _u1411) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__diffD ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__diffD-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1412, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1413, _u1414)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1412, _u1414) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1414, _u1413) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1412, _u1413) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_dvd__diffD1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_dvd__diffD1-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1415, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1416, _u1417)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1415, _u1416) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1417, _u1416) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1415, _u1417) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__add__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1418, _u1419) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1419, _u1420), _u1418) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1419, _u1418), _u1420)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__diff__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1421, _u1422) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1422, _u1421), _u1423) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1422, _u1423), _u1421)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__add__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1424, _u1425) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1426, _u1425), _u1424) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1426, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1425, _u1424))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1427, _u1428) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1428, _u1427) != _u1429) | ( _u1428 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1429, _u1427)) )).
% 12.23/12.39 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1427, _u1428) | ( _u1428 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1429, _u1427)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1428, _u1427) = _u1429) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1430, _u1431) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1431, _u1430), _u1430) = _u1431) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__diff__conv2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1432, _u1433) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1434, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1433, _u1432)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1434, _u1432), _u1433) )).
% 12.23/12.39 cnf(fact_le__diff__conv2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1432, _u1433) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1434, _u1432), _u1433) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1434, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1433, _u1432)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_add__diff__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1435, _u1436) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1437, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1436, _u1435)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1437, _u1436), _u1435)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__add__diff__inverse-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1438, _u1439) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1438, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1439, _u1438)) = _u1439) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__add__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1440, _u1441) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1442, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1441, _u1442), _u1440)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1446, _u1448), _u1450) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1446, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1450, _u1448)) )).
% 12.23/12.39 cnf(fact_le__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1447, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1451, _u1449)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1447, _u1449), _u1451) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__diff__right-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1452, _u1453) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1454, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1453, _u1452)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1454, _u1452), _u1453)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__squared__diff__one__factored ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__squared__diff__one__factored-1, axiom, ( ~class_Rings_Oring__1(_u1455) | ( c_Groups_Ominus__class_Ominus(_u1455, c_Groups_Otimes__class_Otimes(_u1455, _u1456, _u1456), c_Groups_Oone__class_Oone(_u1455)) = c_Groups_Otimes__class_Otimes(_u1455, c_Groups_Oplus__class_Oplus(_u1455, _u1456, c_Groups_Oone__class_Oone(_u1455)), c_Groups_Ominus__class_Ominus(_u1455, _u1456, c_Groups_Oone__class_Oone(_u1455)))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u1457) | ~class_Rings_Olinordered__idom(_u1457) | ~c_Orderings_Oord__class_Oless__eq(_u1457, c_Int_Onumber__class_Onumber__of(_u1457, _u1458), c_Groups_Oone__class_Oone(_u1457)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1458, c_Int_OBit1(c_Int_OPls)) )).
% 12.23/12.39 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u1457) | ~class_Rings_Olinordered__idom(_u1457) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1458, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless__eq(_u1457, c_Int_Onumber__class_Onumber__of(_u1457, _u1458), c_Groups_Oone__class_Oone(_u1457)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u1459) | ~class_Rings_Olinordered__idom(_u1459) | ~c_Orderings_Oord__class_Oless__eq(_u1459, c_Groups_Oone__class_Oone(_u1459), c_Int_Onumber__class_Onumber__of(_u1459, _u1460)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1460) )).
% 12.23/12.39 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u1459) | ~class_Rings_Olinordered__idom(_u1459) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1460) | c_Orderings_Oord__class_Oless__eq(_u1459, c_Groups_Oone__class_Oone(_u1459), c_Int_Onumber__class_Onumber__of(_u1459, _u1460)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1461) | ~c_Orderings_Oord__class_Oless__eq(_u1461, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1462, _u1463), _u1464), c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1465, _u1463), _u1466)) | c_Orderings_Oord__class_Oless__eq(_u1461, _u1464, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, c_Groups_Ominus__class_Ominus(_u1461, _u1465, _u1462), _u1463), _u1466)) )).
% 12.23/12.39 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1461) | ~c_Orderings_Oord__class_Oless__eq(_u1461, _u1464, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, c_Groups_Ominus__class_Ominus(_u1461, _u1465, _u1462), _u1463), _u1466)) | c_Orderings_Oord__class_Oless__eq(_u1461, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1462, _u1463), _u1464), c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1465, _u1463), _u1466)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1467) | ~c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1468, _u1469), _u1470), c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1471, _u1469), _u1472)) | c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, c_Groups_Ominus__class_Ominus(_u1467, _u1468, _u1471), _u1469), _u1470), _u1472) )).
% 12.23/12.39 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1467) | ~c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, c_Groups_Ominus__class_Ominus(_u1467, _u1468, _u1471), _u1469), _u1470), _u1472) | c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1468, _u1469), _u1470), c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1471, _u1469), _u1472)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_real__le__eq__diff ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_real__le__eq__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1475, _u1477) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1475, _u1477), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.39 cnf(fact_real__le__eq__diff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1476, _u1478), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1476, _u1478) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I24_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OMin) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I28_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1480), c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1480, c_Int_OMin) )).
% 12.23/12.39 cnf(fact_rel__simps_I28_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1481, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1481), c_Int_OMin) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I23_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I20_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OMin) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I26_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u1483)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, _u1483) )).
% 12.23/12.39 cnf(fact_rel__simps_I26_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, _u1484) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u1484)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I30_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1486), c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1486, c_Int_OMin) )).
% 12.23/12.39 cnf(fact_rel__simps_I30_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1487, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1487), c_Int_OMin) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1488, _u1489) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1488, _u1489) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__is__0__eq-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1492, _u1494) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1492, _u1494) )).
% 12.23/12.39 cnf(fact_diff__is__0__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1493, _u1495) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1493, _u1495) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1496) | ~c_Orderings_Oord__class_Oless__eq(_u1496, c_Groups_Oone__class_Oone(_u1496), c_Groups_Ozero__class_Ozero(_u1496)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1497) | c_Orderings_Oord__class_Oless__eq(_u1497, c_Groups_Ozero__class_Ozero(_u1497), c_Groups_Oone__class_Oone(_u1497)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_Suc__diff__le-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1498, _u1499) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1499), _u1498) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1499, _u1498))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u1500) | ~c_Orderings_Oord__class_Oless__eq(_u1500, c_Groups_Ozero__class_Ozero(_u1500), _u1501) | ~c_Orderings_Oord__class_Oless__eq(_u1500, c_Groups_Ozero__class_Ozero(_u1500), _u1502) | ~c_Orderings_Oord__class_Oless__eq(_u1500, _u1502, c_Groups_Oone__class_Oone(_u1500)) | c_Orderings_Oord__class_Oless__eq(_u1500, c_Groups_Otimes__class_Otimes(_u1500, _u1502, _u1501), _u1501) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u1503) | ~c_Orderings_Oord__class_Oless__eq(_u1503, c_Groups_Ozero__class_Ozero(_u1503), _u1504) | ~c_Orderings_Oord__class_Oless__eq(_u1503, c_Groups_Ozero__class_Ozero(_u1503), _u1505) | ~c_Orderings_Oord__class_Oless__eq(_u1503, _u1505, c_Groups_Oone__class_Oone(_u1503)) | c_Orderings_Oord__class_Oless__eq(_u1503, c_Groups_Otimes__class_Otimes(_u1503, _u1504, _u1505), _u1504) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__bin__simps_I4_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1506)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, _u1506))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__bin__simps_I5_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u1507)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, _u1507))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__bin__simps_I6_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u1508)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, _u1508))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1509, _u1510) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1511, c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1510, _u1509))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1511, _u1509), c_Nat_OSuc(_u1510))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1512, _u1513) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1513, _u1512)), _u1514) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1513), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1512, _u1514))) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I25_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u1516)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u1516) )).
% 12.23/12.39 cnf(fact_rel__simps_I25_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u1517) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u1517)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_rel__simps_I11_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u1519), c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1519, c_Int_OMin) )).
% 12.23/12.39 cnf(fact_rel__simps_I11_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1520, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u1520), c_Int_OMin) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__le__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1521, _u1522) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1522, _u1523), _u1524), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1521, _u1523), _u1525)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1522, _u1521), _u1523), _u1524), _u1525) )).
% 12.23/12.39 cnf(fact_nat__le__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1521, _u1522) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1522, _u1521), _u1523), _u1524), _u1525) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1522, _u1523), _u1524), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1521, _u1523), _u1525)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1526, _u1527) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1527, _u1528), _u1529), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1526, _u1528), _u1530)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1527, _u1526), _u1528), _u1529), _u1530)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1531, _u1532) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1532, _u1533), _u1534) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1531, _u1533), _u1535)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1532, _u1531), _u1533), _u1534) = _u1535) )).
% 12.23/12.39 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1531, _u1532) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1532, _u1531), _u1533), _u1534) != _u1535) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1532, _u1533), _u1534) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1531, _u1533), _u1535)) )).
% 12.23/12.39
% 12.23/12.39 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 12.23/12.39 cnf(fact_nat__le__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1536, _u1537) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1536, _u1538), _u1539), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1537, _u1538), _u1540)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1539, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1537, _u1536), _u1538), _u1540)) )).
% 12.23/12.40 cnf(fact_nat__le__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1536, _u1537) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1539, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1537, _u1536), _u1538), _u1540)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1536, _u1538), _u1539), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1537, _u1538), _u1540)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1541, _u1542) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1541, _u1543), _u1544), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1542, _u1543), _u1545)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1544, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1542, _u1541), _u1543), _u1545))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1546, _u1547) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1546, _u1548), _u1549) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1547, _u1548), _u1550)) | ( _u1549 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1546), _u1548), _u1550)) )).
% 12.23/12.40 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1546, _u1547) | ( _u1549 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1546), _u1548), _u1550)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1546, _u1548), _u1549) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1547, _u1548), _u1550)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__less__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1551, _u1552) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1552, _u1553), _u1554), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1551, _u1553), _u1555)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1552, _u1551), _u1553), _u1554), _u1555) )).
% 12.23/12.40 cnf(fact_nat__less__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1551, _u1552) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1552, _u1551), _u1553), _u1554), _u1555) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1552, _u1553), _u1554), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1551, _u1553), _u1555)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__less__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1556, _u1557) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1556, _u1558), _u1559), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1557, _u1558), _u1560)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1559, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1557, _u1556), _u1558), _u1560)) )).
% 12.23/12.40 cnf(fact_nat__less__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1556, _u1557) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1559, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1557, _u1556), _u1558), _u1560)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1556, _u1558), _u1559), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1557, _u1558), _u1560)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1563), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1565)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1563, _u1565) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1563, c_Int_OPls) )).
% 12.23/12.40 cnf(fact_le__nat__number__of-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1564), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1566)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1564, _u1566) )).
% 12.23/12.40 cnf(fact_le__nat__number__of-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1564), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1566)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1564, c_Int_OPls) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_int__one__le__iff__zero__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1568) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1568) )).
% 12.23/12.40 cnf(fact_int__one__le__iff__zero__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1569) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1569) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1570, _u1571) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1570 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1570 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1575, _u1577) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1575 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1577 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1575, _u1577) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1575 != c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) | ( _u1577 != c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1578, _u1579) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1578, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1579) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add1__zle__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1582, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1584) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1582, _u1584) )).
% 12.23/12.40 cnf(fact_add1__zle__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1583, _u1585) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1583, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1585) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zle__add1__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1588, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1590, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1588, _u1590) )).
% 12.23/12.40 cnf(fact_zle__add1__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1589, _u1591) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1589, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1591, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u1592) | ( c_Groups_Ominus__class_Ominus(_u1592, _u1593, _u1594) != c_Groups_Ozero__class_Ozero(_u1592)) | ( _u1593 = _u1594) )).
% 12.23/12.40 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u1592) | ( _u1593 != _u1594) | ( c_Groups_Ominus__class_Ominus(_u1592, _u1593, _u1594) = c_Groups_Ozero__class_Ozero(_u1592)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u1595) | ( _u1596 != _u1597) | ( c_Groups_Ominus__class_Ominus(_u1595, _u1596, _u1597) = c_Groups_Ozero__class_Ozero(_u1595)) )).
% 12.23/12.40 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u1595) | ( c_Groups_Ominus__class_Ominus(_u1595, _u1596, _u1597) != c_Groups_Ozero__class_Ozero(_u1595)) | ( _u1596 = _u1597) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u1598) | ( c_Groups_Ominus__class_Ominus(_u1598, _u1599, _u1599) = c_Groups_Ozero__class_Ozero(_u1598)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u1600) | ( c_Groups_Ominus__class_Ominus(_u1600, _u1601, c_Groups_Ozero__class_Ozero(_u1600)) = _u1601) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1602) | ( c_Groups_Ominus__class_Ominus(_u1602, _u1603, _u1604) != c_Groups_Ominus__class_Ominus(_u1602, _u1605, _u1606)) | ~c_Orderings_Oord__class_Oless(_u1602, _u1603, _u1604) | c_Orderings_Oord__class_Oless(_u1602, _u1605, _u1606) )).
% 12.23/12.40 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1602) | ( c_Groups_Ominus__class_Ominus(_u1602, _u1603, _u1604) != c_Groups_Ominus__class_Ominus(_u1602, _u1605, _u1606)) | ~c_Orderings_Oord__class_Oless(_u1602, _u1605, _u1606) | c_Orderings_Oord__class_Oless(_u1602, _u1603, _u1604) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult_Odiff__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult_Odiff__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1607) | ( c_Groups_Otimes__class_Otimes(_u1607, _u1608, c_Groups_Ominus__class_Ominus(_u1607, _u1609, _u1610)) = c_Groups_Ominus__class_Ominus(_u1607, c_Groups_Otimes__class_Otimes(_u1607, _u1608, _u1609), c_Groups_Otimes__class_Otimes(_u1607, _u1608, _u1610))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__right_Odiff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__right_Odiff-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1611) | ( c_Groups_Otimes__class_Otimes(_u1611, _u1612, c_Groups_Ominus__class_Ominus(_u1611, _u1613, _u1614)) = c_Groups_Ominus__class_Ominus(_u1611, c_Groups_Otimes__class_Otimes(_u1611, _u1612, _u1613), c_Groups_Otimes__class_Otimes(_u1611, _u1612, _u1614))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult_Odiff__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult_Odiff__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1615) | ( c_Groups_Otimes__class_Otimes(_u1615, c_Groups_Ominus__class_Ominus(_u1615, _u1616, _u1617), _u1618) = c_Groups_Ominus__class_Ominus(_u1615, c_Groups_Otimes__class_Otimes(_u1615, _u1616, _u1618), c_Groups_Otimes__class_Otimes(_u1615, _u1617, _u1618))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__left_Odiff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__left_Odiff-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1619) | ( c_Groups_Otimes__class_Otimes(_u1619, c_Groups_Ominus__class_Ominus(_u1619, _u1620, _u1621), _u1622) = c_Groups_Ominus__class_Ominus(_u1619, c_Groups_Otimes__class_Otimes(_u1619, _u1620, _u1622), c_Groups_Otimes__class_Otimes(_u1619, _u1621, _u1622))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1623) | ( c_Groups_Ominus__class_Ominus(_u1623, c_Groups_Oplus__class_Oplus(_u1623, _u1624, _u1625), _u1625) = _u1624) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1626) | ( c_Groups_Oplus__class_Oplus(_u1626, c_Groups_Ominus__class_Ominus(_u1626, _u1627, _u1628), _u1628) = _u1627) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_realpow__Suc__le__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_realpow__Suc__le__self-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1629) | ~c_Orderings_Oord__class_Oless__eq(_u1629, c_Groups_Ozero__class_Ozero(_u1629), _u1630) | ~c_Orderings_Oord__class_Oless__eq(_u1629, _u1630, c_Groups_Oone__class_Oone(_u1629)) | c_Orderings_Oord__class_Oless__eq(_u1629, c_Power_Opower__class_Opower(_u1629, _u1630, c_Nat_OSuc(_u1631)), _u1630) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1632) | ~c_Rings_Odvd__class_Odvd(_u1632, _u1633, _u1634) | ~c_Rings_Odvd__class_Odvd(_u1632, _u1633, _u1635) | c_Rings_Odvd__class_Odvd(_u1632, _u1633, c_Groups_Ominus__class_Ominus(_u1632, _u1634, _u1635)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1636) | ( c_Groups_Ozero__class_Ozero(_u1636) != c_Groups_Oone__class_Oone(_u1636)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u1637) | ( c_Groups_Oone__class_Oone(_u1637) != c_Groups_Ozero__class_Ozero(_u1637)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1638, c_Int_OPls) = _u1638) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit0(_u1639), c_Int_OBit0(_u1640)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1639, _u1640))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diffs0__imp__equal-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1641, _u1642) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1642, _u1641) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1641 = _u1642) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__self__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1643, _u1643) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1644, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1644) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__0__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1645) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1646) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1647) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1647, _u1646), _u1647) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__less__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1650, _u1652)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1652, _u1650) )).
% 12.23/12.40 cnf(fact_zero__less__diff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1653, _u1651) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1651, _u1653)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u1655)) | ( c_Int_OMin = _u1655) )).
% 12.23/12.40 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u1656) | ( c_Int_OMin = c_Int_OBit1(_u1656)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u1658) != c_Int_OMin) | ( _u1658 = c_Int_OMin) )).
% 12.23/12.40 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u1659 != c_Int_OMin) | ( c_Int_OBit1(_u1659) = c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1660) | ( c_Groups_Otimes__class_Otimes(_u1660, c_Groups_Oone__class_Oone(_u1660), _u1661) = _u1661) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1662) | ( c_Groups_Otimes__class_Otimes(_u1662, _u1663, c_Groups_Oone__class_Oone(_u1662)) = _u1663) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1664) | ( c_Groups_Otimes__class_Otimes(_u1664, c_Groups_Oone__class_Oone(_u1664), _u1665) = _u1665) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1666) | ( c_Groups_Otimes__class_Otimes(_u1666, c_Groups_Oone__class_Oone(_u1666), _u1667) = _u1667) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1668) | ( c_Groups_Otimes__class_Otimes(_u1668, _u1669, c_Groups_Oone__class_Oone(_u1668)) = _u1669) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1670) | ( c_Groups_Otimes__class_Otimes(_u1670, _u1671, c_Groups_Oone__class_Oone(_u1670)) = _u1671) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u1672)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u1673) != c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1674) | ~c_Orderings_Oord__class_Oless__eq(_u1674, c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1676), c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1677)) | c_Orderings_Oord__class_Oless__eq(_u1674, _u1676, _u1677) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1678) | ~c_Orderings_Oord__class_Oless__eq(_u1678, c_Groups_Oplus__class_Oplus(_u1678, _u1679, _u1680), c_Groups_Oplus__class_Oplus(_u1678, _u1681, _u1680)) | c_Orderings_Oord__class_Oless__eq(_u1678, _u1679, _u1681) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1682) | ~c_Orderings_Oord__class_Oless__eq(_u1682, _u1683, _u1684) | ~c_Orderings_Oord__class_Oless__eq(_u1682, _u1685, _u1686) | c_Orderings_Oord__class_Oless__eq(_u1682, c_Groups_Oplus__class_Oplus(_u1682, _u1683, _u1685), c_Groups_Oplus__class_Oplus(_u1682, _u1684, _u1686)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1687) | ~c_Orderings_Oord__class_Oless__eq(_u1687, _u1688, _u1689) | c_Orderings_Oord__class_Oless__eq(_u1687, c_Groups_Oplus__class_Oplus(_u1687, _u1690, _u1688), c_Groups_Oplus__class_Oplus(_u1687, _u1690, _u1689)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1691) | ~c_Orderings_Oord__class_Oless__eq(_u1691, _u1692, _u1693) | c_Orderings_Oord__class_Oless__eq(_u1691, c_Groups_Oplus__class_Oplus(_u1691, _u1692, _u1694), c_Groups_Oplus__class_Oplus(_u1691, _u1693, _u1694)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1695) | ~c_Orderings_Oord__class_Oless__eq(_u1695, c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1697), c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1698)) | c_Orderings_Oord__class_Oless__eq(_u1695, _u1697, _u1698) )).
% 12.23/12.40 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1695) | ~c_Orderings_Oord__class_Oless__eq(_u1695, _u1697, _u1698) | c_Orderings_Oord__class_Oless__eq(_u1695, c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1697), c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1698)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1699) | ~c_Orderings_Oord__class_Oless__eq(_u1699, c_Groups_Oplus__class_Oplus(_u1699, _u1700, _u1701), c_Groups_Oplus__class_Oplus(_u1699, _u1702, _u1701)) | c_Orderings_Oord__class_Oless__eq(_u1699, _u1700, _u1702) )).
% 12.23/12.40 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1699) | ~c_Orderings_Oord__class_Oless__eq(_u1699, _u1700, _u1702) | c_Orderings_Oord__class_Oless__eq(_u1699, c_Groups_Oplus__class_Oplus(_u1699, _u1700, _u1701), c_Groups_Oplus__class_Oplus(_u1699, _u1702, _u1701)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__Suc__Suc-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1703), c_Nat_OSuc(_u1704)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1703, _u1704)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__diff__diff-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1705), _u1706), c_Nat_OSuc(_u1707)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1705, _u1706), _u1707)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__less__Suc-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1708, _u1709), c_Nat_OSuc(_u1708)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__diff__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__diff__nat-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1710, _u1711) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1710, _u1712) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1710, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1711, _u1712)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__add__inverse2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1713, _u1714), _u1714) = _u1713) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__add__inverse-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1715, _u1716), _u1715) = _u1716) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__diff__left-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1717, _u1718), _u1719) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1717, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1718, _u1719))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__cancel-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1720, _u1721), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1720, _u1722)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1721, _u1722)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__cancel2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1723, _u1724), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1725, _u1724)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1723, _u1725)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1729, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1731, _u1733)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1729, _u1733), _u1731) )).
% 12.23/12.40 cnf(fact_less__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1730, _u1734), _u1732) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1730, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1732, _u1734)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__diff__inverse-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1735, _u1736) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1736, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1735, _u1736)) = _u1735) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I7_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiff__zmult__distrib-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1737, _u1738), _u1739) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1737, _u1739), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1738, _u1739))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1740, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1741, _u1742)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1740, _u1741), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1740, _u1742))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1743) | c_Rings_Odvd__class_Odvd(_u1743, c_Groups_Oone__class_Oone(_u1743), _u1744) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u1745) | ( c_Power_Opower__class_Opower(_u1745, c_Groups_Oone__class_Oone(_u1745), _u1746) = c_Groups_Oone__class_Oone(_u1745)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__mult__distrib2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1747, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1748, _u1749)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1747, _u1748), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1747, _u1749))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__mult__distrib-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1750, _u1751), _u1752) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1750, _u1752), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1751, _u1752))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__0__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1754, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1754 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_le__0__eq-2, axiom, ( ( _u1755 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1755, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__nat_Osimps_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1756) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I34_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1759), c_Int_OBit1(_u1761)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1759, _u1761) )).
% 12.23/12.40 cnf(fact_rel__simps_I34_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1760, _u1762) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1760), c_Int_OBit1(_u1762)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__int__code_I16_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1765), c_Int_OBit1(_u1767)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1765, _u1767) )).
% 12.23/12.40 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1766, _u1768) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1766), c_Int_OBit1(_u1768)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdvd__antisym__nonneg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdvd__antisym__nonneg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1769) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1770) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1769, _u1770) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1770, _u1769) | ( _u1769 = _u1770) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__n__not__le__n-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1771), _u1771) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_not__less__eq__eq-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1774, _u1776) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1776), _u1774) )).
% 12.23/12.40 cnf(fact_not__less__eq__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1777), _u1775) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1775, _u1777) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__Suc__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1780, c_Nat_OSuc(_u1782)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1780, _u1782) | ( _u1780 = c_Nat_OSuc(_u1782)) )).
% 12.23/12.40 cnf(fact_le__Suc__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1781, c_Nat_OSuc(_u1783)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1781, _u1783) )).
% 12.23/12.40 cnf(fact_le__Suc__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1781, c_Nat_OSuc(_u1783)) | ( _u1781 != c_Nat_OSuc(_u1783)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1786), c_Nat_OSuc(_u1788)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1786, _u1788) )).
% 12.23/12.40 cnf(fact_Suc__le__mono-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1787, _u1789) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1787), c_Nat_OSuc(_u1789)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__SucI-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1790, _u1791) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1790, c_Nat_OSuc(_u1791)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__SucE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1792, c_Nat_OSuc(_u1793)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1792, _u1793) | ( _u1792 = c_Nat_OSuc(_u1793)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__leD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1794), _u1795) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1794, _u1795) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__Suc__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1798, _u1800) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1798), _u1800) )).
% 12.23/12.40 cnf(fact_less__eq__Suc__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1799), _u1801) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1799, _u1801) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__Suc__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1804, c_Nat_OSuc(_u1806)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1804, _u1806) )).
% 12.23/12.40 cnf(fact_less__Suc__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1805, _u1807) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1805, c_Nat_OSuc(_u1807)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__le__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1810), _u1812) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1810, _u1812) )).
% 12.23/12.40 cnf(fact_Suc__le__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1811, _u1813) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1811), _u1813) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__imp__less__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1814, _u1815) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1814, c_Nat_OSuc(_u1815)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__leI-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1816, _u1817) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1816), _u1817) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__less__Suc__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1818, _u1819) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1819, c_Nat_OSuc(_u1818)) | ( _u1819 = _u1818) )).
% 12.23/12.40 cnf(fact_le__less__Suc__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1818, _u1819) | ( _u1819 != _u1818) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1819, c_Nat_OSuc(_u1818)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__le__lessD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1820), _u1821) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1820, _u1821) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I19_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I31_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1824), c_Int_OBit0(_u1826)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1824, _u1826) )).
% 12.23/12.40 cnf(fact_rel__simps_I31_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1825, _u1827) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1825), c_Int_OBit0(_u1827)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__int__code_I13_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1830), c_Int_OBit0(_u1832)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1830, _u1832) )).
% 12.23/12.40 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1831, _u1833) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1831), c_Int_OBit0(_u1833)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__add2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1834, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1835, _u1834)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__add1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1836, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1836, _u1837)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__iff__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1842, _u1844) | ( _u1844 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1842, skolem13(_u1844, _u1842))) )).
% 12.23/12.40 cnf(fact_le__iff__add-2, axiom, ( ( _u1845 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1843, _u1839)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1843, _u1845) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__add__left__cancel__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1851, _u1853) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1849, _u1851), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1849, _u1853)) )).
% 12.23/12.40 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1852, _u1854) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1850, _u1852), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1850, _u1854)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_trans__le__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1855, _u1856) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1855, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1856, _u1857)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_trans__le__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1858, _u1859) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1858, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1860, _u1859)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1861, _u1862) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1861, _u1863), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1862, _u1863)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1864, _u1865) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1866, _u1867) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1864, _u1866), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1865, _u1867)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__leD2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1869, _u1870) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1868, _u1869), _u1870) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__leD1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1871, _u1872), _u1873) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1871, _u1873) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__leE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1874, _u1875), _u1876) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1874, _u1876) )).
% 12.23/12.40 cnf(fact_add__leE-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1874, _u1875), _u1876) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1875, _u1876) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zless__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1879, _u1881) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1879, _u1881) )).
% 12.23/12.40 cnf(fact_zless__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1879, _u1881) | ( _u1879 != _u1881) )).
% 12.23/12.40 cnf(fact_zless__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1880, _u1882) | ( _u1880 = _u1882) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1880, _u1882) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__square-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1883, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1883, _u1883)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__cube-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1884, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1884, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1884, _u1884))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1885, _u1886) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1885, _u1887), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1886, _u1887)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1888, _u1889) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1890, _u1888), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1890, _u1889)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1891, _u1892) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1893, _u1894) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1891, _u1893), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1892, _u1894)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zadd__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1895, _u1896) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1897, _u1895), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1897, _u1896)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__number__of__int__code-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1900), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1902)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1900, _u1902) )).
% 12.23/12.40 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1901, _u1903) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1901), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1903)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__difference__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__difference__nat-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1906, _u1908)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1906, _u1908) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1906) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1908) )).
% 12.23/12.40 cnf(fact_even__difference__nat-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1906, _u1908)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1906, _u1908) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1908) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1906) )).
% 12.23/12.40 cnf(fact_even__difference__nat-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1907, _u1909)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1907, _u1909) )).
% 12.23/12.40 cnf(fact_even__difference__nat-4, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1907, _u1909)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1907) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1909) )).
% 12.23/12.40 cnf(fact_even__difference__nat-5, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1907, _u1909)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1907) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1909) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__diff__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__diff__mult-1, axiom, ( ~class_Rings_Oring(_u1910) | ( c_Groups_Ominus__class_Ominus(_u1910, c_Groups_Otimes__class_Otimes(_u1910, _u1911, _u1912), c_Groups_Otimes__class_Otimes(_u1910, _u1913, _u1914)) = c_Groups_Oplus__class_Oplus(_u1910, c_Groups_Otimes__class_Otimes(_u1910, _u1911, c_Groups_Ominus__class_Ominus(_u1910, _u1912, _u1914)), c_Groups_Otimes__class_Otimes(_u1910, c_Groups_Ominus__class_Ominus(_u1910, _u1911, _u1913), _u1914))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult__1__right-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1915, c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1915) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult__1-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1916) = _u1916) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__difference ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__difference-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1919, _u1921)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1919) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1921) )).
% 12.23/12.40 cnf(fact_even__difference-2, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1919, _u1921)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1921) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1919) )).
% 12.23/12.40 cnf(fact_even__difference-3, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1920, _u1922)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1920) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1922) )).
% 12.23/12.40 cnf(fact_even__difference-4, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1920, _u1922)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1920) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1922) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_odd__one__int ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_odd__one__int-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u1923) | ~c_Orderings_Oord__class_Oless__eq(_u1923, _u1924, _u1925) | ~c_Orderings_Oord__class_Oless__eq(_u1923, _u1926, _u1925) | ~c_Orderings_Oord__class_Oless__eq(_u1923, c_Groups_Ozero__class_Ozero(_u1923), _u1927) | ~c_Orderings_Oord__class_Oless__eq(_u1923, c_Groups_Ozero__class_Ozero(_u1923), _u1928) | ( c_Groups_Oplus__class_Oplus(_u1923, _u1927, _u1928) != c_Groups_Oone__class_Oone(_u1923)) | c_Orderings_Oord__class_Oless__eq(_u1923, c_Groups_Oplus__class_Oplus(_u1923, c_Groups_Otimes__class_Otimes(_u1923, _u1927, _u1924), c_Groups_Otimes__class_Otimes(_u1923, _u1928, _u1926)), _u1925) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u1929) | ~class_Rings_Olinordered__idom(_u1929) | ~c_Orderings_Oord__class_Oless__eq(_u1929, c_Groups_Ozero__class_Ozero(_u1929), c_Int_Onumber__class_Onumber__of(_u1929, _u1930)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1930) )).
% 12.23/12.40 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u1929) | ~class_Rings_Olinordered__idom(_u1929) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1930) | c_Orderings_Oord__class_Oless__eq(_u1929, c_Groups_Ozero__class_Ozero(_u1929), c_Int_Onumber__class_Onumber__of(_u1929, _u1930)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u1931) | ~class_Rings_Olinordered__idom(_u1931) | ~c_Orderings_Oord__class_Oless__eq(_u1931, c_Int_Onumber__class_Onumber__of(_u1931, _u1932), c_Groups_Ozero__class_Ozero(_u1931)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1932, c_Int_OPls) )).
% 12.23/12.40 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u1931) | ~class_Rings_Olinordered__idom(_u1931) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1932, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(_u1931, c_Int_Onumber__class_Onumber__of(_u1931, _u1932), c_Groups_Ozero__class_Ozero(_u1931)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u1933) | ~c_Int_Oiszero(_u1933, c_Groups_Oone__class_Oone(_u1933)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__one__even__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__one__even__power-1, axiom, ( ~class_Int_Onumber__ring(_u1934) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1935) | ( c_Power_Opower__class_Opower(_u1934, c_Int_Onumber__class_Onumber__of(_u1934, c_Int_OMin), _u1935) = c_Groups_Oone__class_Oone(_u1934)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__one__even__odd__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__one__even__odd__power-1, axiom, ( ~class_Int_Onumber__ring(_u1936) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1937) | ( c_Power_Opower__class_Opower(_u1936, c_Int_Onumber__class_Onumber__of(_u1936, c_Int_OMin), _u1937) = c_Groups_Oone__class_Oone(_u1936)) )).
% 12.23/12.40 cnf(fact_neg__one__even__odd__power-2, axiom, ( ~class_Int_Onumber__ring(_u1936) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1937) | ( c_Power_Opower__class_Opower(_u1936, c_Int_Onumber__class_Onumber__of(_u1936, c_Int_OMin), _u1937) = c_Int_Onumber__class_Onumber__of(_u1936, c_Int_OMin)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__imp__0__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1938) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1938)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u1939) | ~c_Orderings_Oord__class_Oless(_u1939, _u1940, _u1941) | ~c_Orderings_Oord__class_Oless(_u1939, _u1942, _u1941) | ~c_Orderings_Oord__class_Oless__eq(_u1939, c_Groups_Ozero__class_Ozero(_u1939), _u1943) | ~c_Orderings_Oord__class_Oless__eq(_u1939, c_Groups_Ozero__class_Ozero(_u1939), _u1944) | ( c_Groups_Oplus__class_Oplus(_u1939, _u1943, _u1944) != c_Groups_Oone__class_Oone(_u1939)) | c_Orderings_Oord__class_Oless(_u1939, c_Groups_Oplus__class_Oplus(_u1939, c_Groups_Otimes__class_Otimes(_u1939, _u1943, _u1940), c_Groups_Otimes__class_Otimes(_u1939, _u1944, _u1942)), _u1941) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1945) | ~c_Orderings_Oord__class_Oless(_u1945, _u1946, _u1947) | c_Orderings_Oord__class_Oless(_u1945, c_Groups_Ominus__class_Ominus(_u1945, _u1946, _u1947), c_Groups_Ozero__class_Ozero(_u1945)) )).
% 12.23/12.40 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1945) | ~c_Orderings_Oord__class_Oless(_u1945, c_Groups_Ominus__class_Ominus(_u1945, _u1946, _u1947), c_Groups_Ozero__class_Ozero(_u1945)) | c_Orderings_Oord__class_Oless(_u1945, _u1946, _u1947) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u1948) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1949, _u1950), _u1951) != c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1952, _u1950), _u1953)) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, c_Groups_Ominus__class_Ominus(_u1948, _u1949, _u1952), _u1950), _u1951) = _u1953) )).
% 12.23/12.40 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u1948) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, c_Groups_Ominus__class_Ominus(_u1948, _u1949, _u1952), _u1950), _u1951) != _u1953) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1949, _u1950), _u1951) = c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1952, _u1950), _u1953)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u1954) | ( c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1955, _u1956), _u1957) != c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1958, _u1956), _u1959)) | ( _u1957 = c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, c_Groups_Ominus__class_Ominus(_u1954, _u1958, _u1955), _u1956), _u1959)) )).
% 12.23/12.40 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u1954) | ( _u1957 != c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, c_Groups_Ominus__class_Ominus(_u1954, _u1958, _u1955), _u1956), _u1959)) | ( c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1955, _u1956), _u1957) = c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1958, _u1956), _u1959)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult_Oprod__diff__prod ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult_Oprod__diff__prod-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1960) | ( c_Groups_Ominus__class_Ominus(_u1960, c_Groups_Otimes__class_Otimes(_u1960, _u1961, _u1962), c_Groups_Otimes__class_Otimes(_u1960, _u1963, _u1964)) = c_Groups_Oplus__class_Oplus(_u1960, c_Groups_Oplus__class_Oplus(_u1960, c_Groups_Otimes__class_Otimes(_u1960, c_Groups_Ominus__class_Ominus(_u1960, _u1961, _u1963), c_Groups_Ominus__class_Ominus(_u1960, _u1962, _u1964)), c_Groups_Otimes__class_Otimes(_u1960, c_Groups_Ominus__class_Ominus(_u1960, _u1961, _u1963), _u1964)), c_Groups_Otimes__class_Otimes(_u1960, _u1963, c_Groups_Ominus__class_Ominus(_u1960, _u1962, _u1964)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u1965) | ~class_Rings_Oring(_u1965) | ( c_Groups_Otimes__class_Otimes(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), c_Groups_Ominus__class_Ominus(_u1965, _u1967, _u1968)) = c_Groups_Ominus__class_Ominus(_u1965, c_Groups_Otimes__class_Otimes(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), _u1967), c_Groups_Otimes__class_Otimes(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), _u1968))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u1969) | ~class_Rings_Oring(_u1969) | ( c_Groups_Otimes__class_Otimes(_u1969, c_Groups_Ominus__class_Ominus(_u1969, _u1970, _u1971), c_Int_Onumber__class_Onumber__of(_u1969, _u1972)) = c_Groups_Ominus__class_Ominus(_u1969, c_Groups_Otimes__class_Otimes(_u1969, _u1970, c_Int_Onumber__class_Onumber__of(_u1969, _u1972)), c_Groups_Otimes__class_Otimes(_u1969, _u1971, c_Int_Onumber__class_Onumber__of(_u1969, _u1972)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1973) | c_Orderings_Oord__class_Oless(_u1973, c_Groups_Ozero__class_Ozero(_u1973), c_Groups_Oone__class_Oone(_u1973)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1974) | ~c_Orderings_Oord__class_Oless(_u1974, c_Groups_Oone__class_Oone(_u1974), c_Groups_Ozero__class_Ozero(_u1974)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1975) | c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Otimes__class_Otimes(_u1975, _u1976, _u1977), c_Groups_Ozero__class_Ozero(_u1975)) | ~c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Ozero__class_Ozero(_u1975), _u1976) | ~c_Orderings_Oord__class_Oless__eq(_u1975, _u1977, c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.23/12.40 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1975) | c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Otimes__class_Otimes(_u1975, _u1976, _u1977), c_Groups_Ozero__class_Ozero(_u1975)) | ~c_Orderings_Oord__class_Oless__eq(_u1975, _u1976, c_Groups_Ozero__class_Ozero(_u1975)) | ~c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Ozero__class_Ozero(_u1975), _u1977) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u1978) | c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), c_Groups_Otimes__class_Otimes(_u1978, _u1979, _u1980)) | ~c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), _u1979) | ~c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), _u1980) )).
% 12.23/12.40 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u1978) | c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), c_Groups_Otimes__class_Otimes(_u1978, _u1979, _u1980)) | ~c_Orderings_Oord__class_Oless__eq(_u1978, _u1979, c_Groups_Ozero__class_Ozero(_u1978)) | ~c_Orderings_Oord__class_Oless__eq(_u1978, _u1980, c_Groups_Ozero__class_Ozero(_u1978)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u1981) | ~c_Orderings_Oord__class_Oless__eq(_u1981, _u1982, _u1983) | ~c_Orderings_Oord__class_Oless__eq(_u1981, _u1984, _u1985) | ~c_Orderings_Oord__class_Oless__eq(_u1981, c_Groups_Ozero__class_Ozero(_u1981), _u1983) | ~c_Orderings_Oord__class_Oless__eq(_u1981, c_Groups_Ozero__class_Ozero(_u1981), _u1984) | c_Orderings_Oord__class_Oless__eq(_u1981, c_Groups_Otimes__class_Otimes(_u1981, _u1982, _u1984), c_Groups_Otimes__class_Otimes(_u1981, _u1983, _u1985)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u1986) | ~c_Orderings_Oord__class_Oless__eq(_u1986, _u1987, _u1988) | ~c_Orderings_Oord__class_Oless__eq(_u1986, _u1989, _u1990) | ~c_Orderings_Oord__class_Oless__eq(_u1986, c_Groups_Ozero__class_Ozero(_u1986), _u1987) | ~c_Orderings_Oord__class_Oless__eq(_u1986, c_Groups_Ozero__class_Ozero(_u1986), _u1989) | c_Orderings_Oord__class_Oless__eq(_u1986, c_Groups_Otimes__class_Otimes(_u1986, _u1987, _u1989), c_Groups_Otimes__class_Otimes(_u1986, _u1988, _u1990)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u1991) | ~c_Orderings_Oord__class_Oless__eq(_u1991, _u1992, _u1993) | ~c_Orderings_Oord__class_Oless__eq(_u1991, _u1994, c_Groups_Ozero__class_Ozero(_u1991)) | c_Orderings_Oord__class_Oless__eq(_u1991, c_Groups_Otimes__class_Otimes(_u1991, _u1994, _u1993), c_Groups_Otimes__class_Otimes(_u1991, _u1994, _u1992)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u1995) | ~c_Orderings_Oord__class_Oless__eq(_u1995, _u1996, _u1997) | ~c_Orderings_Oord__class_Oless__eq(_u1995, _u1998, c_Groups_Ozero__class_Ozero(_u1995)) | c_Orderings_Oord__class_Oless__eq(_u1995, c_Groups_Otimes__class_Otimes(_u1995, _u1997, _u1998), c_Groups_Otimes__class_Otimes(_u1995, _u1996, _u1998)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u1999) | ~c_Orderings_Oord__class_Oless__eq(_u1999, _u2000, _u2001) | ~c_Orderings_Oord__class_Oless__eq(_u1999, c_Groups_Ozero__class_Ozero(_u1999), _u2002) | c_Orderings_Oord__class_Oless__eq(_u1999, c_Groups_Otimes__class_Otimes(_u1999, _u2002, _u2000), c_Groups_Otimes__class_Otimes(_u1999, _u2002, _u2001)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2003) | ~c_Orderings_Oord__class_Oless__eq(_u2003, _u2004, _u2005) | ~c_Orderings_Oord__class_Oless__eq(_u2003, c_Groups_Ozero__class_Ozero(_u2003), _u2006) | c_Orderings_Oord__class_Oless__eq(_u2003, c_Groups_Otimes__class_Otimes(_u2003, _u2006, _u2004), c_Groups_Otimes__class_Otimes(_u2003, _u2006, _u2005)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u2007) | ~c_Orderings_Oord__class_Oless__eq(_u2007, _u2008, _u2009) | ~c_Orderings_Oord__class_Oless__eq(_u2007, c_Groups_Ozero__class_Ozero(_u2007), _u2010) | c_Orderings_Oord__class_Oless__eq(_u2007, c_Groups_Otimes__class_Otimes(_u2007, _u2008, _u2010), c_Groups_Otimes__class_Otimes(_u2007, _u2009, _u2010)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u2011) | ~c_Orderings_Oord__class_Oless__eq(_u2011, _u2012, c_Groups_Ozero__class_Ozero(_u2011)) | ~c_Orderings_Oord__class_Oless__eq(_u2011, _u2013, c_Groups_Ozero__class_Ozero(_u2011)) | c_Orderings_Oord__class_Oless__eq(_u2011, c_Groups_Ozero__class_Ozero(_u2011), c_Groups_Otimes__class_Otimes(_u2011, _u2012, _u2013)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2014) | ~c_Orderings_Oord__class_Oless__eq(_u2014, _u2015, c_Groups_Ozero__class_Ozero(_u2014)) | ~c_Orderings_Oord__class_Oless__eq(_u2014, c_Groups_Ozero__class_Ozero(_u2014), _u2016) | c_Orderings_Oord__class_Oless__eq(_u2014, c_Groups_Otimes__class_Otimes(_u2014, _u2015, _u2016), c_Groups_Ozero__class_Ozero(_u2014)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2017) | ~c_Orderings_Oord__class_Oless__eq(_u2017, c_Groups_Ozero__class_Ozero(_u2017), _u2018) | ~c_Orderings_Oord__class_Oless__eq(_u2017, _u2019, c_Groups_Ozero__class_Ozero(_u2017)) | c_Orderings_Oord__class_Oless__eq(_u2017, c_Groups_Otimes__class_Otimes(_u2017, _u2019, _u2018), c_Groups_Ozero__class_Ozero(_u2017)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2020) | ~c_Orderings_Oord__class_Oless__eq(_u2020, c_Groups_Ozero__class_Ozero(_u2020), _u2021) | ~c_Orderings_Oord__class_Oless__eq(_u2020, _u2022, c_Groups_Ozero__class_Ozero(_u2020)) | c_Orderings_Oord__class_Oless__eq(_u2020, c_Groups_Otimes__class_Otimes(_u2020, _u2021, _u2022), c_Groups_Ozero__class_Ozero(_u2020)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u2023) | ~c_Orderings_Oord__class_Oless__eq(_u2023, c_Groups_Ozero__class_Ozero(_u2023), _u2024) | ~c_Orderings_Oord__class_Oless__eq(_u2023, c_Groups_Ozero__class_Ozero(_u2023), _u2025) | c_Orderings_Oord__class_Oless__eq(_u2023, c_Groups_Ozero__class_Ozero(_u2023), c_Groups_Otimes__class_Otimes(_u2023, _u2024, _u2025)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2027) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2027, c_Groups_Ozero__class_Ozero(_u2026)) )).
% 12.23/12.40 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2027) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2028) )).
% 12.23/12.40 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2028, c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2027, c_Groups_Ozero__class_Ozero(_u2026)) )).
% 12.23/12.40 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2028, c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2028) )).
% 12.23/12.40 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2026) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2027) | ~c_Orderings_Oord__class_Oless__eq(_u2026, _u2028, c_Groups_Ozero__class_Ozero(_u2026)) )).
% 12.23/12.40 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2026) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | ~c_Orderings_Oord__class_Oless__eq(_u2026, _u2027, c_Groups_Ozero__class_Ozero(_u2026)) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2028) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2030) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2030, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.40 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2030) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2031, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.40 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2031) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2030, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.40 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2031) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2031, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.40 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2029) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2030) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2031) )).
% 12.23/12.40 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2029) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | ~c_Orderings_Oord__class_Oless__eq(_u2029, _u2030, c_Groups_Ozero__class_Ozero(_u2029)) | ~c_Orderings_Oord__class_Oless__eq(_u2029, _u2031, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u2032) | c_Orderings_Oord__class_Oless__eq(_u2032, c_Groups_Ozero__class_Ozero(_u2032), c_Groups_Otimes__class_Otimes(_u2032, _u2033, _u2033)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), c_Groups_Oplus__class_Oplus(_u2034, _u2035, _u2035)) | c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), _u2035) )).
% 12.23/12.40 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), _u2035) | c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), c_Groups_Oplus__class_Oplus(_u2034, _u2035, _u2035)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2036) | ~c_Orderings_Oord__class_Oless__eq(_u2036, c_Groups_Oplus__class_Oplus(_u2036, _u2037, _u2037), c_Groups_Ozero__class_Ozero(_u2036)) | c_Orderings_Oord__class_Oless__eq(_u2036, _u2037, c_Groups_Ozero__class_Ozero(_u2036)) )).
% 12.23/12.40 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u2036) | ~c_Orderings_Oord__class_Oless__eq(_u2036, _u2037, c_Groups_Ozero__class_Ozero(_u2036)) | c_Orderings_Oord__class_Oless__eq(_u2036, c_Groups_Oplus__class_Oplus(_u2036, _u2037, _u2037), c_Groups_Ozero__class_Ozero(_u2036)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2038) | ~c_Orderings_Oord__class_Oless__eq(_u2038, c_Groups_Ozero__class_Ozero(_u2038), _u2039) | ~c_Orderings_Oord__class_Oless__eq(_u2038, c_Groups_Ozero__class_Ozero(_u2038), _u2040) | c_Orderings_Oord__class_Oless__eq(_u2038, c_Groups_Ozero__class_Ozero(_u2038), c_Groups_Oplus__class_Oplus(_u2038, _u2039, _u2040)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2041) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2042) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2043) | ( c_Groups_Oplus__class_Oplus(_u2041, _u2042, _u2043) != c_Groups_Ozero__class_Ozero(_u2041)) | ( _u2042 = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.40 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2041) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2042) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2043) | ( c_Groups_Oplus__class_Oplus(_u2041, _u2042, _u2043) != c_Groups_Ozero__class_Ozero(_u2041)) | ( _u2043 = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.40 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2041) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2042) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2043) | ( _u2042 != c_Groups_Ozero__class_Ozero(_u2041)) | ( _u2043 != c_Groups_Ozero__class_Ozero(_u2041)) | ( c_Groups_Oplus__class_Oplus(_u2041, _u2042, _u2043) = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2044) | ~c_Orderings_Oord__class_Oless__eq(_u2044, c_Groups_Ozero__class_Ozero(_u2044), _u2045) | ~c_Orderings_Oord__class_Oless__eq(_u2044, _u2046, _u2047) | c_Orderings_Oord__class_Oless__eq(_u2044, _u2046, c_Groups_Oplus__class_Oplus(_u2044, _u2045, _u2047)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2048) | ~c_Orderings_Oord__class_Oless__eq(_u2048, c_Groups_Ozero__class_Ozero(_u2048), _u2049) | ~c_Orderings_Oord__class_Oless__eq(_u2048, _u2050, _u2051) | c_Orderings_Oord__class_Oless__eq(_u2048, _u2050, c_Groups_Oplus__class_Oplus(_u2048, _u2051, _u2049)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2052) | ~c_Orderings_Oord__class_Oless__eq(_u2052, _u2053, c_Groups_Ozero__class_Ozero(_u2052)) | ~c_Orderings_Oord__class_Oless__eq(_u2052, _u2054, c_Groups_Ozero__class_Ozero(_u2052)) | c_Orderings_Oord__class_Oless__eq(_u2052, c_Groups_Oplus__class_Oplus(_u2052, _u2053, _u2054), c_Groups_Ozero__class_Ozero(_u2052)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit1(_u2055), c_Int_OBit0(_u2056)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2055, _u2056))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit1(_u2057), c_Int_OBit1(_u2058)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2057, _u2058))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__bin__simps_I3_J-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2059)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, _u2059))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2060) | ~c_Orderings_Oord__class_Oless__eq(_u2060, _u2061, _u2062) | ~c_Orderings_Oord__class_Oless(_u2060, _u2063, _u2064) | c_Orderings_Oord__class_Oless(_u2060, c_Groups_Oplus__class_Oplus(_u2060, _u2061, _u2063), c_Groups_Oplus__class_Oplus(_u2060, _u2062, _u2064)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2065) | ~c_Orderings_Oord__class_Oless(_u2065, _u2066, _u2067) | ~c_Orderings_Oord__class_Oless__eq(_u2065, _u2068, _u2069) | c_Orderings_Oord__class_Oless(_u2065, c_Groups_Oplus__class_Oplus(_u2065, _u2066, _u2068), c_Groups_Oplus__class_Oplus(_u2065, _u2067, _u2069)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2070) | ~c_Orderings_Oord__class_Oless(_u2070, c_Groups_Oone__class_Oone(_u2070), _u2071) | ~c_Orderings_Oord__class_Oless(_u2070, c_Groups_Oone__class_Oone(_u2070), _u2072) | c_Orderings_Oord__class_Oless(_u2070, c_Groups_Oone__class_Oone(_u2070), c_Groups_Otimes__class_Otimes(_u2070, _u2071, _u2072)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u2073) | ~class_Orderings_Olinorder(_u2073) | ~c_Orderings_Oord__class_Oless__eq(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2074), c_Int_Onumber__class_Onumber__of(_u2073, _u2075)) | ~c_Orderings_Oord__class_Oless(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2075), c_Int_Onumber__class_Onumber__of(_u2073, _u2074)) )).
% 12.23/12.40 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u2073) | ~class_Orderings_Olinorder(_u2073) | c_Orderings_Oord__class_Oless(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2075), c_Int_Onumber__class_Onumber__of(_u2073, _u2074)) | c_Orderings_Oord__class_Oless__eq(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2074), c_Int_Onumber__class_Onumber__of(_u2073, _u2075)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2076) | c_Orderings_Oord__class_Oless(_u2076, _u2077, c_Groups_Oplus__class_Oplus(_u2076, _u2077, c_Groups_Oone__class_Oone(_u2076))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__pred-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2078) | ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2078, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u2078) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__Suc__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2079) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2079, c_Nat_OSuc(_u2080)), _u2079) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2081) | ( c_Groups_Oplus__class_Oplus(_u2081, _u2082, _u2082) = c_Groups_Otimes__class_Otimes(_u2081, c_Groups_Oplus__class_Oplus(_u2081, c_Groups_Oone__class_Oone(_u2081), c_Groups_Oone__class_Oone(_u2081)), _u2082)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2083) | ( c_Groups_Oplus__class_Oplus(_u2083, _u2084, c_Groups_Otimes__class_Otimes(_u2083, _u2085, _u2084)) = c_Groups_Otimes__class_Otimes(_u2083, c_Groups_Oplus__class_Oplus(_u2083, _u2085, c_Groups_Oone__class_Oone(_u2083)), _u2084)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2086) | ( c_Groups_Oplus__class_Oplus(_u2086, c_Groups_Otimes__class_Otimes(_u2086, _u2087, _u2088), _u2088) = c_Groups_Otimes__class_Otimes(_u2086, c_Groups_Oplus__class_Oplus(_u2086, _u2087, c_Groups_Oone__class_Oone(_u2086)), _u2088)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__bin__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2091, _u2093) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2091, _u2093), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_less__bin__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2092, _u2094), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2092, _u2094) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2095) | ~c_Orderings_Oord__class_Oless__eq(_u2095, c_Groups_Ozero__class_Ozero(_u2095), _u2096) | c_Orderings_Oord__class_Oless__eq(_u2095, c_Groups_Ozero__class_Ozero(_u2095), c_Power_Opower__class_Opower(_u2095, _u2096, _u2097)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2098) | ~c_Orderings_Oord__class_Oless__eq(_u2098, _u2099, _u2100) | ~c_Orderings_Oord__class_Oless__eq(_u2098, c_Groups_Ozero__class_Ozero(_u2098), _u2099) | c_Orderings_Oord__class_Oless__eq(_u2098, c_Power_Opower__class_Opower(_u2098, _u2099, _u2101), c_Power_Opower__class_Opower(_u2098, _u2100, _u2101)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__add__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2102, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2102, _u2103)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u2109, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2111, _u2113))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2111, _u2113) | hBOOL(hAPP(_u2109, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.40 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u2109, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2111, _u2113))) | ( _u2111 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2113, _u2104)) | hBOOL(hAPP(_u2109, _u2104)) )).
% 12.23/12.40 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2112, _u2114) | ( _u2112 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2114, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.40 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2112, _u2114) | ~hBOOL(hAPP(_u2110, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.40 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | ~hBOOL(hAPP(_u2110, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2112 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2114, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.40 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | ~hBOOL(hAPP(_u2110, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2110, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u2120, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2122, _u2124))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2122, _u2124) | hBOOL(hAPP(_u2120, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.40 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u2120, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2122, _u2124))) | ( _u2122 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2124, _u2115)) | hBOOL(hAPP(_u2120, _u2115)) )).
% 12.23/12.40 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2123, _u2125) | ( _u2123 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2125, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.40 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2123, _u2125) | ~hBOOL(hAPP(_u2121, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.40 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | ~hBOOL(hAPP(_u2121, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2123 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2125, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.40 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | ~hBOOL(hAPP(_u2121, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2121, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2126) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2127, _u2128) | ~c_Orderings_Oord__class_Oless(_u2126, c_Groups_Oone__class_Oone(_u2126), _u2129) | c_Orderings_Oord__class_Oless(_u2126, c_Power_Opower__class_Opower(_u2126, _u2129, _u2127), c_Power_Opower__class_Opower(_u2126, _u2129, _u2128)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2130) | ~c_Orderings_Oord__class_Oless(_u2130, c_Groups_Oone__class_Oone(_u2130), _u2131) | ~c_Orderings_Oord__class_Oless(_u2130, c_Power_Opower__class_Opower(_u2130, _u2131, _u2132), c_Power_Opower__class_Opower(_u2130, _u2131, _u2133)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2132, _u2133) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2134) | ~c_Orderings_Oord__class_Oless(_u2134, c_Groups_Oone__class_Oone(_u2134), _u2135) | ~c_Orderings_Oord__class_Oless(_u2134, c_Power_Opower__class_Opower(_u2134, _u2135, _u2136), c_Power_Opower__class_Opower(_u2134, _u2135, _u2137)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2136, _u2137) )).
% 12.23/12.40 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2134) | ~c_Orderings_Oord__class_Oless(_u2134, c_Groups_Oone__class_Oone(_u2134), _u2135) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2136, _u2137) | c_Orderings_Oord__class_Oless(_u2134, c_Power_Opower__class_Opower(_u2134, _u2135, _u2136), c_Power_Opower__class_Opower(_u2134, _u2135, _u2137)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2138) | ~c_Orderings_Oord__class_Oless(_u2138, c_Groups_Oone__class_Oone(_u2138), _u2139) | ( c_Power_Opower__class_Opower(_u2138, _u2139, _u2140) != c_Power_Opower__class_Opower(_u2138, _u2139, _u2141)) | ( _u2140 = _u2141) )).
% 12.23/12.40 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2138) | ~c_Orderings_Oord__class_Oless(_u2138, c_Groups_Oone__class_Oone(_u2138), _u2139) | ( _u2140 != _u2141) | ( c_Power_Opower__class_Opower(_u2138, _u2139, _u2140) = c_Power_Opower__class_Opower(_u2138, _u2139, _u2141)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I13_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2143), c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2143, c_Int_OMin) )).
% 12.23/12.40 cnf(fact_rel__simps_I13_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2144, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2144), c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I9_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u2146)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2146) )).
% 12.23/12.40 cnf(fact_rel__simps_I9_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2147) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u2147)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_bin__less__0__simps_I2_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OMin) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I6_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OPls) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I8_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u2149)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2149) )).
% 12.23/12.40 cnf(fact_rel__simps_I8_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2150) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u2150)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__number__of__Pls__Min-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) != c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2151) | ( c_Power_Opower__class_Opower(_u2151, _u2152, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2151)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u2153) | ( c_Power_Opower__class_Opower(_u2153, _u2154, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2153)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__one__le__power-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2155) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2155, _u2156)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__le__dvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__le__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2157) | ~c_Rings_Odvd__class_Odvd(_u2157, c_Power_Opower__class_Opower(_u2157, _u2158, _u2159), _u2160) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2161, _u2159) | c_Rings_Odvd__class_Odvd(_u2157, c_Power_Opower__class_Opower(_u2157, _u2158, _u2161), _u2160) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__power__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__power__le-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2162) | ~c_Rings_Odvd__class_Odvd(_u2162, _u2163, _u2164) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2165, _u2166) | c_Rings_Odvd__class_Odvd(_u2162, c_Power_Opower__class_Opower(_u2162, _u2163, _u2165), c_Power_Opower__class_Opower(_u2162, _u2164, _u2166)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__imp__power__dvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__imp__power__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2167) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2168, _u2169) | c_Rings_Odvd__class_Odvd(_u2167, c_Power_Opower__class_Opower(_u2167, _u2170, _u2168), c_Power_Opower__class_Opower(_u2167, _u2170, _u2169)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I22_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2172)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2172) )).
% 12.23/12.40 cnf(fact_rel__simps_I22_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2173) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2173)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I32_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2176), c_Int_OBit1(_u2178)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2176, _u2178) )).
% 12.23/12.40 cnf(fact_rel__simps_I32_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2177, _u2179) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2177), c_Int_OBit1(_u2179)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__int__code_I14_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2182), c_Int_OBit1(_u2184)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2182, _u2184) )).
% 12.23/12.40 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2183, _u2185) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2183), c_Int_OBit1(_u2185)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I21_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2187)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2187) )).
% 12.23/12.40 cnf(fact_rel__simps_I21_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2188) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2188)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I27_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2190), c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2190, c_Int_OPls) )).
% 12.23/12.40 cnf(fact_rel__simps_I27_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2191, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2191), c_Int_OPls) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__imp__le-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2192, _u2193) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2193) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2192, _u2193) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2194) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2195), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2196)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2195, _u2196) )).
% 12.23/12.40 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2194) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2195, _u2196) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2195), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2196)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2200, _u2202), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2204, _u2202)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2202) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2200, _u2204) )).
% 12.23/12.40 cnf(fact_mult__le__cancel2-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2201, _u2203), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2205, _u2203)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2203) )).
% 12.23/12.40 cnf(fact_mult__le__cancel2-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2201, _u2203), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2205, _u2203)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2201, _u2205) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209, _u2211), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209, _u2213)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2209) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2211, _u2213) )).
% 12.23/12.40 cnf(fact_mult__le__cancel1-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2212), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2214)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2210) )).
% 12.23/12.40 cnf(fact_mult__le__cancel1-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2212), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2214)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2212, _u2214) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdvd__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdvd__imp__le-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2215, _u2216) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2216) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2215, _u2216) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2222, _u2224) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2220), _u2222), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2220), _u2224)) )).
% 12.23/12.40 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2223, _u2225) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2221), _u2223), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2221), _u2225)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zadd__zless__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2226, _u2227) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2228, _u2229) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2226, _u2228), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2227, _u2229)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__mono__odd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__mono__odd-1, axiom, ( ~class_Rings_Olinordered__idom(_u2230) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2231) | ~c_Orderings_Oord__class_Oless__eq(_u2230, _u2232, _u2233) | c_Orderings_Oord__class_Oless__eq(_u2230, c_Power_Opower__class_Opower(_u2230, _u2232, _u2231), c_Power_Opower__class_Opower(_u2230, _u2233, _u2231)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_int__0__less__1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u2234) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2234), _u2234)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_odd__nonzero-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2235), _u2235) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zless__add1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2238, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2240, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2238, _u2240) | ( _u2238 = _u2240) )).
% 12.23/12.40 cnf(fact_zless__add1__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2239, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2241, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2239, _u2241) )).
% 12.23/12.40 cnf(fact_zless__add1__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2239, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2241, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2239 != _u2241) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u2242) | ~c_Int_Oiszero(_u2242, c_Int_Onumber__class_Onumber__of(_u2242, c_Int_OMin)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u2243) | ~c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2244, _u2245), _u2246), c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2247, _u2245), _u2248)) | c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, c_Groups_Ominus__class_Ominus(_u2243, _u2244, _u2247), _u2245), _u2246), _u2248) )).
% 12.23/12.40 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u2243) | ~c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, c_Groups_Ominus__class_Ominus(_u2243, _u2244, _u2247), _u2245), _u2246), _u2248) | c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2244, _u2245), _u2246), c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2247, _u2245), _u2248)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u2249) | ~c_Orderings_Oord__class_Oless(_u2249, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2250, _u2251), _u2252), c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2253, _u2251), _u2254)) | c_Orderings_Oord__class_Oless(_u2249, _u2252, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, c_Groups_Ominus__class_Ominus(_u2249, _u2253, _u2250), _u2251), _u2254)) )).
% 12.23/12.40 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u2249) | ~c_Orderings_Oord__class_Oless(_u2249, _u2252, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, c_Groups_Ominus__class_Ominus(_u2249, _u2253, _u2250), _u2251), _u2254)) | c_Orderings_Oord__class_Oless(_u2249, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2250, _u2251), _u2252), c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2253, _u2251), _u2254)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u2257) | ~class_Rings_Odvd(_u2257) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, _u2259) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, _u2263, _u2260)) | c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, c_Groups_Ominus__class_Ominus(_u2257, _u2263, c_Groups_Otimes__class_Otimes(_u2257, _u2261, _u2259)), _u2260)) )).
% 12.23/12.40 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u2257) | ~class_Rings_Odvd(_u2257) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, _u2259) | c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, _u2264, _u2260)) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, c_Groups_Ominus__class_Ominus(_u2257, _u2264, c_Groups_Otimes__class_Otimes(_u2257, _u2262, _u2259)), _u2260)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u2267) | ~class_Rings_Odvd(_u2267) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, _u2269) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, _u2273, _u2270)) | c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, c_Groups_Ominus__class_Ominus(_u2267, _u2273, c_Groups_Otimes__class_Otimes(_u2267, _u2271, _u2269)), _u2270)) )).
% 12.23/12.40 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u2267) | ~class_Rings_Odvd(_u2267) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, _u2269) | c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, _u2274, _u2270)) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, c_Groups_Ominus__class_Ominus(_u2267, _u2274, c_Groups_Otimes__class_Otimes(_u2267, _u2272, _u2269)), _u2270)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u2275) | ( c_Groups_Oplus__class_Oplus(_u2275, c_Int_Onumber__class_Onumber__of(_u2275, _u2276), c_Groups_Ominus__class_Ominus(_u2275, c_Int_Onumber__class_Onumber__of(_u2275, _u2277), _u2278)) = c_Groups_Ominus__class_Ominus(_u2275, c_Int_Onumber__class_Onumber__of(_u2275, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2276, _u2277)), _u2278)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Otimes__class_Otimes(_u2279, _u2280, _u2281), c_Groups_Otimes__class_Otimes(_u2279, _u2280, _u2282)) | ~c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2280) | c_Orderings_Oord__class_Oless__eq(_u2279, _u2281, _u2282) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, c_Groups_Otimes__class_Otimes(_u2283, _u2284, _u2285), c_Groups_Otimes__class_Otimes(_u2283, _u2286, _u2285)) | ~c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2285) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, _u2286) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2287) | ~c_Orderings_Oord__class_Oless(_u2287, c_Groups_Otimes__class_Otimes(_u2287, _u2288, _u2289), c_Groups_Otimes__class_Otimes(_u2287, _u2288, _u2290)) | ~c_Orderings_Oord__class_Oless__eq(_u2287, c_Groups_Ozero__class_Ozero(_u2287), _u2288) | c_Orderings_Oord__class_Oless(_u2287, _u2289, _u2290) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2291) | ~c_Orderings_Oord__class_Oless(_u2291, c_Groups_Otimes__class_Otimes(_u2291, _u2292, _u2293), c_Groups_Otimes__class_Otimes(_u2291, _u2292, _u2294)) | ~c_Orderings_Oord__class_Oless__eq(_u2291, c_Groups_Ozero__class_Ozero(_u2291), _u2292) | c_Orderings_Oord__class_Oless(_u2291, _u2293, _u2294) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2295) | ~c_Orderings_Oord__class_Oless(_u2295, c_Groups_Otimes__class_Otimes(_u2295, _u2296, _u2297), c_Groups_Otimes__class_Otimes(_u2295, _u2298, _u2297)) | ~c_Orderings_Oord__class_Oless__eq(_u2295, c_Groups_Ozero__class_Ozero(_u2295), _u2297) | c_Orderings_Oord__class_Oless(_u2295, _u2296, _u2298) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2299) | ~c_Orderings_Oord__class_Oless(_u2299, c_Groups_Otimes__class_Otimes(_u2299, _u2300, _u2301), c_Groups_Otimes__class_Otimes(_u2299, _u2302, _u2301)) | ~c_Orderings_Oord__class_Oless__eq(_u2299, c_Groups_Ozero__class_Ozero(_u2299), _u2301) | c_Orderings_Oord__class_Oless(_u2299, _u2300, _u2302) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2303) | ~c_Orderings_Oord__class_Oless__eq(_u2303, _u2304, _u2305) | ~c_Orderings_Oord__class_Oless(_u2303, _u2306, _u2307) | ~c_Orderings_Oord__class_Oless(_u2303, c_Groups_Ozero__class_Ozero(_u2303), _u2304) | ~c_Orderings_Oord__class_Oless__eq(_u2303, c_Groups_Ozero__class_Ozero(_u2303), _u2306) | c_Orderings_Oord__class_Oless(_u2303, c_Groups_Otimes__class_Otimes(_u2303, _u2304, _u2306), c_Groups_Otimes__class_Otimes(_u2303, _u2305, _u2307)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2308) | ~c_Orderings_Oord__class_Oless(_u2308, _u2309, _u2310) | ~c_Orderings_Oord__class_Oless__eq(_u2308, _u2311, _u2312) | ~c_Orderings_Oord__class_Oless__eq(_u2308, c_Groups_Ozero__class_Ozero(_u2308), _u2309) | ~c_Orderings_Oord__class_Oless(_u2308, c_Groups_Ozero__class_Ozero(_u2308), _u2311) | c_Orderings_Oord__class_Oless(_u2308, c_Groups_Otimes__class_Otimes(_u2308, _u2309, _u2311), c_Groups_Otimes__class_Otimes(_u2308, _u2310, _u2312)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2313) | ~c_Orderings_Oord__class_Oless(_u2313, _u2314, _u2315) | ~c_Orderings_Oord__class_Oless(_u2313, _u2316, _u2317) | ~c_Orderings_Oord__class_Oless__eq(_u2313, c_Groups_Ozero__class_Ozero(_u2313), _u2314) | ~c_Orderings_Oord__class_Oless__eq(_u2313, c_Groups_Ozero__class_Ozero(_u2313), _u2316) | c_Orderings_Oord__class_Oless(_u2313, c_Groups_Otimes__class_Otimes(_u2313, _u2314, _u2316), c_Groups_Otimes__class_Otimes(_u2313, _u2315, _u2317)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2318) | ~c_Orderings_Oord__class_Oless(_u2318, _u2319, _u2320) | ~c_Orderings_Oord__class_Oless(_u2318, _u2321, _u2322) | ~c_Orderings_Oord__class_Oless(_u2318, c_Groups_Ozero__class_Ozero(_u2318), _u2320) | ~c_Orderings_Oord__class_Oless__eq(_u2318, c_Groups_Ozero__class_Ozero(_u2318), _u2321) | c_Orderings_Oord__class_Oless(_u2318, c_Groups_Otimes__class_Otimes(_u2318, _u2319, _u2321), c_Groups_Otimes__class_Otimes(_u2318, _u2320, _u2322)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2323) | ~c_Orderings_Oord__class_Oless(_u2323, _u2324, c_Groups_Ozero__class_Ozero(_u2323)) | ~c_Orderings_Oord__class_Oless__eq(_u2323, c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2325), c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2326)) | c_Orderings_Oord__class_Oless__eq(_u2323, _u2326, _u2325) )).
% 12.23/12.40 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2323) | ~c_Orderings_Oord__class_Oless(_u2323, _u2324, c_Groups_Ozero__class_Ozero(_u2323)) | ~c_Orderings_Oord__class_Oless__eq(_u2323, _u2326, _u2325) | c_Orderings_Oord__class_Oless__eq(_u2323, c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2325), c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2326)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2327) | ~c_Orderings_Oord__class_Oless(_u2327, c_Groups_Ozero__class_Ozero(_u2327), _u2328) | ~c_Orderings_Oord__class_Oless__eq(_u2327, c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2329), c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2330)) | c_Orderings_Oord__class_Oless__eq(_u2327, _u2329, _u2330) )).
% 12.23/12.40 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2327) | ~c_Orderings_Oord__class_Oless(_u2327, c_Groups_Ozero__class_Ozero(_u2327), _u2328) | ~c_Orderings_Oord__class_Oless__eq(_u2327, _u2329, _u2330) | c_Orderings_Oord__class_Oless__eq(_u2327, c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2329), c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2330)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2331) | ~c_Orderings_Oord__class_Oless(_u2331, c_Groups_Ozero__class_Ozero(_u2331), _u2332) | ~c_Orderings_Oord__class_Oless__eq(_u2331, c_Groups_Ozero__class_Ozero(_u2331), _u2333) | c_Orderings_Oord__class_Oless(_u2331, c_Groups_Ozero__class_Ozero(_u2331), c_Groups_Oplus__class_Oplus(_u2331, _u2332, _u2333)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2334) | ~c_Orderings_Oord__class_Oless__eq(_u2334, c_Groups_Ozero__class_Ozero(_u2334), _u2335) | ~c_Orderings_Oord__class_Oless(_u2334, c_Groups_Ozero__class_Ozero(_u2334), _u2336) | c_Orderings_Oord__class_Oless(_u2334, c_Groups_Ozero__class_Ozero(_u2334), c_Groups_Oplus__class_Oplus(_u2334, _u2335, _u2336)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2337) | ~c_Orderings_Oord__class_Oless(_u2337, c_Groups_Ozero__class_Ozero(_u2337), _u2338) | ~c_Orderings_Oord__class_Oless__eq(_u2337, _u2339, _u2340) | c_Orderings_Oord__class_Oless(_u2337, _u2339, c_Groups_Oplus__class_Oplus(_u2337, _u2338, _u2340)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2341) | ~c_Orderings_Oord__class_Oless__eq(_u2341, c_Groups_Ozero__class_Ozero(_u2341), _u2342) | ~c_Orderings_Oord__class_Oless(_u2341, _u2343, _u2344) | c_Orderings_Oord__class_Oless(_u2341, _u2343, c_Groups_Oplus__class_Oplus(_u2341, _u2342, _u2344)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2345) | ~c_Orderings_Oord__class_Oless(_u2345, _u2346, c_Groups_Ozero__class_Ozero(_u2345)) | ~c_Orderings_Oord__class_Oless__eq(_u2345, _u2347, c_Groups_Ozero__class_Ozero(_u2345)) | c_Orderings_Oord__class_Oless(_u2345, c_Groups_Oplus__class_Oplus(_u2345, _u2346, _u2347), c_Groups_Ozero__class_Ozero(_u2345)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2348) | ~c_Orderings_Oord__class_Oless__eq(_u2348, _u2349, c_Groups_Ozero__class_Ozero(_u2348)) | ~c_Orderings_Oord__class_Oless(_u2348, _u2350, c_Groups_Ozero__class_Ozero(_u2348)) | c_Orderings_Oord__class_Oless(_u2348, c_Groups_Oplus__class_Oplus(_u2348, _u2349, _u2350), c_Groups_Ozero__class_Ozero(_u2348)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2351) | ~c_Orderings_Oord__class_Oless__eq(_u2351, c_Groups_Oplus__class_Oplus(_u2351, c_Groups_Otimes__class_Otimes(_u2351, _u2352, _u2352), c_Groups_Otimes__class_Otimes(_u2351, _u2353, _u2353)), c_Groups_Ozero__class_Ozero(_u2351)) | ( _u2352 = c_Groups_Ozero__class_Ozero(_u2351)) )).
% 12.23/12.40 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2351) | ~c_Orderings_Oord__class_Oless__eq(_u2351, c_Groups_Oplus__class_Oplus(_u2351, c_Groups_Otimes__class_Otimes(_u2351, _u2352, _u2352), c_Groups_Otimes__class_Otimes(_u2351, _u2353, _u2353)), c_Groups_Ozero__class_Ozero(_u2351)) | ( _u2353 = c_Groups_Ozero__class_Ozero(_u2351)) )).
% 12.23/12.40 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2351) | ( _u2352 != c_Groups_Ozero__class_Ozero(_u2351)) | ( _u2353 != c_Groups_Ozero__class_Ozero(_u2351)) | c_Orderings_Oord__class_Oless__eq(_u2351, c_Groups_Oplus__class_Oplus(_u2351, c_Groups_Otimes__class_Otimes(_u2351, _u2352, _u2352), c_Groups_Otimes__class_Otimes(_u2351, _u2353, _u2353)), c_Groups_Ozero__class_Ozero(_u2351)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2354) | c_Orderings_Oord__class_Oless__eq(_u2354, c_Groups_Ozero__class_Ozero(_u2354), c_Groups_Oplus__class_Oplus(_u2354, c_Groups_Otimes__class_Otimes(_u2354, _u2355, _u2355), c_Groups_Otimes__class_Otimes(_u2354, _u2356, _u2356))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2357) | c_Orderings_Oord__class_Oless(_u2357, c_Groups_Ozero__class_Ozero(_u2357), c_Groups_Oplus__class_Oplus(_u2357, c_Groups_Oone__class_Oone(_u2357), c_Groups_Oone__class_Oone(_u2357))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_int__pos__lt__two__imp__zero__or__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_int__pos__lt__two__imp__zero__or__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2358) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2358, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) | ( _u2358 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2358 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2359) | ~c_Orderings_Oord__class_Oless(_u2359, c_Power_Opower__class_Opower(_u2359, _u2360, _u2361), c_Power_Opower__class_Opower(_u2359, _u2362, _u2361)) | ~c_Orderings_Oord__class_Oless__eq(_u2359, c_Groups_Ozero__class_Ozero(_u2359), _u2362) | c_Orderings_Oord__class_Oless(_u2359, _u2360, _u2362) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2363) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2364, _u2365) | ~c_Orderings_Oord__class_Oless(_u2363, c_Groups_Ozero__class_Ozero(_u2363), _u2366) | ~c_Orderings_Oord__class_Oless(_u2363, _u2366, c_Groups_Oone__class_Oone(_u2363)) | c_Orderings_Oord__class_Oless(_u2363, c_Power_Opower__class_Opower(_u2363, _u2366, _u2365), c_Power_Opower__class_Opower(_u2363, _u2366, _u2364)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2367) | ~c_Orderings_Oord__class_Oless(_u2367, c_Groups_Oone__class_Oone(_u2367), _u2368) | c_Orderings_Oord__class_Oless(_u2367, c_Groups_Oone__class_Oone(_u2367), c_Groups_Otimes__class_Otimes(_u2367, _u2368, c_Power_Opower__class_Opower(_u2367, _u2368, _u2369))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2370) | ~c_Orderings_Oord__class_Oless(_u2370, c_Groups_Oone__class_Oone(_u2370), _u2371) | c_Orderings_Oord__class_Oless(_u2370, c_Power_Opower__class_Opower(_u2370, _u2371, _u2372), c_Groups_Otimes__class_Otimes(_u2370, _u2371, c_Power_Opower__class_Opower(_u2370, _u2371, _u2372))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2373) | ( c_Power_Opower__class_Opower(_u2373, _u2374, _u2375) != c_Power_Opower__class_Opower(_u2373, _u2376, _u2375)) | ~c_Orderings_Oord__class_Oless__eq(_u2373, c_Groups_Ozero__class_Ozero(_u2373), _u2374) | ~c_Orderings_Oord__class_Oless__eq(_u2373, c_Groups_Ozero__class_Ozero(_u2373), _u2376) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2375) | ( _u2374 = _u2376) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u2377) | ~class_Rings_Osemiring__0(_u2377) | ( _u2378 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2377, c_Groups_Ozero__class_Ozero(_u2377), _u2378) = c_Groups_Oone__class_Oone(_u2377)) )).
% 12.23/12.40 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u2377) | ~class_Rings_Osemiring__0(_u2377) | ( _u2378 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2377, c_Groups_Ozero__class_Ozero(_u2377), _u2378) = c_Groups_Ozero__class_Ozero(_u2377)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2379) | ~c_Orderings_Oord__class_Oless__eq(_u2379, c_Power_Opower__class_Opower(_u2379, _u2380, c_Nat_OSuc(_u2381)), c_Power_Opower__class_Opower(_u2379, _u2382, c_Nat_OSuc(_u2381))) | ~c_Orderings_Oord__class_Oless__eq(_u2379, c_Groups_Ozero__class_Ozero(_u2379), _u2382) | c_Orderings_Oord__class_Oless__eq(_u2379, _u2380, _u2382) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2383) | ( c_Power_Opower__class_Opower(_u2383, _u2384, c_Nat_OSuc(_u2385)) != c_Power_Opower__class_Opower(_u2383, _u2386, c_Nat_OSuc(_u2385))) | ~c_Orderings_Oord__class_Oless__eq(_u2383, c_Groups_Ozero__class_Ozero(_u2383), _u2384) | ~c_Orderings_Oord__class_Oless__eq(_u2383, c_Groups_Ozero__class_Ozero(_u2383), _u2386) | ( _u2384 = _u2386) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2387) | ~c_Orderings_Oord__class_Oless(_u2387, c_Groups_Oone__class_Oone(_u2387), _u2388) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2389) | c_Orderings_Oord__class_Oless(_u2387, c_Groups_Oone__class_Oone(_u2387), c_Power_Opower__class_Opower(_u2387, _u2388, _u2389)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u2390) | ( c_Int_Onumber__class_Onumber__of(_u2390, c_Int_OBit1(_u2391)) = c_Groups_Oplus__class_Oplus(_u2390, c_Groups_Oplus__class_Oplus(_u2390, c_Groups_Oone__class_Oone(_u2390), c_Int_Onumber__class_Onumber__of(_u2390, _u2391)), c_Int_Onumber__class_Onumber__of(_u2390, _u2391))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2392) | ~c_Orderings_Oord__class_Oless(_u2392, c_Groups_Oone__class_Oone(_u2392), _u2393) | c_Orderings_Oord__class_Oless(_u2392, c_Groups_Oone__class_Oone(_u2392), c_Power_Opower__class_Opower(_u2392, _u2393, c_Nat_OSuc(_u2394))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u2395) | ( c_Groups_Oone__class_Oone(_u2395) = c_Int_Onumber__class_Onumber__of(_u2395, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u2396) | ( c_Int_Onumber__class_Onumber__of(_u2396, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u2396)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__one__odd__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__one__odd__power-1, axiom, ( ~class_Int_Onumber__ring(_u2397) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2398) | ( c_Power_Opower__class_Opower(_u2397, c_Int_Onumber__class_Onumber__of(_u2397, c_Int_OMin), _u2398) = c_Int_Onumber__class_Onumber__of(_u2397, c_Int_OMin)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2399) | c_Rings_Odvd__class_Odvd(_u2399, _u2401, c_Power_Opower__class_Opower(_u2399, _u2401, _u2400)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2400) )).
% 12.23/12.40 cnf(fact_dvd__power-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2399) | c_Rings_Odvd__class_Odvd(_u2399, _u2401, c_Power_Opower__class_Opower(_u2399, _u2401, _u2400)) | ( _u2401 != c_Groups_Oone__class_Oone(_u2399)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__odd__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__odd__power-1, axiom, ( ~class_Rings_Olinordered__idom(_u2402) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2403) | ~c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), c_Power_Opower__class_Opower(_u2402, _u2404, _u2403)) | c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), _u2404) )).
% 12.23/12.40 cnf(fact_zero__le__odd__power-2, axiom, ( ~class_Rings_Olinordered__idom(_u2402) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2403) | ~c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), _u2404) | c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), c_Power_Opower__class_Opower(_u2402, _u2404, _u2403)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__even__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__even__power-1, axiom, ( ~class_Groups_Omonoid__mult(_u2405) | ~class_Rings_Olinordered__ring(_u2405) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2406) | c_Orderings_Oord__class_Oless__eq(_u2405, c_Groups_Ozero__class_Ozero(_u2405), c_Power_Opower__class_Opower(_u2405, _u2407, _u2406)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__power__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__power__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2408) | ~c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), c_Power_Opower__class_Opower(_u2408, _u2409, _u2410)) | c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), _u2409) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2410) )).
% 12.23/12.40 cnf(fact_zero__le__power__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2408) | c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), c_Power_Opower__class_Opower(_u2408, _u2409, _u2410)) | ~c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), _u2409) )).
% 12.23/12.40 cnf(fact_zero__le__power__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u2408) | c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), c_Power_Opower__class_Opower(_u2408, _u2409, _u2410)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2410) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__power__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__power__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u2411) | ~c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), c_Power_Opower__class_Opower(_u2411, _u2412, _u2413)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2413) | c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), _u2412) )).
% 12.23/12.40 cnf(fact_zero__le__power__eq-2, axiom, ( ~class_Rings_Olinordered__idom(_u2411) | c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), c_Power_Opower__class_Opower(_u2411, _u2412, _u2413)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2413) )).
% 12.23/12.40 cnf(fact_zero__le__power__eq-3, axiom, ( ~class_Rings_Olinordered__idom(_u2411) | c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), c_Power_Opower__class_Opower(_u2411, _u2412, _u2413)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2413) | ~c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), _u2412) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__0__number__of-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2415)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2415, c_Int_OPls) )).
% 12.23/12.40 cnf(fact_eq__0__number__of-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2416, c_Int_OPls) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2416)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__number__of__0-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2418) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2418, c_Int_OPls) )).
% 12.23/12.40 cnf(fact_eq__number__of__0-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2419, c_Int_OPls) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2419) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__le__mult__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2422, _u2424)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2422) )).
% 12.23/12.40 cnf(fact_one__le__mult__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2422, _u2424)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2424) )).
% 12.23/12.40 cnf(fact_one__le__mult__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2423) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2425) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2423, _u2425)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I5_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2427)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2427) )).
% 12.23/12.40 cnf(fact_rel__simps_I5_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2428) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2428)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I29_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2430), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2430, c_Int_OPls) )).
% 12.23/12.40 cnf(fact_rel__simps_I29_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2431, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2431), c_Int_OPls) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I15_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2434), c_Int_OBit1(_u2436)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2434, _u2436) )).
% 12.23/12.40 cnf(fact_rel__simps_I15_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2435, _u2437) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2435), c_Int_OBit1(_u2437)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__int__code_I14_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2440), c_Int_OBit1(_u2442)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2440, _u2442) )).
% 12.23/12.40 cnf(fact_less__int__code_I14_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2441, _u2443) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2441), c_Int_OBit1(_u2443)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_rel__simps_I33_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2446), c_Int_OBit0(_u2448)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2446, _u2448) )).
% 12.23/12.40 cnf(fact_rel__simps_I33_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2447, _u2449) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2447), c_Int_OBit0(_u2449)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__eq__int__code_I15_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2452), c_Int_OBit0(_u2454)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2452, _u2454) )).
% 12.23/12.40 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2453, _u2455) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2453), c_Int_OBit0(_u2455)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_number__of2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_odd__less__0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2457), _u2457), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2457, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_odd__less__0-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2458, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2458), _u2458), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__zmult__eq__1__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2459) | ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2459, _u2460) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2459 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_pos__zmult__eq__1__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2459) | ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2459, _u2460) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2460 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_pos__zmult__eq__1__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2459) | ( _u2459 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2460 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2459, _u2460) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u2461) | ( c_Power_Opower__class_Opower(_u2461, c_Int_Onumber__class_Onumber__of(_u2461, c_Int_OMin), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2462)) = c_Groups_Oone__class_Oone(_u2461)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__right__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__right__cancel-1, axiom, ( ( _u2463 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2464, _u2463) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2465, _u2463)) | ( _u2464 = _u2465) )).
% 12.23/12.40 cnf(fact_real__mult__right__cancel-2, axiom, ( ( _u2463 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2464 != _u2465) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2464, _u2463) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2465, _u2463)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__left__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__left__cancel-1, axiom, ( ( _u2466 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2467) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2468)) | ( _u2467 = _u2468) )).
% 12.23/12.40 cnf(fact_real__mult__left__cancel-2, axiom, ( ( _u2466 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2467 != _u2468) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2467) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2468)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__commute ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__commute-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2469, _u2470) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2470, _u2469)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__assoc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__assoc-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2471, _u2472), _u2473) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2471, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2472, _u2473))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__add__mult__distrib ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__add__mult__distrib-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2474, _u2475), _u2476) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2474, _u2476), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2475, _u2476))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__less__mono2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2477) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2478, _u2479) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2477, _u2478), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2477, _u2479)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__order ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__order-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2480) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2481) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2480, _u2481)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__less__iff1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__less__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2482) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2483, _u2482), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2484, _u2482)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2483, _u2484) )).
% 12.23/12.40 cnf(fact_real__mult__less__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2482) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2483, _u2484) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2483, _u2482), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2484, _u2482)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__two__squares__add__zero__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__two__squares__add__zero__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2487, _u2487), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2489, _u2489)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2487 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.40 cnf(fact_real__two__squares__add__zero__iff-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2487, _u2487), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2489, _u2489)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2489 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.40 cnf(fact_real__two__squares__add__zero__iff-3, axiom, ( ( _u2488 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2490 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2488, _u2488), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2490, _u2490)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_realpow__two__diff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_realpow__two__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2491) | ( c_Groups_Ominus__class_Ominus(_u2491, c_Power_Opower__class_Opower(_u2491, _u2492, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), c_Power_Opower__class_Opower(_u2491, _u2493, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = c_Groups_Otimes__class_Otimes(_u2491, c_Groups_Ominus__class_Ominus(_u2491, _u2492, _u2493), c_Groups_Oplus__class_Oplus(_u2491, _u2492, _u2493))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2494) | ~c_Orderings_Oord__class_Oless(_u2494, c_Groups_Ozero__class_Ozero(_u2494), _u2495) | ~c_Orderings_Oord__class_Oless(_u2494, _u2495, c_Groups_Oone__class_Oone(_u2494)) | c_Orderings_Oord__class_Oless(_u2494, c_Groups_Otimes__class_Otimes(_u2494, _u2495, c_Power_Opower__class_Opower(_u2494, _u2495, _u2496)), c_Power_Opower__class_Opower(_u2494, _u2495, _u2496)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2497) | ~c_Orderings_Oord__class_Oless(_u2497, _u2498, _u2499) | ~c_Orderings_Oord__class_Oless__eq(_u2497, c_Groups_Ozero__class_Ozero(_u2497), _u2498) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2500) | c_Orderings_Oord__class_Oless(_u2497, c_Power_Opower__class_Opower(_u2497, _u2498, _u2500), c_Power_Opower__class_Opower(_u2497, _u2499, _u2500)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2501) | ~c_Orderings_Oord__class_Oless(_u2501, c_Groups_Ozero__class_Ozero(_u2501), _u2502) | ~c_Orderings_Oord__class_Oless(_u2501, _u2502, c_Groups_Oone__class_Oone(_u2501)) | c_Orderings_Oord__class_Oless(_u2501, c_Power_Opower__class_Opower(_u2501, _u2502, c_Nat_OSuc(_u2503)), c_Groups_Oone__class_Oone(_u2501)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__diff__eq__diff__pred-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls), _u2504) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u2505), _u2504) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2505, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2504, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u2506) | ( c_Groups_Otimes__class_Otimes(_u2506, c_Groups_Oplus__class_Oplus(_u2506, c_Groups_Oone__class_Oone(_u2506), c_Groups_Oone__class_Oone(_u2506)), c_Int_Onumber__class_Onumber__of(_u2506, _u2507)) = c_Int_Onumber__class_Onumber__of(_u2506, c_Int_OBit0(_u2507))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__0__left__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__0__left__number__of-1, axiom, ( ~class_Power_Opower(_u2508) | ~class_Rings_Osemiring__0(_u2508) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2508, c_Groups_Ozero__class_Ozero(_u2508), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509)) = c_Groups_Oone__class_Oone(_u2508)) )).
% 12.23/12.40 cnf(fact_power__0__left__number__of-2, axiom, ( ~class_Power_Opower(_u2508) | ~class_Rings_Osemiring__0(_u2508) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2508, c_Groups_Ozero__class_Ozero(_u2508), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509)) = c_Groups_Ozero__class_Ozero(_u2508)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__le__zero__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__le__zero__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2512 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq-2, axiom, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) | ( _u2511 = c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq-3, axiom, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, c_Groups_Ozero__class_Ozero(_u2510)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq-4, axiom, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2511 = c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq-5, axiom, ( ~class_Rings_Olinordered__idom(_u2510) | c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2512 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) | ~c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq-6, axiom, ( ~class_Rings_Olinordered__idom(_u2510) | c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2512 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) | ( _u2511 != c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__power__eq__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__power__eq__number__of-1, axiom, ( ~class_Rings_Olinordered__idom(_u2513) | ~c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), c_Power_Opower__class_Opower(_u2513, _u2514, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515)) | c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), _u2514) )).
% 12.23/12.40 cnf(fact_zero__le__power__eq__number__of-2, axiom, ( ~class_Rings_Olinordered__idom(_u2513) | c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), c_Power_Opower__class_Opower(_u2513, _u2514, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515)) )).
% 12.23/12.40 cnf(fact_zero__le__power__eq__number__of-3, axiom, ( ~class_Rings_Olinordered__idom(_u2513) | c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), c_Power_Opower__class_Opower(_u2513, _u2514, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515)) | ~c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), _u2514) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_number__of1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2516)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2516))) )).
% 12.23/12.40 cnf(fact_number__of1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2516)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2516))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u2517) | ( c_Groups_Oplus__class_Oplus(_u2517, c_Groups_Oone__class_Oone(_u2517), c_Groups_Oone__class_Oone(_u2517)) = c_Int_Onumber__class_Onumber__of(_u2517, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u2518) | ~class_Rings_Olinordered__idom(_u2518) | ~c_Orderings_Oord__class_Oless(_u2518, c_Groups_Oone__class_Oone(_u2518), c_Int_Onumber__class_Onumber__of(_u2518, _u2519)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u2519) )).
% 12.23/12.40 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u2518) | ~class_Rings_Olinordered__idom(_u2518) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u2519) | c_Orderings_Oord__class_Oless(_u2518, c_Groups_Oone__class_Oone(_u2518), c_Int_Onumber__class_Onumber__of(_u2518, _u2519)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u2520) | ~class_Rings_Olinordered__idom(_u2520) | ~c_Orderings_Oord__class_Oless(_u2520, c_Int_Onumber__class_Onumber__of(_u2520, _u2521), c_Groups_Oone__class_Oone(_u2520)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2521, c_Int_OBit1(c_Int_OPls)) )).
% 12.23/12.40 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u2520) | ~class_Rings_Olinordered__idom(_u2520) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2521, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless(_u2520, c_Int_Onumber__class_Onumber__of(_u2520, _u2521), c_Groups_Oone__class_Oone(_u2520)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u2522) | ( c_Groups_Oplus__class_Oplus(_u2522, c_Groups_Oone__class_Oone(_u2522), c_Int_Onumber__class_Onumber__of(_u2522, _u2523)) = c_Int_Onumber__class_Onumber__of(_u2522, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u2523))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u2524) | ( c_Groups_Oplus__class_Oplus(_u2524, c_Int_Onumber__class_Onumber__of(_u2524, _u2525), c_Groups_Oone__class_Oone(_u2524)) = c_Int_Onumber__class_Onumber__of(_u2524, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2525, c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u2526) | ( c_Power_Opower__class_Opower(_u2526, c_Groups_Oone__class_Oone(_u2526), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2526)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__le__zero__eq__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__le__zero__eq__number__of-1, axiom, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq__number__of-2, axiom, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) | ( _u2528 = c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq__number__of-3, axiom, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, c_Groups_Ozero__class_Ozero(_u2527)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq__number__of-4, axiom, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, c_Groups_Ozero__class_Ozero(_u2527)) | ( _u2528 = c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq__number__of-5, axiom, ( ~class_Rings_Olinordered__idom(_u2527) | c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) | ~c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.40 cnf(fact_power__le__zero__eq__number__of-6, axiom, ( ~class_Rings_Olinordered__idom(_u2527) | c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) | ( _u2528 != c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u2530) | c_Orderings_Oord__class_Oless__eq(_u2530, c_Groups_Ozero__class_Ozero(_u2530), c_Power_Opower__class_Opower(_u2530, _u2531, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2532) | ~c_Orderings_Oord__class_Oless__eq(_u2532, c_Power_Opower__class_Opower(_u2532, _u2533, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2532, _u2534, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2532, c_Groups_Ozero__class_Ozero(_u2532), _u2534) | c_Orderings_Oord__class_Oless__eq(_u2532, _u2533, _u2534) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2535) | ( c_Power_Opower__class_Opower(_u2535, _u2536, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(_u2535, _u2537, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2535, c_Groups_Ozero__class_Ozero(_u2535), _u2536) | ~c_Orderings_Oord__class_Oless__eq(_u2535, c_Groups_Ozero__class_Ozero(_u2535), _u2537) | ( _u2536 = _u2537) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2538) | ~c_Orderings_Oord__class_Oless(_u2538, c_Power_Opower__class_Opower(_u2538, _u2539, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2538, _u2540, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2538, c_Groups_Ozero__class_Ozero(_u2538), _u2540) | c_Orderings_Oord__class_Oless(_u2538, _u2539, _u2540) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u2541) | c_Orderings_Oord__class_Oless__eq(_u2541, c_Groups_Ozero__class_Ozero(_u2541), c_Groups_Oplus__class_Oplus(_u2541, c_Power_Opower__class_Opower(_u2541, _u2542, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2541, _u2543, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2544) | ~c_Orderings_Oord__class_Oless__eq(_u2544, c_Groups_Oplus__class_Oplus(_u2544, c_Power_Opower__class_Opower(_u2544, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2544, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2544)) | ( _u2545 = c_Groups_Ozero__class_Ozero(_u2544)) )).
% 12.23/12.40 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2544) | ~c_Orderings_Oord__class_Oless__eq(_u2544, c_Groups_Oplus__class_Oplus(_u2544, c_Power_Opower__class_Opower(_u2544, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2544, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2544)) | ( _u2546 = c_Groups_Ozero__class_Ozero(_u2544)) )).
% 12.23/12.40 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u2544) | ( _u2545 != c_Groups_Ozero__class_Ozero(_u2544)) | ( _u2546 != c_Groups_Ozero__class_Ozero(_u2544)) | c_Orderings_Oord__class_Oless__eq(_u2544, c_Groups_Oplus__class_Oplus(_u2544, c_Power_Opower__class_Opower(_u2544, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2544, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2544)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u2547) | c_Orderings_Oord__class_Oless__eq(_u2547, c_Groups_Ozero__class_Ozero(_u2547), c_Power_Opower__class_Opower(_u2547, _u2548, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2549))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__power__le__0__imp__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__power__le__0__imp__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2550) | ~c_Orderings_Oord__class_Oless__eq(_u2550, c_Power_Opower__class_Opower(_u2550, _u2551, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2552)), c_Groups_Ozero__class_Ozero(_u2550)) | ( _u2551 = c_Groups_Ozero__class_Ozero(_u2550)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_self__quotient__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2553) | ( _u2553 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2554, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2553, _u2555))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2554) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2555, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_self__quotient__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2556) | ( _u2556 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2557, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2556, _u2558))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2557, _u2556) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2558) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_q__pos__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2559, _u2560), _u2561)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2561, _u2559) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2559) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2560) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_q__neg__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2562, _u2563), _u2564), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2564) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2562) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2563, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__mult__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__mult__1-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2565) = _u2565) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__Suc__1-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u2566), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2566) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2567, c_Nat_OSuc(_u2568)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2567, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2568)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__zero__not__eq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__zero__not__eq__one-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zle__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2569, _u2569) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zle__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2570, _u2571) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2571, _u2570) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zle__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2572, _u2573) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2573, _u2574) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2572, _u2574) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zle__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2575, _u2576) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2576, _u2575) | ( _u2575 = _u2576) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__le__antisym ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2577, _u2578) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2578, _u2577) | ( _u2577 = _u2578) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__le__trans ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2579, _u2580) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2580, _u2581) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2579, _u2581) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__le__linear ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2582, _u2583) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2583, _u2582) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_real__le__refl ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_real__le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2584, _u2584) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2585, _u2585) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__le__self-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2586, _u2587), _u2586) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2588, _u2589) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2589, _u2588) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__commute-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2590, _u2591), _u2592) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2590, _u2592), _u2591)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__imp__le-1, axiom, ( ( _u2593 != _u2594) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2593, _u2594) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2595, _u2596) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2597, _u2596), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2597, _u2595)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2598, _u2599) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2598, _u2600), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2599, _u2600)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_diff__diff__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2601, _u2602) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2602, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2602, _u2601)) = _u2601) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2603, _u2604) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2604, _u2605) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2603, _u2605) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2606, _u2607) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2607, _u2606) | ( _u2606 = _u2607) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_eq__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2609) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2610) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2609, _u2608) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2610, _u2608)) | ( _u2609 = _u2610) )).
% 12.23/12.40 cnf(fact_eq__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2609) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2610) | ( _u2609 != _u2610) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2609, _u2608) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2610, _u2608)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2611, _u2612) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2611, _u2613) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2612, _u2611), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2613, _u2611)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2612, _u2613)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2615) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2616) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2615, _u2614), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2616, _u2614)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2615, _u2616) )).
% 12.23/12.40 cnf(fact_le__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2615) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2616) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2615, _u2616) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2615, _u2614), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2616, _u2614)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2617) | ( c_Power_Opower__class_Opower(_u2617, _u2618, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2618) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u2619) | ( c_Power_Opower__class_Opower(_u2619, _u2620, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2620) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__dvd__1__iff__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__dvd__1__iff__1-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2622, c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2622 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_nat__dvd__1__iff__1-2, axiom, ( ( _u2623 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2623, c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__mult__1-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2624) = _u2624) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__1__eq__mult__iff-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2627, _u2629)) | ( _u2627 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_nat__1__eq__mult__iff-2, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2627, _u2629)) | ( _u2629 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2628 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2630 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2628, _u2630)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__mult__1__right-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2631, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2631) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2634, _u2636) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2634 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2634, _u2636) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2636 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2635 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2637 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2635, _u2637) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_odd__1__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_odd__1__nat-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__eq__plus1-1, axiom, ( ( c_Nat_OSuc(_u2638) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2638, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( c_Nat_OSuc(_u2639) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2639)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2640 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2640, _u2641)) | ( _u2641 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2640 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__diff__1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2642) | ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2642, c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u2642) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Suc__pred_H-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2643) | ( _u2643 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2643, c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_add__eq__if-1, axiom, ( ( _u2646 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2646, _u2648) = _u2648) )).
% 12.23/12.40 cnf(fact_add__eq__if-2, axiom, ( ( _u2647 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2647, _u2649) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2647, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2649))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mult__eq__if-1, axiom, ( ( _u2652 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2652, _u2654) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_mult__eq__if-2, axiom, ( ( _u2653 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2653, _u2655) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2655, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2653, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2655))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__num__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__num__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2656) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2656) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2656, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.23/12.40 cnf(fact_even__num__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2656) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2656, c_Groups_Oone__class_Oone(tc_Nat_Onat))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2656) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__eq__if-1, axiom, ( ( _u2659 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u2661, _u2659) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_power__eq__if-2, axiom, ( ( _u2660 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u2662, _u2660) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2662, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2662, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2660, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_power__dvd__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_power__dvd__imp__le-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2663, _u2664), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2663, _u2665)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2663) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2664, _u2665) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_realpow__minus__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_realpow__minus__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u2666) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2667) | ( c_Groups_Otimes__class_Otimes(_u2666, c_Power_Opower__class_Opower(_u2666, _u2668, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2667, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u2668) = c_Power_Opower__class_Opower(_u2666, _u2668, _u2667)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_expand__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2669)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2669) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2669), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__mult__cancel1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__mult__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2670) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2670, _u2671), _u2670) | ( _u2671 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_dvd__mult__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2670) | ( _u2671 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2670, _u2671), _u2670) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__mult__cancel2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__mult__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2672) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2673, _u2672), _u2672) | ( _u2673 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_dvd__mult__cancel2-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2672) | ( _u2673 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2673, _u2672), _u2672) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nat__1__add__1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_two__realpow__ge__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_two__realpow__ge__one-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2674)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2675) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2676) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2675, _u2676)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2677) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2678) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2677, _u2678)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2679) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, _u2679, _u2680)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__mono2__neg__lemma-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2681, _u2682), _u2683) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2684, _u2685), _u2686)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2684, _u2685), _u2686), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2683, _u2681) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2686) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2684) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2684, _u2681) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2685, _u2682) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_unique__quotient__lemma__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2687, _u2688), _u2689), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2687, _u2690), _u2691)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2687, _u2691) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2687, _u2689) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2690, _u2688) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__mono2__lemma-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2692, _u2693), _u2694) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2695, _u2696), _u2697)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2695, _u2696), _u2697)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2697, _u2695) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2694) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2695, _u2692) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2693, _u2696) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_unique__quotient__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2698, _u2699), _u2700), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2698, _u2701), _u2702)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2700) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2700, _u2698) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2702, _u2698) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2699, _u2701) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_lemma__realpow__diff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_lemma__realpow__diff-1, axiom, ( ~class_Groups_Omonoid__mult(_u2703) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2704, _u2705) | ( c_Power_Opower__class_Opower(_u2703, _u2706, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u2705), _u2704)) = c_Groups_Otimes__class_Otimes(_u2703, c_Power_Opower__class_Opower(_u2703, _u2706, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2705, _u2704)), _u2706)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_realpow__num__eq__if ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_realpow__num__eq__if-1, axiom, ( ~class_Power_Opower(_u2707) | ( _u2708 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2707, _u2709, _u2708) = c_Groups_Oone__class_Oone(_u2707)) )).
% 12.23/12.40 cnf(fact_realpow__num__eq__if-2, axiom, ( ~class_Power_Opower(_u2707) | ( _u2708 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2707, _u2709, _u2708) = c_Groups_Otimes__class_Otimes(_u2707, _u2709, c_Power_Opower__class_Opower(_u2707, _u2709, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2708, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pow__divides__eq__int ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pow__divides__eq__int-1, axiom, ( ( _u2710 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2711, _u2710), c_Power_Opower__class_Opower(tc_Int_Oint, _u2712, _u2710)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2711, _u2712) )).
% 12.23/12.40 cnf(fact_pow__divides__eq__int-2, axiom, ( ( _u2710 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2711, _u2712) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2711, _u2710), c_Power_Opower__class_Opower(tc_Int_Oint, _u2712, _u2710)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pow__divides__pow__int ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pow__divides__pow__int-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2713, _u2714), c_Power_Opower__class_Opower(tc_Int_Oint, _u2715, _u2714)) | ( _u2714 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2713, _u2715) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_gcd__lcm__complete__lattice__nat_Otop__greatest ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_gcd__lcm__complete__lattice__nat_Otop__greatest-1, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2716, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_gcd__lcm__complete__lattice__nat_Obot__least ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_gcd__lcm__complete__lattice__nat_Obot__least-1, axiom, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2717) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__pos__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__pos__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2718) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2719, _u2718) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2719) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pow__divides__pow__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pow__divides__pow__nat-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2720, _u2721), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2722, _u2721)) | ( _u2721 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2720, _u2722) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pow__divides__eq__nat ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pow__divides__eq__nat-1, axiom, ( ( _u2723 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2724, _u2723), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2725, _u2723)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2724, _u2725) )).
% 12.23/12.40 cnf(fact_pow__divides__eq__nat-2, axiom, ( ( _u2723 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2724, _u2725) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2724, _u2723), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2725, _u2723)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__number__of__Bit1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2728)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2730)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2728))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2730), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2728))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.40 cnf(fact_zmod__number__of__Bit1-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2729)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2731)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2729))) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2731), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2729))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2732, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2733)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2732)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2733, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2732)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdvd__zmod__imp__zdvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdvd__zmod__imp__zdvd-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2734, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2735, _u2736)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2734, _u2736) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2734, _u2735) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdvd__zmod ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdvd__zmod-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2737, _u2738) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2737, _u2739) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2737, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2738, _u2739)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zpower__zmod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2740, _u2741), _u2742), _u2741) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2740, _u2742), _u2741)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__eq__dvd__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__eq__dvd__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2746, _u2748) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2750, _u2748)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2748, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2746, _u2750)) )).
% 12.23/12.40 cnf(fact_zmod__eq__dvd__iff-2, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2749, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2747, _u2751)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2747, _u2749) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2751, _u2749)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u2752) | ( c_Divides_Odiv__class_Omod(_u2752, c_Groups_Oplus__class_Oplus(_u2752, _u2753, _u2754), _u2754) = c_Divides_Odiv__class_Omod(_u2752, _u2753, _u2754)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u2755) | ( c_Divides_Odiv__class_Omod(_u2755, c_Groups_Oplus__class_Oplus(_u2755, _u2756, _u2757), _u2756) = c_Divides_Odiv__class_Omod(_u2755, _u2757, _u2756)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2758) | ( c_Divides_Odiv__class_Omod(_u2758, c_Groups_Oplus__class_Oplus(_u2758, _u2759, _u2760), _u2761) = c_Divides_Odiv__class_Omod(_u2758, c_Groups_Oplus__class_Oplus(_u2758, _u2759, c_Divides_Odiv__class_Omod(_u2758, _u2760, _u2761)), _u2761)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2762) | ( c_Divides_Odiv__class_Omod(_u2762, c_Groups_Oplus__class_Oplus(_u2762, _u2763, _u2764), _u2765) = c_Divides_Odiv__class_Omod(_u2762, c_Groups_Oplus__class_Oplus(_u2762, c_Divides_Odiv__class_Omod(_u2762, _u2763, _u2765), _u2764), _u2765)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2766) | ( c_Divides_Odiv__class_Omod(_u2766, c_Groups_Oplus__class_Oplus(_u2766, _u2767, _u2768), _u2769) = c_Divides_Odiv__class_Omod(_u2766, c_Groups_Oplus__class_Oplus(_u2766, c_Divides_Odiv__class_Omod(_u2766, _u2767, _u2769), c_Divides_Odiv__class_Omod(_u2766, _u2768, _u2769)), _u2769)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2770) | ( c_Divides_Odiv__class_Omod(_u2770, c_Groups_Oplus__class_Oplus(_u2770, _u2771, c_Divides_Odiv__class_Omod(_u2770, _u2772, _u2773)), _u2773) = c_Divides_Odiv__class_Omod(_u2770, c_Groups_Oplus__class_Oplus(_u2770, _u2771, _u2772), _u2773)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2774) | ( c_Divides_Odiv__class_Omod(_u2774, c_Groups_Oplus__class_Oplus(_u2774, c_Divides_Odiv__class_Omod(_u2774, _u2775, _u2776), _u2777), _u2776) = c_Divides_Odiv__class_Omod(_u2774, c_Groups_Oplus__class_Oplus(_u2774, _u2775, _u2777), _u2776)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u2778) | ( c_Divides_Odiv__class_Omod(_u2778, _u2779, _u2780) != c_Divides_Odiv__class_Omod(_u2778, _u2781, _u2780)) | ( c_Divides_Odiv__class_Omod(_u2778, _u2782, _u2780) != c_Divides_Odiv__class_Omod(_u2778, _u2783, _u2780)) | ( c_Divides_Odiv__class_Omod(_u2778, c_Groups_Oplus__class_Oplus(_u2778, _u2779, _u2782), _u2780) = c_Divides_Odiv__class_Omod(_u2778, c_Groups_Oplus__class_Oplus(_u2778, _u2781, _u2783), _u2780)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__mod__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__mod__iff-1, axiom, ( ~class_Divides_Osemiring__div(_u2784) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2786) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, c_Divides_Odiv__class_Omod(_u2784, _u2787, _u2786)) | c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2787) )).
% 12.23/12.40 cnf(fact_dvd__mod__iff-2, axiom, ( ~class_Divides_Osemiring__div(_u2784) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2786) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2787) | c_Rings_Odvd__class_Odvd(_u2784, _u2785, c_Divides_Odiv__class_Omod(_u2784, _u2787, _u2786)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mod__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mod__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u2788) | ~c_Rings_Odvd__class_Odvd(_u2788, _u2789, _u2790) | ( c_Divides_Odiv__class_Omod(_u2788, c_Divides_Odiv__class_Omod(_u2788, _u2791, _u2790), _u2789) = c_Divides_Odiv__class_Omod(_u2788, _u2791, _u2789)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__mod ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__mod-1, axiom, ( ~class_Divides_Osemiring__div(_u2792) | ~c_Rings_Odvd__class_Odvd(_u2792, _u2793, _u2794) | ~c_Rings_Odvd__class_Odvd(_u2792, _u2793, _u2795) | c_Rings_Odvd__class_Odvd(_u2792, _u2793, c_Divides_Odiv__class_Omod(_u2792, _u2794, _u2795)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__mod__imp__dvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__mod__imp__dvd-1, axiom, ( ~class_Divides_Osemiring__div(_u2796) | ~c_Rings_Odvd__class_Odvd(_u2796, _u2797, c_Divides_Odiv__class_Omod(_u2796, _u2798, _u2799)) | ~c_Rings_Odvd__class_Odvd(_u2796, _u2797, _u2799) | c_Rings_Odvd__class_Odvd(_u2796, _u2797, _u2798) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2800) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2801, _u2801) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__le__nonneg__dividend-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2802) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2802, _u2803), _u2802) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_Divides_Otransfer__nat__int__function__closures_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2804) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2804, _u2805)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u2806) | ( c_Divides_Odiv__class_Omod(_u2806, _u2807, _u2808) != c_Divides_Odiv__class_Omod(_u2806, _u2809, _u2808)) | ( c_Divides_Odiv__class_Omod(_u2806, _u2810, _u2808) != c_Divides_Odiv__class_Omod(_u2806, _u2811, _u2808)) | ( c_Divides_Odiv__class_Omod(_u2806, c_Groups_Ominus__class_Ominus(_u2806, _u2807, _u2810), _u2808) = c_Divides_Odiv__class_Omod(_u2806, c_Groups_Ominus__class_Ominus(_u2806, _u2809, _u2811), _u2808)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiff__zmod__left-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2812, _u2813), _u2814), _u2813) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2812, _u2814), _u2813)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiff__zmod__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2815, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2816, _u2817)), _u2817) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2815, _u2816), _u2817)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u2818) | ( c_Divides_Odiv__class_Omod(_u2818, c_Groups_Ominus__class_Ominus(_u2818, _u2819, _u2820), _u2821) = c_Divides_Odiv__class_Omod(_u2818, c_Groups_Ominus__class_Ominus(_u2818, c_Divides_Odiv__class_Omod(_u2818, _u2819, _u2821), c_Divides_Odiv__class_Omod(_u2818, _u2820, _u2821)), _u2821)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u2822) | ( c_Divides_Odiv__class_Omod(_u2822, c_Groups_Ominus__class_Ominus(_u2822, _u2823, _u2824), _u2825) = c_Divides_Odiv__class_Omod(_u2822, c_Groups_Ominus__class_Ominus(_u2822, c_Divides_Odiv__class_Omod(_u2822, _u2823, _u2825), _u2824), _u2825)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u2826) | ( c_Divides_Odiv__class_Omod(_u2826, c_Groups_Ominus__class_Ominus(_u2826, _u2827, _u2828), _u2829) = c_Divides_Odiv__class_Omod(_u2826, c_Groups_Ominus__class_Ominus(_u2826, _u2827, c_Divides_Odiv__class_Omod(_u2826, _u2828, _u2829)), _u2829)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2830) | ( c_Divides_Odiv__class_Omod(_u2830, c_Groups_Ozero__class_Ozero(_u2830), _u2831) = c_Groups_Ozero__class_Ozero(_u2830)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2832) | ( c_Divides_Odiv__class_Omod(_u2832, _u2833, c_Groups_Ozero__class_Ozero(_u2832)) = _u2833) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u2834) | ( c_Divides_Odiv__class_Omod(_u2834, _u2835, _u2835) = c_Groups_Ozero__class_Ozero(_u2834)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2836) | ( c_Divides_Odiv__class_Omod(_u2836, c_Groups_Otimes__class_Otimes(_u2836, _u2837, _u2838), _u2837) = c_Groups_Ozero__class_Ozero(_u2836)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2839) | ( c_Divides_Odiv__class_Omod(_u2839, c_Groups_Otimes__class_Otimes(_u2839, _u2840, _u2841), _u2841) = c_Groups_Ozero__class_Ozero(_u2839)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u2842) | ( c_Divides_Odiv__class_Omod(_u2842, c_Groups_Oplus__class_Oplus(_u2842, _u2843, c_Groups_Otimes__class_Otimes(_u2842, _u2844, _u2845)), _u2844) = c_Divides_Odiv__class_Omod(_u2842, _u2843, _u2844)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u2846) | ( c_Divides_Odiv__class_Omod(_u2846, c_Groups_Oplus__class_Oplus(_u2846, _u2847, c_Groups_Otimes__class_Otimes(_u2846, _u2848, _u2849)), _u2849) = c_Divides_Odiv__class_Omod(_u2846, _u2847, _u2849)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__eq__mod__eq__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__eq__mod__eq__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2850) | ~c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) | ( c_Divides_Odiv__class_Omod(_u2850, _u2852, _u2851) = c_Groups_Ozero__class_Ozero(_u2850)) )).
% 12.23/12.40 cnf(fact_dvd__eq__mod__eq__0-2, axiom, ( ~class_Divides_Osemiring__div(_u2850) | ( c_Divides_Odiv__class_Omod(_u2850, _u2852, _u2851) != c_Groups_Ozero__class_Ozero(_u2850)) | c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__imp__mod__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__imp__mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u2853) | ~c_Rings_Odvd__class_Odvd(_u2853, _u2854, _u2855) | ( c_Divides_Odiv__class_Omod(_u2853, _u2855, _u2854) = c_Groups_Ozero__class_Ozero(_u2853)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u2856) | ( c_Divides_Odiv__class_Omod(_u2856, c_Divides_Odiv__class_Omod(_u2856, _u2857, _u2858), _u2858) = c_Divides_Odiv__class_Omod(_u2856, _u2857, _u2858)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__simps_I3_J-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2859, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2860, _u2861)), _u2861) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2859, _u2860), _u2861)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__zmult1__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2862, _u2863), _u2864) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2862, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2863, _u2864)), _u2864)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2865) | ( c_Divides_Odiv__class_Omod(_u2865, c_Groups_Otimes__class_Otimes(_u2865, _u2866, _u2867), _u2868) = c_Divides_Odiv__class_Omod(_u2865, c_Groups_Otimes__class_Otimes(_u2865, _u2866, c_Divides_Odiv__class_Omod(_u2865, _u2867, _u2868)), _u2868)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2869) | ( c_Divides_Odiv__class_Omod(_u2869, c_Groups_Otimes__class_Otimes(_u2869, _u2870, _u2871), _u2872) = c_Divides_Odiv__class_Omod(_u2869, c_Groups_Otimes__class_Otimes(_u2869, c_Divides_Odiv__class_Omod(_u2869, _u2870, _u2872), _u2871), _u2872)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u2873) | ( c_Divides_Odiv__class_Omod(_u2873, c_Groups_Otimes__class_Otimes(_u2873, _u2874, _u2875), _u2876) = c_Divides_Odiv__class_Omod(_u2873, c_Groups_Otimes__class_Otimes(_u2873, c_Divides_Odiv__class_Omod(_u2873, _u2874, _u2876), c_Divides_Odiv__class_Omod(_u2873, _u2875, _u2876)), _u2876)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u2877) | ( c_Divides_Odiv__class_Omod(_u2877, c_Groups_Otimes__class_Otimes(_u2877, _u2878, _u2879), c_Groups_Otimes__class_Otimes(_u2877, _u2878, _u2880)) = c_Groups_Otimes__class_Otimes(_u2877, _u2878, c_Divides_Odiv__class_Omod(_u2877, _u2879, _u2880))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u2881) | ( c_Divides_Odiv__class_Omod(_u2881, c_Groups_Otimes__class_Otimes(_u2881, _u2882, _u2883), c_Groups_Otimes__class_Otimes(_u2881, _u2884, _u2883)) = c_Groups_Otimes__class_Otimes(_u2881, c_Divides_Odiv__class_Omod(_u2881, _u2882, _u2884), _u2883)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u2885) | ( c_Divides_Odiv__class_Omod(_u2885, c_Groups_Otimes__class_Otimes(_u2885, c_Divides_Odiv__class_Omod(_u2885, _u2886, _u2887), _u2888), _u2887) = c_Divides_Odiv__class_Omod(_u2885, c_Groups_Otimes__class_Otimes(_u2885, _u2886, _u2888), _u2887)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u2889) | ( c_Divides_Odiv__class_Omod(_u2889, _u2890, _u2891) != c_Divides_Odiv__class_Omod(_u2889, _u2892, _u2891)) | ( c_Divides_Odiv__class_Omod(_u2889, _u2893, _u2891) != c_Divides_Odiv__class_Omod(_u2889, _u2894, _u2891)) | ( c_Divides_Odiv__class_Omod(_u2889, c_Groups_Otimes__class_Otimes(_u2889, _u2890, _u2893), _u2891) = c_Divides_Odiv__class_Omod(_u2889, c_Groups_Otimes__class_Otimes(_u2889, _u2892, _u2894), _u2891)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__mod__bound-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2896, _u2895)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__mod__bound-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2897) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2898, _u2897), _u2897) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2903, _u2905) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2903 = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2905, skolem16(_u2905, _u2903))) )).
% 12.23/12.40 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u2904 != c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2906, _u2900)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2904, _u2906) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__eq__mod__eq__0__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__eq__mod__eq__0__number__of-1, axiom, ( ~class_Divides_Osemiring__div(_u2907) | ~class_Int_Onumber(_u2907) | ~c_Rings_Odvd__class_Odvd(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2908), c_Int_Onumber__class_Onumber__of(_u2907, _u2909)) | ( c_Divides_Odiv__class_Omod(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2909), c_Int_Onumber__class_Onumber__of(_u2907, _u2908)) = c_Groups_Ozero__class_Ozero(_u2907)) )).
% 12.23/12.40 cnf(fact_dvd__eq__mod__eq__0__number__of-2, axiom, ( ~class_Divides_Osemiring__div(_u2907) | ~class_Int_Onumber(_u2907) | ( c_Divides_Odiv__class_Omod(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2909), c_Int_Onumber__class_Onumber__of(_u2907, _u2908)) != c_Groups_Ozero__class_Ozero(_u2907)) | c_Rings_Odvd__class_Odvd(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2908), c_Int_Onumber__class_Onumber__of(_u2907, _u2909)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u2910) | ( c_Divides_Odiv__class_Omod(_u2910, _u2911, c_Groups_Oone__class_Oone(_u2910)) = c_Groups_Ozero__class_Ozero(_u2910)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2912, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2913, _u2912) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2912, _u2913) = _u2912) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__mod__conj-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2914, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2915, _u2914), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_neg__mod__conj-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2914, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2914, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2915, _u2914)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__mod__sign-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2916, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2917, _u2916), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__pos__pos__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2918) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2918, _u2919) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2918, _u2919) = _u2918) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__mod__conj-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2920) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2921, _u2920)) )).
% 12.23/12.40 cnf(fact_pos__mod__conj-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2920) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2921, _u2920), _u2920) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__mod__sign-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2922) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2923, _u2922)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2924, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdvd__iff__zmod__eq__0__number__of ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdvd__iff__zmod__eq__0__number__of-1, axiom, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2927), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2929)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2929), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2927)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_zdvd__iff__zmod__eq__0__number__of-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2930), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2928)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2928), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2930)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__pos__neg__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2931) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, _u2932), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2931, _u2932) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, _u2932)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__number__of__Bit0-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2933)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2934))) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2933), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2934)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u2946, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2948, _u2950))) | ( _u2950 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u2946, _u2948)) )).
% 12.23/12.40 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u2946, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2948, _u2950))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2950) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2935) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2935, _u2950) | ( _u2948 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2950, _u2936), _u2935)) | hBOOL(hAPP(_u2946, _u2935)) )).
% 12.23/12.40 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u2946, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2948, _u2950))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2950, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2950, _u2937) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2937, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2948 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2950, _u2938), _u2937)) | hBOOL(hAPP(_u2946, _u2937)) )).
% 12.23/12.40 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.40 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.40 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult2__lemma__aux3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2952) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2953) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2953, _u2954) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2954, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2955, _u2952)), _u2953)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult2__lemma__aux4-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2956) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2957) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2957, _u2958) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2958, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2959, _u2956)), _u2957), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2958, _u2956)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult2__lemma__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2960) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2961, _u2962) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2962, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2961, _u2960), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2961, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2963, _u2960)), _u2962)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmult2__lemma__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2964) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2965, _u2966) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2966, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2965, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2967, _u2964)), _u2966), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u2968 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2969, _u2970), _u2971)) | ( _u2969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2968, _u2969) = _u2971) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2969, _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2971, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u2968 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2969, _u2970), _u2971)) | ( _u2969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2968, _u2969) = _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2971) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2971, _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2969) )).
% 12.23/12.40 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u2968 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2969, _u2970), _u2971)) | ( _u2969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2968, _u2969) = _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2971) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2971, _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2969, _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2971, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neq__one__mod__two ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neq__one__mod__two-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2973, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2973, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_neq__one__mod__two-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2974, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2974, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__def ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__def-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u2976) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2976, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_even__def-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2977, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u2977) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__minus1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2978) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin), _u2978) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2978, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__zmod__mult__2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2979) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2980)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2979)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2980, _u2979)))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2981, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2982)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2981)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2982, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2981)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__zdiv__mult__2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2983) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2984)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2983)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2984, _u2983)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__self4-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2985, _u2986), _u2987)), _u2986) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u2987), _u2986)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2988, _u2989) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2988, _u2989) = _u2988) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__geq-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2990, _u2991) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2990, _u2991) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2990, _u2991), _u2991)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__zadd1__eq-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2992, _u2993), _u2994) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2992, _u2994), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2993, _u2994)), c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2992, _u2994), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2993, _u2994)), _u2994))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__if-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2997, _u2999) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2997, _u2999) = _u2997) )).
% 12.23/12.40 cnf(fact_mod__if-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2998, _u3000) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2998, _u3000) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2998, _u3000), _u3000)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3002, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3003, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3003) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u3004) | ( c_Divides_Odiv__class_Odiv(_u3004, c_Divides_Odiv__class_Omod(_u3004, _u3005, _u3006), _u3006) = c_Groups_Ozero__class_Ozero(_u3004)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zmod__zdiv__trivial-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3007, _u3008), _u3008) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_le__mod__geq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3009, _u3010) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3010, _u3009) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3010, _u3009), _u3009)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__less__eq__dividend-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3011, _u3012), _u3011) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__distrib2-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3013, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3014, _u3015)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3013, _u3014), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3013, _u3015))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__distrib-1, axiom, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3016, _u3017), _u3018) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3016, _u3018), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3017, _u3018))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u3019), _u3020) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3019, _u3020)), _u3020)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__Suc-1, axiom, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3023, _u3025)) != _u3025) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u3023), _u3025) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_mod__Suc-2, axiom, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3024, _u3026)) = _u3026) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u3024), _u3026) = c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3024, _u3026))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3027, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__less__divisor-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3028) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3029, _u3028), _u3028) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3034, _u3036) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3034 = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3036, skolem21(_u3036, _u3034))) )).
% 12.23/12.40 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u3035 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3037, _u3031)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3035, _u3037) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__mult__self3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3038, _u3039), _u3040), _u3039) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3040, _u3039)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_mod__le__divisor-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3041) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3042, _u3041), _u3041) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_odd__nat__mod__two__eq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_odd__nat__mod__two__eq__one-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3043) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3043, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__nat__mod__two__eq__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__nat__mod__two__eq__zero-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3044) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3044, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_odd__nat__equiv__def ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_odd__nat__equiv__def-1, axiom, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3046) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3046, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.40 cnf(fact_odd__nat__equiv__def-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3047, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3047) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_even__nat__equiv__def ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_even__nat__equiv__def-1, axiom, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3049) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3049, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(fact_even__nat__equiv__def-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3050, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3050) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u3051) | ( c_Divides_Odiv__class_Odiv(_u3051, _u3052, c_Groups_Oone__class_Oone(_u3051)) = _u3052) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__self-1, axiom, ( ( _u3053 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3053, _u3053) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u3054) | ( _u3055 = c_Groups_Ozero__class_Ozero(_u3054)) | ( c_Divides_Odiv__class_Odiv(_u3054, _u3055, _u3055) = c_Groups_Oone__class_Oone(_u3054)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3056, _u3057) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3058, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3057, _u3058), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3056, _u3058)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3059, _u3060) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3061) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3059, _u3061), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3060, _u3061)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3062, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3063, _u3062) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3062, _u3063) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3064, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3065) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3065, _u3066) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3064, _u3065), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3064, _u3066)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3067, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3068) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3067, _u3068), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3069, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3070, _u3069)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3070, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3069, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3070, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3070, _u3069)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__pos__pos__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3071) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3071, _u3072) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3071, _u3072) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__nonneg__neg__le0-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3073) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3074, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3073, _u3074), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3075) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3076) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3076, _u3077) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3075, _u3077), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3075, _u3076)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_nonneg1__imp__zdiv__pos__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3078) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3078, _u3079)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3079, _u3078) )).
% 12.23/12.40 cnf(fact_nonneg1__imp__zdiv__pos__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3078) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3078, _u3079)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3079) )).
% 12.23/12.40 cnf(fact_nonneg1__imp__zdiv__pos__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3078) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3079, _u3078) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3079) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3078, _u3079)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__imp__zdiv__pos__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3080) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3081, _u3080)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3080, _u3081) )).
% 12.23/12.40 cnf(fact_pos__imp__zdiv__pos__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3080) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3080, _u3081) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3081, _u3080)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_pos__imp__zdiv__nonneg__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3082) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3083, _u3082)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3083) )).
% 12.23/12.40 cnf(fact_pos__imp__zdiv__nonneg__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3082) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3083) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3083, _u3082)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3086) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3086, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3086) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3088, _u3086) )).
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3086, _u3088) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3086, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3086, _u3088) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3088, _u3086) )).
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3087, _u3089) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3089 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3087, _u3089) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3087) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3087, _u3089) )).
% 12.23/12.40 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3087, _u3089) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3087, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3089, _u3087) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_int__div__less__self-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3090) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u3091) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3090, _u3091), _u3090) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_zdiv__zmult2__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3092) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3093, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u3094, _u3092)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3093, _u3094), _u3092)) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__power ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__power-1, axiom, ( ~class_Divides_Osemiring__div(_u3095) | ~c_Rings_Odvd__class_Odvd(_u3095, _u3096, _u3097) | ( c_Power_Opower__class_Opower(_u3095, c_Divides_Odiv__class_Odiv(_u3095, _u3097, _u3096), _u3098) = c_Divides_Odiv__class_Odiv(_u3095, c_Power_Opower__class_Opower(_u3095, _u3097, _u3098), c_Power_Opower__class_Opower(_u3095, _u3096, _u3098))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_div__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_div__add-1, axiom, ( ~class_Divides_Osemiring__div(_u3099) | ~c_Rings_Odvd__class_Odvd(_u3099, _u3100, _u3101) | ~c_Rings_Odvd__class_Odvd(_u3099, _u3100, _u3102) | ( c_Divides_Odiv__class_Odiv(_u3099, c_Groups_Oplus__class_Oplus(_u3099, _u3101, _u3102), _u3100) = c_Groups_Oplus__class_Oplus(_u3099, c_Divides_Odiv__class_Odiv(_u3099, _u3101, _u3100), c_Divides_Odiv__class_Odiv(_u3099, _u3102, _u3100))) )).
% 12.23/12.40
% 12.23/12.40 % Formula: fact_dvd__mult__div__cancel ( axiom ) converted to clauses:
% 12.23/12.40 cnf(fact_dvd__mult__div__cancel-1, axiom, ( ~class_Divides_Osemiring__div(_u3103) | ~c_Rings_Odvd__class_Odvd(_u3103, _u3104, _u3105) | ( c_Groups_Otimes__class_Otimes(_u3103, _u3104, c_Divides_Odiv__class_Odiv(_u3103, _u3105, _u3104)) = _u3105) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Osemiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Power_Opower ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Power_Opower-1, axiom, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Ozero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Oidom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Int_Onumber ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Groups_Oone ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_RealDef__Oreal__Rings_Odvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_RealDef__Oreal__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_RealDef_Oreal) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Int_Onumber__ring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Osemiring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Power_Opower ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Power_Opower-1, axiom, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Ozero ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Oring ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Oidom ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Int_Onumber ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Groups_Oone ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: arity_Complex__Ocomplex__Rings_Odvd ( axiom ) converted to clauses:
% 12.23/12.40 cnf(arity_Complex__Ocomplex__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Complex_Ocomplex) )).
% 12.23/12.40
% 12.23/12.40 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.23/12.40 cnf(conj_0-1, hypothesis, ( ( v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u3106)) | v_thesis____ )).
% 12.23/12.40
% 12.23/12.40 % Formula: conj_1 ( conjecture ) (definitionally) converted to clauses:
% 12.23/12.40 cnf(conj_1-1, negated_conjecture, ( ~v_thesis____ )).
% 12.23/12.40
% 12.23/12.40 % Problem matrix:
% 12.23/12.40 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.23/12.40 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.23/12.40 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.23/12.40 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onumber__class_Onumber__of(__eqx_0, __eqx_1) = c_Int_Onumber__class_Onumber__of(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Otimes__class_Otimes(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Otimes__class_Otimes(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_OSuc(__eqx_0) = c_Nat_OSuc(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower__class_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower__class_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Oplus__class_Oplus(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Oplus__class_Oplus(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(__eqx_0) = c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Ominus__class_Ominus(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Ominus__class_Ominus(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Odiv(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Odiv(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 12.23/12.40 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem14(__eqx_0, __eqx_1, __eqx_2) = skolem14(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem17(__eqx_0, __eqx_1, __eqx_2) = skolem17(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem19(__eqx_0, __eqx_1, __eqx_2) = skolem19(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem20(__eqx_0, __eqx_1, __eqx_2) = skolem20(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.23/12.40 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem21(__eqx_0, __eqx_1) = skolem21(__eqy_0, __eqy_1)) )).
% 12.23/12.40 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Parity_Oeven__odd__class_Oeven(__eqx_0, __eqx_1) | c_Parity_Oeven__odd__class_Oeven(__eqy_0, __eqy_1) )).
% 12.23/12.40 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.23/12.40 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 12.23/12.40 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.23/12.40 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.23/12.40 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra(__eqx_0) | class_RealVector_Oreal__normed__algebra(__eqy_0) )).
% 12.23/12.40 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.23/12.40 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.23/12.40 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.23/12.40 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless(__eqy_0, __eqy_1, __eqy_2) )).
% 12.23/12.40 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 12.23/12.40 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Rings_Odvd__class_Odvd(__eqx_0, __eqx_1, __eqx_2) | c_Rings_Odvd__class_Odvd(__eqy_0, __eqy_1, __eqy_2) )).
% 12.23/12.40 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.23/12.40 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.23/12.40 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.23/12.40 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 12.23/12.40 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 12.23/12.40 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.23/12.40 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 12.23/12.40 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.23/12.40 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.23/12.40 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.23/12.40 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.23/12.40 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.23/12.40 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.23/12.40 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.23/12.40 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.23/12.40 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.23/12.40 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 12.23/12.40 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.23/12.40 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless__eq(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless__eq(__eqy_0, __eqy_1, __eqy_2) )).
% 12.23/12.40 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.23/12.40 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.23/12.40 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.23/12.40 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.23/12.40 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.23/12.40 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.23/12.40 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.23/12.40 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.23/12.40 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.23/12.40 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.23/12.40 cnf(matrix-99, plain, ( ( v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem1)) )).
% 12.23/12.40 cnf(matrix-100, plain, ( ( v_na____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-101, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, v_na____) )).
% 12.23/12.40 cnf(matrix-102, plain, ( ( v_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-103, plain, ( ~class_Int_Onumber__ring(_u1) | ( c_Groups_Otimes__class_Otimes(_u1, _u2, c_Int_Onumber__class_Onumber__of(_u1, c_Int_OBit1(c_Int_OPls))) = _u2) )).
% 12.23/12.40 cnf(matrix-104, plain, ( ~class_Int_Onumber__ring(_u3) | ( c_Groups_Otimes__class_Otimes(_u3, c_Int_Onumber__class_Onumber__of(_u3, c_Int_OBit1(c_Int_OPls)), _u4) = _u4) )).
% 12.23/12.40 cnf(matrix-105, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 12.23/12.40 cnf(matrix-106, plain, ( ( c_Int_OPls != c_Int_OBit0(_u6)) | ( c_Int_OPls = _u6) )).
% 12.23/12.40 cnf(matrix-107, plain, ( ( c_Int_OPls != _u7) | ( c_Int_OPls = c_Int_OBit0(_u7)) )).
% 12.23/12.40 cnf(matrix-108, plain, ( ( c_Int_OBit0(_u9) != c_Int_OPls) | ( _u9 = c_Int_OPls) )).
% 12.23/12.40 cnf(matrix-109, plain, ( ( _u10 != c_Int_OPls) | ( c_Int_OBit0(_u10) = c_Int_OPls) )).
% 12.23/12.40 cnf(matrix-110, plain, ( ( c_Int_OBit0(_u11) != c_Int_OBit1(_u12)) )).
% 12.23/12.40 cnf(matrix-111, plain, ( ( c_Int_OBit1(_u13) != c_Int_OBit0(_u14)) )).
% 12.23/12.40 cnf(matrix-112, plain, ( ( c_Int_OPls != c_Int_OBit1(_u15)) )).
% 12.23/12.40 cnf(matrix-113, plain, ( ( c_Int_OBit1(_u16) != c_Int_OPls) )).
% 12.23/12.40 cnf(matrix-114, plain, ( ~class_Int_Onumber__ring(_u17) | ( c_Int_Onumber__class_Onumber__of(_u17, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u18, _u19)) = c_Groups_Otimes__class_Otimes(_u17, c_Int_Onumber__class_Onumber__of(_u17, _u18), c_Int_Onumber__class_Onumber__of(_u17, _u19))) )).
% 12.23/12.40 cnf(matrix-115, plain, ( ~class_Int_Onumber__ring(_u20) | ( c_Groups_Otimes__class_Otimes(_u20, c_Int_Onumber__class_Onumber__of(_u20, _u21), c_Int_Onumber__class_Onumber__of(_u20, _u22)) = c_Int_Onumber__class_Onumber__of(_u20, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u21, _u22))) )).
% 12.23/12.40 cnf(matrix-116, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u23, _u24) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u24, _u23)) )).
% 12.23/12.40 cnf(matrix-117, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u25), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u26)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u25, _u26))) )).
% 12.23/12.40 cnf(matrix-118, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u27, _u28), _u29) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u27, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u28, _u29))) )).
% 12.23/12.40 cnf(matrix-119, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OPls, _u30) = c_Int_OPls) )).
% 12.23/12.40 cnf(matrix-120, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit0(_u31), _u32) = c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u31, _u32))) )).
% 12.23/12.40 cnf(matrix-121, plain, ( ~class_Int_Onumber__ring(_u33) | ( c_Int_Onumber__class_Onumber__of(_u33, c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u33)) )).
% 12.23/12.40 cnf(matrix-122, plain, ( ~class_Int_Onumber__ring(_u34) | ~class_Int_Oring__char__0(_u34) | ( c_Int_Onumber__class_Onumber__of(_u34, _u35) != c_Int_Onumber__class_Onumber__of(_u34, _u36)) | ( _u35 = _u36) )).
% 12.23/12.40 cnf(matrix-123, plain, ( ~class_Int_Onumber__ring(_u34) | ~class_Int_Oring__char__0(_u34) | ( _u35 != _u36) | ( c_Int_Onumber__class_Onumber__of(_u34, _u35) = c_Int_Onumber__class_Onumber__of(_u34, _u36)) )).
% 12.23/12.40 cnf(matrix-124, plain, ( ~class_Int_Onumber(_u37) | ( c_Int_Onumber__class_Onumber__of(_u37, _u38) != _u39) | ( _u39 = c_Int_Onumber__class_Onumber__of(_u37, _u38)) )).
% 12.23/12.40 cnf(matrix-125, plain, ( ~class_Int_Onumber(_u37) | ( _u39 != c_Int_Onumber__class_Onumber__of(_u37, _u38)) | ( c_Int_Onumber__class_Onumber__of(_u37, _u38) = _u39) )).
% 12.23/12.40 cnf(matrix-126, plain, ( ( c_Int_OBit1(_u42) != c_Int_OBit1(_u44)) | ( _u42 = _u44) )).
% 12.23/12.40 cnf(matrix-127, plain, ( ( _u43 != _u45) | ( c_Int_OBit1(_u43) = c_Int_OBit1(_u45)) )).
% 12.23/12.40 cnf(matrix-128, plain, ( ( c_Int_OBit0(_u48) != c_Int_OBit0(_u50)) | ( _u48 = _u50) )).
% 12.23/12.40 cnf(matrix-129, plain, ( ( _u49 != _u51) | ( c_Int_OBit0(_u49) = c_Int_OBit0(_u51)) )).
% 12.23/12.40 cnf(matrix-130, plain, ( ~class_Int_Onumber__ring(_u52) | ( c_Groups_Otimes__class_Otimes(_u52, c_Int_Onumber__class_Onumber__of(_u52, _u53), c_Groups_Otimes__class_Otimes(_u52, c_Int_Onumber__class_Onumber__of(_u52, _u54), _u55)) = c_Groups_Otimes__class_Otimes(_u52, c_Int_Onumber__class_Onumber__of(_u52, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u53, _u54)), _u55)) )).
% 12.23/12.40 cnf(matrix-131, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u59) | ( _u59 = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem2(_u59))) )).
% 12.23/12.40 cnf(matrix-132, plain, ( ( _u60 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u57)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u60) )).
% 12.23/12.40 cnf(matrix-133, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-134, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls)) )).
% 12.23/12.40 cnf(matrix-135, plain, ( ~class_Int_Onumber__ring(_u61) | ( c_Groups_Ozero__class_Ozero(_u61) = c_Int_Onumber__class_Onumber__of(_u61, c_Int_OPls)) )).
% 12.23/12.40 cnf(matrix-136, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u64, _u66)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u64) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u66) )).
% 12.23/12.40 cnf(matrix-137, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u65, _u67)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u65) )).
% 12.23/12.40 cnf(matrix-138, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u65, _u67)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u67) )).
% 12.23/12.40 cnf(matrix-139, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-140, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u71, _u73) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u75, _u73)) | ( _u71 = _u75) | ( _u73 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-141, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u72, _u74) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u76, _u74)) | ( _u72 != _u76) )).
% 12.23/12.40 cnf(matrix-142, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u72, _u74) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u76, _u74)) | ( _u74 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-143, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u80, _u82) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u80, _u84)) | ( _u82 = _u84) | ( _u80 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-144, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u83) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u85)) | ( _u83 != _u85) )).
% 12.23/12.40 cnf(matrix-145, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u83) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u81, _u85)) | ( _u81 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-146, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u89, _u91) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u89, _u93)) | ( _u89 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u91 = _u93) )).
% 12.23/12.40 cnf(matrix-147, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u92) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u94)) | ( _u90 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-148, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u92) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u90, _u94)) | ( _u92 != _u94) )).
% 12.23/12.40 cnf(matrix-149, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u97, _u99) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u97 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u99 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-150, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u98, _u100) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u98 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-151, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u98, _u100) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u100 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-152, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u101, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-153, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u102) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-154, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u103) = _u103) )).
% 12.23/12.40 cnf(matrix-155, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.40 cnf(matrix-156, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 12.23/12.40 cnf(matrix-157, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u104, _u105) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u105, _u104)) )).
% 12.23/12.40 cnf(matrix-158, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u106, _u107), _u108) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u106, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u107, _u108))) )).
% 12.23/12.40 cnf(matrix-159, plain, ( ~class_Rings_Omult__zero(_u109) | ( c_Groups_Otimes__class_Otimes(_u109, c_Groups_Ozero__class_Ozero(_u109), _u110) = c_Groups_Ozero__class_Ozero(_u109)) )).
% 12.23/12.40 cnf(matrix-160, plain, ( ~class_Rings_Ocomm__semiring__1(_u111) | ( c_Groups_Otimes__class_Otimes(_u111, c_Groups_Ozero__class_Ozero(_u111), _u112) = c_Groups_Ozero__class_Ozero(_u111)) )).
% 12.23/12.40 cnf(matrix-161, plain, ( ~class_RealVector_Oreal__normed__algebra(_u113) | ( c_Groups_Otimes__class_Otimes(_u113, c_Groups_Ozero__class_Ozero(_u113), _u114) = c_Groups_Ozero__class_Ozero(_u113)) )).
% 12.23/12.40 cnf(matrix-162, plain, ( ~class_RealVector_Oreal__normed__algebra(_u115) | ( c_Groups_Otimes__class_Otimes(_u115, c_Groups_Ozero__class_Ozero(_u115), _u116) = c_Groups_Ozero__class_Ozero(_u115)) )).
% 12.23/12.40 cnf(matrix-163, plain, ( ~class_Rings_Omult__zero(_u117) | ( c_Groups_Otimes__class_Otimes(_u117, _u118, c_Groups_Ozero__class_Ozero(_u117)) = c_Groups_Ozero__class_Ozero(_u117)) )).
% 12.23/12.40 cnf(matrix-164, plain, ( ~class_Rings_Ocomm__semiring__1(_u119) | ( c_Groups_Otimes__class_Otimes(_u119, _u120, c_Groups_Ozero__class_Ozero(_u119)) = c_Groups_Ozero__class_Ozero(_u119)) )).
% 12.23/12.40 cnf(matrix-165, plain, ( ~class_RealVector_Oreal__normed__algebra(_u121) | ( c_Groups_Otimes__class_Otimes(_u121, _u122, c_Groups_Ozero__class_Ozero(_u121)) = c_Groups_Ozero__class_Ozero(_u121)) )).
% 12.23/12.40 cnf(matrix-166, plain, ( ~class_RealVector_Oreal__normed__algebra(_u123) | ( c_Groups_Otimes__class_Otimes(_u123, _u124, c_Groups_Ozero__class_Ozero(_u123)) = c_Groups_Ozero__class_Ozero(_u123)) )).
% 12.23/12.40 cnf(matrix-167, plain, ( ~class_Rings_Oring__no__zero__divisors(_u125) | ( c_Groups_Otimes__class_Otimes(_u125, _u126, _u127) != c_Groups_Ozero__class_Ozero(_u125)) | ( _u126 = c_Groups_Ozero__class_Ozero(_u125)) | ( _u127 = c_Groups_Ozero__class_Ozero(_u125)) )).
% 12.23/12.40 cnf(matrix-168, plain, ( ~class_Rings_Oring__no__zero__divisors(_u125) | ( c_Groups_Otimes__class_Otimes(_u125, _u126, _u127) = c_Groups_Ozero__class_Ozero(_u125)) | ( _u126 != c_Groups_Ozero__class_Ozero(_u125)) )).
% 12.23/12.40 cnf(matrix-169, plain, ( ~class_Rings_Oring__no__zero__divisors(_u125) | ( c_Groups_Otimes__class_Otimes(_u125, _u126, _u127) = c_Groups_Ozero__class_Ozero(_u125)) | ( _u127 != c_Groups_Ozero__class_Ozero(_u125)) )).
% 12.23/12.40 cnf(matrix-170, plain, ( ~class_Rings_Ono__zero__divisors(_u128) | ( _u129 = c_Groups_Ozero__class_Ozero(_u128)) | ( _u130 = c_Groups_Ozero__class_Ozero(_u128)) | ( c_Groups_Otimes__class_Otimes(_u128, _u129, _u130) != c_Groups_Ozero__class_Ozero(_u128)) )).
% 12.23/12.40 cnf(matrix-171, plain, ( ~class_Rings_Ono__zero__divisors(_u131) | ( c_Groups_Otimes__class_Otimes(_u131, _u132, _u133) != c_Groups_Ozero__class_Ozero(_u131)) | ( _u132 = c_Groups_Ozero__class_Ozero(_u131)) | ( _u133 = c_Groups_Ozero__class_Ozero(_u131)) )).
% 12.23/12.40 cnf(matrix-172, plain, ( ~class_Rings_Ocomm__semiring__1(_u134) | ( c_Groups_Otimes__class_Otimes(_u134, c_Groups_Otimes__class_Otimes(_u134, _u135, _u136), c_Groups_Otimes__class_Otimes(_u134, _u137, _u138)) = c_Groups_Otimes__class_Otimes(_u134, c_Groups_Otimes__class_Otimes(_u134, _u135, _u137), c_Groups_Otimes__class_Otimes(_u134, _u136, _u138))) )).
% 12.23/12.40 cnf(matrix-173, plain, ( ~class_Rings_Ocomm__semiring__1(_u139) | ( c_Groups_Otimes__class_Otimes(_u139, c_Groups_Otimes__class_Otimes(_u139, _u140, _u141), c_Groups_Otimes__class_Otimes(_u139, _u142, _u143)) = c_Groups_Otimes__class_Otimes(_u139, _u142, c_Groups_Otimes__class_Otimes(_u139, c_Groups_Otimes__class_Otimes(_u139, _u140, _u141), _u143))) )).
% 12.23/12.40 cnf(matrix-174, plain, ( ~class_Rings_Ocomm__semiring__1(_u144) | ( c_Groups_Otimes__class_Otimes(_u144, c_Groups_Otimes__class_Otimes(_u144, _u145, _u146), c_Groups_Otimes__class_Otimes(_u144, _u147, _u148)) = c_Groups_Otimes__class_Otimes(_u144, _u145, c_Groups_Otimes__class_Otimes(_u144, _u146, c_Groups_Otimes__class_Otimes(_u144, _u147, _u148)))) )).
% 12.23/12.40 cnf(matrix-175, plain, ( ~class_Rings_Ocomm__semiring__1(_u149) | ( c_Groups_Otimes__class_Otimes(_u149, c_Groups_Otimes__class_Otimes(_u149, _u150, _u151), _u152) = c_Groups_Otimes__class_Otimes(_u149, c_Groups_Otimes__class_Otimes(_u149, _u150, _u152), _u151)) )).
% 12.23/12.40 cnf(matrix-176, plain, ( ~class_Rings_Ocomm__semiring__1(_u153) | ( c_Groups_Otimes__class_Otimes(_u153, c_Groups_Otimes__class_Otimes(_u153, _u154, _u155), _u156) = c_Groups_Otimes__class_Otimes(_u153, _u154, c_Groups_Otimes__class_Otimes(_u153, _u155, _u156))) )).
% 12.23/12.40 cnf(matrix-177, plain, ( ~class_Rings_Ocomm__semiring__1(_u157) | ( c_Groups_Otimes__class_Otimes(_u157, _u158, c_Groups_Otimes__class_Otimes(_u157, _u159, _u160)) = c_Groups_Otimes__class_Otimes(_u157, c_Groups_Otimes__class_Otimes(_u157, _u158, _u159), _u160)) )).
% 12.23/12.40 cnf(matrix-178, plain, ( ~class_Rings_Ocomm__semiring__1(_u161) | ( c_Groups_Otimes__class_Otimes(_u161, _u162, c_Groups_Otimes__class_Otimes(_u161, _u163, _u164)) = c_Groups_Otimes__class_Otimes(_u161, _u163, c_Groups_Otimes__class_Otimes(_u161, _u162, _u164))) )).
% 12.23/12.40 cnf(matrix-179, plain, ( ~class_Rings_Ocomm__semiring__1(_u165) | ( c_Groups_Otimes__class_Otimes(_u165, _u166, _u167) = c_Groups_Otimes__class_Otimes(_u165, _u167, _u166)) )).
% 12.23/12.40 cnf(matrix-180, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u171) | ( _u171 = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem3(_u171)))) )).
% 12.23/12.40 cnf(matrix-181, plain, ( ( _u172 != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u169))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u172) )).
% 12.23/12.40 cnf(matrix-182, plain, ( ~class_Rings_Ocomm__semiring__1(_u173) | ( c_Power_Opower__class_Opower(_u173, _u174, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u175)) = c_Groups_Otimes__class_Otimes(_u173, c_Power_Opower__class_Opower(_u173, _u174, _u175), c_Power_Opower__class_Opower(_u173, _u174, _u175))) )).
% 12.23/12.40 cnf(matrix-183, plain, ( ~class_Groups_Omonoid__mult(_u176) | ~class_Int_Onumber(_u176) | ( c_Power_Opower__class_Opower(_u176, c_Int_Onumber__class_Onumber__of(_u176, _u177), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_u176, c_Int_Onumber__class_Onumber__of(_u176, _u177), c_Int_Onumber__class_Onumber__of(_u176, _u177))) )).
% 12.23/12.40 cnf(matrix-184, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u181) | ( _u181 = c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem4(_u181))) )).
% 12.23/12.40 cnf(matrix-185, plain, ( ( _u182 != c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u179)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u182) )).
% 12.23/12.40 cnf(matrix-186, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u186, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u186), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u188), _u190)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-187, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u187, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u187), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u189), _u191)) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u187, _u189)), _u191)) )).
% 12.23/12.40 cnf(matrix-188, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u194, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u194), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u196)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.40 cnf(matrix-189, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u195, c_Int_OPls) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u195), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u197)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u195, _u197))) )).
% 12.23/12.40 cnf(matrix-190, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u198) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u198, _u198)) )).
% 12.23/12.40 cnf(matrix-191, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u199, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u199, _u199)) )).
% 12.23/12.40 cnf(matrix-192, plain, ( ~class_Int_Onumber__ring(_u200) | ~c_Int_Oiszero(_u200, c_Int_Onumber__class_Onumber__of(_u200, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.40 cnf(matrix-193, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u202) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u202) )).
% 12.23/12.40 cnf(matrix-194, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u203) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u203) )).
% 12.23/12.40 cnf(matrix-195, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 12.23/12.40 cnf(matrix-196, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u204, _u204) )).
% 12.23/12.40 cnf(matrix-197, plain, ( ~class_Rings_Ocomm__semiring__1(_u205) | c_Rings_Odvd__class_Odvd(_u205, _u206, c_Groups_Ozero__class_Ozero(_u205)) )).
% 12.23/12.40 cnf(matrix-198, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u207) )).
% 12.23/12.40 cnf(matrix-199, plain, ( ~class_Rings_Olinordered__semidom(_u208) | ~c_Orderings_Oord__class_Oless(_u208, c_Groups_Ozero__class_Ozero(_u208), _u209) | ~c_Orderings_Oord__class_Oless(_u208, _u210, _u211) | c_Orderings_Oord__class_Oless(_u208, _u210, c_Groups_Oplus__class_Oplus(_u208, _u209, _u211)) )).
% 12.23/12.40 cnf(matrix-200, plain, ( ~class_Rings_Ocomm__semiring__1(_u212) | c_Rings_Odvd__class_Odvd(_u212, _u213, _u213) )).
% 12.23/12.40 cnf(matrix-201, plain, ( ~class_Rings_Ocomm__semiring__1(_u214) | ( c_Groups_Oplus__class_Oplus(_u214, _u215, _u216) = c_Groups_Oplus__class_Oplus(_u214, _u216, _u215)) )).
% 12.23/12.40 cnf(matrix-202, plain, ( ~class_Rings_Ocomm__semiring__1(_u217) | ( c_Groups_Oplus__class_Oplus(_u217, _u218, c_Groups_Oplus__class_Oplus(_u217, _u219, _u220)) = c_Groups_Oplus__class_Oplus(_u217, _u219, c_Groups_Oplus__class_Oplus(_u217, _u218, _u220))) )).
% 12.23/12.40 cnf(matrix-203, plain, ( ~class_Rings_Ocomm__semiring__1(_u221) | ( c_Groups_Oplus__class_Oplus(_u221, _u222, c_Groups_Oplus__class_Oplus(_u221, _u223, _u224)) = c_Groups_Oplus__class_Oplus(_u221, c_Groups_Oplus__class_Oplus(_u221, _u222, _u223), _u224)) )).
% 12.23/12.40 cnf(matrix-204, plain, ( ~class_Rings_Ocomm__semiring__1(_u225) | ( c_Groups_Oplus__class_Oplus(_u225, c_Groups_Oplus__class_Oplus(_u225, _u226, _u227), _u228) = c_Groups_Oplus__class_Oplus(_u225, _u226, c_Groups_Oplus__class_Oplus(_u225, _u227, _u228))) )).
% 12.23/12.40 cnf(matrix-205, plain, ( ~class_Rings_Ocomm__semiring__1(_u229) | ( c_Groups_Oplus__class_Oplus(_u229, c_Groups_Oplus__class_Oplus(_u229, _u230, _u231), _u232) = c_Groups_Oplus__class_Oplus(_u229, c_Groups_Oplus__class_Oplus(_u229, _u230, _u232), _u231)) )).
% 12.23/12.40 cnf(matrix-206, plain, ( ~class_Rings_Ocomm__semiring__1(_u233) | ( c_Groups_Oplus__class_Oplus(_u233, c_Groups_Oplus__class_Oplus(_u233, _u234, _u235), c_Groups_Oplus__class_Oplus(_u233, _u236, _u237)) = c_Groups_Oplus__class_Oplus(_u233, c_Groups_Oplus__class_Oplus(_u233, _u234, _u236), c_Groups_Oplus__class_Oplus(_u233, _u235, _u237))) )).
% 12.23/12.40 cnf(matrix-207, plain, ( ~class_Rings_Olinordered__idom(_u238) | ( _u239 = _u240) | c_Orderings_Oord__class_Oless(_u238, _u239, _u240) | c_Orderings_Oord__class_Oless(_u238, _u240, _u239) )).
% 12.23/12.40 cnf(matrix-208, plain, ( ~class_Rings_Ocomm__semiring__1(_u241) | ~c_Rings_Odvd__class_Odvd(_u241, _u242, _u243) | ~c_Rings_Odvd__class_Odvd(_u241, _u243, _u244) | c_Rings_Odvd__class_Odvd(_u241, _u242, _u244) )).
% 12.23/12.40 cnf(matrix-209, plain, ( ~class_Rings_Ocomm__semiring__1(_u245) | ~c_Rings_Odvd__class_Odvd(_u245, _u246, _u247) | ~c_Rings_Odvd__class_Odvd(_u245, _u246, _u248) | c_Rings_Odvd__class_Odvd(_u245, _u246, c_Groups_Oplus__class_Oplus(_u245, _u247, _u248)) )).
% 12.23/12.40 cnf(matrix-210, plain, ( ~class_Rings_Ocomm__semiring__1(_u249) | ( c_Groups_Otimes__class_Otimes(_u249, c_Power_Opower__class_Opower(_u249, _u250, _u251), _u250) = c_Power_Opower__class_Opower(_u249, _u250, c_Nat_OSuc(_u251))) )).
% 12.23/12.40 cnf(matrix-211, plain, ( ~class_Rings_Ocomm__semiring__1(_u252) | ( c_Groups_Otimes__class_Otimes(_u252, _u253, c_Power_Opower__class_Opower(_u252, _u253, _u254)) = c_Power_Opower__class_Opower(_u252, _u253, c_Nat_OSuc(_u254))) )).
% 12.23/12.40 cnf(matrix-212, plain, ( ~class_Rings_Ocomm__semiring__1(_u255) | ( c_Power_Opower__class_Opower(_u255, _u256, c_Nat_OSuc(_u257)) = c_Groups_Otimes__class_Otimes(_u255, _u256, c_Power_Opower__class_Opower(_u255, _u256, _u257))) )).
% 12.23/12.40 cnf(matrix-213, plain, ( ~class_Rings_Olinordered__idom(_u258) | ~c_Orderings_Oord__class_Oless(_u258, c_Groups_Oplus__class_Oplus(_u258, _u259, _u259), c_Groups_Ozero__class_Ozero(_u258)) | c_Orderings_Oord__class_Oless(_u258, _u259, c_Groups_Ozero__class_Ozero(_u258)) )).
% 12.23/12.40 cnf(matrix-214, plain, ( ~class_Rings_Olinordered__idom(_u258) | ~c_Orderings_Oord__class_Oless(_u258, _u259, c_Groups_Ozero__class_Ozero(_u258)) | c_Orderings_Oord__class_Oless(_u258, c_Groups_Oplus__class_Oplus(_u258, _u259, _u259), c_Groups_Ozero__class_Ozero(_u258)) )).
% 12.23/12.40 cnf(matrix-215, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u260, _u261) | ( _u260 = _u261) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u261, _u260) )).
% 12.23/12.40 cnf(matrix-216, plain, ( ( _u262 != c_Nat_OSuc(_u262)) )).
% 12.23/12.40 cnf(matrix-217, plain, ( ( c_Nat_OSuc(_u263) != _u263) )).
% 12.23/12.40 cnf(matrix-218, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u264, _u265) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u265, _u264)) )).
% 12.23/12.40 cnf(matrix-219, plain, ( ( _u268 != _u270) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u268, _u270) )).
% 12.23/12.40 cnf(matrix-220, plain, ( ( _u268 != _u270) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u270, _u268) )).
% 12.23/12.40 cnf(matrix-221, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u269, _u271) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u271, _u269) | ( _u269 = _u271) )).
% 12.23/12.40 cnf(matrix-222, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u274, _u276) | ( _u274 = _u276) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u276, _u274) )).
% 12.23/12.40 cnf(matrix-223, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u275, _u277) | ( _u275 != _u277) )).
% 12.23/12.40 cnf(matrix-224, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u278, c_Nat_OSuc(_u279)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u278, _u279))) )).
% 12.23/12.40 cnf(matrix-225, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u282, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u284, _u282)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u282, _u284) )).
% 12.23/12.40 cnf(matrix-226, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u283, _u285) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u283, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u285, _u283)) )).
% 12.23/12.40 cnf(matrix-227, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u286, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u287, _u288)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u287, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u286, _u288))) )).
% 12.23/12.40 cnf(matrix-228, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u289), _u290) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u289, _u290))) )).
% 12.23/12.40 cnf(matrix-229, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u291), _u292) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u291, c_Nat_OSuc(_u292))) )).
% 12.23/12.40 cnf(matrix-230, plain, ( ( c_Nat_OSuc(_u295) != c_Nat_OSuc(_u297)) | ( _u295 = _u297) )).
% 12.23/12.40 cnf(matrix-231, plain, ( ( _u296 != _u298) | ( c_Nat_OSuc(_u296) = c_Nat_OSuc(_u298)) )).
% 12.23/12.40 cnf(matrix-232, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u299, _u300), _u301) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u299, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u300, _u301))) )).
% 12.23/12.40 cnf(matrix-233, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u304, _u306) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u306, _u304) | ( _u304 != _u306) )).
% 12.23/12.40 cnf(matrix-234, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u305, _u307) | ( _u305 = _u307) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u307, _u305) )).
% 12.23/12.40 cnf(matrix-235, plain, ( ( _u313 = _u315) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u311, _u313) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u311, _u315)) )).
% 12.23/12.40 cnf(matrix-236, plain, ( ( _u314 != _u316) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u312, _u314) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u312, _u316)) )).
% 12.23/12.40 cnf(matrix-237, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u320, _u322) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u324, _u322)) | ( _u320 = _u324) )).
% 12.23/12.40 cnf(matrix-238, plain, ( ( _u321 != _u325) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u321, _u323) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u325, _u323)) )).
% 12.23/12.40 cnf(matrix-239, plain, ( ( _u326 = _u327) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u326, _u327) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u327, _u326) )).
% 12.23/12.40 cnf(matrix-240, plain, ( ( _u328 != _u329) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u328, _u329) )).
% 12.23/12.40 cnf(matrix-241, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u330, _u331) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u331, _u330) | ( _u331 = _u330) )).
% 12.23/12.40 cnf(matrix-242, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u330, _u331) | ( _u331 != _u330) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u331, _u330) )).
% 12.23/12.40 cnf(matrix-243, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u332, _u333) | ( _u332 = _u333) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u333, _u332) )).
% 12.23/12.40 cnf(matrix-244, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u334, _u335) | ( _u334 = _u335) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u335, _u334) )).
% 12.23/12.40 cnf(matrix-245, plain, ( ( _u336 != _u337) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u337, _u338) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u336, _u338) )).
% 12.23/12.40 cnf(matrix-246, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u339, _u340) | ( _u340 != _u341) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u339, _u341) )).
% 12.23/12.40 cnf(matrix-247, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u342, _u343) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u343, _u342) | ( _u342 = _u343) )).
% 12.23/12.40 cnf(matrix-248, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u344, _u345) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u345, _u344) | ( _u344 = _u345) )).
% 12.23/12.40 cnf(matrix-249, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u346, _u347) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u347, _u348) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u346, _u348) )).
% 12.23/12.40 cnf(matrix-250, plain, ( ( _u349 != _u350) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u350, _u351) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u351, _u350) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u349, _u351) )).
% 12.23/12.40 cnf(matrix-251, plain, ( ( _u349 != _u350) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u350, _u351) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u351, _u350) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u351, _u349) )).
% 12.23/12.40 cnf(matrix-252, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u352, _u353) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u353, _u354) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u354, _u353) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u352, _u354) )).
% 12.23/12.40 cnf(matrix-253, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u352, _u353) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u353, _u354) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u354, _u353) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u354, _u352) )).
% 12.23/12.40 cnf(matrix-254, plain, ( ( c_Nat_OSuc(_u355) != c_Nat_OSuc(_u356)) | ( _u355 = _u356) )).
% 12.23/12.40 cnf(matrix-255, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u357, _u358) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u358, _u357) | ( _u357 != _u358) )).
% 12.23/12.40 cnf(matrix-256, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u365, _u366) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u366, _u365) | ( _u365 != _u366) )).
% 12.23/12.40 cnf(matrix-257, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u367, _u368) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u368, _u367) | ( _u368 != _u367) )).
% 12.23/12.40 cnf(matrix-258, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u369, _u370) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u370, _u369) | ( _u370 != _u371) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u369, _u371) )).
% 12.23/12.40 cnf(matrix-259, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u369, _u370) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u370, _u369) | ( _u370 != _u371) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u371, _u369) )).
% 12.23/12.40 cnf(matrix-260, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u372, _u373) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u372) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u374) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u372, _u374) )).
% 12.23/12.40 cnf(matrix-261, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u372, _u373) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u372) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u373, _u374) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u374, _u372) )).
% 12.23/12.40 cnf(matrix-262, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u377, _u378) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u377) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u379) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u379, _u378) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u377, _u379) )).
% 12.23/12.40 cnf(matrix-263, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u377, _u378) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u377) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u378, _u379) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u379, _u378) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u379, _u377) )).
% 12.23/12.40 cnf(matrix-264, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u382) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u382, _u383)) )).
% 12.23/12.40 cnf(matrix-265, plain, ( ~class_Rings_Ocomm__semiring__1(_u384) | ( c_Groups_Otimes__class_Otimes(_u384, c_Power_Opower__class_Opower(_u384, _u385, _u386), c_Power_Opower__class_Opower(_u384, _u385, _u387)) = c_Power_Opower__class_Opower(_u384, _u385, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u386, _u387))) )).
% 12.23/12.40 cnf(matrix-266, plain, ( ~class_Int_Onumber__ring(_u388) | ( c_Groups_Oplus__class_Oplus(_u388, c_Int_Onumber__class_Onumber__of(_u388, _u389), c_Groups_Oplus__class_Oplus(_u388, c_Int_Onumber__class_Onumber__of(_u388, _u390), _u391)) = c_Groups_Oplus__class_Oplus(_u388, c_Int_Onumber__class_Onumber__of(_u388, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u389, _u390)), _u391)) )).
% 12.23/12.41 cnf(matrix-267, plain, ( ~class_Int_Onumber__ring(_u392) | ( c_Groups_Oplus__class_Oplus(_u392, c_Int_Onumber__class_Onumber__of(_u392, _u393), c_Int_Onumber__class_Onumber__of(_u392, _u394)) = c_Int_Onumber__class_Onumber__of(_u392, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u393, _u394))) )).
% 12.23/12.41 cnf(matrix-268, plain, ( ~class_Int_Onumber__ring(_u395) | ( c_Int_Onumber__class_Onumber__of(_u395, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u396, _u397)) = c_Groups_Oplus__class_Oplus(_u395, c_Int_Onumber__class_Onumber__of(_u395, _u396), c_Int_Onumber__class_Onumber__of(_u395, _u397))) )).
% 12.23/12.41 cnf(matrix-269, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u399, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u399 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-270, plain, ( ( _u400 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u400, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-271, plain, ( ~class_Int_Onumber__ring(_u401) | ~class_Rings_Olinordered__idom(_u401) | ~c_Orderings_Oord__class_Oless(_u401, c_Int_Onumber__class_Onumber__of(_u401, _u402), c_Int_Onumber__class_Onumber__of(_u401, _u403)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u402, _u403) )).
% 12.23/12.41 cnf(matrix-272, plain, ( ~class_Int_Onumber__ring(_u401) | ~class_Rings_Olinordered__idom(_u401) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u402, _u403) | c_Orderings_Oord__class_Oless(_u401, c_Int_Onumber__class_Onumber__of(_u401, _u402), c_Int_Onumber__class_Onumber__of(_u401, _u403)) )).
% 12.23/12.41 cnf(matrix-273, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u406 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-274, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u406 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u408 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-275, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u406 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-276, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u406, _u408)) | ( _u408 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u408 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-277, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u407, _u409)) | ( _u407 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u409 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-278, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u407, _u409)) | ( _u407 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u409 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-279, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u412 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u412 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-280, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u412 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u414 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-281, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u414 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u412 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-282, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u412, _u414) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u414 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u414 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-283, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u413, _u415) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u413 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u415 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-284, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u413, _u415) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u413 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u415 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-285, plain, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, _u416, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u417, _u418)) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u416, _u417), c_Power_Opower__class_Opower(tc_Int_Oint, _u416, _u418))) )).
% 12.23/12.41 cnf(matrix-286, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u419, c_Nat_OSuc(_u420)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u419, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u419, _u420))) )).
% 12.23/12.41 cnf(matrix-287, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u421), _u422) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u422, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u421, _u422))) )).
% 12.23/12.41 cnf(matrix-288, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u425, _u427)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u425) )).
% 12.23/12.41 cnf(matrix-289, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u425, _u427)) | ( _u427 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-290, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u426) | ( _u428 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u426, _u428)) )).
% 12.23/12.41 cnf(matrix-291, plain, ( ~class_Rings_Olinordered__ring__strict(_u429) | ~c_Orderings_Oord__class_Oless(_u429, c_Groups_Ozero__class_Ozero(_u429), c_Groups_Oplus__class_Oplus(_u429, c_Groups_Otimes__class_Otimes(_u429, _u430, _u430), c_Groups_Otimes__class_Otimes(_u429, _u431, _u431))) | ( _u430 != c_Groups_Ozero__class_Ozero(_u429)) | ( _u431 != c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.23/12.41 cnf(matrix-292, plain, ( ~class_Rings_Olinordered__ring__strict(_u429) | c_Orderings_Oord__class_Oless(_u429, c_Groups_Ozero__class_Ozero(_u429), c_Groups_Oplus__class_Oplus(_u429, c_Groups_Otimes__class_Otimes(_u429, _u430, _u430), c_Groups_Otimes__class_Otimes(_u429, _u431, _u431))) | ( _u430 = c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.23/12.41 cnf(matrix-293, plain, ( ~class_Rings_Olinordered__ring__strict(_u429) | c_Orderings_Oord__class_Oless(_u429, c_Groups_Ozero__class_Ozero(_u429), c_Groups_Oplus__class_Oplus(_u429, c_Groups_Otimes__class_Otimes(_u429, _u430, _u430), c_Groups_Otimes__class_Otimes(_u429, _u431, _u431))) | ( _u431 = c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.23/12.41 cnf(matrix-294, plain, ( ~class_Rings_Olinordered__ring(_u432) | ~c_Orderings_Oord__class_Oless(_u432, c_Groups_Oplus__class_Oplus(_u432, c_Groups_Otimes__class_Otimes(_u432, _u433, _u433), c_Groups_Otimes__class_Otimes(_u432, _u434, _u434)), c_Groups_Ozero__class_Ozero(_u432)) )).
% 12.23/12.41 cnf(matrix-295, plain, ( ~class_Rings_Olinordered__idom(_u435) | ~c_Orderings_Oord__class_Oless(_u435, c_Power_Opower__class_Opower(_u435, _u436, _u437), c_Groups_Ozero__class_Ozero(_u435)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u437) )).
% 12.23/12.41 cnf(matrix-296, plain, ( ~class_Rings_Olinordered__idom(_u435) | ~c_Orderings_Oord__class_Oless(_u435, c_Power_Opower__class_Opower(_u435, _u436, _u437), c_Groups_Ozero__class_Ozero(_u435)) | c_Orderings_Oord__class_Oless(_u435, _u436, c_Groups_Ozero__class_Ozero(_u435)) )).
% 12.23/12.41 cnf(matrix-297, plain, ( ~class_Rings_Olinordered__idom(_u435) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u437) | ~c_Orderings_Oord__class_Oless(_u435, _u436, c_Groups_Ozero__class_Ozero(_u435)) | c_Orderings_Oord__class_Oless(_u435, c_Power_Opower__class_Opower(_u435, _u436, _u437), c_Groups_Ozero__class_Ozero(_u435)) )).
% 12.23/12.41 cnf(matrix-298, plain, ( ~class_Rings_Ocomm__semiring__1(_u438) | ~c_Rings_Odvd__class_Odvd(_u438, c_Groups_Ozero__class_Ozero(_u438), _u439) | ( _u439 = c_Groups_Ozero__class_Ozero(_u438)) )).
% 12.23/12.41 cnf(matrix-299, plain, ( ~class_Rings_Ocomm__semiring__1(_u440) | c_Rings_Odvd__class_Odvd(_u440, _u441, c_Groups_Otimes__class_Otimes(_u440, _u441, _u442)) )).
% 12.23/12.41 cnf(matrix-300, plain, ( ~class_Rings_Ocomm__semiring__1(_u443) | c_Rings_Odvd__class_Odvd(_u443, _u444, c_Groups_Otimes__class_Otimes(_u443, _u445, _u444)) )).
% 12.23/12.41 cnf(matrix-301, plain, ( ~class_Rings_Ocomm__semiring__1(_u446) | ~c_Rings_Odvd__class_Odvd(_u446, _u447, _u448) | c_Rings_Odvd__class_Odvd(_u446, _u447, c_Groups_Otimes__class_Otimes(_u446, _u448, _u449)) )).
% 12.23/12.41 cnf(matrix-302, plain, ( ~class_Rings_Ocomm__semiring__1(_u450) | ~c_Rings_Odvd__class_Odvd(_u450, _u451, _u452) | c_Rings_Odvd__class_Odvd(_u450, _u451, c_Groups_Otimes__class_Otimes(_u450, _u453, _u452)) )).
% 12.23/12.41 cnf(matrix-303, plain, ( ~class_Rings_Ocomm__semiring__1(_u454) | ~c_Rings_Odvd__class_Odvd(_u454, _u455, _u456) | ~c_Rings_Odvd__class_Odvd(_u454, _u457, _u458) | c_Rings_Odvd__class_Odvd(_u454, c_Groups_Otimes__class_Otimes(_u454, _u455, _u457), c_Groups_Otimes__class_Otimes(_u454, _u456, _u458)) )).
% 12.23/12.41 cnf(matrix-304, plain, ( ~class_Rings_Odvd(_u459) | ( _u460 != c_Groups_Otimes__class_Otimes(_u459, _u461, _u462)) | c_Rings_Odvd__class_Odvd(_u459, _u461, _u460) )).
% 12.23/12.41 cnf(matrix-305, plain, ( ~class_Rings_Ocomm__semiring__1(_u463) | ~c_Rings_Odvd__class_Odvd(_u463, c_Groups_Otimes__class_Otimes(_u463, _u464, _u465), _u466) | c_Rings_Odvd__class_Odvd(_u463, _u464, _u466) )).
% 12.23/12.41 cnf(matrix-306, plain, ( ~class_Rings_Ocomm__semiring__1(_u467) | ~c_Rings_Odvd__class_Odvd(_u467, c_Groups_Otimes__class_Otimes(_u467, _u468, _u469), _u470) | c_Rings_Odvd__class_Odvd(_u467, _u469, _u470) )).
% 12.23/12.41 cnf(matrix-307, plain, ( ~class_Rings_Ocomm__semiring__1(_u471) | ( c_Power_Opower__class_Opower(_u471, c_Groups_Otimes__class_Otimes(_u471, _u472, _u473), _u474) = c_Groups_Otimes__class_Otimes(_u471, c_Power_Opower__class_Opower(_u471, _u472, _u474), c_Power_Opower__class_Opower(_u471, _u473, _u474))) )).
% 12.23/12.41 cnf(matrix-308, plain, ( ~class_Groups_Olinordered__ab__group__add(_u475) | ( c_Groups_Oplus__class_Oplus(_u475, _u476, _u476) != c_Groups_Ozero__class_Ozero(_u475)) | ( _u476 = c_Groups_Ozero__class_Ozero(_u475)) )).
% 12.23/12.41 cnf(matrix-309, plain, ( ~class_Groups_Olinordered__ab__group__add(_u475) | ( _u476 != c_Groups_Ozero__class_Ozero(_u475)) | ( c_Groups_Oplus__class_Oplus(_u475, _u476, _u476) = c_Groups_Ozero__class_Ozero(_u475)) )).
% 12.23/12.41 cnf(matrix-310, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u477) | ( _u478 != c_Groups_Oplus__class_Oplus(_u477, _u478, _u479)) | ( _u479 = c_Groups_Ozero__class_Ozero(_u477)) )).
% 12.23/12.41 cnf(matrix-311, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u477) | ( _u479 != c_Groups_Ozero__class_Ozero(_u477)) | ( _u478 = c_Groups_Oplus__class_Oplus(_u477, _u478, _u479)) )).
% 12.23/12.41 cnf(matrix-312, plain, ( ~class_Rings_Ocomm__semiring__1(_u480) | ( c_Groups_Oplus__class_Oplus(_u480, _u481, c_Groups_Ozero__class_Ozero(_u480)) = _u481) )).
% 12.23/12.41 cnf(matrix-313, plain, ( ~class_Rings_Ocomm__semiring__1(_u482) | ( c_Groups_Oplus__class_Oplus(_u482, c_Groups_Ozero__class_Ozero(_u482), _u483) = _u483) )).
% 12.23/12.41 cnf(matrix-314, plain, ( ~class_RealVector_Oreal__normed__algebra(_u484) | ( c_Groups_Otimes__class_Otimes(_u484, _u485, c_Groups_Oplus__class_Oplus(_u484, _u486, _u487)) = c_Groups_Oplus__class_Oplus(_u484, c_Groups_Otimes__class_Otimes(_u484, _u485, _u486), c_Groups_Otimes__class_Otimes(_u484, _u485, _u487))) )).
% 12.23/12.41 cnf(matrix-315, plain, ( ~class_Rings_Ocomm__semiring__1(_u488) | ( c_Groups_Otimes__class_Otimes(_u488, _u489, c_Groups_Oplus__class_Oplus(_u488, _u490, _u491)) = c_Groups_Oplus__class_Oplus(_u488, c_Groups_Otimes__class_Otimes(_u488, _u489, _u490), c_Groups_Otimes__class_Otimes(_u488, _u489, _u491))) )).
% 12.23/12.41 cnf(matrix-316, plain, ( ~class_RealVector_Oreal__normed__algebra(_u492) | ( c_Groups_Otimes__class_Otimes(_u492, _u493, c_Groups_Oplus__class_Oplus(_u492, _u494, _u495)) = c_Groups_Oplus__class_Oplus(_u492, c_Groups_Otimes__class_Otimes(_u492, _u493, _u494), c_Groups_Otimes__class_Otimes(_u492, _u493, _u495))) )).
% 12.23/12.41 cnf(matrix-317, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u496) | ( _u497 = _u498) | ( _u499 = _u500) | ( c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u499), c_Groups_Otimes__class_Otimes(_u496, _u498, _u500)) != c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u500), c_Groups_Otimes__class_Otimes(_u496, _u498, _u499))) )).
% 12.23/12.41 cnf(matrix-318, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u496) | ( c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u499), c_Groups_Otimes__class_Otimes(_u496, _u498, _u500)) = c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u500), c_Groups_Otimes__class_Otimes(_u496, _u498, _u499))) | ( _u497 != _u498) )).
% 12.23/12.41 cnf(matrix-319, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u496) | ( c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u499), c_Groups_Otimes__class_Otimes(_u496, _u498, _u500)) = c_Groups_Oplus__class_Oplus(_u496, c_Groups_Otimes__class_Otimes(_u496, _u497, _u500), c_Groups_Otimes__class_Otimes(_u496, _u498, _u499))) | ( _u499 != _u500) )).
% 12.23/12.41 cnf(matrix-320, plain, ( ~class_Rings_Ocomm__semiring(_u501) | ( c_Groups_Otimes__class_Otimes(_u501, c_Groups_Oplus__class_Oplus(_u501, _u502, _u503), _u504) = c_Groups_Oplus__class_Oplus(_u501, c_Groups_Otimes__class_Otimes(_u501, _u502, _u504), c_Groups_Otimes__class_Otimes(_u501, _u503, _u504))) )).
% 12.23/12.41 cnf(matrix-321, plain, ( ~class_Rings_Ocomm__semiring__1(_u505) | ( c_Groups_Otimes__class_Otimes(_u505, c_Groups_Oplus__class_Oplus(_u505, _u506, _u507), _u508) = c_Groups_Oplus__class_Oplus(_u505, c_Groups_Otimes__class_Otimes(_u505, _u506, _u508), c_Groups_Otimes__class_Otimes(_u505, _u507, _u508))) )).
% 12.23/12.41 cnf(matrix-322, plain, ( ~class_RealVector_Oreal__normed__algebra(_u509) | ( c_Groups_Otimes__class_Otimes(_u509, c_Groups_Oplus__class_Oplus(_u509, _u510, _u511), _u512) = c_Groups_Oplus__class_Oplus(_u509, c_Groups_Otimes__class_Otimes(_u509, _u510, _u512), c_Groups_Otimes__class_Otimes(_u509, _u511, _u512))) )).
% 12.23/12.41 cnf(matrix-323, plain, ( ~class_RealVector_Oreal__normed__algebra(_u513) | ( c_Groups_Otimes__class_Otimes(_u513, c_Groups_Oplus__class_Oplus(_u513, _u514, _u515), _u516) = c_Groups_Oplus__class_Oplus(_u513, c_Groups_Otimes__class_Otimes(_u513, _u514, _u516), c_Groups_Otimes__class_Otimes(_u513, _u515, _u516))) )).
% 12.23/12.41 cnf(matrix-324, plain, ( ~class_Rings_Ocomm__semiring__1(_u517) | ( c_Groups_Oplus__class_Oplus(_u517, c_Groups_Otimes__class_Otimes(_u517, _u518, _u519), c_Groups_Otimes__class_Otimes(_u517, _u520, _u519)) = c_Groups_Otimes__class_Otimes(_u517, c_Groups_Oplus__class_Oplus(_u517, _u518, _u520), _u519)) )).
% 12.23/12.41 cnf(matrix-325, plain, ( ~class_Rings_Osemiring(_u521) | ( c_Groups_Oplus__class_Oplus(_u521, c_Groups_Otimes__class_Otimes(_u521, _u522, _u523), c_Groups_Oplus__class_Oplus(_u521, c_Groups_Otimes__class_Otimes(_u521, _u524, _u523), _u525)) = c_Groups_Oplus__class_Oplus(_u521, c_Groups_Otimes__class_Otimes(_u521, c_Groups_Oplus__class_Oplus(_u521, _u522, _u524), _u523), _u525)) )).
% 12.23/12.41 cnf(matrix-326, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u526) | ( c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u528), c_Groups_Otimes__class_Otimes(_u526, _u529, _u530)) != c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u530), c_Groups_Otimes__class_Otimes(_u526, _u529, _u528))) | ( _u527 = _u529) | ( _u528 = _u530) )).
% 12.23/12.41 cnf(matrix-327, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u526) | ( c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u528), c_Groups_Otimes__class_Otimes(_u526, _u529, _u530)) = c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u530), c_Groups_Otimes__class_Otimes(_u526, _u529, _u528))) | ( _u527 != _u529) )).
% 12.23/12.41 cnf(matrix-328, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u526) | ( c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u528), c_Groups_Otimes__class_Otimes(_u526, _u529, _u530)) = c_Groups_Oplus__class_Oplus(_u526, c_Groups_Otimes__class_Otimes(_u526, _u527, _u530), c_Groups_Otimes__class_Otimes(_u526, _u529, _u528))) | ( _u528 != _u530) )).
% 12.23/12.41 cnf(matrix-329, plain, ( ( c_Nat_OSuc(_u531) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-330, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u532)) )).
% 12.23/12.41 cnf(matrix-331, plain, ( ( c_Nat_OSuc(_u533) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-332, plain, ( ( c_Nat_OSuc(_u534) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-333, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u535)) )).
% 12.23/12.41 cnf(matrix-334, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u536)) )).
% 12.23/12.41 cnf(matrix-335, plain, ( ~class_Rings_Ocomm__semiring__1(_u537) | ( c_Power_Opower__class_Opower(_u537, c_Power_Opower__class_Opower(_u537, _u538, _u539), _u540) = c_Power_Opower__class_Opower(_u537, _u538, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u539, _u540))) )).
% 12.23/12.41 cnf(matrix-336, plain, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u541, _u542), _u543) = c_Power_Opower__class_Opower(tc_Int_Oint, _u541, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u542, _u543))) )).
% 12.23/12.41 cnf(matrix-337, plain, ( ( _u545 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u544, _u545) != _u544) )).
% 12.23/12.41 cnf(matrix-338, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u548, _u550) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u548 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-339, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u548, _u550) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u550 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-340, plain, ( ( _u549 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u551 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u549, _u551) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-341, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u552, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u552) )).
% 12.23/12.41 cnf(matrix-342, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u553) = _u553) )).
% 12.23/12.41 cnf(matrix-343, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u556), c_Int_OBit1(_u558)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u556, _u558) )).
% 12.23/12.41 cnf(matrix-344, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u557, _u559) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u557), c_Int_OBit1(_u559)) )).
% 12.23/12.41 cnf(matrix-345, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u562), c_Int_OBit1(_u564)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u562, _u564) )).
% 12.23/12.41 cnf(matrix-346, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u563, _u565) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u563), c_Int_OBit1(_u565)) )).
% 12.23/12.41 cnf(matrix-347, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-348, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u568), c_Int_OBit0(_u570)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u568, _u570) )).
% 12.23/12.41 cnf(matrix-349, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u569, _u571) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u569), c_Int_OBit0(_u571)) )).
% 12.23/12.41 cnf(matrix-350, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u574), c_Int_OBit0(_u576)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u574, _u576) )).
% 12.23/12.41 cnf(matrix-351, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u575, _u577) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u575), c_Int_OBit0(_u577)) )).
% 12.23/12.41 cnf(matrix-352, plain, ( ( _u583 = _u585) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u581), _u583) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u581), _u585)) )).
% 12.23/12.41 cnf(matrix-353, plain, ( ( _u584 != _u586) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u582), _u584) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u582), _u586)) )).
% 12.23/12.41 cnf(matrix-354, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u587, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u588, _u589)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u587, _u588), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u587, _u589))) )).
% 12.23/12.41 cnf(matrix-355, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u590, _u591), _u592) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u590, _u592), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u591, _u592))) )).
% 12.23/12.41 cnf(matrix-356, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u593, _u594), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u595, _u594), _u596)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u593, _u595), _u594), _u596)) )).
% 12.23/12.41 cnf(matrix-357, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u599), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u601)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u599, _u601) )).
% 12.23/12.41 cnf(matrix-358, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u600, _u602) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u600), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u602)) )).
% 12.23/12.41 cnf(matrix-359, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Nat_OSuc(_u604)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u604) )).
% 12.23/12.41 cnf(matrix-360, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u605) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Nat_OSuc(_u605)) )).
% 12.23/12.41 cnf(matrix-361, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u608, _u610)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u608) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u610) )).
% 12.23/12.41 cnf(matrix-362, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u608, _u610)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u610) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u608) )).
% 12.23/12.41 cnf(matrix-363, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u609, _u611)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u609) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u611) )).
% 12.23/12.41 cnf(matrix-364, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u609, _u611)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u609) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u611) )).
% 12.23/12.41 cnf(matrix-365, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u614, _u616)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u614) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u616) )).
% 12.23/12.41 cnf(matrix-366, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u614, _u616)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u616) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u614) )).
% 12.23/12.41 cnf(matrix-367, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u615, _u617)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u615) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u617) )).
% 12.23/12.41 cnf(matrix-368, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u615, _u617)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u617) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u615) )).
% 12.23/12.41 cnf(matrix-369, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u620, _u622)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u620) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u622) )).
% 12.23/12.41 cnf(matrix-370, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u620, _u622)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u622) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u620) )).
% 12.23/12.41 cnf(matrix-371, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u621, _u623)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u621) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u623) )).
% 12.23/12.41 cnf(matrix-372, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u621, _u623)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u623) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u621) )).
% 12.23/12.41 cnf(matrix-373, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-374, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u624) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u625) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u624, _u625)) )).
% 12.23/12.41 cnf(matrix-375, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u626) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u627, _u626)) )).
% 12.23/12.41 cnf(matrix-376, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u628) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u628, _u629)) )).
% 12.23/12.41 cnf(matrix-377, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u632, _u634)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u632) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u634) )).
% 12.23/12.41 cnf(matrix-378, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u633, _u635)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u633) )).
% 12.23/12.41 cnf(matrix-379, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u633, _u635)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u635) )).
% 12.23/12.41 cnf(matrix-380, plain, ( ~class_Int_Onumber__ring(_u636) | ~class_Rings_Olinordered__idom(_u636) | ~c_Orderings_Oord__class_Oless(_u636, c_Groups_Ozero__class_Ozero(_u636), c_Int_Onumber__class_Onumber__of(_u636, _u637)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u637) )).
% 12.23/12.41 cnf(matrix-381, plain, ( ~class_Int_Onumber__ring(_u636) | ~class_Rings_Olinordered__idom(_u636) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u637) | c_Orderings_Oord__class_Oless(_u636, c_Groups_Ozero__class_Ozero(_u636), c_Int_Onumber__class_Onumber__of(_u636, _u637)) )).
% 12.23/12.41 cnf(matrix-382, plain, ( ~class_Int_Onumber__ring(_u638) | ~class_Rings_Olinordered__idom(_u638) | ~c_Orderings_Oord__class_Oless(_u638, c_Int_Onumber__class_Onumber__of(_u638, _u639), c_Groups_Ozero__class_Ozero(_u638)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u639, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-383, plain, ( ~class_Int_Onumber__ring(_u638) | ~class_Rings_Olinordered__idom(_u638) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u639, c_Int_OPls) | c_Orderings_Oord__class_Oless(_u638, c_Int_Onumber__class_Onumber__of(_u638, _u639), c_Groups_Ozero__class_Ozero(_u638)) )).
% 12.23/12.41 cnf(matrix-384, plain, ( ~class_Rings_Olinordered__idom(_u640) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), _u641) )).
% 12.23/12.41 cnf(matrix-385, plain, ( ~class_Rings_Olinordered__idom(_u640) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u641 != c_Groups_Ozero__class_Ozero(_u640)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) )).
% 12.23/12.41 cnf(matrix-386, plain, ( ~class_Rings_Olinordered__idom(_u640) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u641 != c_Groups_Ozero__class_Ozero(_u640)) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), _u641) )).
% 12.23/12.41 cnf(matrix-387, plain, ( ~class_Rings_Olinordered__idom(_u640) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ( _u642 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-388, plain, ( ~class_Rings_Olinordered__idom(_u640) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) | ( _u641 = c_Groups_Ozero__class_Ozero(_u640)) )).
% 12.23/12.41 cnf(matrix-389, plain, ( ~class_Rings_Olinordered__idom(_u640) | c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), c_Power_Opower__class_Opower(_u640, _u641, _u642)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u642) | ~c_Orderings_Oord__class_Oless(_u640, c_Groups_Ozero__class_Ozero(_u640), _u641) )).
% 12.23/12.41 cnf(matrix-390, plain, ( ~class_Rings_Olinordered__idom(_u643) | ~c_Orderings_Oord__class_Oless(_u643, c_Power_Opower__class_Opower(_u643, _u644, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)), c_Groups_Ozero__class_Ozero(_u643)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)) )).
% 12.23/12.41 cnf(matrix-391, plain, ( ~class_Rings_Olinordered__idom(_u643) | ~c_Orderings_Oord__class_Oless(_u643, c_Power_Opower__class_Opower(_u643, _u644, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)), c_Groups_Ozero__class_Ozero(_u643)) | c_Orderings_Oord__class_Oless(_u643, _u644, c_Groups_Ozero__class_Ozero(_u643)) )).
% 12.23/12.41 cnf(matrix-392, plain, ( ~class_Rings_Olinordered__idom(_u643) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)) | ~c_Orderings_Oord__class_Oless(_u643, _u644, c_Groups_Ozero__class_Ozero(_u643)) | c_Orderings_Oord__class_Oless(_u643, c_Power_Opower__class_Opower(_u643, _u644, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u645)), c_Groups_Ozero__class_Ozero(_u643)) )).
% 12.23/12.41 cnf(matrix-393, plain, ( ( c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(_u646))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls))), _u646)) )).
% 12.23/12.41 cnf(matrix-394, plain, ( ~class_Rings_Olinordered__idom(_u647) | ~c_Orderings_Oord__class_Oless(_u647, c_Groups_Oplus__class_Oplus(_u647, c_Power_Opower__class_Opower(_u647, _u648, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u647, _u649, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u647)) )).
% 12.23/12.41 cnf(matrix-395, plain, ( ~class_Rings_Olinordered__idom(_u650) | ~c_Orderings_Oord__class_Oless(_u650, c_Groups_Ozero__class_Ozero(_u650), c_Groups_Oplus__class_Oplus(_u650, c_Power_Opower__class_Opower(_u650, _u651, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u650, _u652, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u651 != c_Groups_Ozero__class_Ozero(_u650)) | ( _u652 != c_Groups_Ozero__class_Ozero(_u650)) )).
% 12.23/12.41 cnf(matrix-396, plain, ( ~class_Rings_Olinordered__idom(_u650) | c_Orderings_Oord__class_Oless(_u650, c_Groups_Ozero__class_Ozero(_u650), c_Groups_Oplus__class_Oplus(_u650, c_Power_Opower__class_Opower(_u650, _u651, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u650, _u652, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u651 = c_Groups_Ozero__class_Ozero(_u650)) )).
% 12.23/12.41 cnf(matrix-397, plain, ( ~class_Rings_Olinordered__idom(_u650) | c_Orderings_Oord__class_Oless(_u650, c_Groups_Ozero__class_Ozero(_u650), c_Groups_Oplus__class_Oplus(_u650, c_Power_Opower__class_Opower(_u650, _u651, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u650, _u652, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u652 = c_Groups_Ozero__class_Ozero(_u650)) )).
% 12.23/12.41 cnf(matrix-398, plain, ( ~class_Rings_Oidom(_u653) | ~c_Rings_Odvd__class_Odvd(_u653, c_Groups_Otimes__class_Otimes(_u653, _u654, _u655), c_Groups_Otimes__class_Otimes(_u653, _u654, _u656)) | ( _u654 = c_Groups_Ozero__class_Ozero(_u653)) | c_Rings_Odvd__class_Odvd(_u653, _u655, _u656) )).
% 12.23/12.41 cnf(matrix-399, plain, ( ~class_Rings_Oidom(_u653) | c_Rings_Odvd__class_Odvd(_u653, c_Groups_Otimes__class_Otimes(_u653, _u654, _u655), c_Groups_Otimes__class_Otimes(_u653, _u654, _u656)) | ( _u654 != c_Groups_Ozero__class_Ozero(_u653)) )).
% 12.23/12.41 cnf(matrix-400, plain, ( ~class_Rings_Oidom(_u653) | c_Rings_Odvd__class_Odvd(_u653, c_Groups_Otimes__class_Otimes(_u653, _u654, _u655), c_Groups_Otimes__class_Otimes(_u653, _u654, _u656)) | ~c_Rings_Odvd__class_Odvd(_u653, _u655, _u656) )).
% 12.23/12.41 cnf(matrix-401, plain, ( ~class_Rings_Oidom(_u657) | ~c_Rings_Odvd__class_Odvd(_u657, c_Groups_Otimes__class_Otimes(_u657, _u658, _u659), c_Groups_Otimes__class_Otimes(_u657, _u660, _u659)) | ( _u659 = c_Groups_Ozero__class_Ozero(_u657)) | c_Rings_Odvd__class_Odvd(_u657, _u658, _u660) )).
% 12.23/12.41 cnf(matrix-402, plain, ( ~class_Rings_Oidom(_u657) | c_Rings_Odvd__class_Odvd(_u657, c_Groups_Otimes__class_Otimes(_u657, _u658, _u659), c_Groups_Otimes__class_Otimes(_u657, _u660, _u659)) | ( _u659 != c_Groups_Ozero__class_Ozero(_u657)) )).
% 12.23/12.41 cnf(matrix-403, plain, ( ~class_Rings_Oidom(_u657) | c_Rings_Odvd__class_Odvd(_u657, c_Groups_Otimes__class_Otimes(_u657, _u658, _u659), c_Groups_Otimes__class_Otimes(_u657, _u660, _u659)) | ~c_Rings_Odvd__class_Odvd(_u657, _u658, _u660) )).
% 12.23/12.41 cnf(matrix-404, plain, ( ~class_Rings_Olinordered__idom(_u661) | ~c_Orderings_Oord__class_Oless(_u661, _u662, c_Groups_Ozero__class_Ozero(_u661)) | c_Orderings_Oord__class_Oless(_u661, c_Power_Opower__class_Opower(_u661, _u662, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u663))), c_Groups_Ozero__class_Ozero(_u661)) )).
% 12.23/12.41 cnf(matrix-405, plain, ( ~class_Rings_Osemiring__1(_u664) | ~c_Int_Oiszero(_u664, _u665) | ( _u665 = c_Groups_Ozero__class_Ozero(_u664)) )).
% 12.23/12.41 cnf(matrix-406, plain, ( ~class_Rings_Osemiring__1(_u664) | ( _u665 != c_Groups_Ozero__class_Ozero(_u664)) | c_Int_Oiszero(_u664, _u665) )).
% 12.23/12.41 cnf(matrix-407, plain, ( ~class_Rings_Osemiring__1(_u666) | c_Int_Oiszero(_u666, c_Groups_Ozero__class_Ozero(_u666)) )).
% 12.23/12.41 cnf(matrix-408, plain, ( ~class_Rings_Olinordered__idom(_u667) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), _u668) )).
% 12.23/12.41 cnf(matrix-409, plain, ( ~class_Rings_Olinordered__idom(_u667) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u668 != c_Groups_Ozero__class_Ozero(_u667)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) )).
% 12.23/12.41 cnf(matrix-410, plain, ( ~class_Rings_Olinordered__idom(_u667) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u668 != c_Groups_Ozero__class_Ozero(_u667)) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), _u668) )).
% 12.23/12.41 cnf(matrix-411, plain, ( ~class_Rings_Olinordered__idom(_u667) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-412, plain, ( ~class_Rings_Olinordered__idom(_u667) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) | ( _u668 = c_Groups_Ozero__class_Ozero(_u667)) )).
% 12.23/12.41 cnf(matrix-413, plain, ( ~class_Rings_Olinordered__idom(_u667) | c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), c_Power_Opower__class_Opower(_u667, _u668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u669)) | ~c_Orderings_Oord__class_Oless(_u667, c_Groups_Ozero__class_Ozero(_u667), _u668) )).
% 12.23/12.41 cnf(matrix-414, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u670, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Nat_OSuc(c_Nat_OSuc(_u670))) )).
% 12.23/12.41 cnf(matrix-415, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u671) = c_Nat_OSuc(c_Nat_OSuc(_u671))) )).
% 12.23/12.41 cnf(matrix-416, plain, ( ~class_Rings_Olinordered__ring__strict(_u672) | ( c_Groups_Oplus__class_Oplus(_u672, c_Groups_Otimes__class_Otimes(_u672, _u673, _u673), c_Groups_Otimes__class_Otimes(_u672, _u674, _u674)) != c_Groups_Ozero__class_Ozero(_u672)) | ( _u673 = c_Groups_Ozero__class_Ozero(_u672)) )).
% 12.23/12.41 cnf(matrix-417, plain, ( ~class_Rings_Olinordered__ring__strict(_u672) | ( c_Groups_Oplus__class_Oplus(_u672, c_Groups_Otimes__class_Otimes(_u672, _u673, _u673), c_Groups_Otimes__class_Otimes(_u672, _u674, _u674)) != c_Groups_Ozero__class_Ozero(_u672)) | ( _u674 = c_Groups_Ozero__class_Ozero(_u672)) )).
% 12.23/12.41 cnf(matrix-418, plain, ( ~class_Rings_Olinordered__ring__strict(_u672) | ( _u673 != c_Groups_Ozero__class_Ozero(_u672)) | ( _u674 != c_Groups_Ozero__class_Ozero(_u672)) | ( c_Groups_Oplus__class_Oplus(_u672, c_Groups_Otimes__class_Otimes(_u672, _u673, _u673), c_Groups_Otimes__class_Otimes(_u672, _u674, _u674)) = c_Groups_Ozero__class_Ozero(_u672)) )).
% 12.23/12.41 cnf(matrix-419, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u675) | ( _u676 = c_Groups_Ozero__class_Ozero(_u675)) | ( _u677 != _u678) | ( _u679 = _u680) | ( c_Groups_Oplus__class_Oplus(_u675, _u677, c_Groups_Otimes__class_Otimes(_u675, _u676, _u679)) != c_Groups_Oplus__class_Oplus(_u675, _u678, c_Groups_Otimes__class_Otimes(_u675, _u676, _u680))) )).
% 12.23/12.41 cnf(matrix-420, plain, ( ~class_Int_Onumber(_u681) | ~class_Rings_Osemiring(_u681) | ( c_Groups_Otimes__class_Otimes(_u681, c_Int_Onumber__class_Onumber__of(_u681, _u682), c_Groups_Oplus__class_Oplus(_u681, _u683, _u684)) = c_Groups_Oplus__class_Oplus(_u681, c_Groups_Otimes__class_Otimes(_u681, c_Int_Onumber__class_Onumber__of(_u681, _u682), _u683), c_Groups_Otimes__class_Otimes(_u681, c_Int_Onumber__class_Onumber__of(_u681, _u682), _u684))) )).
% 12.23/12.41 cnf(matrix-421, plain, ( ~class_Int_Onumber(_u685) | ~class_Rings_Osemiring(_u685) | ( c_Groups_Otimes__class_Otimes(_u685, c_Groups_Oplus__class_Oplus(_u685, _u686, _u687), c_Int_Onumber__class_Onumber__of(_u685, _u688)) = c_Groups_Oplus__class_Oplus(_u685, c_Groups_Otimes__class_Otimes(_u685, _u686, c_Int_Onumber__class_Onumber__of(_u685, _u688)), c_Groups_Otimes__class_Otimes(_u685, _u687, c_Int_Onumber__class_Onumber__of(_u685, _u688)))) )).
% 12.23/12.41 cnf(matrix-422, plain, ( ~class_Rings_Olinordered__ring__strict(_u689) | ~c_Orderings_Oord__class_Oless(_u689, _u690, _u691) | ~c_Orderings_Oord__class_Oless(_u689, _u692, c_Groups_Ozero__class_Ozero(_u689)) | c_Orderings_Oord__class_Oless(_u689, c_Groups_Otimes__class_Otimes(_u689, _u692, _u691), c_Groups_Otimes__class_Otimes(_u689, _u692, _u690)) )).
% 12.23/12.41 cnf(matrix-423, plain, ( ~class_Rings_Olinordered__ring__strict(_u693) | ~c_Orderings_Oord__class_Oless(_u693, _u694, _u695) | ~c_Orderings_Oord__class_Oless(_u693, _u696, c_Groups_Ozero__class_Ozero(_u693)) | c_Orderings_Oord__class_Oless(_u693, c_Groups_Otimes__class_Otimes(_u693, _u695, _u696), c_Groups_Otimes__class_Otimes(_u693, _u694, _u696)) )).
% 12.23/12.41 cnf(matrix-424, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u697) | ~c_Orderings_Oord__class_Oless(_u697, _u698, _u699) | ~c_Orderings_Oord__class_Oless(_u697, c_Groups_Ozero__class_Ozero(_u697), _u700) | c_Orderings_Oord__class_Oless(_u697, c_Groups_Otimes__class_Otimes(_u697, _u700, _u698), c_Groups_Otimes__class_Otimes(_u697, _u700, _u699)) )).
% 12.23/12.41 cnf(matrix-425, plain, ( ~class_Rings_Olinordered__semiring__strict(_u701) | ~c_Orderings_Oord__class_Oless(_u701, _u702, _u703) | ~c_Orderings_Oord__class_Oless(_u701, c_Groups_Ozero__class_Ozero(_u701), _u704) | c_Orderings_Oord__class_Oless(_u701, c_Groups_Otimes__class_Otimes(_u701, _u704, _u702), c_Groups_Otimes__class_Otimes(_u701, _u704, _u703)) )).
% 12.23/12.41 cnf(matrix-426, plain, ( ~class_Rings_Olinordered__semiring__strict(_u705) | ~c_Orderings_Oord__class_Oless(_u705, _u706, _u707) | ~c_Orderings_Oord__class_Oless(_u705, c_Groups_Ozero__class_Ozero(_u705), _u708) | c_Orderings_Oord__class_Oless(_u705, c_Groups_Otimes__class_Otimes(_u705, _u706, _u708), c_Groups_Otimes__class_Otimes(_u705, _u707, _u708)) )).
% 12.23/12.41 cnf(matrix-427, plain, ( ~class_Rings_Olinordered__ring__strict(_u709) | ~c_Orderings_Oord__class_Oless(_u709, _u710, c_Groups_Ozero__class_Ozero(_u709)) | ~c_Orderings_Oord__class_Oless(_u709, _u711, c_Groups_Ozero__class_Ozero(_u709)) | c_Orderings_Oord__class_Oless(_u709, c_Groups_Ozero__class_Ozero(_u709), c_Groups_Otimes__class_Otimes(_u709, _u710, _u711)) )).
% 12.23/12.41 cnf(matrix-428, plain, ( ~class_Rings_Olinordered__semiring__strict(_u712) | ~c_Orderings_Oord__class_Oless(_u712, _u713, c_Groups_Ozero__class_Ozero(_u712)) | ~c_Orderings_Oord__class_Oless(_u712, c_Groups_Ozero__class_Ozero(_u712), _u714) | c_Orderings_Oord__class_Oless(_u712, c_Groups_Otimes__class_Otimes(_u712, _u713, _u714), c_Groups_Ozero__class_Ozero(_u712)) )).
% 12.23/12.41 cnf(matrix-429, plain, ( ~class_Rings_Olinordered__ring__strict(_u715) | ~c_Orderings_Oord__class_Oless(_u715, _u716, c_Groups_Ozero__class_Ozero(_u715)) | ~c_Orderings_Oord__class_Oless(_u715, c_Groups_Otimes__class_Otimes(_u715, _u716, _u717), c_Groups_Otimes__class_Otimes(_u715, _u716, _u718)) | c_Orderings_Oord__class_Oless(_u715, _u718, _u717) )).
% 12.23/12.41 cnf(matrix-430, plain, ( ~class_Rings_Olinordered__ring__strict(_u715) | ~c_Orderings_Oord__class_Oless(_u715, _u716, c_Groups_Ozero__class_Ozero(_u715)) | ~c_Orderings_Oord__class_Oless(_u715, _u718, _u717) | c_Orderings_Oord__class_Oless(_u715, c_Groups_Otimes__class_Otimes(_u715, _u716, _u717), c_Groups_Otimes__class_Otimes(_u715, _u716, _u718)) )).
% 12.23/12.41 cnf(matrix-431, plain, ( ~class_Rings_Olinordered__semiring__strict(_u719) | ~c_Orderings_Oord__class_Oless(_u719, c_Groups_Ozero__class_Ozero(_u719), c_Groups_Otimes__class_Otimes(_u719, _u720, _u721)) | ~c_Orderings_Oord__class_Oless(_u719, c_Groups_Ozero__class_Ozero(_u719), _u721) | c_Orderings_Oord__class_Oless(_u719, c_Groups_Ozero__class_Ozero(_u719), _u720) )).
% 12.23/12.41 cnf(matrix-432, plain, ( ~class_Rings_Olinordered__semiring__strict(_u722) | ~c_Orderings_Oord__class_Oless(_u722, c_Groups_Ozero__class_Ozero(_u722), c_Groups_Otimes__class_Otimes(_u722, _u723, _u724)) | ~c_Orderings_Oord__class_Oless(_u722, c_Groups_Ozero__class_Ozero(_u722), _u723) | c_Orderings_Oord__class_Oless(_u722, c_Groups_Ozero__class_Ozero(_u722), _u724) )).
% 12.23/12.41 cnf(matrix-433, plain, ( ~class_Rings_Olinordered__semiring__strict(_u725) | ~c_Orderings_Oord__class_Oless(_u725, c_Groups_Ozero__class_Ozero(_u725), _u726) | ~c_Orderings_Oord__class_Oless(_u725, _u727, c_Groups_Ozero__class_Ozero(_u725)) | c_Orderings_Oord__class_Oless(_u725, c_Groups_Otimes__class_Otimes(_u725, _u727, _u726), c_Groups_Ozero__class_Ozero(_u725)) )).
% 12.23/12.41 cnf(matrix-434, plain, ( ~class_Rings_Olinordered__semiring__strict(_u728) | ~c_Orderings_Oord__class_Oless(_u728, c_Groups_Ozero__class_Ozero(_u728), _u729) | ~c_Orderings_Oord__class_Oless(_u728, _u730, c_Groups_Ozero__class_Ozero(_u728)) | c_Orderings_Oord__class_Oless(_u728, c_Groups_Otimes__class_Otimes(_u728, _u729, _u730), c_Groups_Ozero__class_Ozero(_u728)) )).
% 12.23/12.41 cnf(matrix-435, plain, ( ~class_Rings_Olinordered__semiring__strict(_u731) | ~c_Orderings_Oord__class_Oless(_u731, c_Groups_Ozero__class_Ozero(_u731), _u732) | ~c_Orderings_Oord__class_Oless(_u731, c_Groups_Ozero__class_Ozero(_u731), _u733) | c_Orderings_Oord__class_Oless(_u731, c_Groups_Ozero__class_Ozero(_u731), c_Groups_Otimes__class_Otimes(_u731, _u732, _u733)) )).
% 12.23/12.41 cnf(matrix-436, plain, ( ~class_Rings_Olinordered__ring__strict(_u734) | ~c_Orderings_Oord__class_Oless(_u734, c_Groups_Ozero__class_Ozero(_u734), _u735) | ~c_Orderings_Oord__class_Oless(_u734, c_Groups_Otimes__class_Otimes(_u734, _u735, _u736), c_Groups_Otimes__class_Otimes(_u734, _u735, _u737)) | c_Orderings_Oord__class_Oless(_u734, _u736, _u737) )).
% 12.23/12.41 cnf(matrix-437, plain, ( ~class_Rings_Olinordered__ring__strict(_u734) | ~c_Orderings_Oord__class_Oless(_u734, c_Groups_Ozero__class_Ozero(_u734), _u735) | ~c_Orderings_Oord__class_Oless(_u734, _u736, _u737) | c_Orderings_Oord__class_Oless(_u734, c_Groups_Otimes__class_Otimes(_u734, _u735, _u736), c_Groups_Otimes__class_Otimes(_u734, _u735, _u737)) )).
% 12.23/12.41 cnf(matrix-438, plain, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Ozero__class_Ozero(_u738), _u739) | c_Orderings_Oord__class_Oless(_u738, _u739, c_Groups_Ozero__class_Ozero(_u738)) )).
% 12.23/12.41 cnf(matrix-439, plain, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Ozero__class_Ozero(_u738), _u739) | c_Orderings_Oord__class_Oless(_u738, _u741, _u740) )).
% 12.23/12.41 cnf(matrix-440, plain, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, _u740, _u741) | c_Orderings_Oord__class_Oless(_u738, _u739, c_Groups_Ozero__class_Ozero(_u738)) )).
% 12.23/12.41 cnf(matrix-441, plain, ( ~class_Rings_Olinordered__ring__strict(_u738) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | c_Orderings_Oord__class_Oless(_u738, _u740, _u741) | c_Orderings_Oord__class_Oless(_u738, _u741, _u740) )).
% 12.23/12.41 cnf(matrix-442, plain, ( ~class_Rings_Olinordered__ring__strict(_u738) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | ~c_Orderings_Oord__class_Oless(_u738, c_Groups_Ozero__class_Ozero(_u738), _u739) | ~c_Orderings_Oord__class_Oless(_u738, _u740, _u741) )).
% 12.23/12.41 cnf(matrix-443, plain, ( ~class_Rings_Olinordered__ring__strict(_u738) | c_Orderings_Oord__class_Oless(_u738, c_Groups_Otimes__class_Otimes(_u738, _u739, _u740), c_Groups_Otimes__class_Otimes(_u738, _u739, _u741)) | ~c_Orderings_Oord__class_Oless(_u738, _u739, c_Groups_Ozero__class_Ozero(_u738)) | ~c_Orderings_Oord__class_Oless(_u738, _u741, _u740) )).
% 12.23/12.41 cnf(matrix-444, plain, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Ozero__class_Ozero(_u742), _u744) | c_Orderings_Oord__class_Oless(_u742, _u744, c_Groups_Ozero__class_Ozero(_u742)) )).
% 12.23/12.41 cnf(matrix-445, plain, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Ozero__class_Ozero(_u742), _u744) | c_Orderings_Oord__class_Oless(_u742, _u745, _u743) )).
% 12.23/12.41 cnf(matrix-446, plain, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, _u743, _u745) | c_Orderings_Oord__class_Oless(_u742, _u744, c_Groups_Ozero__class_Ozero(_u742)) )).
% 12.23/12.41 cnf(matrix-447, plain, ( ~class_Rings_Olinordered__ring__strict(_u742) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | c_Orderings_Oord__class_Oless(_u742, _u743, _u745) | c_Orderings_Oord__class_Oless(_u742, _u745, _u743) )).
% 12.23/12.41 cnf(matrix-448, plain, ( ~class_Rings_Olinordered__ring__strict(_u742) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | ~c_Orderings_Oord__class_Oless(_u742, c_Groups_Ozero__class_Ozero(_u742), _u744) | ~c_Orderings_Oord__class_Oless(_u742, _u743, _u745) )).
% 12.23/12.41 cnf(matrix-449, plain, ( ~class_Rings_Olinordered__ring__strict(_u742) | c_Orderings_Oord__class_Oless(_u742, c_Groups_Otimes__class_Otimes(_u742, _u743, _u744), c_Groups_Otimes__class_Otimes(_u742, _u745, _u744)) | ~c_Orderings_Oord__class_Oless(_u742, _u744, c_Groups_Ozero__class_Ozero(_u742)) | ~c_Orderings_Oord__class_Oless(_u742, _u745, _u743) )).
% 12.23/12.41 cnf(matrix-450, plain, ( ~class_Rings_Olinordered__ring(_u746) | ~c_Orderings_Oord__class_Oless(_u746, c_Groups_Otimes__class_Otimes(_u746, _u747, _u747), c_Groups_Ozero__class_Ozero(_u746)) )).
% 12.23/12.41 cnf(matrix-451, plain, ( ~class_Int_Onumber__ring(_u748) | ( c_Groups_Oplus__class_Oplus(_u748, _u749, c_Int_Onumber__class_Onumber__of(_u748, c_Int_OPls)) = _u749) )).
% 12.23/12.41 cnf(matrix-452, plain, ( ~class_Int_Onumber__ring(_u750) | ( c_Groups_Oplus__class_Oplus(_u750, c_Int_Onumber__class_Onumber__of(_u750, c_Int_OPls), _u751) = _u751) )).
% 12.23/12.41 cnf(matrix-453, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u755, _u757), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u755, _u759)) | ( _u755 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u757, _u759) )).
% 12.23/12.41 cnf(matrix-454, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u758), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u760)) | ( _u756 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-455, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u758), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u756, _u760)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u758, _u760) )).
% 12.23/12.41 cnf(matrix-456, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u763, _u765) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u763 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-457, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u763, _u765) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u765 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-458, plain, ( ( _u764 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u766 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u764, _u766) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-459, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u768), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u768, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-460, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u769, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u769), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-461, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u771), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u771, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-462, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u772, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u772), c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-463, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-464, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u775), c_Int_OBit0(_u777)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u775, _u777) )).
% 12.23/12.41 cnf(matrix-465, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u776, _u778) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u776), c_Int_OBit0(_u778)) )).
% 12.23/12.41 cnf(matrix-466, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u781), c_Int_OBit0(_u783)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u781, _u783) )).
% 12.23/12.41 cnf(matrix-467, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u782, _u784) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u782), c_Int_OBit0(_u784)) )).
% 12.23/12.41 cnf(matrix-468, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u786), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-469, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u787, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u787), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-470, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u789)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u789) )).
% 12.23/12.41 cnf(matrix-471, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u790) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u790)) )).
% 12.23/12.41 cnf(matrix-472, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u792), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u792, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-473, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u793, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u793), c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-474, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u794, _u795) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u796) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u796, _u794), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u796, _u795)) )).
% 12.23/12.41 cnf(matrix-475, plain, ( ~class_Rings_Olinordered__idom(_u797) | ( c_Groups_Oplus__class_Oplus(_u797, c_Power_Opower__class_Opower(_u797, _u798, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u797, _u799, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u797)) | ( _u798 = c_Groups_Ozero__class_Ozero(_u797)) )).
% 12.23/12.41 cnf(matrix-476, plain, ( ~class_Rings_Olinordered__idom(_u797) | ( c_Groups_Oplus__class_Oplus(_u797, c_Power_Opower__class_Opower(_u797, _u798, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u797, _u799, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u797)) | ( _u799 = c_Groups_Ozero__class_Ozero(_u797)) )).
% 12.23/12.41 cnf(matrix-477, plain, ( ~class_Rings_Olinordered__idom(_u797) | ( _u798 != c_Groups_Ozero__class_Ozero(_u797)) | ( _u799 != c_Groups_Ozero__class_Ozero(_u797)) | ( c_Groups_Oplus__class_Oplus(_u797, c_Power_Opower__class_Opower(_u797, _u798, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u797, _u799, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u797)) )).
% 12.23/12.41 cnf(matrix-478, plain, ( ~class_Rings_Olinordered__idom(_u800) | ~c_Orderings_Oord__class_Oless(_u800, c_Power_Opower__class_Opower(_u800, _u801, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Groups_Ozero__class_Ozero(_u800)) )).
% 12.23/12.41 cnf(matrix-479, plain, ( ~class_Rings_Olinordered__idom(_u802) | ~c_Orderings_Oord__class_Oless(_u802, c_Groups_Ozero__class_Ozero(_u802), c_Power_Opower__class_Opower(_u802, _u803, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u803 != c_Groups_Ozero__class_Ozero(_u802)) )).
% 12.23/12.41 cnf(matrix-480, plain, ( ~class_Rings_Olinordered__idom(_u802) | ( _u803 = c_Groups_Ozero__class_Ozero(_u802)) | c_Orderings_Oord__class_Oless(_u802, c_Groups_Ozero__class_Ozero(_u802), c_Power_Opower__class_Opower(_u802, _u803, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.41 cnf(matrix-481, plain, ( ~class_Int_Onumber__ring(_u804) | ( c_Power_Opower__class_Opower(_u804, c_Groups_Oplus__class_Oplus(_u804, _u805, _u806), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u804, c_Groups_Oplus__class_Oplus(_u804, c_Power_Opower__class_Opower(_u804, _u805, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u804, _u806, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(_u804, c_Groups_Otimes__class_Otimes(_u804, c_Int_Onumber__class_Onumber__of(_u804, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u805), _u806))) )).
% 12.23/12.41 cnf(matrix-482, plain, ( ~class_Groups_Omonoid__mult(_u807) | ( c_Power_Opower__class_Opower(_u807, _u808, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u809))) = c_Groups_Otimes__class_Otimes(_u807, _u808, c_Power_Opower__class_Opower(_u807, c_Power_Opower__class_Opower(_u807, _u808, _u809), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.23/12.41 cnf(matrix-483, plain, ( ~class_Rings_Ocomm__semiring__1(_u810) | ( c_Power_Opower__class_Opower(_u810, _u811, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u812))) = c_Groups_Otimes__class_Otimes(_u810, _u811, c_Groups_Otimes__class_Otimes(_u810, c_Power_Opower__class_Opower(_u810, _u811, _u812), c_Power_Opower__class_Opower(_u810, _u811, _u812)))) )).
% 12.23/12.41 cnf(matrix-484, plain, ( ~class_Power_Opower(_u813) | ~class_Rings_Omult__zero(_u813) | ~class_Rings_Ono__zero__divisors(_u813) | ~class_Rings_Ozero__neq__one(_u813) | ( c_Power_Opower__class_Opower(_u813, _u814, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815)) != c_Groups_Ozero__class_Ozero(_u813)) | ( _u814 = c_Groups_Ozero__class_Ozero(_u813)) )).
% 12.23/12.41 cnf(matrix-485, plain, ( ~class_Power_Opower(_u813) | ~class_Rings_Omult__zero(_u813) | ~class_Rings_Ono__zero__divisors(_u813) | ~class_Rings_Ozero__neq__one(_u813) | ( c_Power_Opower__class_Opower(_u813, _u814, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815)) != c_Groups_Ozero__class_Ozero(_u813)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-486, plain, ( ~class_Power_Opower(_u813) | ~class_Rings_Omult__zero(_u813) | ~class_Rings_Ono__zero__divisors(_u813) | ~class_Rings_Ozero__neq__one(_u813) | ( _u814 != c_Groups_Ozero__class_Ozero(_u813)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u813, _u814, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u815)) = c_Groups_Ozero__class_Ozero(_u813)) )).
% 12.23/12.41 cnf(matrix-487, plain, ( ~class_Int_Onumber__ring(_u816) | ( c_Int_Onumber__class_Onumber__of(_u816, c_Int_OBit0(_u817)) = c_Groups_Oplus__class_Oplus(_u816, c_Groups_Oplus__class_Oplus(_u816, c_Groups_Ozero__class_Ozero(_u816), c_Int_Onumber__class_Onumber__of(_u816, _u817)), c_Int_Onumber__class_Onumber__of(_u816, _u817))) )).
% 12.23/12.41 cnf(matrix-488, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u821) | ( _u821 = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), skolem5(_u821)))) )).
% 12.23/12.41 cnf(matrix-489, plain, ( ( _u822 != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u819))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u822) )).
% 12.23/12.41 cnf(matrix-490, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u826) | ( _u826 = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), skolem6(_u826))) )).
% 12.23/12.41 cnf(matrix-491, plain, ( ( _u827 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u824)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u827) )).
% 12.23/12.41 cnf(matrix-492, plain, ( ~class_Int_Onumber__ring(_u828) | ~class_Int_Oring__char__0(_u828) | ~c_Int_Oiszero(_u828, c_Int_Onumber__class_Onumber__of(_u828, c_Int_OBit1(_u829))) )).
% 12.23/12.41 cnf(matrix-493, plain, ( ~class_Int_Onumber__ring(_u830) | c_Int_Oiszero(_u830, c_Int_Onumber__class_Onumber__of(_u830, c_Int_OPls)) )).
% 12.23/12.41 cnf(matrix-494, plain, ( ~class_Int_Onumber__ring(_u831) | ~class_Int_Oring__char__0(_u831) | ~c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, c_Int_OBit0(_u832))) | c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, _u832)) )).
% 12.23/12.41 cnf(matrix-495, plain, ( ~class_Int_Onumber__ring(_u831) | ~class_Int_Oring__char__0(_u831) | ~c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, _u832)) | c_Int_Oiszero(_u831, c_Int_Onumber__class_Onumber__of(_u831, c_Int_OBit0(_u832))) )).
% 12.23/12.41 cnf(matrix-496, plain, ( ~class_Groups_Omonoid__mult(_u833) | ( c_Power_Opower__class_Opower(_u833, _u834, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_u833, c_Groups_Otimes__class_Otimes(_u833, _u834, _u834), _u834)) )).
% 12.23/12.41 cnf(matrix-497, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-498, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = c_Nat_OSuc(c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.23/12.41 cnf(matrix-499, plain, ( ~class_Rings_Osemiring__1(_u835) | ( c_Power_Opower__class_Opower(_u835, c_Groups_Ozero__class_Ozero(_u835), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u835)) )).
% 12.23/12.41 cnf(matrix-500, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u836) | ( c_Power_Opower__class_Opower(_u836, _u837, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u836)) | ( _u837 = c_Groups_Ozero__class_Ozero(_u836)) )).
% 12.23/12.41 cnf(matrix-501, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u836) | ( _u837 != c_Groups_Ozero__class_Ozero(_u836)) | ( c_Power_Opower__class_Opower(_u836, _u837, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u836)) )).
% 12.23/12.41 cnf(matrix-502, plain, ( ~class_Groups_Omonoid__mult(_u838) | ( c_Power_Opower__class_Opower(_u838, _u839, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_u838, _u839, _u839)) )).
% 12.23/12.41 cnf(matrix-503, plain, ( ~class_Rings_Ocomm__semiring__1(_u840) | ( c_Groups_Otimes__class_Otimes(_u840, _u841, _u841) = c_Power_Opower__class_Opower(_u840, _u841, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.41 cnf(matrix-504, plain, ( ~class_Int_Onumber__ring(_u842) | ( c_Groups_Otimes__class_Otimes(_u842, _u843, c_Int_Onumber__class_Onumber__of(_u842, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u842, _u843, _u843)) )).
% 12.23/12.41 cnf(matrix-505, plain, ( ~class_Int_Onumber__ring(_u844) | ( c_Groups_Otimes__class_Otimes(_u844, c_Int_Onumber__class_Onumber__of(_u844, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u845) = c_Groups_Oplus__class_Oplus(_u844, _u845, _u845)) )).
% 12.23/12.41 cnf(matrix-506, plain, ( ~class_Groups_Omonoid__mult(_u846) | ( c_Power_Opower__class_Opower(_u846, _u847, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u848)) = c_Power_Opower__class_Opower(_u846, c_Power_Opower__class_Opower(_u846, _u847, _u848), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.41 cnf(matrix-507, plain, ( ( c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-508, plain, ( ( c_Power_Opower__class_Opower(tc_Complex_Ocomplex, c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_u849), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u849) )).
% 12.23/12.41 cnf(matrix-509, plain, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u850, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u850), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.41 cnf(matrix-510, plain, ( ~class_Rings_Odvd(_u855) | ~class_Rings_Osemiring__0(_u855) | ~hBOOL(hAPP(_u856, c_Groups_Otimes__class_Otimes(_u855, _u857, _u851))) | c_Rings_Odvd__class_Odvd(_u855, _u857, c_Groups_Oplus__class_Oplus(_u855, skolem7(_u857, _u856, _u855), c_Groups_Ozero__class_Ozero(_u855))) )).
% 12.23/12.41 cnf(matrix-511, plain, ( ~class_Rings_Odvd(_u855) | ~class_Rings_Osemiring__0(_u855) | ~hBOOL(hAPP(_u856, c_Groups_Otimes__class_Otimes(_u855, _u857, _u851))) | hBOOL(hAPP(_u856, skolem7(_u857, _u856, _u855))) )).
% 12.23/12.41 cnf(matrix-512, plain, ( ~class_Rings_Odvd(_u855) | ~class_Rings_Osemiring__0(_u855) | ~c_Rings_Odvd__class_Odvd(_u855, _u857, c_Groups_Oplus__class_Oplus(_u855, _u853, c_Groups_Ozero__class_Ozero(_u855))) | ~hBOOL(hAPP(_u856, _u853)) | hBOOL(hAPP(_u856, c_Groups_Otimes__class_Otimes(_u855, _u857, skolem8(_u857, _u856, _u855)))) )).
% 12.23/12.41 cnf(matrix-513, plain, ( ~class_Groups_Omonoid__mult(_u858) | ( c_Power_Opower__class_Opower(_u858, _u859, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u860, _u861)) = c_Groups_Otimes__class_Otimes(_u858, c_Power_Opower__class_Opower(_u858, _u859, _u860), c_Power_Opower__class_Opower(_u858, _u859, _u861))) )).
% 12.23/12.41 cnf(matrix-514, plain, ( ~class_Power_Opower(_u862) | ( c_Power_Opower__class_Opower(_u862, _u863, c_Nat_OSuc(_u864)) = c_Groups_Otimes__class_Otimes(_u862, _u863, c_Power_Opower__class_Opower(_u862, _u863, _u864))) )).
% 12.23/12.41 cnf(matrix-515, plain, ( ~class_Groups_Omonoid__mult(_u865) | ( c_Power_Opower__class_Opower(_u865, _u866, c_Nat_OSuc(_u867)) = c_Groups_Otimes__class_Otimes(_u865, c_Power_Opower__class_Opower(_u865, _u866, _u867), _u866)) )).
% 12.23/12.41 cnf(matrix-516, plain, ( ~class_Power_Opower(_u868) | ~class_Rings_Osemiring__0(_u868) | ( c_Power_Opower__class_Opower(_u868, c_Groups_Ozero__class_Ozero(_u868), c_Nat_OSuc(_u869)) = c_Groups_Ozero__class_Ozero(_u868)) )).
% 12.23/12.41 cnf(matrix-517, plain, ( ~class_Power_Opower(_u870) | ~class_Rings_Omult__zero(_u870) | ~class_Rings_Ono__zero__divisors(_u870) | ~class_Rings_Ozero__neq__one(_u870) | ( c_Power_Opower__class_Opower(_u870, _u871, _u872) != c_Groups_Ozero__class_Ozero(_u870)) | ( _u871 = c_Groups_Ozero__class_Ozero(_u870)) )).
% 12.23/12.41 cnf(matrix-518, plain, ( ~class_Power_Opower(_u870) | ~class_Rings_Omult__zero(_u870) | ~class_Rings_Ono__zero__divisors(_u870) | ~class_Rings_Ozero__neq__one(_u870) | ( c_Power_Opower__class_Opower(_u870, _u871, _u872) != c_Groups_Ozero__class_Ozero(_u870)) | ( _u872 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-519, plain, ( ~class_Power_Opower(_u870) | ~class_Rings_Omult__zero(_u870) | ~class_Rings_Ono__zero__divisors(_u870) | ~class_Rings_Ozero__neq__one(_u870) | ( _u871 != c_Groups_Ozero__class_Ozero(_u870)) | ( _u872 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u870, _u871, _u872) = c_Groups_Ozero__class_Ozero(_u870)) )).
% 12.23/12.41 cnf(matrix-520, plain, ( ~class_Rings_Olinordered__semidom(_u873) | ~c_Orderings_Oord__class_Oless(_u873, c_Groups_Ozero__class_Ozero(_u873), _u874) | c_Orderings_Oord__class_Oless(_u873, c_Groups_Ozero__class_Ozero(_u873), c_Power_Opower__class_Opower(_u873, _u874, _u875)) )).
% 12.23/12.41 cnf(matrix-521, plain, ( ~class_Groups_Olinordered__ab__group__add(_u876) | ~c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), c_Groups_Oplus__class_Oplus(_u876, _u877, _u877)) | c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), _u877) )).
% 12.23/12.41 cnf(matrix-522, plain, ( ~class_Groups_Olinordered__ab__group__add(_u876) | ~c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), _u877) | c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), c_Groups_Oplus__class_Oplus(_u876, _u877, _u877)) )).
% 12.23/12.41 cnf(matrix-523, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u878, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-524, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u879, _u880) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u879), c_Nat_OSuc(_u880)) )).
% 12.23/12.41 cnf(matrix-525, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u881, c_Nat_OSuc(_u881)) )).
% 12.23/12.41 cnf(matrix-526, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Nat_OSuc(_u882)) )).
% 12.23/12.41 cnf(matrix-527, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u884, _u884)) | ( _u884 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-528, plain, ( ( _u885 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u885, _u885)) )).
% 12.23/12.41 cnf(matrix-529, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u886, _u887) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u887, _u886)) )).
% 12.23/12.41 cnf(matrix-530, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u888, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u889, _u890)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u889, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u888, _u890))) )).
% 12.23/12.41 cnf(matrix-531, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u891, _u892), _u893) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u891, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u892, _u893))) )).
% 12.23/12.41 cnf(matrix-532, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, _u895) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, _u897)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u898, _u895)), _u897)) )).
% 12.23/12.41 cnf(matrix-533, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, _u895) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u898, _u895)), _u897)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u894, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u896, _u897)) )).
% 12.23/12.41 cnf(matrix-534, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u902, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u904, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u902, _u906))) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u902, _u904) )).
% 12.23/12.41 cnf(matrix-535, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u903, _u905) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u903, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u905, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u903, _u907))) )).
% 12.23/12.41 cnf(matrix-536, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u908) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u908, _u909), c_Power_Opower__class_Opower(tc_Nat_Onat, _u908, _u910)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u909, _u910) )).
% 12.23/12.41 cnf(matrix-537, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u913, _u915)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u913) | ( _u915 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-538, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u914, _u916)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u914) )).
% 12.23/12.41 cnf(matrix-539, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u914, _u916)) | ( _u916 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-540, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u917) = _u917) )).
% 12.23/12.41 cnf(matrix-541, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u918, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u918) )).
% 12.23/12.41 cnf(matrix-542, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u919, c_Int_OPls) = _u919) )).
% 12.23/12.41 cnf(matrix-543, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, _u920) = _u920) )).
% 12.23/12.41 cnf(matrix-544, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u921), c_Int_OBit0(_u922)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u921, _u922))) )).
% 12.23/12.41 cnf(matrix-545, plain, ( ( c_Int_OBit0(_u923) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u923, _u923)) )).
% 12.23/12.41 cnf(matrix-546, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u924, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-547, plain, ( ( _u926 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u926) )).
% 12.23/12.41 cnf(matrix-548, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u927) | ( _u927 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-549, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u928, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-550, plain, ( ( _u930 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u929, _u930) )).
% 12.23/12.41 cnf(matrix-551, plain, ( ( _u931 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u931) )).
% 12.23/12.41 cnf(matrix-552, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u934, _u936)) | ( _u936 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u934) )).
% 12.23/12.41 cnf(matrix-553, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u935, _u937)) | ( _u937 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-554, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u935, _u937)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u935) )).
% 12.23/12.41 cnf(matrix-555, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u938, _u939) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u938, _u940), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u939, _u940)) )).
% 12.23/12.41 cnf(matrix-556, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u941), c_Nat_OSuc(_u942)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u941, _u942) )).
% 12.23/12.41 cnf(matrix-557, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u943), _u944) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u943, _u944) )).
% 12.23/12.41 cnf(matrix-558, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u945, c_Nat_OSuc(_u946)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u945, _u946) | ( _u945 = _u946) )).
% 12.23/12.41 cnf(matrix-559, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u947, _u948) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u948, _u949) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u947), _u949) )).
% 12.23/12.41 cnf(matrix-560, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u950, _u951) | ( c_Nat_OSuc(_u950) = _u951) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u950), _u951) )).
% 12.23/12.41 cnf(matrix-561, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u952, _u953) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u952, c_Nat_OSuc(_u953)) )).
% 12.23/12.41 cnf(matrix-562, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u954, _u955) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u954, c_Nat_OSuc(_u955)) | ( _u955 = _u954) )).
% 12.23/12.41 cnf(matrix-563, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, _u957) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, c_Nat_OSuc(_u957)) | ( _u956 = _u957) )).
% 12.23/12.41 cnf(matrix-564, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, _u957) | ( _u956 != _u957) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u956, c_Nat_OSuc(_u957)) )).
% 12.23/12.41 cnf(matrix-565, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u960), c_Nat_OSuc(_u962)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u960, _u962) )).
% 12.23/12.41 cnf(matrix-566, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u961, _u963) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u961), c_Nat_OSuc(_u963)) )).
% 12.23/12.41 cnf(matrix-567, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u966, c_Nat_OSuc(_u968)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u966, _u968) | ( _u966 = _u968) )).
% 12.23/12.41 cnf(matrix-568, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u967, c_Nat_OSuc(_u969)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u967, _u969) )).
% 12.23/12.41 cnf(matrix-569, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u967, c_Nat_OSuc(_u969)) | ( _u967 != _u969) )).
% 12.23/12.41 cnf(matrix-570, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u972, _u974) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u974, c_Nat_OSuc(_u972)) )).
% 12.23/12.41 cnf(matrix-571, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u975, c_Nat_OSuc(_u973)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u973, _u975) )).
% 12.23/12.41 cnf(matrix-572, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u976), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u977)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u976, _u977))) )).
% 12.23/12.41 cnf(matrix-573, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u978, _u979), _u980) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u978, _u980) )).
% 12.23/12.41 cnf(matrix-574, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u981, _u982) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u983, _u982) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u981, _u984)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u983, _u984) )).
% 12.23/12.41 cnf(matrix-575, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u985, _u986) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u987, _u988) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u985, _u987), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u986, _u988)) )).
% 12.23/12.41 cnf(matrix-576, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u989, _u990) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u989, _u991), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u990, _u991)) )).
% 12.23/12.41 cnf(matrix-577, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u992, _u993) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u992, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u994, _u993)) )).
% 12.23/12.41 cnf(matrix-578, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u995, _u996) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u995, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u996, _u997)) )).
% 12.23/12.41 cnf(matrix-579, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1003, _u1005) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1001, _u1003), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1001, _u1005)) )).
% 12.23/12.41 cnf(matrix-580, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1004, _u1006) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1002, _u1004), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1002, _u1006)) )).
% 12.23/12.41 cnf(matrix-581, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1007, _u1008), _u1008) )).
% 12.23/12.41 cnf(matrix-582, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1009, _u1010), _u1009) )).
% 12.23/12.41 cnf(matrix-583, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1011, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1012, _u1013)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1011, _u1012), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1011, _u1013))) )).
% 12.23/12.41 cnf(matrix-584, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1014, _u1015), _u1016) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1014, _u1016), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1015, _u1016))) )).
% 12.23/12.41 cnf(matrix-585, plain, ( ( _u1017 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1018, _u1019) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1018), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1019)) )).
% 12.23/12.41 cnf(matrix-586, plain, ( ( _u1017 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1018), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1017, _u1019)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1018, _u1019) )).
% 12.23/12.41 cnf(matrix-587, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1022, _u1024)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1022) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1024) )).
% 12.23/12.41 cnf(matrix-588, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1022, _u1024)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1024) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1022) )).
% 12.23/12.41 cnf(matrix-589, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1023, _u1025)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1023) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1025) )).
% 12.23/12.41 cnf(matrix-590, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1023, _u1025)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1023) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1025) )).
% 12.23/12.41 cnf(matrix-591, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1026) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1027) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1026, _u1027)) )).
% 12.23/12.41 cnf(matrix-592, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1028) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1029) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1028, _u1029)) )).
% 12.23/12.41 cnf(matrix-593, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1030) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1031) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1030, _u1031)) )).
% 12.23/12.41 cnf(matrix-594, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1032) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1033) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1032, _u1033)) )).
% 12.23/12.41 cnf(matrix-595, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1034) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1034, _u1035) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1035, _u1034) )).
% 12.23/12.41 cnf(matrix-596, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1036, _u1037), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1036, _u1038)) | ( _u1036 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1037, _u1038) )).
% 12.23/12.41 cnf(matrix-597, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_u1039), c_Int_OBit0(_u1040)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1039, _u1040))) )).
% 12.23/12.41 cnf(matrix-598, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u1041), c_Int_OBit1(_u1042)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1041, _u1042))) )).
% 12.23/12.41 cnf(matrix-599, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1043, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u1043 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1043 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-600, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1048, c_Nat_OSuc(_u1050)) | ( _u1048 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1048 = c_Nat_OSuc(skolem9(_u1050, _u1048))) )).
% 12.23/12.41 cnf(matrix-601, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1048, c_Nat_OSuc(_u1050)) | ( _u1048 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem9(_u1050, _u1048), _u1050) )).
% 12.23/12.41 cnf(matrix-602, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1049, c_Nat_OSuc(_u1051)) | ( _u1049 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-603, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1049, c_Nat_OSuc(_u1051)) | ( _u1049 != c_Nat_OSuc(_u1045)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1045, _u1051) )).
% 12.23/12.41 cnf(matrix-604, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1053, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1053 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-605, plain, ( ( _u1054 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1054, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-606, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1058) | ( _u1058 = c_Nat_OSuc(skolem10(_u1058))) )).
% 12.23/12.41 cnf(matrix-607, plain, ( ( _u1059 != c_Nat_OSuc(_u1056)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1059) )).
% 12.23/12.41 cnf(matrix-608, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1060) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1060, _u1061) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1061, _u1060) )).
% 12.23/12.41 cnf(matrix-609, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u1064, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1066))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1066) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1064) )).
% 12.23/12.41 cnf(matrix-610, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u1065, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1067))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1067) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-611, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u1065, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1067))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1065) )).
% 12.23/12.41 cnf(matrix-612, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1070, _u1072)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1070) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1072) )).
% 12.23/12.41 cnf(matrix-613, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1071, _u1073)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1071) )).
% 12.23/12.41 cnf(matrix-614, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1071, _u1073)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1073) )).
% 12.23/12.41 cnf(matrix-615, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1078, _u1080) | ( _u1080 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1078, skolem11(_u1080, _u1078)))) )).
% 12.23/12.41 cnf(matrix-616, plain, ( ( _u1081 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1079, _u1075))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1079, _u1081) )).
% 12.23/12.41 cnf(matrix-617, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1082, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1083, _u1082))) )).
% 12.23/12.41 cnf(matrix-618, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1084, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1084, _u1085))) )).
% 12.23/12.41 cnf(matrix-619, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1088, _u1090)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1088) )).
% 12.23/12.41 cnf(matrix-620, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1088, _u1090)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1090) )).
% 12.23/12.41 cnf(matrix-621, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1089) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1091) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1089, _u1091)) )).
% 12.23/12.41 cnf(matrix-622, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1097), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1099)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1095) )).
% 12.23/12.41 cnf(matrix-623, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1097), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1095, _u1099)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1097, _u1099) )).
% 12.23/12.41 cnf(matrix-624, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1096) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1098, _u1100) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1096, _u1098), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1096, _u1100)) )).
% 12.23/12.41 cnf(matrix-625, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1104, _u1106), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1108, _u1106)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1106) )).
% 12.23/12.41 cnf(matrix-626, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1104, _u1106), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1108, _u1106)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1104, _u1108) )).
% 12.23/12.41 cnf(matrix-627, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1107) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1105, _u1109) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1105, _u1107), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1109, _u1107)) )).
% 12.23/12.41 cnf(matrix-628, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1110) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1111) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1112)) | ( _u1111 = _u1112) )).
% 12.23/12.41 cnf(matrix-629, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1110) | ( _u1111 != _u1112) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1111) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1110, _u1112)) )).
% 12.23/12.41 cnf(matrix-630, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1113) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1114), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1115)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1114, _u1115) )).
% 12.23/12.41 cnf(matrix-631, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1113) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1114, _u1115) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1114), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1113, _u1115)) )).
% 12.23/12.41 cnf(matrix-632, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1116, _u1117) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1118) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1116, _u1118), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1117, _u1118)) )).
% 12.23/12.41 cnf(matrix-633, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1119, _u1120) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1121) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1121, _u1119), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1121, _u1120)) )).
% 12.23/12.41 cnf(matrix-634, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1127, _u1129) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1125), _u1127), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1125), _u1129)) )).
% 12.23/12.41 cnf(matrix-635, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1128, _u1130) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1126), _u1128), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u1126), _u1130)) )).
% 12.23/12.41 cnf(matrix-636, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1131) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1131) )).
% 12.23/12.41 cnf(matrix-637, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u1134, _u1136)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1134) )).
% 12.23/12.41 cnf(matrix-638, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u1134, _u1136)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1136) )).
% 12.23/12.41 cnf(matrix-639, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1135) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1137) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u1135, _u1137)) )).
% 12.23/12.41 cnf(matrix-640, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit1(_u1138), _u1139) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1138, _u1139)), _u1139)) )).
% 12.23/12.41 cnf(matrix-641, plain, ( ~class_Groups_Ozero(_u1140) | ( c_Groups_Ozero__class_Ozero(_u1140) != _u1141) | ( _u1141 = c_Groups_Ozero__class_Ozero(_u1140)) )).
% 12.23/12.41 cnf(matrix-642, plain, ( ~class_Groups_Ozero(_u1140) | ( _u1141 != c_Groups_Ozero__class_Ozero(_u1140)) | ( c_Groups_Ozero__class_Ozero(_u1140) = _u1141) )).
% 12.23/12.41 cnf(matrix-643, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1142) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1143) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1142, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1143, _u1142)) )).
% 12.23/12.41 cnf(matrix-644, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1144) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1145) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1144, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1144, _u1145)) )).
% 12.23/12.41 cnf(matrix-645, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1146) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1147) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1147, _u1146)) )).
% 12.23/12.41 cnf(matrix-646, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1148) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1149), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1150)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1149, _u1150) )).
% 12.23/12.41 cnf(matrix-647, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1148) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1149, _u1150) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1149), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1148, _u1150)) )).
% 12.23/12.41 cnf(matrix-648, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1151, _u1152), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1151, _u1153)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1151) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1152, _u1153) )).
% 12.23/12.41 cnf(matrix-649, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1156), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1158)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1156, _u1158) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1158) )).
% 12.23/12.41 cnf(matrix-650, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1156), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1158)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1156, _u1158) )).
% 12.23/12.41 cnf(matrix-651, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1157), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1159)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1157, _u1159) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1159) )).
% 12.23/12.41 cnf(matrix-652, plain, ( ~class_Groups_Oab__semigroup__mult(_u1160) | ( c_Groups_Otimes__class_Otimes(_u1160, c_Groups_Otimes__class_Otimes(_u1160, _u1161, _u1162), _u1163) = c_Groups_Otimes__class_Otimes(_u1160, _u1161, c_Groups_Otimes__class_Otimes(_u1160, _u1162, _u1163))) )).
% 12.23/12.41 cnf(matrix-653, plain, ( ~class_Groups_Oab__semigroup__add(_u1164) | ( c_Groups_Oplus__class_Oplus(_u1164, c_Groups_Oplus__class_Oplus(_u1164, _u1165, _u1166), _u1167) = c_Groups_Oplus__class_Oplus(_u1164, _u1165, c_Groups_Oplus__class_Oplus(_u1164, _u1166, _u1167))) )).
% 12.23/12.41 cnf(matrix-654, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1168) | ( c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1170) != c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1171)) | ( _u1170 = _u1171) )).
% 12.23/12.41 cnf(matrix-655, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1168) | ( _u1170 != _u1171) | ( c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1170) = c_Groups_Oplus__class_Oplus(_u1168, _u1169, _u1171)) )).
% 12.23/12.41 cnf(matrix-656, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1172) | ( c_Groups_Oplus__class_Oplus(_u1172, _u1173, _u1174) != c_Groups_Oplus__class_Oplus(_u1172, _u1175, _u1174)) | ( _u1173 = _u1175) )).
% 12.23/12.41 cnf(matrix-657, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1172) | ( _u1173 != _u1175) | ( c_Groups_Oplus__class_Oplus(_u1172, _u1173, _u1174) = c_Groups_Oplus__class_Oplus(_u1172, _u1175, _u1174)) )).
% 12.23/12.41 cnf(matrix-658, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1176) | ( c_Groups_Oplus__class_Oplus(_u1176, _u1177, _u1178) != c_Groups_Oplus__class_Oplus(_u1176, _u1177, _u1179)) | ( _u1178 = _u1179) )).
% 12.23/12.41 cnf(matrix-659, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1180) | ( c_Groups_Oplus__class_Oplus(_u1180, _u1181, _u1182) != c_Groups_Oplus__class_Oplus(_u1180, _u1181, _u1183)) | ( _u1182 = _u1183) )).
% 12.23/12.41 cnf(matrix-660, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1184) | ( c_Groups_Oplus__class_Oplus(_u1184, _u1185, _u1186) != c_Groups_Oplus__class_Oplus(_u1184, _u1187, _u1186)) | ( _u1185 = _u1187) )).
% 12.23/12.41 cnf(matrix-661, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-662, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1190, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1190), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1192)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1192)) )).
% 12.23/12.41 cnf(matrix-663, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1191, c_Int_OPls) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1193, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1191), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1193)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1191)) )).
% 12.23/12.41 cnf(matrix-664, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1191, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1193, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1191), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1193)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1191, _u1193))) )).
% 12.23/12.41 cnf(matrix-665, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1195)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1195) )).
% 12.23/12.41 cnf(matrix-666, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1196) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1196)) )).
% 12.23/12.41 cnf(matrix-667, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1198) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1198) )).
% 12.23/12.41 cnf(matrix-668, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1199) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1199) )).
% 12.23/12.41 cnf(matrix-669, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1200, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) | ( _u1200 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1200 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-670, plain, ( ~class_Groups_Omonoid__add(_u1201) | ( c_Groups_Oplus__class_Oplus(_u1201, c_Groups_Ozero__class_Ozero(_u1201), _u1202) = _u1202) )).
% 12.23/12.41 cnf(matrix-671, plain, ( ~class_Groups_Ocomm__monoid__add(_u1203) | ( c_Groups_Oplus__class_Oplus(_u1203, c_Groups_Ozero__class_Ozero(_u1203), _u1204) = _u1204) )).
% 12.23/12.41 cnf(matrix-672, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1205) | ( c_Groups_Ozero__class_Ozero(_u1205) != c_Groups_Oplus__class_Oplus(_u1205, _u1206, _u1206)) | ( _u1206 = c_Groups_Ozero__class_Ozero(_u1205)) )).
% 12.23/12.41 cnf(matrix-673, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1205) | ( _u1206 != c_Groups_Ozero__class_Ozero(_u1205)) | ( c_Groups_Ozero__class_Ozero(_u1205) = c_Groups_Oplus__class_Oplus(_u1205, _u1206, _u1206)) )).
% 12.23/12.41 cnf(matrix-674, plain, ( ~class_Groups_Omonoid__add(_u1207) | ( c_Groups_Oplus__class_Oplus(_u1207, _u1208, c_Groups_Ozero__class_Ozero(_u1207)) = _u1208) )).
% 12.23/12.41 cnf(matrix-675, plain, ( ~class_Groups_Ocomm__monoid__add(_u1209) | ( c_Groups_Oplus__class_Oplus(_u1209, _u1210, c_Groups_Ozero__class_Ozero(_u1209)) = _u1210) )).
% 12.23/12.41 cnf(matrix-676, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1211) | ~c_Orderings_Oord__class_Oless(_u1211, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1213), c_Groups_Oplus__class_Oplus(_u1211, _u1214, _u1213)) | c_Orderings_Oord__class_Oless(_u1211, _u1212, _u1214) )).
% 12.23/12.41 cnf(matrix-677, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1211) | ~c_Orderings_Oord__class_Oless(_u1211, _u1212, _u1214) | c_Orderings_Oord__class_Oless(_u1211, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1213), c_Groups_Oplus__class_Oplus(_u1211, _u1214, _u1213)) )).
% 12.23/12.41 cnf(matrix-678, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1215) | ~c_Orderings_Oord__class_Oless(_u1215, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1217), c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1218)) | c_Orderings_Oord__class_Oless(_u1215, _u1217, _u1218) )).
% 12.23/12.41 cnf(matrix-679, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1215) | ~c_Orderings_Oord__class_Oless(_u1215, _u1217, _u1218) | c_Orderings_Oord__class_Oless(_u1215, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1217), c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1218)) )).
% 12.23/12.41 cnf(matrix-680, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1219) | ~c_Orderings_Oord__class_Oless(_u1219, _u1220, _u1221) | c_Orderings_Oord__class_Oless(_u1219, c_Groups_Oplus__class_Oplus(_u1219, _u1220, _u1222), c_Groups_Oplus__class_Oplus(_u1219, _u1221, _u1222)) )).
% 12.23/12.41 cnf(matrix-681, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1223) | ~c_Orderings_Oord__class_Oless(_u1223, _u1224, _u1225) | c_Orderings_Oord__class_Oless(_u1223, c_Groups_Oplus__class_Oplus(_u1223, _u1226, _u1224), c_Groups_Oplus__class_Oplus(_u1223, _u1226, _u1225)) )).
% 12.23/12.41 cnf(matrix-682, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1227) | ~c_Orderings_Oord__class_Oless(_u1227, _u1228, _u1229) | ~c_Orderings_Oord__class_Oless(_u1227, _u1230, _u1231) | c_Orderings_Oord__class_Oless(_u1227, c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1230), c_Groups_Oplus__class_Oplus(_u1227, _u1229, _u1231)) )).
% 12.23/12.41 cnf(matrix-683, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1232) | ~c_Orderings_Oord__class_Oless(_u1232, c_Groups_Oplus__class_Oplus(_u1232, _u1233, _u1234), c_Groups_Oplus__class_Oplus(_u1232, _u1235, _u1234)) | c_Orderings_Oord__class_Oless(_u1232, _u1233, _u1235) )).
% 12.23/12.41 cnf(matrix-684, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1236) | ~c_Orderings_Oord__class_Oless(_u1236, c_Groups_Oplus__class_Oplus(_u1236, _u1237, _u1238), c_Groups_Oplus__class_Oplus(_u1236, _u1237, _u1239)) | c_Orderings_Oord__class_Oless(_u1236, _u1238, _u1239) )).
% 12.23/12.41 cnf(matrix-685, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1240) | ( _u1241 = c_Groups_Ozero__class_Ozero(_u1240)) | ( c_Power_Opower__class_Opower(_u1240, _u1241, _u1242) != c_Groups_Ozero__class_Ozero(_u1240)) )).
% 12.23/12.41 cnf(matrix-686, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1243) | ( c_Power_Opower__class_Opower(_u1243, c_Groups_Otimes__class_Otimes(_u1243, _u1244, _u1245), _u1246) = c_Groups_Otimes__class_Otimes(_u1243, c_Power_Opower__class_Opower(_u1243, _u1244, _u1246), c_Power_Opower__class_Opower(_u1243, _u1245, _u1246))) )).
% 12.23/12.41 cnf(matrix-687, plain, ( ~class_Groups_Omonoid__mult(_u1247) | ( c_Groups_Otimes__class_Otimes(_u1247, c_Power_Opower__class_Opower(_u1247, _u1248, _u1249), _u1248) = c_Groups_Otimes__class_Otimes(_u1247, _u1248, c_Power_Opower__class_Opower(_u1247, _u1248, _u1249))) )).
% 12.23/12.41 cnf(matrix-688, plain, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u1252, _u1254) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1254 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1252 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-689, plain, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u1253, _u1255) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1255 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-690, plain, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u1253, _u1255) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1253 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-691, plain, ( ( c_Power_Opower__class_Opower(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1256) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-692, plain, ( ~class_Rings_Ocomm__semiring__1(_u1257) | ~c_Rings_Odvd__class_Odvd(_u1257, _u1258, _u1259) | c_Rings_Odvd__class_Odvd(_u1257, c_Power_Opower__class_Opower(_u1257, _u1258, _u1260), c_Power_Opower__class_Opower(_u1257, _u1259, _u1260)) )).
% 12.23/12.41 cnf(matrix-693, plain, ( ~class_Groups_Omonoid__mult(_u1261) | ( c_Power_Opower__class_Opower(_u1261, _u1262, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1263, _u1264)) = c_Power_Opower__class_Opower(_u1261, c_Power_Opower__class_Opower(_u1261, _u1262, _u1263), _u1264)) )).
% 12.23/12.41 cnf(matrix-694, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1265) | ~c_Orderings_Oord__class_Oless(_u1265, _u1266, c_Groups_Ozero__class_Ozero(_u1265)) | ~c_Orderings_Oord__class_Oless(_u1265, _u1267, c_Groups_Ozero__class_Ozero(_u1265)) | c_Orderings_Oord__class_Oless(_u1265, c_Groups_Oplus__class_Oplus(_u1265, _u1266, _u1267), c_Groups_Ozero__class_Ozero(_u1265)) )).
% 12.23/12.41 cnf(matrix-695, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1268) | ~c_Orderings_Oord__class_Oless(_u1268, c_Groups_Ozero__class_Ozero(_u1268), _u1269) | ~c_Orderings_Oord__class_Oless(_u1268, c_Groups_Ozero__class_Ozero(_u1268), _u1270) | c_Orderings_Oord__class_Oless(_u1268, c_Groups_Ozero__class_Ozero(_u1268), c_Groups_Oplus__class_Oplus(_u1268, _u1269, _u1270)) )).
% 12.23/12.41 cnf(matrix-696, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1271) | ~c_Orderings_Oord__class_Oless(_u1271, c_Groups_Oplus__class_Oplus(_u1271, _u1272, _u1272), c_Groups_Ozero__class_Ozero(_u1271)) | c_Orderings_Oord__class_Oless(_u1271, _u1272, c_Groups_Ozero__class_Ozero(_u1271)) )).
% 12.23/12.41 cnf(matrix-697, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1271) | ~c_Orderings_Oord__class_Oless(_u1271, _u1272, c_Groups_Ozero__class_Ozero(_u1271)) | c_Orderings_Oord__class_Oless(_u1271, c_Groups_Oplus__class_Oplus(_u1271, _u1272, _u1272), c_Groups_Ozero__class_Ozero(_u1271)) )).
% 12.23/12.41 cnf(matrix-698, plain, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1273, _u1274), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1273, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1274, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1273), _u1274))) )).
% 12.23/12.41 cnf(matrix-699, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1277, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1279, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1277 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-700, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1277, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1279, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1279 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-701, plain, ( ( _u1278 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1280 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1278, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u1280, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-702, plain, ( ~class_Rings_Olinordered__idom(_u1281) | ~c_Orderings_Oord__class_Oless__eq(_u1281, c_Groups_Ozero__class_Ozero(_u1281), c_Power_Opower__class_Opower(_u1281, _u1282, c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1283)))) | c_Orderings_Oord__class_Oless__eq(_u1281, c_Groups_Ozero__class_Ozero(_u1281), _u1282) )).
% 12.23/12.41 cnf(matrix-703, plain, ( ~class_Int_Onumber__ring(_u1284) | ( c_Power_Opower__class_Opower(_u1284, c_Int_Onumber__class_Onumber__of(_u1284, c_Int_OMin), c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1285))) = c_Int_Onumber__class_Onumber__of(_u1284, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-704, plain, ( ~class_Int_Onumber__ring(_u1286) | ( c_Power_Opower__class_Opower(_u1286, c_Groups_Ominus__class_Ominus(_u1286, _u1287, _u1288), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ominus__class_Ominus(_u1286, c_Groups_Oplus__class_Oplus(_u1286, c_Power_Opower__class_Opower(_u1286, _u1287, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u1286, _u1288, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(_u1286, c_Groups_Otimes__class_Otimes(_u1286, c_Int_Onumber__class_Onumber__of(_u1286, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1287), _u1288))) )).
% 12.23/12.41 cnf(matrix-705, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1292) | ( _u1292 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), skolem12(_u1292)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-706, plain, ( ( _u1293 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u1290), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1293) )).
% 12.23/12.41 cnf(matrix-707, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1294) )).
% 12.23/12.41 cnf(matrix-708, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1295) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1296, _u1295), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1297, _u1295)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1296, _u1297) )).
% 12.23/12.41 cnf(matrix-709, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1295) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1296, _u1297) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1296, _u1295), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1297, _u1295)) )).
% 12.23/12.41 cnf(matrix-710, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1298) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1299), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1300)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1299, _u1300) )).
% 12.23/12.41 cnf(matrix-711, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1298) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1299, _u1300) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1299), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1298, _u1300)) )).
% 12.23/12.41 cnf(matrix-712, plain, ( ~class_Rings_Olinordered__semidom(_u1301) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1302, _u1303) | ~c_Orderings_Oord__class_Oless__eq(_u1301, c_Groups_Ozero__class_Ozero(_u1301), _u1304) | ~c_Orderings_Oord__class_Oless__eq(_u1301, _u1304, c_Groups_Oone__class_Oone(_u1301)) | c_Orderings_Oord__class_Oless__eq(_u1301, c_Power_Opower__class_Opower(_u1301, _u1304, _u1303), c_Power_Opower__class_Opower(_u1301, _u1304, _u1302)) )).
% 12.23/12.41 cnf(matrix-713, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1307, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1309, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1307, _u1309) )).
% 12.23/12.41 cnf(matrix-714, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1308, _u1310) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1308, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1310, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-715, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1311, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1312, _u1313)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1311, _u1313) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1311, _u1312) )).
% 12.23/12.41 cnf(matrix-716, plain, ( ~class_Rings_Olinordered__semidom(_u1314) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1315, _u1316) | ~c_Orderings_Oord__class_Oless__eq(_u1314, c_Groups_Oone__class_Oone(_u1314), _u1317) | c_Orderings_Oord__class_Oless__eq(_u1314, c_Power_Opower__class_Opower(_u1314, _u1317, _u1315), c_Power_Opower__class_Opower(_u1314, _u1317, _u1316)) )).
% 12.23/12.41 cnf(matrix-717, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1318, _u1319) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1320, _u1318), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1320, _u1319)) )).
% 12.23/12.41 cnf(matrix-718, plain, ( ~class_Rings_Olinordered__semidom(_u1321) | ~c_Orderings_Oord__class_Oless(_u1321, c_Groups_Oone__class_Oone(_u1321), _u1322) | ~c_Orderings_Oord__class_Oless__eq(_u1321, c_Power_Opower__class_Opower(_u1321, _u1322, _u1323), c_Power_Opower__class_Opower(_u1321, _u1322, _u1324)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1323, _u1324) )).
% 12.23/12.41 cnf(matrix-719, plain, ( ~class_Rings_Olinordered__semidom(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, c_Groups_Oone__class_Oone(_u1325), _u1326) | ~c_Orderings_Oord__class_Oless__eq(_u1325, c_Power_Opower__class_Opower(_u1325, _u1326, _u1327), c_Power_Opower__class_Opower(_u1325, _u1326, _u1328)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1327, _u1328) )).
% 12.23/12.41 cnf(matrix-720, plain, ( ~class_Rings_Olinordered__semidom(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, c_Groups_Oone__class_Oone(_u1325), _u1326) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1327, _u1328) | c_Orderings_Oord__class_Oless__eq(_u1325, c_Power_Opower__class_Opower(_u1325, _u1326, _u1327), c_Power_Opower__class_Opower(_u1325, _u1326, _u1328)) )).
% 12.23/12.41 cnf(matrix-721, plain, ( ~class_Rings_Olinordered__semidom(_u1329) | ~c_Orderings_Oord__class_Oless__eq(_u1329, c_Groups_Oone__class_Oone(_u1329), _u1330) | c_Orderings_Oord__class_Oless__eq(_u1329, c_Groups_Oone__class_Oone(_u1329), c_Power_Opower__class_Opower(_u1329, _u1330, _u1331)) )).
% 12.23/12.41 cnf(matrix-722, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1334, _u1336) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1334, _u1336) | ( _u1334 = _u1336) )).
% 12.23/12.41 cnf(matrix-723, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1335, _u1337) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1335, _u1337) )).
% 12.23/12.41 cnf(matrix-724, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1335, _u1337) | ( _u1335 != _u1337) )).
% 12.23/12.41 cnf(matrix-725, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1340, _u1342) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1340, _u1342) )).
% 12.23/12.41 cnf(matrix-726, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1340, _u1342) | ( _u1340 != _u1342) )).
% 12.23/12.41 cnf(matrix-727, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1341, _u1343) | ( _u1341 = _u1343) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1341, _u1343) )).
% 12.23/12.41 cnf(matrix-728, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1344, _u1344) )).
% 12.23/12.41 cnf(matrix-729, plain, ( ( _u1347 = _u1349) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1347, _u1349) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1349, _u1347) )).
% 12.23/12.41 cnf(matrix-730, plain, ( ( _u1348 != _u1350) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1348, _u1350) )).
% 12.23/12.41 cnf(matrix-731, plain, ( ( _u1348 != _u1350) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1350, _u1348) )).
% 12.23/12.41 cnf(matrix-732, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1353, _u1355) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1353, _u1355) )).
% 12.23/12.41 cnf(matrix-733, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1353, _u1355) | ( _u1353 != _u1355) )).
% 12.23/12.41 cnf(matrix-734, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1354, _u1356) | ( _u1354 = _u1356) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1354, _u1356) )).
% 12.23/12.41 cnf(matrix-735, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1359, _u1361) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1359, _u1361) | ( _u1359 = _u1361) )).
% 12.23/12.41 cnf(matrix-736, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1360, _u1362) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1360, _u1362) )).
% 12.23/12.41 cnf(matrix-737, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1360, _u1362) | ( _u1360 != _u1362) )).
% 12.23/12.41 cnf(matrix-738, plain, ( ( _u1363 = _u1364) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1363, _u1364) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1364, _u1363) )).
% 12.23/12.41 cnf(matrix-739, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1365, _u1365) )).
% 12.23/12.41 cnf(matrix-740, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1366, _u1367) | ( _u1367 != _u1366) )).
% 12.23/12.41 cnf(matrix-741, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1368, _u1369) | ( _u1368 != _u1369) )).
% 12.23/12.41 cnf(matrix-742, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1370, _u1371) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1370, _u1371) )).
% 12.23/12.41 cnf(matrix-743, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1372, _u1373) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1372, _u1374), _u1373) )).
% 12.23/12.41 cnf(matrix-744, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1375, _u1376) | ( _u1375 = _u1376) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1375, _u1376) )).
% 12.23/12.41 cnf(matrix-745, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1377, _u1378) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1379, _u1377) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1377, _u1379), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1378, _u1379)) )).
% 12.23/12.41 cnf(matrix-746, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1380, _u1381) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1380, _u1382) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1382, _u1381), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1382, _u1380)) )).
% 12.23/12.41 cnf(matrix-747, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1384) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1385) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1384, _u1383), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1385, _u1383)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1384, _u1385) )).
% 12.23/12.41 cnf(matrix-748, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1384) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1383, _u1385) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1384, _u1385) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1384, _u1383), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1385, _u1383)) )).
% 12.23/12.41 cnf(matrix-749, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1386, _u1387) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1386, _u1387) )).
% 12.23/12.41 cnf(matrix-750, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1386, _u1387) | ( _u1386 != _u1387) )).
% 12.23/12.41 cnf(matrix-751, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1388, _u1389) | ( _u1388 = _u1389) | hBOOL(hAPP(hAPP(_u1390, _u1389), _u1388)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1389, _u1388) )).
% 12.23/12.41 cnf(matrix-752, plain, ( ~class_Int_Onumber__ring(_u1391) | ~class_Rings_Olinordered__idom(_u1391) | ~c_Orderings_Oord__class_Oless__eq(_u1391, c_Int_Onumber__class_Onumber__of(_u1391, _u1392), c_Int_Onumber__class_Onumber__of(_u1391, _u1393)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1392, _u1393) )).
% 12.23/12.41 cnf(matrix-753, plain, ( ~class_Int_Onumber__ring(_u1391) | ~class_Rings_Olinordered__idom(_u1391) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1392, _u1393) | c_Orderings_Oord__class_Oless__eq(_u1391, c_Int_Onumber__class_Onumber__of(_u1391, _u1392), c_Int_Onumber__class_Onumber__of(_u1391, _u1393)) )).
% 12.23/12.41 cnf(matrix-754, plain, ( ~class_Groups_Oone(_u1394) | ( c_Groups_Oone__class_Oone(_u1394) != _u1395) | ( _u1395 = c_Groups_Oone__class_Oone(_u1394)) )).
% 12.23/12.41 cnf(matrix-755, plain, ( ~class_Groups_Oone(_u1394) | ( _u1395 != c_Groups_Oone__class_Oone(_u1394)) | ( c_Groups_Oone__class_Oone(_u1394) = _u1395) )).
% 12.23/12.41 cnf(matrix-756, plain, ( ~class_Groups_Oab__group__add(_u1396) | ( c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398) != c_Groups_Ominus__class_Ominus(_u1396, _u1399, _u1400)) | ( _u1397 != _u1398) | ( _u1399 = _u1400) )).
% 12.23/12.41 cnf(matrix-757, plain, ( ~class_Groups_Oab__group__add(_u1396) | ( c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398) != c_Groups_Ominus__class_Ominus(_u1396, _u1399, _u1400)) | ( _u1399 != _u1400) | ( _u1397 = _u1398) )).
% 12.23/12.41 cnf(matrix-758, plain, ( ~class_Groups_Oordered__ab__group__add(_u1401) | ( c_Groups_Ominus__class_Ominus(_u1401, _u1402, _u1403) != c_Groups_Ominus__class_Ominus(_u1401, _u1404, _u1405)) | ~c_Orderings_Oord__class_Oless__eq(_u1401, _u1402, _u1403) | c_Orderings_Oord__class_Oless__eq(_u1401, _u1404, _u1405) )).
% 12.23/12.41 cnf(matrix-759, plain, ( ~class_Groups_Oordered__ab__group__add(_u1401) | ( c_Groups_Ominus__class_Ominus(_u1401, _u1402, _u1403) != c_Groups_Ominus__class_Ominus(_u1401, _u1404, _u1405)) | ~c_Orderings_Oord__class_Oless__eq(_u1401, _u1404, _u1405) | c_Orderings_Oord__class_Oless__eq(_u1401, _u1402, _u1403) )).
% 12.23/12.41 cnf(matrix-760, plain, ( ~class_Int_Onumber__ring(_u1406) | ( c_Int_Onumber__class_Onumber__of(_u1406, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1407, _u1408)) = c_Groups_Ominus__class_Ominus(_u1406, c_Int_Onumber__class_Onumber__of(_u1406, _u1407), c_Int_Onumber__class_Onumber__of(_u1406, _u1408))) )).
% 12.23/12.41 cnf(matrix-761, plain, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, _u1411) | c_Orderings_Oord__class_Oless__eq(_u1409, c_Groups_Ominus__class_Ominus(_u1409, _u1410, _u1411), c_Groups_Ozero__class_Ozero(_u1409)) )).
% 12.23/12.41 cnf(matrix-762, plain, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, c_Groups_Ominus__class_Ominus(_u1409, _u1410, _u1411), c_Groups_Ozero__class_Ozero(_u1409)) | c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, _u1411) )).
% 12.23/12.41 cnf(matrix-763, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1412, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1413, _u1414)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1412, _u1414) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1414, _u1413) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1412, _u1413) )).
% 12.23/12.41 cnf(matrix-764, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1415, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1416, _u1417)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1415, _u1416) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1417, _u1416) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1415, _u1417) )).
% 12.23/12.41 cnf(matrix-765, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1418, _u1419) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1419, _u1420), _u1418) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1419, _u1418), _u1420)) )).
% 12.23/12.41 cnf(matrix-766, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1421, _u1422) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1422, _u1421), _u1423) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1422, _u1423), _u1421)) )).
% 12.23/12.41 cnf(matrix-767, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1424, _u1425) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1426, _u1425), _u1424) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1426, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1425, _u1424))) )).
% 12.23/12.41 cnf(matrix-768, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1427, _u1428) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1428, _u1427) != _u1429) | ( _u1428 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1429, _u1427)) )).
% 12.23/12.41 cnf(matrix-769, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1427, _u1428) | ( _u1428 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1429, _u1427)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1428, _u1427) = _u1429) )).
% 12.23/12.41 cnf(matrix-770, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1430, _u1431) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1431, _u1430), _u1430) = _u1431) )).
% 12.23/12.41 cnf(matrix-771, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1432, _u1433) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1434, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1433, _u1432)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1434, _u1432), _u1433) )).
% 12.23/12.41 cnf(matrix-772, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1432, _u1433) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1434, _u1432), _u1433) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1434, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1433, _u1432)) )).
% 12.23/12.41 cnf(matrix-773, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1435, _u1436) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1437, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1436, _u1435)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1437, _u1436), _u1435)) )).
% 12.23/12.41 cnf(matrix-774, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1438, _u1439) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1438, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1439, _u1438)) = _u1439) )).
% 12.23/12.41 cnf(matrix-775, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1440, _u1441) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1442, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1441, _u1442), _u1440)) )).
% 12.23/12.41 cnf(matrix-776, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1446, _u1448), _u1450) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1446, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1450, _u1448)) )).
% 12.23/12.41 cnf(matrix-777, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1447, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1451, _u1449)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1447, _u1449), _u1451) )).
% 12.23/12.41 cnf(matrix-778, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1452, _u1453) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1454, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1453, _u1452)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1454, _u1452), _u1453)) )).
% 12.23/12.41 cnf(matrix-779, plain, ( ~class_Rings_Oring__1(_u1455) | ( c_Groups_Ominus__class_Ominus(_u1455, c_Groups_Otimes__class_Otimes(_u1455, _u1456, _u1456), c_Groups_Oone__class_Oone(_u1455)) = c_Groups_Otimes__class_Otimes(_u1455, c_Groups_Oplus__class_Oplus(_u1455, _u1456, c_Groups_Oone__class_Oone(_u1455)), c_Groups_Ominus__class_Ominus(_u1455, _u1456, c_Groups_Oone__class_Oone(_u1455)))) )).
% 12.23/12.41 cnf(matrix-780, plain, ( ~class_Int_Onumber__ring(_u1457) | ~class_Rings_Olinordered__idom(_u1457) | ~c_Orderings_Oord__class_Oless__eq(_u1457, c_Int_Onumber__class_Onumber__of(_u1457, _u1458), c_Groups_Oone__class_Oone(_u1457)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1458, c_Int_OBit1(c_Int_OPls)) )).
% 12.23/12.41 cnf(matrix-781, plain, ( ~class_Int_Onumber__ring(_u1457) | ~class_Rings_Olinordered__idom(_u1457) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1458, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless__eq(_u1457, c_Int_Onumber__class_Onumber__of(_u1457, _u1458), c_Groups_Oone__class_Oone(_u1457)) )).
% 12.23/12.41 cnf(matrix-782, plain, ( ~class_Int_Onumber__ring(_u1459) | ~class_Rings_Olinordered__idom(_u1459) | ~c_Orderings_Oord__class_Oless__eq(_u1459, c_Groups_Oone__class_Oone(_u1459), c_Int_Onumber__class_Onumber__of(_u1459, _u1460)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1460) )).
% 12.23/12.41 cnf(matrix-783, plain, ( ~class_Int_Onumber__ring(_u1459) | ~class_Rings_Olinordered__idom(_u1459) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1460) | c_Orderings_Oord__class_Oless__eq(_u1459, c_Groups_Oone__class_Oone(_u1459), c_Int_Onumber__class_Onumber__of(_u1459, _u1460)) )).
% 12.23/12.41 cnf(matrix-784, plain, ( ~class_Rings_Oordered__ring(_u1461) | ~c_Orderings_Oord__class_Oless__eq(_u1461, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1462, _u1463), _u1464), c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1465, _u1463), _u1466)) | c_Orderings_Oord__class_Oless__eq(_u1461, _u1464, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, c_Groups_Ominus__class_Ominus(_u1461, _u1465, _u1462), _u1463), _u1466)) )).
% 12.23/12.41 cnf(matrix-785, plain, ( ~class_Rings_Oordered__ring(_u1461) | ~c_Orderings_Oord__class_Oless__eq(_u1461, _u1464, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, c_Groups_Ominus__class_Ominus(_u1461, _u1465, _u1462), _u1463), _u1466)) | c_Orderings_Oord__class_Oless__eq(_u1461, c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1462, _u1463), _u1464), c_Groups_Oplus__class_Oplus(_u1461, c_Groups_Otimes__class_Otimes(_u1461, _u1465, _u1463), _u1466)) )).
% 12.23/12.41 cnf(matrix-786, plain, ( ~class_Rings_Oordered__ring(_u1467) | ~c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1468, _u1469), _u1470), c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1471, _u1469), _u1472)) | c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, c_Groups_Ominus__class_Ominus(_u1467, _u1468, _u1471), _u1469), _u1470), _u1472) )).
% 12.23/12.41 cnf(matrix-787, plain, ( ~class_Rings_Oordered__ring(_u1467) | ~c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, c_Groups_Ominus__class_Ominus(_u1467, _u1468, _u1471), _u1469), _u1470), _u1472) | c_Orderings_Oord__class_Oless__eq(_u1467, c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1468, _u1469), _u1470), c_Groups_Oplus__class_Oplus(_u1467, c_Groups_Otimes__class_Otimes(_u1467, _u1471, _u1469), _u1472)) )).
% 12.23/12.41 cnf(matrix-788, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1475, _u1477) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1475, _u1477), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-789, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1476, _u1478), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1476, _u1478) )).
% 12.23/12.41 cnf(matrix-790, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-791, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1480), c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1480, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-792, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1481, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1481), c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-793, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-794, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-795, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u1483)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, _u1483) )).
% 12.23/12.41 cnf(matrix-796, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, _u1484) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u1484)) )).
% 12.23/12.41 cnf(matrix-797, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1486), c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1486, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-798, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1487, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1487), c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-799, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1488, _u1489) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1488, _u1489) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-800, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1492, _u1494) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1492, _u1494) )).
% 12.23/12.41 cnf(matrix-801, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1493, _u1495) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1493, _u1495) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-802, plain, ( ~class_Rings_Olinordered__semidom(_u1496) | ~c_Orderings_Oord__class_Oless__eq(_u1496, c_Groups_Oone__class_Oone(_u1496), c_Groups_Ozero__class_Ozero(_u1496)) )).
% 12.23/12.41 cnf(matrix-803, plain, ( ~class_Rings_Olinordered__semidom(_u1497) | c_Orderings_Oord__class_Oless__eq(_u1497, c_Groups_Ozero__class_Ozero(_u1497), c_Groups_Oone__class_Oone(_u1497)) )).
% 12.23/12.41 cnf(matrix-804, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1498, _u1499) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1499), _u1498) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1499, _u1498))) )).
% 12.23/12.41 cnf(matrix-805, plain, ( ~class_Rings_Olinordered__idom(_u1500) | ~c_Orderings_Oord__class_Oless__eq(_u1500, c_Groups_Ozero__class_Ozero(_u1500), _u1501) | ~c_Orderings_Oord__class_Oless__eq(_u1500, c_Groups_Ozero__class_Ozero(_u1500), _u1502) | ~c_Orderings_Oord__class_Oless__eq(_u1500, _u1502, c_Groups_Oone__class_Oone(_u1500)) | c_Orderings_Oord__class_Oless__eq(_u1500, c_Groups_Otimes__class_Otimes(_u1500, _u1502, _u1501), _u1501) )).
% 12.23/12.41 cnf(matrix-806, plain, ( ~class_Rings_Olinordered__idom(_u1503) | ~c_Orderings_Oord__class_Oless__eq(_u1503, c_Groups_Ozero__class_Ozero(_u1503), _u1504) | ~c_Orderings_Oord__class_Oless__eq(_u1503, c_Groups_Ozero__class_Ozero(_u1503), _u1505) | ~c_Orderings_Oord__class_Oless__eq(_u1503, _u1505, c_Groups_Oone__class_Oone(_u1503)) | c_Orderings_Oord__class_Oless__eq(_u1503, c_Groups_Otimes__class_Otimes(_u1503, _u1504, _u1505), _u1504) )).
% 12.23/12.41 cnf(matrix-807, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1506)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, _u1506))) )).
% 12.23/12.41 cnf(matrix-808, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u1507)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, _u1507))) )).
% 12.23/12.41 cnf(matrix-809, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u1508)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OMin, _u1508))) )).
% 12.23/12.41 cnf(matrix-810, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1509, _u1510) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1511, c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1510, _u1509))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1511, _u1509), c_Nat_OSuc(_u1510))) )).
% 12.23/12.41 cnf(matrix-811, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1512, _u1513) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1513, _u1512)), _u1514) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1513), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1512, _u1514))) )).
% 12.23/12.41 cnf(matrix-812, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u1516)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u1516) )).
% 12.23/12.41 cnf(matrix-813, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u1517) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u1517)) )).
% 12.23/12.41 cnf(matrix-814, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u1519), c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1519, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-815, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1520, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u1520), c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-816, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1521, _u1522) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1522, _u1523), _u1524), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1521, _u1523), _u1525)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1522, _u1521), _u1523), _u1524), _u1525) )).
% 12.23/12.41 cnf(matrix-817, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1521, _u1522) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1522, _u1521), _u1523), _u1524), _u1525) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1522, _u1523), _u1524), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1521, _u1523), _u1525)) )).
% 12.23/12.41 cnf(matrix-818, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1526, _u1527) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1527, _u1528), _u1529), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1526, _u1528), _u1530)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1527, _u1526), _u1528), _u1529), _u1530)) )).
% 12.23/12.41 cnf(matrix-819, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1531, _u1532) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1532, _u1533), _u1534) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1531, _u1533), _u1535)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1532, _u1531), _u1533), _u1534) = _u1535) )).
% 12.23/12.41 cnf(matrix-820, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1531, _u1532) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1532, _u1531), _u1533), _u1534) != _u1535) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1532, _u1533), _u1534) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1531, _u1533), _u1535)) )).
% 12.23/12.41 cnf(matrix-821, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1536, _u1537) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1536, _u1538), _u1539), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1537, _u1538), _u1540)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1539, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1537, _u1536), _u1538), _u1540)) )).
% 12.23/12.41 cnf(matrix-822, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1536, _u1537) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1539, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1537, _u1536), _u1538), _u1540)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1536, _u1538), _u1539), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1537, _u1538), _u1540)) )).
% 12.23/12.41 cnf(matrix-823, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1541, _u1542) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1541, _u1543), _u1544), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1542, _u1543), _u1545)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1544, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1542, _u1541), _u1543), _u1545))) )).
% 12.23/12.41 cnf(matrix-824, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1546, _u1547) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1546, _u1548), _u1549) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1547, _u1548), _u1550)) | ( _u1549 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1546), _u1548), _u1550)) )).
% 12.23/12.41 cnf(matrix-825, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1546, _u1547) | ( _u1549 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1546), _u1548), _u1550)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1546, _u1548), _u1549) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1547, _u1548), _u1550)) )).
% 12.23/12.41 cnf(matrix-826, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1551, _u1552) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1552, _u1553), _u1554), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1551, _u1553), _u1555)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1552, _u1551), _u1553), _u1554), _u1555) )).
% 12.23/12.41 cnf(matrix-827, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1551, _u1552) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1552, _u1551), _u1553), _u1554), _u1555) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1552, _u1553), _u1554), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1551, _u1553), _u1555)) )).
% 12.23/12.41 cnf(matrix-828, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1556, _u1557) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1556, _u1558), _u1559), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1557, _u1558), _u1560)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1559, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1557, _u1556), _u1558), _u1560)) )).
% 12.23/12.41 cnf(matrix-829, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1556, _u1557) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1559, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1557, _u1556), _u1558), _u1560)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1556, _u1558), _u1559), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1557, _u1558), _u1560)) )).
% 12.23/12.41 cnf(matrix-830, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1563), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1565)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1563, _u1565) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1563, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-831, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1564), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1566)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1564, _u1566) )).
% 12.23/12.41 cnf(matrix-832, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1564), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1566)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1564, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-833, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1568) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1568) )).
% 12.23/12.41 cnf(matrix-834, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1569) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1569) )).
% 12.23/12.41 cnf(matrix-835, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1570, _u1571) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1570 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1570 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-836, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-837, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-838, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1574 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-839, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1574, _u1576) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1576 = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-840, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1575, _u1577) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1575 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1577 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-841, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1575, _u1577) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1575 != c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) | ( _u1577 != c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-842, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1578, _u1579) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1578, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1579) )).
% 12.23/12.41 cnf(matrix-843, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1582, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1584) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1582, _u1584) )).
% 12.23/12.41 cnf(matrix-844, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1583, _u1585) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1583, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1585) )).
% 12.23/12.41 cnf(matrix-845, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1588, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1590, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1588, _u1590) )).
% 12.23/12.41 cnf(matrix-846, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1589, _u1591) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1589, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1591, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-847, plain, ( ~class_Groups_Ogroup__add(_u1592) | ( c_Groups_Ominus__class_Ominus(_u1592, _u1593, _u1594) != c_Groups_Ozero__class_Ozero(_u1592)) | ( _u1593 = _u1594) )).
% 12.23/12.41 cnf(matrix-848, plain, ( ~class_Groups_Ogroup__add(_u1592) | ( _u1593 != _u1594) | ( c_Groups_Ominus__class_Ominus(_u1592, _u1593, _u1594) = c_Groups_Ozero__class_Ozero(_u1592)) )).
% 12.23/12.41 cnf(matrix-849, plain, ( ~class_Groups_Oab__group__add(_u1595) | ( _u1596 != _u1597) | ( c_Groups_Ominus__class_Ominus(_u1595, _u1596, _u1597) = c_Groups_Ozero__class_Ozero(_u1595)) )).
% 12.23/12.41 cnf(matrix-850, plain, ( ~class_Groups_Oab__group__add(_u1595) | ( c_Groups_Ominus__class_Ominus(_u1595, _u1596, _u1597) != c_Groups_Ozero__class_Ozero(_u1595)) | ( _u1596 = _u1597) )).
% 12.23/12.41 cnf(matrix-851, plain, ( ~class_Groups_Ogroup__add(_u1598) | ( c_Groups_Ominus__class_Ominus(_u1598, _u1599, _u1599) = c_Groups_Ozero__class_Ozero(_u1598)) )).
% 12.23/12.41 cnf(matrix-852, plain, ( ~class_Groups_Ogroup__add(_u1600) | ( c_Groups_Ominus__class_Ominus(_u1600, _u1601, c_Groups_Ozero__class_Ozero(_u1600)) = _u1601) )).
% 12.23/12.41 cnf(matrix-853, plain, ( ~class_Groups_Oordered__ab__group__add(_u1602) | ( c_Groups_Ominus__class_Ominus(_u1602, _u1603, _u1604) != c_Groups_Ominus__class_Ominus(_u1602, _u1605, _u1606)) | ~c_Orderings_Oord__class_Oless(_u1602, _u1603, _u1604) | c_Orderings_Oord__class_Oless(_u1602, _u1605, _u1606) )).
% 12.23/12.41 cnf(matrix-854, plain, ( ~class_Groups_Oordered__ab__group__add(_u1602) | ( c_Groups_Ominus__class_Ominus(_u1602, _u1603, _u1604) != c_Groups_Ominus__class_Ominus(_u1602, _u1605, _u1606)) | ~c_Orderings_Oord__class_Oless(_u1602, _u1605, _u1606) | c_Orderings_Oord__class_Oless(_u1602, _u1603, _u1604) )).
% 12.23/12.41 cnf(matrix-855, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1607) | ( c_Groups_Otimes__class_Otimes(_u1607, _u1608, c_Groups_Ominus__class_Ominus(_u1607, _u1609, _u1610)) = c_Groups_Ominus__class_Ominus(_u1607, c_Groups_Otimes__class_Otimes(_u1607, _u1608, _u1609), c_Groups_Otimes__class_Otimes(_u1607, _u1608, _u1610))) )).
% 12.23/12.41 cnf(matrix-856, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1611) | ( c_Groups_Otimes__class_Otimes(_u1611, _u1612, c_Groups_Ominus__class_Ominus(_u1611, _u1613, _u1614)) = c_Groups_Ominus__class_Ominus(_u1611, c_Groups_Otimes__class_Otimes(_u1611, _u1612, _u1613), c_Groups_Otimes__class_Otimes(_u1611, _u1612, _u1614))) )).
% 12.23/12.41 cnf(matrix-857, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1615) | ( c_Groups_Otimes__class_Otimes(_u1615, c_Groups_Ominus__class_Ominus(_u1615, _u1616, _u1617), _u1618) = c_Groups_Ominus__class_Ominus(_u1615, c_Groups_Otimes__class_Otimes(_u1615, _u1616, _u1618), c_Groups_Otimes__class_Otimes(_u1615, _u1617, _u1618))) )).
% 12.23/12.41 cnf(matrix-858, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1619) | ( c_Groups_Otimes__class_Otimes(_u1619, c_Groups_Ominus__class_Ominus(_u1619, _u1620, _u1621), _u1622) = c_Groups_Ominus__class_Ominus(_u1619, c_Groups_Otimes__class_Otimes(_u1619, _u1620, _u1622), c_Groups_Otimes__class_Otimes(_u1619, _u1621, _u1622))) )).
% 12.23/12.41 cnf(matrix-859, plain, ( ~class_Groups_Ogroup__add(_u1623) | ( c_Groups_Ominus__class_Ominus(_u1623, c_Groups_Oplus__class_Oplus(_u1623, _u1624, _u1625), _u1625) = _u1624) )).
% 12.23/12.41 cnf(matrix-860, plain, ( ~class_Groups_Ogroup__add(_u1626) | ( c_Groups_Oplus__class_Oplus(_u1626, c_Groups_Ominus__class_Ominus(_u1626, _u1627, _u1628), _u1628) = _u1627) )).
% 12.23/12.41 cnf(matrix-861, plain, ( ~class_Rings_Olinordered__semidom(_u1629) | ~c_Orderings_Oord__class_Oless__eq(_u1629, c_Groups_Ozero__class_Ozero(_u1629), _u1630) | ~c_Orderings_Oord__class_Oless__eq(_u1629, _u1630, c_Groups_Oone__class_Oone(_u1629)) | c_Orderings_Oord__class_Oless__eq(_u1629, c_Power_Opower__class_Opower(_u1629, _u1630, c_Nat_OSuc(_u1631)), _u1630) )).
% 12.23/12.41 cnf(matrix-862, plain, ( ~class_Rings_Ocomm__ring__1(_u1632) | ~c_Rings_Odvd__class_Odvd(_u1632, _u1633, _u1634) | ~c_Rings_Odvd__class_Odvd(_u1632, _u1633, _u1635) | c_Rings_Odvd__class_Odvd(_u1632, _u1633, c_Groups_Ominus__class_Ominus(_u1632, _u1634, _u1635)) )).
% 12.23/12.41 cnf(matrix-863, plain, ( ~class_Rings_Ozero__neq__one(_u1636) | ( c_Groups_Ozero__class_Ozero(_u1636) != c_Groups_Oone__class_Oone(_u1636)) )).
% 12.23/12.41 cnf(matrix-864, plain, ( ~class_Rings_Ozero__neq__one(_u1637) | ( c_Groups_Oone__class_Oone(_u1637) != c_Groups_Ozero__class_Ozero(_u1637)) )).
% 12.23/12.41 cnf(matrix-865, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1638, c_Int_OPls) = _u1638) )).
% 12.23/12.41 cnf(matrix-866, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit0(_u1639), c_Int_OBit0(_u1640)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1639, _u1640))) )).
% 12.23/12.41 cnf(matrix-867, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1641, _u1642) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1642, _u1641) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1641 = _u1642) )).
% 12.23/12.41 cnf(matrix-868, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1643, _u1643) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-869, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1644, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1644) )).
% 12.23/12.41 cnf(matrix-870, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1645) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-871, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1646) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1647) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1647, _u1646), _u1647) )).
% 12.23/12.41 cnf(matrix-872, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1650, _u1652)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1652, _u1650) )).
% 12.23/12.41 cnf(matrix-873, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1653, _u1651) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1651, _u1653)) )).
% 12.23/12.41 cnf(matrix-874, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-875, plain, ( ( c_Int_OMin != c_Int_OBit1(_u1655)) | ( c_Int_OMin = _u1655) )).
% 12.23/12.41 cnf(matrix-876, plain, ( ( c_Int_OMin != _u1656) | ( c_Int_OMin = c_Int_OBit1(_u1656)) )).
% 12.23/12.41 cnf(matrix-877, plain, ( ( c_Int_OBit1(_u1658) != c_Int_OMin) | ( _u1658 = c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-878, plain, ( ( _u1659 != c_Int_OMin) | ( c_Int_OBit1(_u1659) = c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-879, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-880, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-881, plain, ( ~class_Rings_Ocomm__semiring__1(_u1660) | ( c_Groups_Otimes__class_Otimes(_u1660, c_Groups_Oone__class_Oone(_u1660), _u1661) = _u1661) )).
% 12.23/12.41 cnf(matrix-882, plain, ( ~class_Rings_Ocomm__semiring__1(_u1662) | ( c_Groups_Otimes__class_Otimes(_u1662, _u1663, c_Groups_Oone__class_Oone(_u1662)) = _u1663) )).
% 12.23/12.41 cnf(matrix-883, plain, ( ~class_Groups_Omonoid__mult(_u1664) | ( c_Groups_Otimes__class_Otimes(_u1664, c_Groups_Oone__class_Oone(_u1664), _u1665) = _u1665) )).
% 12.23/12.41 cnf(matrix-884, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1666) | ( c_Groups_Otimes__class_Otimes(_u1666, c_Groups_Oone__class_Oone(_u1666), _u1667) = _u1667) )).
% 12.23/12.41 cnf(matrix-885, plain, ( ~class_Groups_Omonoid__mult(_u1668) | ( c_Groups_Otimes__class_Otimes(_u1668, _u1669, c_Groups_Oone__class_Oone(_u1668)) = _u1669) )).
% 12.23/12.41 cnf(matrix-886, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1670) | ( c_Groups_Otimes__class_Otimes(_u1670, _u1671, c_Groups_Oone__class_Oone(_u1670)) = _u1671) )).
% 12.23/12.41 cnf(matrix-887, plain, ( ( c_Int_OMin != c_Int_OBit0(_u1672)) )).
% 12.23/12.41 cnf(matrix-888, plain, ( ( c_Int_OBit0(_u1673) != c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-889, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1674) | ~c_Orderings_Oord__class_Oless__eq(_u1674, c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1676), c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1677)) | c_Orderings_Oord__class_Oless__eq(_u1674, _u1676, _u1677) )).
% 12.23/12.41 cnf(matrix-890, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1678) | ~c_Orderings_Oord__class_Oless__eq(_u1678, c_Groups_Oplus__class_Oplus(_u1678, _u1679, _u1680), c_Groups_Oplus__class_Oplus(_u1678, _u1681, _u1680)) | c_Orderings_Oord__class_Oless__eq(_u1678, _u1679, _u1681) )).
% 12.23/12.41 cnf(matrix-891, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1682) | ~c_Orderings_Oord__class_Oless__eq(_u1682, _u1683, _u1684) | ~c_Orderings_Oord__class_Oless__eq(_u1682, _u1685, _u1686) | c_Orderings_Oord__class_Oless__eq(_u1682, c_Groups_Oplus__class_Oplus(_u1682, _u1683, _u1685), c_Groups_Oplus__class_Oplus(_u1682, _u1684, _u1686)) )).
% 12.23/12.41 cnf(matrix-892, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1687) | ~c_Orderings_Oord__class_Oless__eq(_u1687, _u1688, _u1689) | c_Orderings_Oord__class_Oless__eq(_u1687, c_Groups_Oplus__class_Oplus(_u1687, _u1690, _u1688), c_Groups_Oplus__class_Oplus(_u1687, _u1690, _u1689)) )).
% 12.23/12.41 cnf(matrix-893, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1691) | ~c_Orderings_Oord__class_Oless__eq(_u1691, _u1692, _u1693) | c_Orderings_Oord__class_Oless__eq(_u1691, c_Groups_Oplus__class_Oplus(_u1691, _u1692, _u1694), c_Groups_Oplus__class_Oplus(_u1691, _u1693, _u1694)) )).
% 12.23/12.41 cnf(matrix-894, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1695) | ~c_Orderings_Oord__class_Oless__eq(_u1695, c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1697), c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1698)) | c_Orderings_Oord__class_Oless__eq(_u1695, _u1697, _u1698) )).
% 12.23/12.41 cnf(matrix-895, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1695) | ~c_Orderings_Oord__class_Oless__eq(_u1695, _u1697, _u1698) | c_Orderings_Oord__class_Oless__eq(_u1695, c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1697), c_Groups_Oplus__class_Oplus(_u1695, _u1696, _u1698)) )).
% 12.23/12.41 cnf(matrix-896, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1699) | ~c_Orderings_Oord__class_Oless__eq(_u1699, c_Groups_Oplus__class_Oplus(_u1699, _u1700, _u1701), c_Groups_Oplus__class_Oplus(_u1699, _u1702, _u1701)) | c_Orderings_Oord__class_Oless__eq(_u1699, _u1700, _u1702) )).
% 12.23/12.41 cnf(matrix-897, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1699) | ~c_Orderings_Oord__class_Oless__eq(_u1699, _u1700, _u1702) | c_Orderings_Oord__class_Oless__eq(_u1699, c_Groups_Oplus__class_Oplus(_u1699, _u1700, _u1701), c_Groups_Oplus__class_Oplus(_u1699, _u1702, _u1701)) )).
% 12.23/12.41 cnf(matrix-898, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1703), c_Nat_OSuc(_u1704)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1703, _u1704)) )).
% 12.23/12.41 cnf(matrix-899, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u1705), _u1706), c_Nat_OSuc(_u1707)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1705, _u1706), _u1707)) )).
% 12.23/12.41 cnf(matrix-900, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1708, _u1709), c_Nat_OSuc(_u1708)) )).
% 12.23/12.41 cnf(matrix-901, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1710, _u1711) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1710, _u1712) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u1710, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1711, _u1712)) )).
% 12.23/12.41 cnf(matrix-902, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1713, _u1714), _u1714) = _u1713) )).
% 12.23/12.41 cnf(matrix-903, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1715, _u1716), _u1715) = _u1716) )).
% 12.23/12.41 cnf(matrix-904, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1717, _u1718), _u1719) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1717, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1718, _u1719))) )).
% 12.23/12.41 cnf(matrix-905, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1720, _u1721), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1720, _u1722)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1721, _u1722)) )).
% 12.23/12.41 cnf(matrix-906, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1723, _u1724), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1725, _u1724)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1723, _u1725)) )).
% 12.23/12.41 cnf(matrix-907, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1729, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1731, _u1733)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1729, _u1733), _u1731) )).
% 12.23/12.41 cnf(matrix-908, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1730, _u1734), _u1732) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1730, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1732, _u1734)) )).
% 12.23/12.41 cnf(matrix-909, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1735, _u1736) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1736, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1735, _u1736)) = _u1735) )).
% 12.23/12.41 cnf(matrix-910, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-911, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1737, _u1738), _u1739) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1737, _u1739), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1738, _u1739))) )).
% 12.23/12.41 cnf(matrix-912, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1740, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1741, _u1742)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1740, _u1741), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1740, _u1742))) )).
% 12.23/12.41 cnf(matrix-913, plain, ( ~class_Rings_Ocomm__semiring__1(_u1743) | c_Rings_Odvd__class_Odvd(_u1743, c_Groups_Oone__class_Oone(_u1743), _u1744) )).
% 12.23/12.41 cnf(matrix-914, plain, ( ~class_Groups_Omonoid__mult(_u1745) | ( c_Power_Opower__class_Opower(_u1745, c_Groups_Oone__class_Oone(_u1745), _u1746) = c_Groups_Oone__class_Oone(_u1745)) )).
% 12.23/12.41 cnf(matrix-915, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1747, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1748, _u1749)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1747, _u1748), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1747, _u1749))) )).
% 12.23/12.41 cnf(matrix-916, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1750, _u1751), _u1752) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1750, _u1752), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1751, _u1752))) )).
% 12.23/12.41 cnf(matrix-917, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1754, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1754 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-918, plain, ( ( _u1755 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1755, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-919, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1756) )).
% 12.23/12.41 cnf(matrix-920, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1759), c_Int_OBit1(_u1761)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1759, _u1761) )).
% 12.23/12.41 cnf(matrix-921, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1760, _u1762) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1760), c_Int_OBit1(_u1762)) )).
% 12.23/12.41 cnf(matrix-922, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1765), c_Int_OBit1(_u1767)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1765, _u1767) )).
% 12.23/12.41 cnf(matrix-923, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1766, _u1768) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1766), c_Int_OBit1(_u1768)) )).
% 12.23/12.41 cnf(matrix-924, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1769) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1770) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1769, _u1770) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u1770, _u1769) | ( _u1769 = _u1770) )).
% 12.23/12.41 cnf(matrix-925, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1771), _u1771) )).
% 12.23/12.41 cnf(matrix-926, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1774, _u1776) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1776), _u1774) )).
% 12.23/12.41 cnf(matrix-927, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1777), _u1775) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1775, _u1777) )).
% 12.23/12.41 cnf(matrix-928, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1780, c_Nat_OSuc(_u1782)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1780, _u1782) | ( _u1780 = c_Nat_OSuc(_u1782)) )).
% 12.23/12.41 cnf(matrix-929, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1781, c_Nat_OSuc(_u1783)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1781, _u1783) )).
% 12.23/12.41 cnf(matrix-930, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1781, c_Nat_OSuc(_u1783)) | ( _u1781 != c_Nat_OSuc(_u1783)) )).
% 12.23/12.41 cnf(matrix-931, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1786), c_Nat_OSuc(_u1788)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1786, _u1788) )).
% 12.23/12.41 cnf(matrix-932, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1787, _u1789) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1787), c_Nat_OSuc(_u1789)) )).
% 12.23/12.41 cnf(matrix-933, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1790, _u1791) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1790, c_Nat_OSuc(_u1791)) )).
% 12.23/12.41 cnf(matrix-934, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1792, c_Nat_OSuc(_u1793)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1792, _u1793) | ( _u1792 = c_Nat_OSuc(_u1793)) )).
% 12.23/12.41 cnf(matrix-935, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1794), _u1795) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1794, _u1795) )).
% 12.23/12.41 cnf(matrix-936, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1798, _u1800) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1798), _u1800) )).
% 12.23/12.41 cnf(matrix-937, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1799), _u1801) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1799, _u1801) )).
% 12.23/12.41 cnf(matrix-938, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1804, c_Nat_OSuc(_u1806)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1804, _u1806) )).
% 12.23/12.41 cnf(matrix-939, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1805, _u1807) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1805, c_Nat_OSuc(_u1807)) )).
% 12.23/12.41 cnf(matrix-940, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1810), _u1812) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1810, _u1812) )).
% 12.23/12.41 cnf(matrix-941, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1811, _u1813) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1811), _u1813) )).
% 12.23/12.41 cnf(matrix-942, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1814, _u1815) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1814, c_Nat_OSuc(_u1815)) )).
% 12.23/12.41 cnf(matrix-943, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1816, _u1817) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1816), _u1817) )).
% 12.23/12.41 cnf(matrix-944, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1818, _u1819) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1819, c_Nat_OSuc(_u1818)) | ( _u1819 = _u1818) )).
% 12.23/12.41 cnf(matrix-945, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1818, _u1819) | ( _u1819 != _u1818) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1819, c_Nat_OSuc(_u1818)) )).
% 12.23/12.41 cnf(matrix-946, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u1820), _u1821) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1820, _u1821) )).
% 12.23/12.41 cnf(matrix-947, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-948, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1824), c_Int_OBit0(_u1826)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1824, _u1826) )).
% 12.23/12.41 cnf(matrix-949, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1825, _u1827) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1825), c_Int_OBit0(_u1827)) )).
% 12.23/12.41 cnf(matrix-950, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1830), c_Int_OBit0(_u1832)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1830, _u1832) )).
% 12.23/12.41 cnf(matrix-951, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1831, _u1833) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u1831), c_Int_OBit0(_u1833)) )).
% 12.23/12.41 cnf(matrix-952, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1834, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1835, _u1834)) )).
% 12.23/12.41 cnf(matrix-953, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1836, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1836, _u1837)) )).
% 12.23/12.41 cnf(matrix-954, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1842, _u1844) | ( _u1844 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1842, skolem13(_u1844, _u1842))) )).
% 12.23/12.41 cnf(matrix-955, plain, ( ( _u1845 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1843, _u1839)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1843, _u1845) )).
% 12.23/12.41 cnf(matrix-956, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1851, _u1853) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1849, _u1851), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1849, _u1853)) )).
% 12.23/12.41 cnf(matrix-957, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1852, _u1854) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1850, _u1852), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1850, _u1854)) )).
% 12.23/12.41 cnf(matrix-958, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1855, _u1856) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1855, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1856, _u1857)) )).
% 12.23/12.41 cnf(matrix-959, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1858, _u1859) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1858, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1860, _u1859)) )).
% 12.23/12.41 cnf(matrix-960, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1861, _u1862) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1861, _u1863), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1862, _u1863)) )).
% 12.23/12.41 cnf(matrix-961, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1864, _u1865) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1866, _u1867) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1864, _u1866), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1865, _u1867)) )).
% 12.23/12.41 cnf(matrix-962, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1869, _u1870) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1868, _u1869), _u1870) )).
% 12.23/12.41 cnf(matrix-963, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1871, _u1872), _u1873) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1871, _u1873) )).
% 12.23/12.41 cnf(matrix-964, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1874, _u1875), _u1876) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1874, _u1876) )).
% 12.23/12.41 cnf(matrix-965, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1874, _u1875), _u1876) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1875, _u1876) )).
% 12.23/12.41 cnf(matrix-966, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1879, _u1881) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1879, _u1881) )).
% 12.23/12.41 cnf(matrix-967, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1879, _u1881) | ( _u1879 != _u1881) )).
% 12.23/12.41 cnf(matrix-968, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1880, _u1882) | ( _u1880 = _u1882) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1880, _u1882) )).
% 12.23/12.41 cnf(matrix-969, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-970, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1883, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1883, _u1883)) )).
% 12.23/12.41 cnf(matrix-971, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1884, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1884, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1884, _u1884))) )).
% 12.23/12.41 cnf(matrix-972, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1885, _u1886) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1885, _u1887), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1886, _u1887)) )).
% 12.23/12.41 cnf(matrix-973, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1888, _u1889) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1890, _u1888), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1890, _u1889)) )).
% 12.23/12.41 cnf(matrix-974, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1891, _u1892) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1893, _u1894) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1891, _u1893), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1892, _u1894)) )).
% 12.23/12.41 cnf(matrix-975, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1895, _u1896) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1897, _u1895), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1897, _u1896)) )).
% 12.23/12.41 cnf(matrix-976, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1900), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1902)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1900, _u1902) )).
% 12.23/12.41 cnf(matrix-977, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1901, _u1903) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1901), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1903)) )).
% 12.23/12.41 cnf(matrix-978, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1906, _u1908)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1906, _u1908) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1906) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1908) )).
% 12.23/12.41 cnf(matrix-979, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1906, _u1908)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1906, _u1908) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1908) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1906) )).
% 12.23/12.41 cnf(matrix-980, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1907, _u1909)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1907, _u1909) )).
% 12.23/12.41 cnf(matrix-981, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1907, _u1909)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1907) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1909) )).
% 12.23/12.41 cnf(matrix-982, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1907, _u1909)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1907) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1909) )).
% 12.23/12.41 cnf(matrix-983, plain, ( ~class_Rings_Oring(_u1910) | ( c_Groups_Ominus__class_Ominus(_u1910, c_Groups_Otimes__class_Otimes(_u1910, _u1911, _u1912), c_Groups_Otimes__class_Otimes(_u1910, _u1913, _u1914)) = c_Groups_Oplus__class_Oplus(_u1910, c_Groups_Otimes__class_Otimes(_u1910, _u1911, c_Groups_Ominus__class_Ominus(_u1910, _u1912, _u1914)), c_Groups_Otimes__class_Otimes(_u1910, c_Groups_Ominus__class_Ominus(_u1910, _u1911, _u1913), _u1914))) )).
% 12.23/12.41 cnf(matrix-984, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1915, c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1915) )).
% 12.23/12.41 cnf(matrix-985, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1916) = _u1916) )).
% 12.23/12.41 cnf(matrix-986, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1919, _u1921)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1919) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1921) )).
% 12.23/12.41 cnf(matrix-987, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1919, _u1921)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1921) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1919) )).
% 12.23/12.41 cnf(matrix-988, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1920, _u1922)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1920) | ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1922) )).
% 12.23/12.41 cnf(matrix-989, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1920, _u1922)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1920) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u1922) )).
% 12.23/12.41 cnf(matrix-990, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-991, plain, ( ~class_Rings_Olinordered__semiring__1(_u1923) | ~c_Orderings_Oord__class_Oless__eq(_u1923, _u1924, _u1925) | ~c_Orderings_Oord__class_Oless__eq(_u1923, _u1926, _u1925) | ~c_Orderings_Oord__class_Oless__eq(_u1923, c_Groups_Ozero__class_Ozero(_u1923), _u1927) | ~c_Orderings_Oord__class_Oless__eq(_u1923, c_Groups_Ozero__class_Ozero(_u1923), _u1928) | ( c_Groups_Oplus__class_Oplus(_u1923, _u1927, _u1928) != c_Groups_Oone__class_Oone(_u1923)) | c_Orderings_Oord__class_Oless__eq(_u1923, c_Groups_Oplus__class_Oplus(_u1923, c_Groups_Otimes__class_Otimes(_u1923, _u1927, _u1924), c_Groups_Otimes__class_Otimes(_u1923, _u1928, _u1926)), _u1925) )).
% 12.23/12.41 cnf(matrix-992, plain, ( ~class_Int_Onumber__ring(_u1929) | ~class_Rings_Olinordered__idom(_u1929) | ~c_Orderings_Oord__class_Oless__eq(_u1929, c_Groups_Ozero__class_Ozero(_u1929), c_Int_Onumber__class_Onumber__of(_u1929, _u1930)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1930) )).
% 12.23/12.41 cnf(matrix-993, plain, ( ~class_Int_Onumber__ring(_u1929) | ~class_Rings_Olinordered__idom(_u1929) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1930) | c_Orderings_Oord__class_Oless__eq(_u1929, c_Groups_Ozero__class_Ozero(_u1929), c_Int_Onumber__class_Onumber__of(_u1929, _u1930)) )).
% 12.23/12.41 cnf(matrix-994, plain, ( ~class_Int_Onumber__ring(_u1931) | ~class_Rings_Olinordered__idom(_u1931) | ~c_Orderings_Oord__class_Oless__eq(_u1931, c_Int_Onumber__class_Onumber__of(_u1931, _u1932), c_Groups_Ozero__class_Ozero(_u1931)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1932, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-995, plain, ( ~class_Int_Onumber__ring(_u1931) | ~class_Rings_Olinordered__idom(_u1931) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1932, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(_u1931, c_Int_Onumber__class_Onumber__of(_u1931, _u1932), c_Groups_Ozero__class_Ozero(_u1931)) )).
% 12.23/12.41 cnf(matrix-996, plain, ( ~class_Rings_Osemiring__1(_u1933) | ~c_Int_Oiszero(_u1933, c_Groups_Oone__class_Oone(_u1933)) )).
% 12.23/12.41 cnf(matrix-997, plain, ( ~class_Int_Onumber__ring(_u1934) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1935) | ( c_Power_Opower__class_Opower(_u1934, c_Int_Onumber__class_Onumber__of(_u1934, c_Int_OMin), _u1935) = c_Groups_Oone__class_Oone(_u1934)) )).
% 12.23/12.41 cnf(matrix-998, plain, ( ~class_Int_Onumber__ring(_u1936) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1937) | ( c_Power_Opower__class_Opower(_u1936, c_Int_Onumber__class_Onumber__of(_u1936, c_Int_OMin), _u1937) = c_Groups_Oone__class_Oone(_u1936)) )).
% 12.23/12.41 cnf(matrix-999, plain, ( ~class_Int_Onumber__ring(_u1936) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u1937) | ( c_Power_Opower__class_Opower(_u1936, c_Int_Onumber__class_Onumber__of(_u1936, c_Int_OMin), _u1937) = c_Int_Onumber__class_Onumber__of(_u1936, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-1000, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1938) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1938)) )).
% 12.23/12.41 cnf(matrix-1001, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u1939) | ~c_Orderings_Oord__class_Oless(_u1939, _u1940, _u1941) | ~c_Orderings_Oord__class_Oless(_u1939, _u1942, _u1941) | ~c_Orderings_Oord__class_Oless__eq(_u1939, c_Groups_Ozero__class_Ozero(_u1939), _u1943) | ~c_Orderings_Oord__class_Oless__eq(_u1939, c_Groups_Ozero__class_Ozero(_u1939), _u1944) | ( c_Groups_Oplus__class_Oplus(_u1939, _u1943, _u1944) != c_Groups_Oone__class_Oone(_u1939)) | c_Orderings_Oord__class_Oless(_u1939, c_Groups_Oplus__class_Oplus(_u1939, c_Groups_Otimes__class_Otimes(_u1939, _u1943, _u1940), c_Groups_Otimes__class_Otimes(_u1939, _u1944, _u1942)), _u1941) )).
% 12.23/12.41 cnf(matrix-1002, plain, ( ~class_Groups_Oordered__ab__group__add(_u1945) | ~c_Orderings_Oord__class_Oless(_u1945, _u1946, _u1947) | c_Orderings_Oord__class_Oless(_u1945, c_Groups_Ominus__class_Ominus(_u1945, _u1946, _u1947), c_Groups_Ozero__class_Ozero(_u1945)) )).
% 12.23/12.41 cnf(matrix-1003, plain, ( ~class_Groups_Oordered__ab__group__add(_u1945) | ~c_Orderings_Oord__class_Oless(_u1945, c_Groups_Ominus__class_Ominus(_u1945, _u1946, _u1947), c_Groups_Ozero__class_Ozero(_u1945)) | c_Orderings_Oord__class_Oless(_u1945, _u1946, _u1947) )).
% 12.23/12.41 cnf(matrix-1004, plain, ( ~class_Rings_Oring(_u1948) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1949, _u1950), _u1951) != c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1952, _u1950), _u1953)) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, c_Groups_Ominus__class_Ominus(_u1948, _u1949, _u1952), _u1950), _u1951) = _u1953) )).
% 12.23/12.41 cnf(matrix-1005, plain, ( ~class_Rings_Oring(_u1948) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, c_Groups_Ominus__class_Ominus(_u1948, _u1949, _u1952), _u1950), _u1951) != _u1953) | ( c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1949, _u1950), _u1951) = c_Groups_Oplus__class_Oplus(_u1948, c_Groups_Otimes__class_Otimes(_u1948, _u1952, _u1950), _u1953)) )).
% 12.23/12.41 cnf(matrix-1006, plain, ( ~class_Rings_Oring(_u1954) | ( c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1955, _u1956), _u1957) != c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1958, _u1956), _u1959)) | ( _u1957 = c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, c_Groups_Ominus__class_Ominus(_u1954, _u1958, _u1955), _u1956), _u1959)) )).
% 12.23/12.41 cnf(matrix-1007, plain, ( ~class_Rings_Oring(_u1954) | ( _u1957 != c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, c_Groups_Ominus__class_Ominus(_u1954, _u1958, _u1955), _u1956), _u1959)) | ( c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1955, _u1956), _u1957) = c_Groups_Oplus__class_Oplus(_u1954, c_Groups_Otimes__class_Otimes(_u1954, _u1958, _u1956), _u1959)) )).
% 12.23/12.41 cnf(matrix-1008, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1960) | ( c_Groups_Ominus__class_Ominus(_u1960, c_Groups_Otimes__class_Otimes(_u1960, _u1961, _u1962), c_Groups_Otimes__class_Otimes(_u1960, _u1963, _u1964)) = c_Groups_Oplus__class_Oplus(_u1960, c_Groups_Oplus__class_Oplus(_u1960, c_Groups_Otimes__class_Otimes(_u1960, c_Groups_Ominus__class_Ominus(_u1960, _u1961, _u1963), c_Groups_Ominus__class_Ominus(_u1960, _u1962, _u1964)), c_Groups_Otimes__class_Otimes(_u1960, c_Groups_Ominus__class_Ominus(_u1960, _u1961, _u1963), _u1964)), c_Groups_Otimes__class_Otimes(_u1960, _u1963, c_Groups_Ominus__class_Ominus(_u1960, _u1962, _u1964)))) )).
% 12.23/12.41 cnf(matrix-1009, plain, ( ~class_Int_Onumber(_u1965) | ~class_Rings_Oring(_u1965) | ( c_Groups_Otimes__class_Otimes(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), c_Groups_Ominus__class_Ominus(_u1965, _u1967, _u1968)) = c_Groups_Ominus__class_Ominus(_u1965, c_Groups_Otimes__class_Otimes(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), _u1967), c_Groups_Otimes__class_Otimes(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), _u1968))) )).
% 12.23/12.41 cnf(matrix-1010, plain, ( ~class_Int_Onumber(_u1969) | ~class_Rings_Oring(_u1969) | ( c_Groups_Otimes__class_Otimes(_u1969, c_Groups_Ominus__class_Ominus(_u1969, _u1970, _u1971), c_Int_Onumber__class_Onumber__of(_u1969, _u1972)) = c_Groups_Ominus__class_Ominus(_u1969, c_Groups_Otimes__class_Otimes(_u1969, _u1970, c_Int_Onumber__class_Onumber__of(_u1969, _u1972)), c_Groups_Otimes__class_Otimes(_u1969, _u1971, c_Int_Onumber__class_Onumber__of(_u1969, _u1972)))) )).
% 12.23/12.41 cnf(matrix-1011, plain, ( ~class_Rings_Olinordered__semidom(_u1973) | c_Orderings_Oord__class_Oless(_u1973, c_Groups_Ozero__class_Ozero(_u1973), c_Groups_Oone__class_Oone(_u1973)) )).
% 12.23/12.41 cnf(matrix-1012, plain, ( ~class_Rings_Olinordered__semidom(_u1974) | ~c_Orderings_Oord__class_Oless(_u1974, c_Groups_Oone__class_Oone(_u1974), c_Groups_Ozero__class_Ozero(_u1974)) )).
% 12.23/12.41 cnf(matrix-1013, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1975) | c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Otimes__class_Otimes(_u1975, _u1976, _u1977), c_Groups_Ozero__class_Ozero(_u1975)) | ~c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Ozero__class_Ozero(_u1975), _u1976) | ~c_Orderings_Oord__class_Oless__eq(_u1975, _u1977, c_Groups_Ozero__class_Ozero(_u1975)) )).
% 12.23/12.41 cnf(matrix-1014, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1975) | c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Otimes__class_Otimes(_u1975, _u1976, _u1977), c_Groups_Ozero__class_Ozero(_u1975)) | ~c_Orderings_Oord__class_Oless__eq(_u1975, _u1976, c_Groups_Ozero__class_Ozero(_u1975)) | ~c_Orderings_Oord__class_Oless__eq(_u1975, c_Groups_Ozero__class_Ozero(_u1975), _u1977) )).
% 12.23/12.41 cnf(matrix-1015, plain, ( ~class_Rings_Oordered__ring(_u1978) | c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), c_Groups_Otimes__class_Otimes(_u1978, _u1979, _u1980)) | ~c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), _u1979) | ~c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), _u1980) )).
% 12.23/12.41 cnf(matrix-1016, plain, ( ~class_Rings_Oordered__ring(_u1978) | c_Orderings_Oord__class_Oless__eq(_u1978, c_Groups_Ozero__class_Ozero(_u1978), c_Groups_Otimes__class_Otimes(_u1978, _u1979, _u1980)) | ~c_Orderings_Oord__class_Oless__eq(_u1978, _u1979, c_Groups_Ozero__class_Ozero(_u1978)) | ~c_Orderings_Oord__class_Oless__eq(_u1978, _u1980, c_Groups_Ozero__class_Ozero(_u1978)) )).
% 12.23/12.41 cnf(matrix-1017, plain, ( ~class_Rings_Oordered__semiring(_u1981) | ~c_Orderings_Oord__class_Oless__eq(_u1981, _u1982, _u1983) | ~c_Orderings_Oord__class_Oless__eq(_u1981, _u1984, _u1985) | ~c_Orderings_Oord__class_Oless__eq(_u1981, c_Groups_Ozero__class_Ozero(_u1981), _u1983) | ~c_Orderings_Oord__class_Oless__eq(_u1981, c_Groups_Ozero__class_Ozero(_u1981), _u1984) | c_Orderings_Oord__class_Oless__eq(_u1981, c_Groups_Otimes__class_Otimes(_u1981, _u1982, _u1984), c_Groups_Otimes__class_Otimes(_u1981, _u1983, _u1985)) )).
% 12.23/12.41 cnf(matrix-1018, plain, ( ~class_Rings_Oordered__semiring(_u1986) | ~c_Orderings_Oord__class_Oless__eq(_u1986, _u1987, _u1988) | ~c_Orderings_Oord__class_Oless__eq(_u1986, _u1989, _u1990) | ~c_Orderings_Oord__class_Oless__eq(_u1986, c_Groups_Ozero__class_Ozero(_u1986), _u1987) | ~c_Orderings_Oord__class_Oless__eq(_u1986, c_Groups_Ozero__class_Ozero(_u1986), _u1989) | c_Orderings_Oord__class_Oless__eq(_u1986, c_Groups_Otimes__class_Otimes(_u1986, _u1987, _u1989), c_Groups_Otimes__class_Otimes(_u1986, _u1988, _u1990)) )).
% 12.23/12.41 cnf(matrix-1019, plain, ( ~class_Rings_Oordered__ring(_u1991) | ~c_Orderings_Oord__class_Oless__eq(_u1991, _u1992, _u1993) | ~c_Orderings_Oord__class_Oless__eq(_u1991, _u1994, c_Groups_Ozero__class_Ozero(_u1991)) | c_Orderings_Oord__class_Oless__eq(_u1991, c_Groups_Otimes__class_Otimes(_u1991, _u1994, _u1993), c_Groups_Otimes__class_Otimes(_u1991, _u1994, _u1992)) )).
% 12.23/12.41 cnf(matrix-1020, plain, ( ~class_Rings_Oordered__ring(_u1995) | ~c_Orderings_Oord__class_Oless__eq(_u1995, _u1996, _u1997) | ~c_Orderings_Oord__class_Oless__eq(_u1995, _u1998, c_Groups_Ozero__class_Ozero(_u1995)) | c_Orderings_Oord__class_Oless__eq(_u1995, c_Groups_Otimes__class_Otimes(_u1995, _u1997, _u1998), c_Groups_Otimes__class_Otimes(_u1995, _u1996, _u1998)) )).
% 12.23/12.41 cnf(matrix-1021, plain, ( ~class_Rings_Oordered__comm__semiring(_u1999) | ~c_Orderings_Oord__class_Oless__eq(_u1999, _u2000, _u2001) | ~c_Orderings_Oord__class_Oless__eq(_u1999, c_Groups_Ozero__class_Ozero(_u1999), _u2002) | c_Orderings_Oord__class_Oless__eq(_u1999, c_Groups_Otimes__class_Otimes(_u1999, _u2002, _u2000), c_Groups_Otimes__class_Otimes(_u1999, _u2002, _u2001)) )).
% 12.23/12.41 cnf(matrix-1022, plain, ( ~class_Rings_Oordered__semiring(_u2003) | ~c_Orderings_Oord__class_Oless__eq(_u2003, _u2004, _u2005) | ~c_Orderings_Oord__class_Oless__eq(_u2003, c_Groups_Ozero__class_Ozero(_u2003), _u2006) | c_Orderings_Oord__class_Oless__eq(_u2003, c_Groups_Otimes__class_Otimes(_u2003, _u2006, _u2004), c_Groups_Otimes__class_Otimes(_u2003, _u2006, _u2005)) )).
% 12.23/12.41 cnf(matrix-1023, plain, ( ~class_Rings_Oordered__semiring(_u2007) | ~c_Orderings_Oord__class_Oless__eq(_u2007, _u2008, _u2009) | ~c_Orderings_Oord__class_Oless__eq(_u2007, c_Groups_Ozero__class_Ozero(_u2007), _u2010) | c_Orderings_Oord__class_Oless__eq(_u2007, c_Groups_Otimes__class_Otimes(_u2007, _u2008, _u2010), c_Groups_Otimes__class_Otimes(_u2007, _u2009, _u2010)) )).
% 12.23/12.41 cnf(matrix-1024, plain, ( ~class_Rings_Oordered__ring(_u2011) | ~c_Orderings_Oord__class_Oless__eq(_u2011, _u2012, c_Groups_Ozero__class_Ozero(_u2011)) | ~c_Orderings_Oord__class_Oless__eq(_u2011, _u2013, c_Groups_Ozero__class_Ozero(_u2011)) | c_Orderings_Oord__class_Oless__eq(_u2011, c_Groups_Ozero__class_Ozero(_u2011), c_Groups_Otimes__class_Otimes(_u2011, _u2012, _u2013)) )).
% 12.23/12.41 cnf(matrix-1025, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2014) | ~c_Orderings_Oord__class_Oless__eq(_u2014, _u2015, c_Groups_Ozero__class_Ozero(_u2014)) | ~c_Orderings_Oord__class_Oless__eq(_u2014, c_Groups_Ozero__class_Ozero(_u2014), _u2016) | c_Orderings_Oord__class_Oless__eq(_u2014, c_Groups_Otimes__class_Otimes(_u2014, _u2015, _u2016), c_Groups_Ozero__class_Ozero(_u2014)) )).
% 12.23/12.41 cnf(matrix-1026, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2017) | ~c_Orderings_Oord__class_Oless__eq(_u2017, c_Groups_Ozero__class_Ozero(_u2017), _u2018) | ~c_Orderings_Oord__class_Oless__eq(_u2017, _u2019, c_Groups_Ozero__class_Ozero(_u2017)) | c_Orderings_Oord__class_Oless__eq(_u2017, c_Groups_Otimes__class_Otimes(_u2017, _u2019, _u2018), c_Groups_Ozero__class_Ozero(_u2017)) )).
% 12.23/12.41 cnf(matrix-1027, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2020) | ~c_Orderings_Oord__class_Oless__eq(_u2020, c_Groups_Ozero__class_Ozero(_u2020), _u2021) | ~c_Orderings_Oord__class_Oless__eq(_u2020, _u2022, c_Groups_Ozero__class_Ozero(_u2020)) | c_Orderings_Oord__class_Oless__eq(_u2020, c_Groups_Otimes__class_Otimes(_u2020, _u2021, _u2022), c_Groups_Ozero__class_Ozero(_u2020)) )).
% 12.23/12.41 cnf(matrix-1028, plain, ( ~class_Rings_Oordered__cancel__semiring(_u2023) | ~c_Orderings_Oord__class_Oless__eq(_u2023, c_Groups_Ozero__class_Ozero(_u2023), _u2024) | ~c_Orderings_Oord__class_Oless__eq(_u2023, c_Groups_Ozero__class_Ozero(_u2023), _u2025) | c_Orderings_Oord__class_Oless__eq(_u2023, c_Groups_Ozero__class_Ozero(_u2023), c_Groups_Otimes__class_Otimes(_u2023, _u2024, _u2025)) )).
% 12.23/12.41 cnf(matrix-1029, plain, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2027) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2027, c_Groups_Ozero__class_Ozero(_u2026)) )).
% 12.23/12.41 cnf(matrix-1030, plain, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2027) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2028) )).
% 12.23/12.41 cnf(matrix-1031, plain, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2028, c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2027, c_Groups_Ozero__class_Ozero(_u2026)) )).
% 12.23/12.41 cnf(matrix-1032, plain, ( ~class_Rings_Olinordered__ring__strict(_u2026) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, _u2028, c_Groups_Ozero__class_Ozero(_u2026)) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2028) )).
% 12.23/12.41 cnf(matrix-1033, plain, ( ~class_Rings_Olinordered__ring__strict(_u2026) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2027) | ~c_Orderings_Oord__class_Oless__eq(_u2026, _u2028, c_Groups_Ozero__class_Ozero(_u2026)) )).
% 12.23/12.41 cnf(matrix-1034, plain, ( ~class_Rings_Olinordered__ring__strict(_u2026) | c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Otimes__class_Otimes(_u2026, _u2027, _u2028), c_Groups_Ozero__class_Ozero(_u2026)) | ~c_Orderings_Oord__class_Oless__eq(_u2026, _u2027, c_Groups_Ozero__class_Ozero(_u2026)) | ~c_Orderings_Oord__class_Oless__eq(_u2026, c_Groups_Ozero__class_Ozero(_u2026), _u2028) )).
% 12.23/12.41 cnf(matrix-1035, plain, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2030) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2030, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.41 cnf(matrix-1036, plain, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2030) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2031, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.41 cnf(matrix-1037, plain, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2031) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2030, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.41 cnf(matrix-1038, plain, ( ~class_Rings_Olinordered__ring__strict(_u2029) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2031) | c_Orderings_Oord__class_Oless__eq(_u2029, _u2031, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.41 cnf(matrix-1039, plain, ( ~class_Rings_Olinordered__ring__strict(_u2029) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2030) | ~c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), _u2031) )).
% 12.23/12.41 cnf(matrix-1040, plain, ( ~class_Rings_Olinordered__ring__strict(_u2029) | c_Orderings_Oord__class_Oless__eq(_u2029, c_Groups_Ozero__class_Ozero(_u2029), c_Groups_Otimes__class_Otimes(_u2029, _u2030, _u2031)) | ~c_Orderings_Oord__class_Oless__eq(_u2029, _u2030, c_Groups_Ozero__class_Ozero(_u2029)) | ~c_Orderings_Oord__class_Oless__eq(_u2029, _u2031, c_Groups_Ozero__class_Ozero(_u2029)) )).
% 12.23/12.41 cnf(matrix-1041, plain, ( ~class_Rings_Olinordered__ring(_u2032) | c_Orderings_Oord__class_Oless__eq(_u2032, c_Groups_Ozero__class_Ozero(_u2032), c_Groups_Otimes__class_Otimes(_u2032, _u2033, _u2033)) )).
% 12.23/12.41 cnf(matrix-1042, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), c_Groups_Oplus__class_Oplus(_u2034, _u2035, _u2035)) | c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), _u2035) )).
% 12.23/12.41 cnf(matrix-1043, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2034) | ~c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), _u2035) | c_Orderings_Oord__class_Oless__eq(_u2034, c_Groups_Ozero__class_Ozero(_u2034), c_Groups_Oplus__class_Oplus(_u2034, _u2035, _u2035)) )).
% 12.23/12.41 cnf(matrix-1044, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2036) | ~c_Orderings_Oord__class_Oless__eq(_u2036, c_Groups_Oplus__class_Oplus(_u2036, _u2037, _u2037), c_Groups_Ozero__class_Ozero(_u2036)) | c_Orderings_Oord__class_Oless__eq(_u2036, _u2037, c_Groups_Ozero__class_Ozero(_u2036)) )).
% 12.23/12.41 cnf(matrix-1045, plain, ( ~class_Groups_Olinordered__ab__group__add(_u2036) | ~c_Orderings_Oord__class_Oless__eq(_u2036, _u2037, c_Groups_Ozero__class_Ozero(_u2036)) | c_Orderings_Oord__class_Oless__eq(_u2036, c_Groups_Oplus__class_Oplus(_u2036, _u2037, _u2037), c_Groups_Ozero__class_Ozero(_u2036)) )).
% 12.23/12.41 cnf(matrix-1046, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2038) | ~c_Orderings_Oord__class_Oless__eq(_u2038, c_Groups_Ozero__class_Ozero(_u2038), _u2039) | ~c_Orderings_Oord__class_Oless__eq(_u2038, c_Groups_Ozero__class_Ozero(_u2038), _u2040) | c_Orderings_Oord__class_Oless__eq(_u2038, c_Groups_Ozero__class_Ozero(_u2038), c_Groups_Oplus__class_Oplus(_u2038, _u2039, _u2040)) )).
% 12.23/12.41 cnf(matrix-1047, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2041) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2042) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2043) | ( c_Groups_Oplus__class_Oplus(_u2041, _u2042, _u2043) != c_Groups_Ozero__class_Ozero(_u2041)) | ( _u2042 = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.41 cnf(matrix-1048, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2041) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2042) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2043) | ( c_Groups_Oplus__class_Oplus(_u2041, _u2042, _u2043) != c_Groups_Ozero__class_Ozero(_u2041)) | ( _u2043 = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.41 cnf(matrix-1049, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2041) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2042) | ~c_Orderings_Oord__class_Oless__eq(_u2041, c_Groups_Ozero__class_Ozero(_u2041), _u2043) | ( _u2042 != c_Groups_Ozero__class_Ozero(_u2041)) | ( _u2043 != c_Groups_Ozero__class_Ozero(_u2041)) | ( c_Groups_Oplus__class_Oplus(_u2041, _u2042, _u2043) = c_Groups_Ozero__class_Ozero(_u2041)) )).
% 12.23/12.41 cnf(matrix-1050, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2044) | ~c_Orderings_Oord__class_Oless__eq(_u2044, c_Groups_Ozero__class_Ozero(_u2044), _u2045) | ~c_Orderings_Oord__class_Oless__eq(_u2044, _u2046, _u2047) | c_Orderings_Oord__class_Oless__eq(_u2044, _u2046, c_Groups_Oplus__class_Oplus(_u2044, _u2045, _u2047)) )).
% 12.23/12.41 cnf(matrix-1051, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2048) | ~c_Orderings_Oord__class_Oless__eq(_u2048, c_Groups_Ozero__class_Ozero(_u2048), _u2049) | ~c_Orderings_Oord__class_Oless__eq(_u2048, _u2050, _u2051) | c_Orderings_Oord__class_Oless__eq(_u2048, _u2050, c_Groups_Oplus__class_Oplus(_u2048, _u2051, _u2049)) )).
% 12.23/12.41 cnf(matrix-1052, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2052) | ~c_Orderings_Oord__class_Oless__eq(_u2052, _u2053, c_Groups_Ozero__class_Ozero(_u2052)) | ~c_Orderings_Oord__class_Oless__eq(_u2052, _u2054, c_Groups_Ozero__class_Ozero(_u2052)) | c_Orderings_Oord__class_Oless__eq(_u2052, c_Groups_Oplus__class_Oplus(_u2052, _u2053, _u2054), c_Groups_Ozero__class_Ozero(_u2052)) )).
% 12.23/12.41 cnf(matrix-1053, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit1(_u2055), c_Int_OBit0(_u2056)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2055, _u2056))) )).
% 12.23/12.41 cnf(matrix-1054, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit1(_u2057), c_Int_OBit1(_u2058)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2057, _u2058))) )).
% 12.23/12.41 cnf(matrix-1055, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2059)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, _u2059))) )).
% 12.23/12.41 cnf(matrix-1056, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2060) | ~c_Orderings_Oord__class_Oless__eq(_u2060, _u2061, _u2062) | ~c_Orderings_Oord__class_Oless(_u2060, _u2063, _u2064) | c_Orderings_Oord__class_Oless(_u2060, c_Groups_Oplus__class_Oplus(_u2060, _u2061, _u2063), c_Groups_Oplus__class_Oplus(_u2060, _u2062, _u2064)) )).
% 12.23/12.41 cnf(matrix-1057, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u2065) | ~c_Orderings_Oord__class_Oless(_u2065, _u2066, _u2067) | ~c_Orderings_Oord__class_Oless__eq(_u2065, _u2068, _u2069) | c_Orderings_Oord__class_Oless(_u2065, c_Groups_Oplus__class_Oplus(_u2065, _u2066, _u2068), c_Groups_Oplus__class_Oplus(_u2065, _u2067, _u2069)) )).
% 12.23/12.41 cnf(matrix-1058, plain, ( ~class_Rings_Olinordered__semidom(_u2070) | ~c_Orderings_Oord__class_Oless(_u2070, c_Groups_Oone__class_Oone(_u2070), _u2071) | ~c_Orderings_Oord__class_Oless(_u2070, c_Groups_Oone__class_Oone(_u2070), _u2072) | c_Orderings_Oord__class_Oless(_u2070, c_Groups_Oone__class_Oone(_u2070), c_Groups_Otimes__class_Otimes(_u2070, _u2071, _u2072)) )).
% 12.23/12.41 cnf(matrix-1059, plain, ( ~class_Int_Onumber(_u2073) | ~class_Orderings_Olinorder(_u2073) | ~c_Orderings_Oord__class_Oless__eq(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2074), c_Int_Onumber__class_Onumber__of(_u2073, _u2075)) | ~c_Orderings_Oord__class_Oless(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2075), c_Int_Onumber__class_Onumber__of(_u2073, _u2074)) )).
% 12.23/12.41 cnf(matrix-1060, plain, ( ~class_Int_Onumber(_u2073) | ~class_Orderings_Olinorder(_u2073) | c_Orderings_Oord__class_Oless(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2075), c_Int_Onumber__class_Onumber__of(_u2073, _u2074)) | c_Orderings_Oord__class_Oless__eq(_u2073, c_Int_Onumber__class_Onumber__of(_u2073, _u2074), c_Int_Onumber__class_Onumber__of(_u2073, _u2075)) )).
% 12.23/12.41 cnf(matrix-1061, plain, ( ~class_Rings_Olinordered__semidom(_u2076) | c_Orderings_Oord__class_Oless(_u2076, _u2077, c_Groups_Oplus__class_Oplus(_u2076, _u2077, c_Groups_Oone__class_Oone(_u2076))) )).
% 12.23/12.41 cnf(matrix-1062, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2078) | ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2078, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u2078) )).
% 12.23/12.41 cnf(matrix-1063, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2079) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2079, c_Nat_OSuc(_u2080)), _u2079) )).
% 12.23/12.41 cnf(matrix-1064, plain, ( ~class_Rings_Ocomm__semiring__1(_u2081) | ( c_Groups_Oplus__class_Oplus(_u2081, _u2082, _u2082) = c_Groups_Otimes__class_Otimes(_u2081, c_Groups_Oplus__class_Oplus(_u2081, c_Groups_Oone__class_Oone(_u2081), c_Groups_Oone__class_Oone(_u2081)), _u2082)) )).
% 12.23/12.41 cnf(matrix-1065, plain, ( ~class_Rings_Ocomm__semiring__1(_u2083) | ( c_Groups_Oplus__class_Oplus(_u2083, _u2084, c_Groups_Otimes__class_Otimes(_u2083, _u2085, _u2084)) = c_Groups_Otimes__class_Otimes(_u2083, c_Groups_Oplus__class_Oplus(_u2083, _u2085, c_Groups_Oone__class_Oone(_u2083)), _u2084)) )).
% 12.23/12.41 cnf(matrix-1066, plain, ( ~class_Rings_Ocomm__semiring__1(_u2086) | ( c_Groups_Oplus__class_Oplus(_u2086, c_Groups_Otimes__class_Otimes(_u2086, _u2087, _u2088), _u2088) = c_Groups_Otimes__class_Otimes(_u2086, c_Groups_Oplus__class_Oplus(_u2086, _u2087, c_Groups_Oone__class_Oone(_u2086)), _u2088)) )).
% 12.23/12.41 cnf(matrix-1067, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2091, _u2093) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2091, _u2093), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1068, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2092, _u2094), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2092, _u2094) )).
% 12.23/12.41 cnf(matrix-1069, plain, ( ~class_Rings_Olinordered__semidom(_u2095) | ~c_Orderings_Oord__class_Oless__eq(_u2095, c_Groups_Ozero__class_Ozero(_u2095), _u2096) | c_Orderings_Oord__class_Oless__eq(_u2095, c_Groups_Ozero__class_Ozero(_u2095), c_Power_Opower__class_Opower(_u2095, _u2096, _u2097)) )).
% 12.23/12.41 cnf(matrix-1070, plain, ( ~class_Rings_Olinordered__semidom(_u2098) | ~c_Orderings_Oord__class_Oless__eq(_u2098, _u2099, _u2100) | ~c_Orderings_Oord__class_Oless__eq(_u2098, c_Groups_Ozero__class_Ozero(_u2098), _u2099) | c_Orderings_Oord__class_Oless__eq(_u2098, c_Power_Opower__class_Opower(_u2098, _u2099, _u2101), c_Power_Opower__class_Opower(_u2098, _u2100, _u2101)) )).
% 12.23/12.41 cnf(matrix-1071, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2102, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2102, _u2103)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1072, plain, ( ~hBOOL(hAPP(_u2109, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2111, _u2113))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2111, _u2113) | hBOOL(hAPP(_u2109, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1073, plain, ( ~hBOOL(hAPP(_u2109, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2111, _u2113))) | ( _u2111 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2113, _u2104)) | hBOOL(hAPP(_u2109, _u2104)) )).
% 12.23/12.41 cnf(matrix-1074, plain, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2112, _u2114) | ( _u2112 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2114, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.41 cnf(matrix-1075, plain, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2112, _u2114) | ~hBOOL(hAPP(_u2110, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.41 cnf(matrix-1076, plain, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | ~hBOOL(hAPP(_u2110, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2112 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2114, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.41 cnf(matrix-1077, plain, ( hBOOL(hAPP(_u2110, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2112, _u2114))) | ~hBOOL(hAPP(_u2110, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2110, skolem14(_u2114, _u2112, _u2110))) )).
% 12.23/12.41 cnf(matrix-1078, plain, ( ~hBOOL(hAPP(_u2120, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2122, _u2124))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2122, _u2124) | hBOOL(hAPP(_u2120, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1079, plain, ( ~hBOOL(hAPP(_u2120, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2122, _u2124))) | ( _u2122 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2124, _u2115)) | hBOOL(hAPP(_u2120, _u2115)) )).
% 12.23/12.41 cnf(matrix-1080, plain, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2123, _u2125) | ( _u2123 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2125, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.41 cnf(matrix-1081, plain, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2123, _u2125) | ~hBOOL(hAPP(_u2121, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.41 cnf(matrix-1082, plain, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | ~hBOOL(hAPP(_u2121, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2123 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2125, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.41 cnf(matrix-1083, plain, ( hBOOL(hAPP(_u2121, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2123, _u2125))) | ~hBOOL(hAPP(_u2121, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2121, skolem15(_u2125, _u2123, _u2121))) )).
% 12.23/12.41 cnf(matrix-1084, plain, ( ~class_Rings_Olinordered__semidom(_u2126) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2127, _u2128) | ~c_Orderings_Oord__class_Oless(_u2126, c_Groups_Oone__class_Oone(_u2126), _u2129) | c_Orderings_Oord__class_Oless(_u2126, c_Power_Opower__class_Opower(_u2126, _u2129, _u2127), c_Power_Opower__class_Opower(_u2126, _u2129, _u2128)) )).
% 12.23/12.41 cnf(matrix-1085, plain, ( ~class_Rings_Olinordered__semidom(_u2130) | ~c_Orderings_Oord__class_Oless(_u2130, c_Groups_Oone__class_Oone(_u2130), _u2131) | ~c_Orderings_Oord__class_Oless(_u2130, c_Power_Opower__class_Opower(_u2130, _u2131, _u2132), c_Power_Opower__class_Opower(_u2130, _u2131, _u2133)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2132, _u2133) )).
% 12.23/12.41 cnf(matrix-1086, plain, ( ~class_Rings_Olinordered__semidom(_u2134) | ~c_Orderings_Oord__class_Oless(_u2134, c_Groups_Oone__class_Oone(_u2134), _u2135) | ~c_Orderings_Oord__class_Oless(_u2134, c_Power_Opower__class_Opower(_u2134, _u2135, _u2136), c_Power_Opower__class_Opower(_u2134, _u2135, _u2137)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2136, _u2137) )).
% 12.23/12.41 cnf(matrix-1087, plain, ( ~class_Rings_Olinordered__semidom(_u2134) | ~c_Orderings_Oord__class_Oless(_u2134, c_Groups_Oone__class_Oone(_u2134), _u2135) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2136, _u2137) | c_Orderings_Oord__class_Oless(_u2134, c_Power_Opower__class_Opower(_u2134, _u2135, _u2136), c_Power_Opower__class_Opower(_u2134, _u2135, _u2137)) )).
% 12.23/12.41 cnf(matrix-1088, plain, ( ~class_Rings_Olinordered__semidom(_u2138) | ~c_Orderings_Oord__class_Oless(_u2138, c_Groups_Oone__class_Oone(_u2138), _u2139) | ( c_Power_Opower__class_Opower(_u2138, _u2139, _u2140) != c_Power_Opower__class_Opower(_u2138, _u2139, _u2141)) | ( _u2140 = _u2141) )).
% 12.23/12.41 cnf(matrix-1089, plain, ( ~class_Rings_Olinordered__semidom(_u2138) | ~c_Orderings_Oord__class_Oless(_u2138, c_Groups_Oone__class_Oone(_u2138), _u2139) | ( _u2140 != _u2141) | ( c_Power_Opower__class_Opower(_u2138, _u2139, _u2140) = c_Power_Opower__class_Opower(_u2138, _u2139, _u2141)) )).
% 12.23/12.41 cnf(matrix-1090, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2143), c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2143, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-1091, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2144, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2144), c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-1092, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u2146)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2146) )).
% 12.23/12.41 cnf(matrix-1093, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2147) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit1(_u2147)) )).
% 12.23/12.41 cnf(matrix-1094, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1095, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OMin) )).
% 12.23/12.41 cnf(matrix-1096, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1097, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u2149)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2149) )).
% 12.23/12.41 cnf(matrix-1098, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, _u2150) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OBit0(_u2150)) )).
% 12.23/12.41 cnf(matrix-1099, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) != c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-1100, plain, ( ~class_Rings_Ocomm__semiring__1(_u2151) | ( c_Power_Opower__class_Opower(_u2151, _u2152, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2151)) )).
% 12.23/12.41 cnf(matrix-1101, plain, ( ~class_Power_Opower(_u2153) | ( c_Power_Opower__class_Opower(_u2153, _u2154, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2153)) )).
% 12.23/12.41 cnf(matrix-1102, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2155) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2155, _u2156)) )).
% 12.23/12.41 cnf(matrix-1103, plain, ( ~class_Rings_Ocomm__semiring__1(_u2157) | ~c_Rings_Odvd__class_Odvd(_u2157, c_Power_Opower__class_Opower(_u2157, _u2158, _u2159), _u2160) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2161, _u2159) | c_Rings_Odvd__class_Odvd(_u2157, c_Power_Opower__class_Opower(_u2157, _u2158, _u2161), _u2160) )).
% 12.23/12.41 cnf(matrix-1104, plain, ( ~class_Rings_Ocomm__semiring__1(_u2162) | ~c_Rings_Odvd__class_Odvd(_u2162, _u2163, _u2164) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2165, _u2166) | c_Rings_Odvd__class_Odvd(_u2162, c_Power_Opower__class_Opower(_u2162, _u2163, _u2165), c_Power_Opower__class_Opower(_u2162, _u2164, _u2166)) )).
% 12.23/12.41 cnf(matrix-1105, plain, ( ~class_Rings_Ocomm__semiring__1(_u2167) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2168, _u2169) | c_Rings_Odvd__class_Odvd(_u2167, c_Power_Opower__class_Opower(_u2167, _u2170, _u2168), c_Power_Opower__class_Opower(_u2167, _u2170, _u2169)) )).
% 12.23/12.41 cnf(matrix-1106, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2172)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2172) )).
% 12.23/12.41 cnf(matrix-1107, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2173) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2173)) )).
% 12.23/12.41 cnf(matrix-1108, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2176), c_Int_OBit1(_u2178)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2176, _u2178) )).
% 12.23/12.41 cnf(matrix-1109, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2177, _u2179) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2177), c_Int_OBit1(_u2179)) )).
% 12.23/12.41 cnf(matrix-1110, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2182), c_Int_OBit1(_u2184)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2182, _u2184) )).
% 12.23/12.41 cnf(matrix-1111, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2183, _u2185) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2183), c_Int_OBit1(_u2185)) )).
% 12.23/12.41 cnf(matrix-1112, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2187)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2187) )).
% 12.23/12.41 cnf(matrix-1113, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2188) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2188)) )).
% 12.23/12.41 cnf(matrix-1114, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2190), c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2190, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1115, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2191, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2191), c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1116, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2192, _u2193) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2193) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2192, _u2193) )).
% 12.23/12.41 cnf(matrix-1117, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2194) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2195), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2196)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2195, _u2196) )).
% 12.23/12.41 cnf(matrix-1118, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2194) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2195, _u2196) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2195), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2194, _u2196)) )).
% 12.23/12.41 cnf(matrix-1119, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2200, _u2202), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2204, _u2202)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2202) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2200, _u2204) )).
% 12.23/12.41 cnf(matrix-1120, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2201, _u2203), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2205, _u2203)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2203) )).
% 12.23/12.41 cnf(matrix-1121, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2201, _u2203), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2205, _u2203)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2201, _u2205) )).
% 12.23/12.41 cnf(matrix-1122, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209, _u2211), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209, _u2213)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2209) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2211, _u2213) )).
% 12.23/12.41 cnf(matrix-1123, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2212), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2214)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2210) )).
% 12.23/12.41 cnf(matrix-1124, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2212), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210, _u2214)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2212, _u2214) )).
% 12.23/12.41 cnf(matrix-1125, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2215, _u2216) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2216) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2215, _u2216) )).
% 12.23/12.41 cnf(matrix-1126, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2222, _u2224) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2220), _u2222), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2220), _u2224)) )).
% 12.23/12.41 cnf(matrix-1127, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2223, _u2225) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2221), _u2223), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Nat_OSuc(_u2221), _u2225)) )).
% 12.23/12.41 cnf(matrix-1128, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2226, _u2227) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2228, _u2229) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2226, _u2228), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2227, _u2229)) )).
% 12.23/12.41 cnf(matrix-1129, plain, ( ~class_Rings_Olinordered__idom(_u2230) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2231) | ~c_Orderings_Oord__class_Oless__eq(_u2230, _u2232, _u2233) | c_Orderings_Oord__class_Oless__eq(_u2230, c_Power_Opower__class_Opower(_u2230, _u2232, _u2231), c_Power_Opower__class_Opower(_u2230, _u2233, _u2231)) )).
% 12.23/12.41 cnf(matrix-1130, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1131, plain, ( ( c_Int_OBit1(_u2234) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2234), _u2234)) )).
% 12.23/12.41 cnf(matrix-1132, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2235), _u2235) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1133, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2238, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2240, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2238, _u2240) | ( _u2238 = _u2240) )).
% 12.23/12.41 cnf(matrix-1134, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2239, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2241, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2239, _u2241) )).
% 12.23/12.41 cnf(matrix-1135, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2239, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2241, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2239 != _u2241) )).
% 12.23/12.41 cnf(matrix-1136, plain, ( ~class_Int_Onumber__ring(_u2242) | ~c_Int_Oiszero(_u2242, c_Int_Onumber__class_Onumber__of(_u2242, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-1137, plain, ( ~class_Rings_Oordered__ring(_u2243) | ~c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2244, _u2245), _u2246), c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2247, _u2245), _u2248)) | c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, c_Groups_Ominus__class_Ominus(_u2243, _u2244, _u2247), _u2245), _u2246), _u2248) )).
% 12.23/12.41 cnf(matrix-1138, plain, ( ~class_Rings_Oordered__ring(_u2243) | ~c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, c_Groups_Ominus__class_Ominus(_u2243, _u2244, _u2247), _u2245), _u2246), _u2248) | c_Orderings_Oord__class_Oless(_u2243, c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2244, _u2245), _u2246), c_Groups_Oplus__class_Oplus(_u2243, c_Groups_Otimes__class_Otimes(_u2243, _u2247, _u2245), _u2248)) )).
% 12.23/12.41 cnf(matrix-1139, plain, ( ~class_Rings_Oordered__ring(_u2249) | ~c_Orderings_Oord__class_Oless(_u2249, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2250, _u2251), _u2252), c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2253, _u2251), _u2254)) | c_Orderings_Oord__class_Oless(_u2249, _u2252, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, c_Groups_Ominus__class_Ominus(_u2249, _u2253, _u2250), _u2251), _u2254)) )).
% 12.23/12.41 cnf(matrix-1140, plain, ( ~class_Rings_Oordered__ring(_u2249) | ~c_Orderings_Oord__class_Oless(_u2249, _u2252, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, c_Groups_Ominus__class_Ominus(_u2249, _u2253, _u2250), _u2251), _u2254)) | c_Orderings_Oord__class_Oless(_u2249, c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2250, _u2251), _u2252), c_Groups_Oplus__class_Oplus(_u2249, c_Groups_Otimes__class_Otimes(_u2249, _u2253, _u2251), _u2254)) )).
% 12.23/12.41 cnf(matrix-1141, plain, ( ~class_Rings_Ocomm__ring(_u2257) | ~class_Rings_Odvd(_u2257) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, _u2259) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, _u2263, _u2260)) | c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, c_Groups_Ominus__class_Ominus(_u2257, _u2263, c_Groups_Otimes__class_Otimes(_u2257, _u2261, _u2259)), _u2260)) )).
% 12.23/12.41 cnf(matrix-1142, plain, ( ~class_Rings_Ocomm__ring(_u2257) | ~class_Rings_Odvd(_u2257) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, _u2259) | c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, _u2264, _u2260)) | ~c_Rings_Odvd__class_Odvd(_u2257, _u2258, c_Groups_Oplus__class_Oplus(_u2257, c_Groups_Ominus__class_Ominus(_u2257, _u2264, c_Groups_Otimes__class_Otimes(_u2257, _u2262, _u2259)), _u2260)) )).
% 12.23/12.41 cnf(matrix-1143, plain, ( ~class_Rings_Ocomm__ring(_u2267) | ~class_Rings_Odvd(_u2267) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, _u2269) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, _u2273, _u2270)) | c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, c_Groups_Ominus__class_Ominus(_u2267, _u2273, c_Groups_Otimes__class_Otimes(_u2267, _u2271, _u2269)), _u2270)) )).
% 12.23/12.41 cnf(matrix-1144, plain, ( ~class_Rings_Ocomm__ring(_u2267) | ~class_Rings_Odvd(_u2267) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, _u2269) | c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, _u2274, _u2270)) | ~c_Rings_Odvd__class_Odvd(_u2267, _u2268, c_Groups_Oplus__class_Oplus(_u2267, c_Groups_Ominus__class_Ominus(_u2267, _u2274, c_Groups_Otimes__class_Otimes(_u2267, _u2272, _u2269)), _u2270)) )).
% 12.23/12.41 cnf(matrix-1145, plain, ( ~class_Int_Onumber__ring(_u2275) | ( c_Groups_Oplus__class_Oplus(_u2275, c_Int_Onumber__class_Onumber__of(_u2275, _u2276), c_Groups_Ominus__class_Ominus(_u2275, c_Int_Onumber__class_Onumber__of(_u2275, _u2277), _u2278)) = c_Groups_Ominus__class_Ominus(_u2275, c_Int_Onumber__class_Onumber__of(_u2275, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2276, _u2277)), _u2278)) )).
% 12.23/12.41 cnf(matrix-1146, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Otimes__class_Otimes(_u2279, _u2280, _u2281), c_Groups_Otimes__class_Otimes(_u2279, _u2280, _u2282)) | ~c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2280) | c_Orderings_Oord__class_Oless__eq(_u2279, _u2281, _u2282) )).
% 12.23/12.41 cnf(matrix-1147, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, c_Groups_Otimes__class_Otimes(_u2283, _u2284, _u2285), c_Groups_Otimes__class_Otimes(_u2283, _u2286, _u2285)) | ~c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2285) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, _u2286) )).
% 12.23/12.41 cnf(matrix-1148, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2287) | ~c_Orderings_Oord__class_Oless(_u2287, c_Groups_Otimes__class_Otimes(_u2287, _u2288, _u2289), c_Groups_Otimes__class_Otimes(_u2287, _u2288, _u2290)) | ~c_Orderings_Oord__class_Oless__eq(_u2287, c_Groups_Ozero__class_Ozero(_u2287), _u2288) | c_Orderings_Oord__class_Oless(_u2287, _u2289, _u2290) )).
% 12.23/12.41 cnf(matrix-1149, plain, ( ~class_Rings_Olinordered__semiring(_u2291) | ~c_Orderings_Oord__class_Oless(_u2291, c_Groups_Otimes__class_Otimes(_u2291, _u2292, _u2293), c_Groups_Otimes__class_Otimes(_u2291, _u2292, _u2294)) | ~c_Orderings_Oord__class_Oless__eq(_u2291, c_Groups_Ozero__class_Ozero(_u2291), _u2292) | c_Orderings_Oord__class_Oless(_u2291, _u2293, _u2294) )).
% 12.23/12.41 cnf(matrix-1150, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2295) | ~c_Orderings_Oord__class_Oless(_u2295, c_Groups_Otimes__class_Otimes(_u2295, _u2296, _u2297), c_Groups_Otimes__class_Otimes(_u2295, _u2298, _u2297)) | ~c_Orderings_Oord__class_Oless__eq(_u2295, c_Groups_Ozero__class_Ozero(_u2295), _u2297) | c_Orderings_Oord__class_Oless(_u2295, _u2296, _u2298) )).
% 12.23/12.41 cnf(matrix-1151, plain, ( ~class_Rings_Olinordered__semiring(_u2299) | ~c_Orderings_Oord__class_Oless(_u2299, c_Groups_Otimes__class_Otimes(_u2299, _u2300, _u2301), c_Groups_Otimes__class_Otimes(_u2299, _u2302, _u2301)) | ~c_Orderings_Oord__class_Oless__eq(_u2299, c_Groups_Ozero__class_Ozero(_u2299), _u2301) | c_Orderings_Oord__class_Oless(_u2299, _u2300, _u2302) )).
% 12.23/12.41 cnf(matrix-1152, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2303) | ~c_Orderings_Oord__class_Oless__eq(_u2303, _u2304, _u2305) | ~c_Orderings_Oord__class_Oless(_u2303, _u2306, _u2307) | ~c_Orderings_Oord__class_Oless(_u2303, c_Groups_Ozero__class_Ozero(_u2303), _u2304) | ~c_Orderings_Oord__class_Oless__eq(_u2303, c_Groups_Ozero__class_Ozero(_u2303), _u2306) | c_Orderings_Oord__class_Oless(_u2303, c_Groups_Otimes__class_Otimes(_u2303, _u2304, _u2306), c_Groups_Otimes__class_Otimes(_u2303, _u2305, _u2307)) )).
% 12.23/12.41 cnf(matrix-1153, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2308) | ~c_Orderings_Oord__class_Oless(_u2308, _u2309, _u2310) | ~c_Orderings_Oord__class_Oless__eq(_u2308, _u2311, _u2312) | ~c_Orderings_Oord__class_Oless__eq(_u2308, c_Groups_Ozero__class_Ozero(_u2308), _u2309) | ~c_Orderings_Oord__class_Oless(_u2308, c_Groups_Ozero__class_Ozero(_u2308), _u2311) | c_Orderings_Oord__class_Oless(_u2308, c_Groups_Otimes__class_Otimes(_u2308, _u2309, _u2311), c_Groups_Otimes__class_Otimes(_u2308, _u2310, _u2312)) )).
% 12.23/12.41 cnf(matrix-1154, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2313) | ~c_Orderings_Oord__class_Oless(_u2313, _u2314, _u2315) | ~c_Orderings_Oord__class_Oless(_u2313, _u2316, _u2317) | ~c_Orderings_Oord__class_Oless__eq(_u2313, c_Groups_Ozero__class_Ozero(_u2313), _u2314) | ~c_Orderings_Oord__class_Oless__eq(_u2313, c_Groups_Ozero__class_Ozero(_u2313), _u2316) | c_Orderings_Oord__class_Oless(_u2313, c_Groups_Otimes__class_Otimes(_u2313, _u2314, _u2316), c_Groups_Otimes__class_Otimes(_u2313, _u2315, _u2317)) )).
% 12.23/12.41 cnf(matrix-1155, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2318) | ~c_Orderings_Oord__class_Oless(_u2318, _u2319, _u2320) | ~c_Orderings_Oord__class_Oless(_u2318, _u2321, _u2322) | ~c_Orderings_Oord__class_Oless(_u2318, c_Groups_Ozero__class_Ozero(_u2318), _u2320) | ~c_Orderings_Oord__class_Oless__eq(_u2318, c_Groups_Ozero__class_Ozero(_u2318), _u2321) | c_Orderings_Oord__class_Oless(_u2318, c_Groups_Otimes__class_Otimes(_u2318, _u2319, _u2321), c_Groups_Otimes__class_Otimes(_u2318, _u2320, _u2322)) )).
% 12.23/12.41 cnf(matrix-1156, plain, ( ~class_Rings_Olinordered__ring__strict(_u2323) | ~c_Orderings_Oord__class_Oless(_u2323, _u2324, c_Groups_Ozero__class_Ozero(_u2323)) | ~c_Orderings_Oord__class_Oless__eq(_u2323, c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2325), c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2326)) | c_Orderings_Oord__class_Oless__eq(_u2323, _u2326, _u2325) )).
% 12.23/12.41 cnf(matrix-1157, plain, ( ~class_Rings_Olinordered__ring__strict(_u2323) | ~c_Orderings_Oord__class_Oless(_u2323, _u2324, c_Groups_Ozero__class_Ozero(_u2323)) | ~c_Orderings_Oord__class_Oless__eq(_u2323, _u2326, _u2325) | c_Orderings_Oord__class_Oless__eq(_u2323, c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2325), c_Groups_Otimes__class_Otimes(_u2323, _u2324, _u2326)) )).
% 12.23/12.41 cnf(matrix-1158, plain, ( ~class_Rings_Olinordered__ring__strict(_u2327) | ~c_Orderings_Oord__class_Oless(_u2327, c_Groups_Ozero__class_Ozero(_u2327), _u2328) | ~c_Orderings_Oord__class_Oless__eq(_u2327, c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2329), c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2330)) | c_Orderings_Oord__class_Oless__eq(_u2327, _u2329, _u2330) )).
% 12.23/12.41 cnf(matrix-1159, plain, ( ~class_Rings_Olinordered__ring__strict(_u2327) | ~c_Orderings_Oord__class_Oless(_u2327, c_Groups_Ozero__class_Ozero(_u2327), _u2328) | ~c_Orderings_Oord__class_Oless__eq(_u2327, _u2329, _u2330) | c_Orderings_Oord__class_Oless__eq(_u2327, c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2329), c_Groups_Otimes__class_Otimes(_u2327, _u2328, _u2330)) )).
% 12.23/12.41 cnf(matrix-1160, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2331) | ~c_Orderings_Oord__class_Oless(_u2331, c_Groups_Ozero__class_Ozero(_u2331), _u2332) | ~c_Orderings_Oord__class_Oless__eq(_u2331, c_Groups_Ozero__class_Ozero(_u2331), _u2333) | c_Orderings_Oord__class_Oless(_u2331, c_Groups_Ozero__class_Ozero(_u2331), c_Groups_Oplus__class_Oplus(_u2331, _u2332, _u2333)) )).
% 12.23/12.41 cnf(matrix-1161, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2334) | ~c_Orderings_Oord__class_Oless__eq(_u2334, c_Groups_Ozero__class_Ozero(_u2334), _u2335) | ~c_Orderings_Oord__class_Oless(_u2334, c_Groups_Ozero__class_Ozero(_u2334), _u2336) | c_Orderings_Oord__class_Oless(_u2334, c_Groups_Ozero__class_Ozero(_u2334), c_Groups_Oplus__class_Oplus(_u2334, _u2335, _u2336)) )).
% 12.23/12.41 cnf(matrix-1162, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2337) | ~c_Orderings_Oord__class_Oless(_u2337, c_Groups_Ozero__class_Ozero(_u2337), _u2338) | ~c_Orderings_Oord__class_Oless__eq(_u2337, _u2339, _u2340) | c_Orderings_Oord__class_Oless(_u2337, _u2339, c_Groups_Oplus__class_Oplus(_u2337, _u2338, _u2340)) )).
% 12.23/12.41 cnf(matrix-1163, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2341) | ~c_Orderings_Oord__class_Oless__eq(_u2341, c_Groups_Ozero__class_Ozero(_u2341), _u2342) | ~c_Orderings_Oord__class_Oless(_u2341, _u2343, _u2344) | c_Orderings_Oord__class_Oless(_u2341, _u2343, c_Groups_Oplus__class_Oplus(_u2341, _u2342, _u2344)) )).
% 12.23/12.41 cnf(matrix-1164, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2345) | ~c_Orderings_Oord__class_Oless(_u2345, _u2346, c_Groups_Ozero__class_Ozero(_u2345)) | ~c_Orderings_Oord__class_Oless__eq(_u2345, _u2347, c_Groups_Ozero__class_Ozero(_u2345)) | c_Orderings_Oord__class_Oless(_u2345, c_Groups_Oplus__class_Oplus(_u2345, _u2346, _u2347), c_Groups_Ozero__class_Ozero(_u2345)) )).
% 12.23/12.41 cnf(matrix-1165, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2348) | ~c_Orderings_Oord__class_Oless__eq(_u2348, _u2349, c_Groups_Ozero__class_Ozero(_u2348)) | ~c_Orderings_Oord__class_Oless(_u2348, _u2350, c_Groups_Ozero__class_Ozero(_u2348)) | c_Orderings_Oord__class_Oless(_u2348, c_Groups_Oplus__class_Oplus(_u2348, _u2349, _u2350), c_Groups_Ozero__class_Ozero(_u2348)) )).
% 12.23/12.41 cnf(matrix-1166, plain, ( ~class_Rings_Olinordered__ring__strict(_u2351) | ~c_Orderings_Oord__class_Oless__eq(_u2351, c_Groups_Oplus__class_Oplus(_u2351, c_Groups_Otimes__class_Otimes(_u2351, _u2352, _u2352), c_Groups_Otimes__class_Otimes(_u2351, _u2353, _u2353)), c_Groups_Ozero__class_Ozero(_u2351)) | ( _u2352 = c_Groups_Ozero__class_Ozero(_u2351)) )).
% 12.23/12.41 cnf(matrix-1167, plain, ( ~class_Rings_Olinordered__ring__strict(_u2351) | ~c_Orderings_Oord__class_Oless__eq(_u2351, c_Groups_Oplus__class_Oplus(_u2351, c_Groups_Otimes__class_Otimes(_u2351, _u2352, _u2352), c_Groups_Otimes__class_Otimes(_u2351, _u2353, _u2353)), c_Groups_Ozero__class_Ozero(_u2351)) | ( _u2353 = c_Groups_Ozero__class_Ozero(_u2351)) )).
% 12.23/12.41 cnf(matrix-1168, plain, ( ~class_Rings_Olinordered__ring__strict(_u2351) | ( _u2352 != c_Groups_Ozero__class_Ozero(_u2351)) | ( _u2353 != c_Groups_Ozero__class_Ozero(_u2351)) | c_Orderings_Oord__class_Oless__eq(_u2351, c_Groups_Oplus__class_Oplus(_u2351, c_Groups_Otimes__class_Otimes(_u2351, _u2352, _u2352), c_Groups_Otimes__class_Otimes(_u2351, _u2353, _u2353)), c_Groups_Ozero__class_Ozero(_u2351)) )).
% 12.23/12.41 cnf(matrix-1169, plain, ( ~class_Rings_Olinordered__ring(_u2354) | c_Orderings_Oord__class_Oless__eq(_u2354, c_Groups_Ozero__class_Ozero(_u2354), c_Groups_Oplus__class_Oplus(_u2354, c_Groups_Otimes__class_Otimes(_u2354, _u2355, _u2355), c_Groups_Otimes__class_Otimes(_u2354, _u2356, _u2356))) )).
% 12.23/12.41 cnf(matrix-1170, plain, ( ~class_Rings_Olinordered__semidom(_u2357) | c_Orderings_Oord__class_Oless(_u2357, c_Groups_Ozero__class_Ozero(_u2357), c_Groups_Oplus__class_Oplus(_u2357, c_Groups_Oone__class_Oone(_u2357), c_Groups_Oone__class_Oone(_u2357))) )).
% 12.23/12.41 cnf(matrix-1171, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2358) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2358, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) | ( _u2358 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2358 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1172, plain, ( ~class_Rings_Olinordered__semidom(_u2359) | ~c_Orderings_Oord__class_Oless(_u2359, c_Power_Opower__class_Opower(_u2359, _u2360, _u2361), c_Power_Opower__class_Opower(_u2359, _u2362, _u2361)) | ~c_Orderings_Oord__class_Oless__eq(_u2359, c_Groups_Ozero__class_Ozero(_u2359), _u2362) | c_Orderings_Oord__class_Oless(_u2359, _u2360, _u2362) )).
% 12.23/12.41 cnf(matrix-1173, plain, ( ~class_Rings_Olinordered__semidom(_u2363) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2364, _u2365) | ~c_Orderings_Oord__class_Oless(_u2363, c_Groups_Ozero__class_Ozero(_u2363), _u2366) | ~c_Orderings_Oord__class_Oless(_u2363, _u2366, c_Groups_Oone__class_Oone(_u2363)) | c_Orderings_Oord__class_Oless(_u2363, c_Power_Opower__class_Opower(_u2363, _u2366, _u2365), c_Power_Opower__class_Opower(_u2363, _u2366, _u2364)) )).
% 12.23/12.41 cnf(matrix-1174, plain, ( ~class_Rings_Olinordered__semidom(_u2367) | ~c_Orderings_Oord__class_Oless(_u2367, c_Groups_Oone__class_Oone(_u2367), _u2368) | c_Orderings_Oord__class_Oless(_u2367, c_Groups_Oone__class_Oone(_u2367), c_Groups_Otimes__class_Otimes(_u2367, _u2368, c_Power_Opower__class_Opower(_u2367, _u2368, _u2369))) )).
% 12.23/12.41 cnf(matrix-1175, plain, ( ~class_Rings_Olinordered__semidom(_u2370) | ~c_Orderings_Oord__class_Oless(_u2370, c_Groups_Oone__class_Oone(_u2370), _u2371) | c_Orderings_Oord__class_Oless(_u2370, c_Power_Opower__class_Opower(_u2370, _u2371, _u2372), c_Groups_Otimes__class_Otimes(_u2370, _u2371, c_Power_Opower__class_Opower(_u2370, _u2371, _u2372))) )).
% 12.23/12.41 cnf(matrix-1176, plain, ( ~class_Rings_Olinordered__semidom(_u2373) | ( c_Power_Opower__class_Opower(_u2373, _u2374, _u2375) != c_Power_Opower__class_Opower(_u2373, _u2376, _u2375)) | ~c_Orderings_Oord__class_Oless__eq(_u2373, c_Groups_Ozero__class_Ozero(_u2373), _u2374) | ~c_Orderings_Oord__class_Oless__eq(_u2373, c_Groups_Ozero__class_Ozero(_u2373), _u2376) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2375) | ( _u2374 = _u2376) )).
% 12.23/12.41 cnf(matrix-1177, plain, ( ~class_Power_Opower(_u2377) | ~class_Rings_Osemiring__0(_u2377) | ( _u2378 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2377, c_Groups_Ozero__class_Ozero(_u2377), _u2378) = c_Groups_Oone__class_Oone(_u2377)) )).
% 12.23/12.41 cnf(matrix-1178, plain, ( ~class_Power_Opower(_u2377) | ~class_Rings_Osemiring__0(_u2377) | ( _u2378 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2377, c_Groups_Ozero__class_Ozero(_u2377), _u2378) = c_Groups_Ozero__class_Ozero(_u2377)) )).
% 12.23/12.41 cnf(matrix-1179, plain, ( ~class_Rings_Olinordered__semidom(_u2379) | ~c_Orderings_Oord__class_Oless__eq(_u2379, c_Power_Opower__class_Opower(_u2379, _u2380, c_Nat_OSuc(_u2381)), c_Power_Opower__class_Opower(_u2379, _u2382, c_Nat_OSuc(_u2381))) | ~c_Orderings_Oord__class_Oless__eq(_u2379, c_Groups_Ozero__class_Ozero(_u2379), _u2382) | c_Orderings_Oord__class_Oless__eq(_u2379, _u2380, _u2382) )).
% 12.23/12.41 cnf(matrix-1180, plain, ( ~class_Rings_Olinordered__semidom(_u2383) | ( c_Power_Opower__class_Opower(_u2383, _u2384, c_Nat_OSuc(_u2385)) != c_Power_Opower__class_Opower(_u2383, _u2386, c_Nat_OSuc(_u2385))) | ~c_Orderings_Oord__class_Oless__eq(_u2383, c_Groups_Ozero__class_Ozero(_u2383), _u2384) | ~c_Orderings_Oord__class_Oless__eq(_u2383, c_Groups_Ozero__class_Ozero(_u2383), _u2386) | ( _u2384 = _u2386) )).
% 12.23/12.41 cnf(matrix-1181, plain, ( ~class_Rings_Olinordered__semidom(_u2387) | ~c_Orderings_Oord__class_Oless(_u2387, c_Groups_Oone__class_Oone(_u2387), _u2388) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2389) | c_Orderings_Oord__class_Oless(_u2387, c_Groups_Oone__class_Oone(_u2387), c_Power_Opower__class_Opower(_u2387, _u2388, _u2389)) )).
% 12.23/12.41 cnf(matrix-1182, plain, ( ~class_Int_Onumber__ring(_u2390) | ( c_Int_Onumber__class_Onumber__of(_u2390, c_Int_OBit1(_u2391)) = c_Groups_Oplus__class_Oplus(_u2390, c_Groups_Oplus__class_Oplus(_u2390, c_Groups_Oone__class_Oone(_u2390), c_Int_Onumber__class_Onumber__of(_u2390, _u2391)), c_Int_Onumber__class_Onumber__of(_u2390, _u2391))) )).
% 12.23/12.41 cnf(matrix-1183, plain, ( ~class_Rings_Olinordered__semidom(_u2392) | ~c_Orderings_Oord__class_Oless(_u2392, c_Groups_Oone__class_Oone(_u2392), _u2393) | c_Orderings_Oord__class_Oless(_u2392, c_Groups_Oone__class_Oone(_u2392), c_Power_Opower__class_Opower(_u2392, _u2393, c_Nat_OSuc(_u2394))) )).
% 12.23/12.41 cnf(matrix-1184, plain, ( ~class_Int_Onumber__ring(_u2395) | ( c_Groups_Oone__class_Oone(_u2395) = c_Int_Onumber__class_Onumber__of(_u2395, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.41 cnf(matrix-1185, plain, ( ~class_Int_Onumber__ring(_u2396) | ( c_Int_Onumber__class_Onumber__of(_u2396, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u2396)) )).
% 12.23/12.41 cnf(matrix-1186, plain, ( ~class_Int_Onumber__ring(_u2397) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2398) | ( c_Power_Opower__class_Opower(_u2397, c_Int_Onumber__class_Onumber__of(_u2397, c_Int_OMin), _u2398) = c_Int_Onumber__class_Onumber__of(_u2397, c_Int_OMin)) )).
% 12.23/12.41 cnf(matrix-1187, plain, ( ~class_Rings_Ocomm__semiring__1(_u2399) | c_Rings_Odvd__class_Odvd(_u2399, _u2401, c_Power_Opower__class_Opower(_u2399, _u2401, _u2400)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2400) )).
% 12.23/12.41 cnf(matrix-1188, plain, ( ~class_Rings_Ocomm__semiring__1(_u2399) | c_Rings_Odvd__class_Odvd(_u2399, _u2401, c_Power_Opower__class_Opower(_u2399, _u2401, _u2400)) | ( _u2401 != c_Groups_Oone__class_Oone(_u2399)) )).
% 12.23/12.41 cnf(matrix-1189, plain, ( ~class_Rings_Olinordered__idom(_u2402) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2403) | ~c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), c_Power_Opower__class_Opower(_u2402, _u2404, _u2403)) | c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), _u2404) )).
% 12.23/12.41 cnf(matrix-1190, plain, ( ~class_Rings_Olinordered__idom(_u2402) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2403) | ~c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), _u2404) | c_Orderings_Oord__class_Oless__eq(_u2402, c_Groups_Ozero__class_Ozero(_u2402), c_Power_Opower__class_Opower(_u2402, _u2404, _u2403)) )).
% 12.23/12.41 cnf(matrix-1191, plain, ( ~class_Groups_Omonoid__mult(_u2405) | ~class_Rings_Olinordered__ring(_u2405) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2406) | c_Orderings_Oord__class_Oless__eq(_u2405, c_Groups_Ozero__class_Ozero(_u2405), c_Power_Opower__class_Opower(_u2405, _u2407, _u2406)) )).
% 12.23/12.41 cnf(matrix-1192, plain, ( ~class_Rings_Olinordered__idom(_u2408) | ~c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), c_Power_Opower__class_Opower(_u2408, _u2409, _u2410)) | c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), _u2409) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2410) )).
% 12.23/12.41 cnf(matrix-1193, plain, ( ~class_Rings_Olinordered__idom(_u2408) | c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), c_Power_Opower__class_Opower(_u2408, _u2409, _u2410)) | ~c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), _u2409) )).
% 12.23/12.41 cnf(matrix-1194, plain, ( ~class_Rings_Olinordered__idom(_u2408) | c_Orderings_Oord__class_Oless__eq(_u2408, c_Groups_Ozero__class_Ozero(_u2408), c_Power_Opower__class_Opower(_u2408, _u2409, _u2410)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2410) )).
% 12.23/12.41 cnf(matrix-1195, plain, ( ~class_Rings_Olinordered__idom(_u2411) | ~c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), c_Power_Opower__class_Opower(_u2411, _u2412, _u2413)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2413) | c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), _u2412) )).
% 12.23/12.41 cnf(matrix-1196, plain, ( ~class_Rings_Olinordered__idom(_u2411) | c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), c_Power_Opower__class_Opower(_u2411, _u2412, _u2413)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2413) )).
% 12.23/12.41 cnf(matrix-1197, plain, ( ~class_Rings_Olinordered__idom(_u2411) | c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), c_Power_Opower__class_Opower(_u2411, _u2412, _u2413)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2413) | ~c_Orderings_Oord__class_Oless__eq(_u2411, c_Groups_Ozero__class_Ozero(_u2411), _u2412) )).
% 12.23/12.41 cnf(matrix-1198, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2415)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2415, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1199, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2416, c_Int_OPls) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2416)) )).
% 12.23/12.41 cnf(matrix-1200, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2418) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2418, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1201, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2419, c_Int_OPls) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2419) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1202, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2422, _u2424)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2422) )).
% 12.23/12.41 cnf(matrix-1203, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2422, _u2424)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2424) )).
% 12.23/12.41 cnf(matrix-1204, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2423) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2425) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2423, _u2425)) )).
% 12.23/12.41 cnf(matrix-1205, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2427)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2427) )).
% 12.23/12.41 cnf(matrix-1206, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2428) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u2428)) )).
% 12.23/12.41 cnf(matrix-1207, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2430), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2430, c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1208, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2431, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2431), c_Int_OPls) )).
% 12.23/12.41 cnf(matrix-1209, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2434), c_Int_OBit1(_u2436)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2434, _u2436) )).
% 12.23/12.41 cnf(matrix-1210, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2435, _u2437) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2435), c_Int_OBit1(_u2437)) )).
% 12.23/12.41 cnf(matrix-1211, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2440), c_Int_OBit1(_u2442)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2440, _u2442) )).
% 12.23/12.41 cnf(matrix-1212, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2441, _u2443) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2441), c_Int_OBit1(_u2443)) )).
% 12.23/12.41 cnf(matrix-1213, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2446), c_Int_OBit0(_u2448)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2446, _u2448) )).
% 12.23/12.41 cnf(matrix-1214, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2447, _u2449) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2447), c_Int_OBit0(_u2449)) )).
% 12.23/12.41 cnf(matrix-1215, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2452), c_Int_OBit0(_u2454)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2452, _u2454) )).
% 12.23/12.41 cnf(matrix-1216, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2453, _u2455) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2453), c_Int_OBit0(_u2455)) )).
% 12.23/12.41 cnf(matrix-1217, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 12.23/12.41 cnf(matrix-1218, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.41 cnf(matrix-1219, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2457), _u2457), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2457, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1220, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2458, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2458), _u2458), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1221, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2459) | ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2459, _u2460) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2459 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1222, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2459) | ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2459, _u2460) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2460 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1223, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2459) | ( _u2459 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2460 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2459, _u2460) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1224, plain, ( ~class_Int_Onumber__ring(_u2461) | ( c_Power_Opower__class_Opower(_u2461, c_Int_Onumber__class_Onumber__of(_u2461, c_Int_OMin), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2462)) = c_Groups_Oone__class_Oone(_u2461)) )).
% 12.23/12.41 cnf(matrix-1225, plain, ( ( _u2463 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2464, _u2463) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2465, _u2463)) | ( _u2464 = _u2465) )).
% 12.23/12.41 cnf(matrix-1226, plain, ( ( _u2463 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2464 != _u2465) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2464, _u2463) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2465, _u2463)) )).
% 12.23/12.41 cnf(matrix-1227, plain, ( ( _u2466 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2467) != c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2468)) | ( _u2467 = _u2468) )).
% 12.23/12.41 cnf(matrix-1228, plain, ( ( _u2466 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2467 != _u2468) | ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2467) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2466, _u2468)) )).
% 12.23/12.41 cnf(matrix-1229, plain, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2469, _u2470) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2470, _u2469)) )).
% 12.23/12.41 cnf(matrix-1230, plain, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2471, _u2472), _u2473) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2471, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2472, _u2473))) )).
% 12.23/12.41 cnf(matrix-1231, plain, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2474, _u2475), _u2476) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2474, _u2476), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2475, _u2476))) )).
% 12.23/12.41 cnf(matrix-1232, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2477) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2478, _u2479) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2477, _u2478), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2477, _u2479)) )).
% 12.23/12.41 cnf(matrix-1233, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2480) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2481) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2480, _u2481)) )).
% 12.23/12.41 cnf(matrix-1234, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2482) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2483, _u2482), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2484, _u2482)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2483, _u2484) )).
% 12.23/12.41 cnf(matrix-1235, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2482) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2483, _u2484) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2483, _u2482), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2484, _u2482)) )).
% 12.23/12.41 cnf(matrix-1236, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2487, _u2487), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2489, _u2489)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2487 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-1237, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2487, _u2487), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2489, _u2489)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2489 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-1238, plain, ( ( _u2488 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2490 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2488, _u2488), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2490, _u2490)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-1239, plain, ( ~class_Rings_Ocomm__ring__1(_u2491) | ( c_Groups_Ominus__class_Ominus(_u2491, c_Power_Opower__class_Opower(_u2491, _u2492, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), c_Power_Opower__class_Opower(_u2491, _u2493, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = c_Groups_Otimes__class_Otimes(_u2491, c_Groups_Ominus__class_Ominus(_u2491, _u2492, _u2493), c_Groups_Oplus__class_Oplus(_u2491, _u2492, _u2493))) )).
% 12.23/12.41 cnf(matrix-1240, plain, ( ~class_Rings_Olinordered__semidom(_u2494) | ~c_Orderings_Oord__class_Oless(_u2494, c_Groups_Ozero__class_Ozero(_u2494), _u2495) | ~c_Orderings_Oord__class_Oless(_u2494, _u2495, c_Groups_Oone__class_Oone(_u2494)) | c_Orderings_Oord__class_Oless(_u2494, c_Groups_Otimes__class_Otimes(_u2494, _u2495, c_Power_Opower__class_Opower(_u2494, _u2495, _u2496)), c_Power_Opower__class_Opower(_u2494, _u2495, _u2496)) )).
% 12.23/12.41 cnf(matrix-1241, plain, ( ~class_Rings_Olinordered__semidom(_u2497) | ~c_Orderings_Oord__class_Oless(_u2497, _u2498, _u2499) | ~c_Orderings_Oord__class_Oless__eq(_u2497, c_Groups_Ozero__class_Ozero(_u2497), _u2498) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2500) | c_Orderings_Oord__class_Oless(_u2497, c_Power_Opower__class_Opower(_u2497, _u2498, _u2500), c_Power_Opower__class_Opower(_u2497, _u2499, _u2500)) )).
% 12.23/12.41 cnf(matrix-1242, plain, ( ~class_Rings_Olinordered__semidom(_u2501) | ~c_Orderings_Oord__class_Oless(_u2501, c_Groups_Ozero__class_Ozero(_u2501), _u2502) | ~c_Orderings_Oord__class_Oless(_u2501, _u2502, c_Groups_Oone__class_Oone(_u2501)) | c_Orderings_Oord__class_Oless(_u2501, c_Power_Opower__class_Opower(_u2501, _u2502, c_Nat_OSuc(_u2503)), c_Groups_Oone__class_Oone(_u2501)) )).
% 12.23/12.41 cnf(matrix-1243, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls), _u2504) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u2505), _u2504) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2505, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2504, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.41 cnf(matrix-1244, plain, ( ~class_Int_Onumber__ring(_u2506) | ( c_Groups_Otimes__class_Otimes(_u2506, c_Groups_Oplus__class_Oplus(_u2506, c_Groups_Oone__class_Oone(_u2506), c_Groups_Oone__class_Oone(_u2506)), c_Int_Onumber__class_Onumber__of(_u2506, _u2507)) = c_Int_Onumber__class_Onumber__of(_u2506, c_Int_OBit0(_u2507))) )).
% 12.23/12.41 cnf(matrix-1245, plain, ( ~class_Power_Opower(_u2508) | ~class_Rings_Osemiring__0(_u2508) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2508, c_Groups_Ozero__class_Ozero(_u2508), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509)) = c_Groups_Oone__class_Oone(_u2508)) )).
% 12.23/12.41 cnf(matrix-1246, plain, ( ~class_Power_Opower(_u2508) | ~class_Rings_Osemiring__0(_u2508) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2508, c_Groups_Ozero__class_Ozero(_u2508), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2509)) = c_Groups_Ozero__class_Ozero(_u2508)) )).
% 12.23/12.41 cnf(matrix-1247, plain, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2512 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1248, plain, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) | ( _u2511 = c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.41 cnf(matrix-1249, plain, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, c_Groups_Ozero__class_Ozero(_u2510)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) )).
% 12.23/12.41 cnf(matrix-1250, plain, ( ~class_Rings_Olinordered__idom(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2511 = c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.41 cnf(matrix-1251, plain, ( ~class_Rings_Olinordered__idom(_u2510) | c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2512 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) | ~c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.41 cnf(matrix-1252, plain, ( ~class_Rings_Olinordered__idom(_u2510) | c_Orderings_Oord__class_Oless__eq(_u2510, c_Power_Opower__class_Opower(_u2510, _u2511, _u2512), c_Groups_Ozero__class_Ozero(_u2510)) | ( _u2512 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2512) | ( _u2511 != c_Groups_Ozero__class_Ozero(_u2510)) )).
% 12.23/12.41 cnf(matrix-1253, plain, ( ~class_Rings_Olinordered__idom(_u2513) | ~c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), c_Power_Opower__class_Opower(_u2513, _u2514, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515)) | c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), _u2514) )).
% 12.23/12.41 cnf(matrix-1254, plain, ( ~class_Rings_Olinordered__idom(_u2513) | c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), c_Power_Opower__class_Opower(_u2513, _u2514, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515)) )).
% 12.23/12.41 cnf(matrix-1255, plain, ( ~class_Rings_Olinordered__idom(_u2513) | c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), c_Power_Opower__class_Opower(_u2513, _u2514, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2515)) | ~c_Orderings_Oord__class_Oless__eq(_u2513, c_Groups_Ozero__class_Ozero(_u2513), _u2514) )).
% 12.23/12.41 cnf(matrix-1256, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2516)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2516))) )).
% 12.23/12.41 cnf(matrix-1257, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2516)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2516))) )).
% 12.23/12.41 cnf(matrix-1258, plain, ( ~class_Int_Onumber__ring(_u2517) | ( c_Groups_Oplus__class_Oplus(_u2517, c_Groups_Oone__class_Oone(_u2517), c_Groups_Oone__class_Oone(_u2517)) = c_Int_Onumber__class_Onumber__of(_u2517, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-1259, plain, ( ~class_Int_Onumber__ring(_u2518) | ~class_Rings_Olinordered__idom(_u2518) | ~c_Orderings_Oord__class_Oless(_u2518, c_Groups_Oone__class_Oone(_u2518), c_Int_Onumber__class_Onumber__of(_u2518, _u2519)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u2519) )).
% 12.23/12.41 cnf(matrix-1260, plain, ( ~class_Int_Onumber__ring(_u2518) | ~class_Rings_Olinordered__idom(_u2518) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u2519) | c_Orderings_Oord__class_Oless(_u2518, c_Groups_Oone__class_Oone(_u2518), c_Int_Onumber__class_Onumber__of(_u2518, _u2519)) )).
% 12.23/12.41 cnf(matrix-1261, plain, ( ~class_Int_Onumber__ring(_u2520) | ~class_Rings_Olinordered__idom(_u2520) | ~c_Orderings_Oord__class_Oless(_u2520, c_Int_Onumber__class_Onumber__of(_u2520, _u2521), c_Groups_Oone__class_Oone(_u2520)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2521, c_Int_OBit1(c_Int_OPls)) )).
% 12.23/12.41 cnf(matrix-1262, plain, ( ~class_Int_Onumber__ring(_u2520) | ~class_Rings_Olinordered__idom(_u2520) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2521, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless(_u2520, c_Int_Onumber__class_Onumber__of(_u2520, _u2521), c_Groups_Oone__class_Oone(_u2520)) )).
% 12.23/12.41 cnf(matrix-1263, plain, ( ~class_Int_Onumber__ring(_u2522) | ( c_Groups_Oplus__class_Oplus(_u2522, c_Groups_Oone__class_Oone(_u2522), c_Int_Onumber__class_Onumber__of(_u2522, _u2523)) = c_Int_Onumber__class_Onumber__of(_u2522, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u2523))) )).
% 12.23/12.41 cnf(matrix-1264, plain, ( ~class_Int_Onumber__ring(_u2524) | ( c_Groups_Oplus__class_Oplus(_u2524, c_Int_Onumber__class_Onumber__of(_u2524, _u2525), c_Groups_Oone__class_Oone(_u2524)) = c_Int_Onumber__class_Onumber__of(_u2524, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2525, c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-1265, plain, ( ~class_Rings_Osemiring__1(_u2526) | ( c_Power_Opower__class_Opower(_u2526, c_Groups_Oone__class_Oone(_u2526), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2526)) )).
% 12.23/12.41 cnf(matrix-1266, plain, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1267, plain, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) | ( _u2528 = c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.41 cnf(matrix-1268, plain, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, c_Groups_Ozero__class_Ozero(_u2527)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) )).
% 12.23/12.41 cnf(matrix-1269, plain, ( ~class_Rings_Olinordered__idom(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, c_Groups_Ozero__class_Ozero(_u2527)) | ( _u2528 = c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.41 cnf(matrix-1270, plain, ( ~class_Rings_Olinordered__idom(_u2527) | c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) | ~c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.41 cnf(matrix-1271, plain, ( ~class_Rings_Olinordered__idom(_u2527) | c_Orderings_Oord__class_Oless__eq(_u2527, c_Power_Opower__class_Opower(_u2527, _u2528, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)), c_Groups_Ozero__class_Ozero(_u2527)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2529)) | ( _u2528 != c_Groups_Ozero__class_Ozero(_u2527)) )).
% 12.23/12.41 cnf(matrix-1272, plain, ( ~class_Rings_Olinordered__idom(_u2530) | c_Orderings_Oord__class_Oless__eq(_u2530, c_Groups_Ozero__class_Ozero(_u2530), c_Power_Opower__class_Opower(_u2530, _u2531, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 12.23/12.41 cnf(matrix-1273, plain, ( ~class_Rings_Olinordered__semidom(_u2532) | ~c_Orderings_Oord__class_Oless__eq(_u2532, c_Power_Opower__class_Opower(_u2532, _u2533, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2532, _u2534, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2532, c_Groups_Ozero__class_Ozero(_u2532), _u2534) | c_Orderings_Oord__class_Oless__eq(_u2532, _u2533, _u2534) )).
% 12.23/12.41 cnf(matrix-1274, plain, ( ~class_Rings_Olinordered__semidom(_u2535) | ( c_Power_Opower__class_Opower(_u2535, _u2536, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(_u2535, _u2537, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2535, c_Groups_Ozero__class_Ozero(_u2535), _u2536) | ~c_Orderings_Oord__class_Oless__eq(_u2535, c_Groups_Ozero__class_Ozero(_u2535), _u2537) | ( _u2536 = _u2537) )).
% 12.23/12.41 cnf(matrix-1275, plain, ( ~class_Rings_Olinordered__semidom(_u2538) | ~c_Orderings_Oord__class_Oless(_u2538, c_Power_Opower__class_Opower(_u2538, _u2539, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2538, _u2540, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2538, c_Groups_Ozero__class_Ozero(_u2538), _u2540) | c_Orderings_Oord__class_Oless(_u2538, _u2539, _u2540) )).
% 12.23/12.41 cnf(matrix-1276, plain, ( ~class_Rings_Olinordered__idom(_u2541) | c_Orderings_Oord__class_Oless__eq(_u2541, c_Groups_Ozero__class_Ozero(_u2541), c_Groups_Oplus__class_Oplus(_u2541, c_Power_Opower__class_Opower(_u2541, _u2542, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2541, _u2543, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 12.23/12.41 cnf(matrix-1277, plain, ( ~class_Rings_Olinordered__idom(_u2544) | ~c_Orderings_Oord__class_Oless__eq(_u2544, c_Groups_Oplus__class_Oplus(_u2544, c_Power_Opower__class_Opower(_u2544, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2544, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2544)) | ( _u2545 = c_Groups_Ozero__class_Ozero(_u2544)) )).
% 12.23/12.41 cnf(matrix-1278, plain, ( ~class_Rings_Olinordered__idom(_u2544) | ~c_Orderings_Oord__class_Oless__eq(_u2544, c_Groups_Oplus__class_Oplus(_u2544, c_Power_Opower__class_Opower(_u2544, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2544, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2544)) | ( _u2546 = c_Groups_Ozero__class_Ozero(_u2544)) )).
% 12.23/12.41 cnf(matrix-1279, plain, ( ~class_Rings_Olinordered__idom(_u2544) | ( _u2545 != c_Groups_Ozero__class_Ozero(_u2544)) | ( _u2546 != c_Groups_Ozero__class_Ozero(_u2544)) | c_Orderings_Oord__class_Oless__eq(_u2544, c_Groups_Oplus__class_Oplus(_u2544, c_Power_Opower__class_Opower(_u2544, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2544, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2544)) )).
% 12.23/12.41 cnf(matrix-1280, plain, ( ~class_Rings_Olinordered__idom(_u2547) | c_Orderings_Oord__class_Oless__eq(_u2547, c_Groups_Ozero__class_Ozero(_u2547), c_Power_Opower__class_Opower(_u2547, _u2548, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2549))) )).
% 12.23/12.41 cnf(matrix-1281, plain, ( ~class_Rings_Olinordered__idom(_u2550) | ~c_Orderings_Oord__class_Oless__eq(_u2550, c_Power_Opower__class_Opower(_u2550, _u2551, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2552)), c_Groups_Ozero__class_Ozero(_u2550)) | ( _u2551 = c_Groups_Ozero__class_Ozero(_u2550)) )).
% 12.23/12.41 cnf(matrix-1282, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2553) | ( _u2553 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2554, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2553, _u2555))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2554) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2555, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1283, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2556) | ( _u2556 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2557, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2556, _u2558))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2557, _u2556) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2558) )).
% 12.23/12.41 cnf(matrix-1284, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-1285, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2559, _u2560), _u2561)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2561, _u2559) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2559) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2560) )).
% 12.23/12.41 cnf(matrix-1286, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2562, _u2563), _u2564), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2564) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2562) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2563, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1287, plain, ( ( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2565) = _u2565) )).
% 12.23/12.41 cnf(matrix-1288, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u2566), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2566) )).
% 12.23/12.41 cnf(matrix-1289, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2567, c_Nat_OSuc(_u2568)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2567, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2568)) )).
% 12.23/12.41 cnf(matrix-1290, plain, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.23/12.41 cnf(matrix-1291, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2569, _u2569) )).
% 12.23/12.41 cnf(matrix-1292, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2570, _u2571) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2571, _u2570) )).
% 12.23/12.41 cnf(matrix-1293, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2572, _u2573) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2573, _u2574) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2572, _u2574) )).
% 12.23/12.41 cnf(matrix-1294, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2575, _u2576) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2576, _u2575) | ( _u2575 = _u2576) )).
% 12.23/12.41 cnf(matrix-1295, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2577, _u2578) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2578, _u2577) | ( _u2577 = _u2578) )).
% 12.23/12.41 cnf(matrix-1296, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2579, _u2580) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2580, _u2581) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2579, _u2581) )).
% 12.23/12.41 cnf(matrix-1297, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2582, _u2583) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2583, _u2582) )).
% 12.23/12.41 cnf(matrix-1298, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2584, _u2584) )).
% 12.23/12.41 cnf(matrix-1299, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2585, _u2585) )).
% 12.23/12.41 cnf(matrix-1300, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2586, _u2587), _u2586) )).
% 12.23/12.41 cnf(matrix-1301, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2588, _u2589) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2589, _u2588) )).
% 12.23/12.41 cnf(matrix-1302, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2590, _u2591), _u2592) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2590, _u2592), _u2591)) )).
% 12.23/12.41 cnf(matrix-1303, plain, ( ( _u2593 != _u2594) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2593, _u2594) )).
% 12.23/12.41 cnf(matrix-1304, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2595, _u2596) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2597, _u2596), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2597, _u2595)) )).
% 12.23/12.41 cnf(matrix-1305, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2598, _u2599) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2598, _u2600), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2599, _u2600)) )).
% 12.23/12.41 cnf(matrix-1306, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2601, _u2602) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2602, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2602, _u2601)) = _u2601) )).
% 12.23/12.41 cnf(matrix-1307, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2603, _u2604) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2604, _u2605) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2603, _u2605) )).
% 12.23/12.41 cnf(matrix-1308, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2606, _u2607) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2607, _u2606) | ( _u2606 = _u2607) )).
% 12.23/12.41 cnf(matrix-1309, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2609) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2610) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2609, _u2608) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2610, _u2608)) | ( _u2609 = _u2610) )).
% 12.23/12.41 cnf(matrix-1310, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2609) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2608, _u2610) | ( _u2609 != _u2610) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2609, _u2608) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2610, _u2608)) )).
% 12.23/12.41 cnf(matrix-1311, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2611, _u2612) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2611, _u2613) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2612, _u2611), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2613, _u2611)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2612, _u2613)) )).
% 12.23/12.41 cnf(matrix-1312, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2615) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2616) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2615, _u2614), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2616, _u2614)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2615, _u2616) )).
% 12.23/12.41 cnf(matrix-1313, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2615) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2614, _u2616) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2615, _u2616) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2615, _u2614), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2616, _u2614)) )).
% 12.23/12.41 cnf(matrix-1314, plain, ( ~class_Rings_Ocomm__semiring__1(_u2617) | ( c_Power_Opower__class_Opower(_u2617, _u2618, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2618) )).
% 12.23/12.41 cnf(matrix-1315, plain, ( ~class_Groups_Omonoid__mult(_u2619) | ( c_Power_Opower__class_Opower(_u2619, _u2620, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2620) )).
% 12.23/12.41 cnf(matrix-1316, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2622, c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2622 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1317, plain, ( ( _u2623 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2623, c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1318, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2624) = _u2624) )).
% 12.23/12.41 cnf(matrix-1319, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2627, _u2629)) | ( _u2627 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1320, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2627, _u2629)) | ( _u2629 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1321, plain, ( ( _u2628 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2630 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2628, _u2630)) )).
% 12.23/12.41 cnf(matrix-1322, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2631, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2631) )).
% 12.23/12.41 cnf(matrix-1323, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2634, _u2636) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2634 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1324, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2634, _u2636) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2636 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1325, plain, ( ( _u2635 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2637 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2635, _u2637) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1326, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1327, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1328, plain, ( ( c_Nat_OSuc(_u2638) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2638, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1329, plain, ( ( c_Nat_OSuc(_u2639) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2639)) )).
% 12.23/12.41 cnf(matrix-1330, plain, ( ( _u2640 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2640, _u2641)) | ( _u2641 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2640 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1331, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2642) | ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2642, c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u2642) )).
% 12.23/12.41 cnf(matrix-1332, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2643) | ( _u2643 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2643, c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.23/12.41 cnf(matrix-1333, plain, ( ( _u2646 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2646, _u2648) = _u2648) )).
% 12.23/12.41 cnf(matrix-1334, plain, ( ( _u2647 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2647, _u2649) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2647, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2649))) )).
% 12.23/12.41 cnf(matrix-1335, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1336, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls))) )).
% 12.23/12.41 cnf(matrix-1337, plain, ( ( _u2652 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2652, _u2654) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1338, plain, ( ( _u2653 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2653, _u2655) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2655, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2653, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2655))) )).
% 12.23/12.41 cnf(matrix-1339, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2656) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2656) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2656, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1340, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2656) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2656, c_Groups_Oone__class_Oone(tc_Nat_Onat))) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u2656) )).
% 12.23/12.41 cnf(matrix-1341, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1342, plain, ( ( _u2659 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u2661, _u2659) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1343, plain, ( ( _u2660 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(tc_Nat_Onat, _u2662, _u2660) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2662, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2662, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2660, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.23/12.41 cnf(matrix-1344, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2663, _u2664), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2663, _u2665)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2663) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2664, _u2665) )).
% 12.23/12.41 cnf(matrix-1345, plain, ( ~class_Groups_Omonoid__mult(_u2666) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2667) | ( c_Groups_Otimes__class_Otimes(_u2666, c_Power_Opower__class_Opower(_u2666, _u2668, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2667, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u2668) = c_Power_Opower__class_Opower(_u2666, _u2668, _u2667)) )).
% 12.23/12.41 cnf(matrix-1346, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2669)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2669) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2669), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.23/12.41 cnf(matrix-1347, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2670) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2670, _u2671), _u2670) | ( _u2671 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1348, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2670) | ( _u2671 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2670, _u2671), _u2670) )).
% 12.23/12.41 cnf(matrix-1349, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2672) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2673, _u2672), _u2672) | ( _u2673 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1350, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2672) | ( _u2673 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2673, _u2672), _u2672) )).
% 12.23/12.41 cnf(matrix-1351, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-1352, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2674)) )).
% 12.23/12.41 cnf(matrix-1353, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1354, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2675) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2676) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2675, _u2676)) )).
% 12.23/12.41 cnf(matrix-1355, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2677) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2678) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2677, _u2678)) )).
% 12.23/12.41 cnf(matrix-1356, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2679) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, _u2679, _u2680)) )).
% 12.23/12.41 cnf(matrix-1357, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 12.23/12.41 cnf(matrix-1358, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2681, _u2682), _u2683) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2684, _u2685), _u2686)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2684, _u2685), _u2686), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2683, _u2681) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2686) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2684) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2684, _u2681) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2685, _u2682) )).
% 12.23/12.41 cnf(matrix-1359, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2687, _u2688), _u2689), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2687, _u2690), _u2691)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2687, _u2691) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2687, _u2689) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2690, _u2688) )).
% 12.23/12.41 cnf(matrix-1360, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2692, _u2693), _u2694) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2695, _u2696), _u2697)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2695, _u2696), _u2697)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2697, _u2695) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2694) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2695, _u2692) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2693, _u2696) )).
% 12.23/12.41 cnf(matrix-1361, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2698, _u2699), _u2700), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2698, _u2701), _u2702)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2700) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2700, _u2698) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2702, _u2698) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2699, _u2701) )).
% 12.23/12.41 cnf(matrix-1362, plain, ( ~class_Groups_Omonoid__mult(_u2703) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2704, _u2705) | ( c_Power_Opower__class_Opower(_u2703, _u2706, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u2705), _u2704)) = c_Groups_Otimes__class_Otimes(_u2703, c_Power_Opower__class_Opower(_u2703, _u2706, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2705, _u2704)), _u2706)) )).
% 12.23/12.41 cnf(matrix-1363, plain, ( ~class_Power_Opower(_u2707) | ( _u2708 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2707, _u2709, _u2708) = c_Groups_Oone__class_Oone(_u2707)) )).
% 12.23/12.41 cnf(matrix-1364, plain, ( ~class_Power_Opower(_u2707) | ( _u2708 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2707, _u2709, _u2708) = c_Groups_Otimes__class_Otimes(_u2707, _u2709, c_Power_Opower__class_Opower(_u2707, _u2709, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2708, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 12.23/12.41 cnf(matrix-1365, plain, ( ( _u2710 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2711, _u2710), c_Power_Opower__class_Opower(tc_Int_Oint, _u2712, _u2710)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2711, _u2712) )).
% 12.23/12.41 cnf(matrix-1366, plain, ( ( _u2710 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2711, _u2712) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2711, _u2710), c_Power_Opower__class_Opower(tc_Int_Oint, _u2712, _u2710)) )).
% 12.23/12.41 cnf(matrix-1367, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2713, _u2714), c_Power_Opower__class_Opower(tc_Int_Oint, _u2715, _u2714)) | ( _u2714 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2713, _u2715) )).
% 12.23/12.41 cnf(matrix-1368, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2716, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1369, plain, ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u2717) )).
% 12.23/12.41 cnf(matrix-1370, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2718) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2719, _u2718) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2719) )).
% 12.23/12.41 cnf(matrix-1371, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2720, _u2721), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2722, _u2721)) | ( _u2721 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2720, _u2722) )).
% 12.23/12.41 cnf(matrix-1372, plain, ( ( _u2723 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2724, _u2723), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2725, _u2723)) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2724, _u2725) )).
% 12.23/12.41 cnf(matrix-1373, plain, ( ( _u2723 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Rings_Odvd__class_Odvd(tc_Nat_Onat, _u2724, _u2725) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2724, _u2723), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2725, _u2723)) )).
% 12.23/12.41 cnf(matrix-1374, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2728)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2730)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2728))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2730), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2728))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-1375, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2729)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2731)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2729))) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2731), c_Groups_Oone__class_Oone(tc_Int_Oint)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2729))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-1376, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2732, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2733)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2732)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2733, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2732)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-1377, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2734, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2735, _u2736)) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2734, _u2736) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2734, _u2735) )).
% 12.23/12.41 cnf(matrix-1378, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2737, _u2738) | ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2737, _u2739) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2737, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2738, _u2739)) )).
% 12.23/12.41 cnf(matrix-1379, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2740, _u2741), _u2742), _u2741) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2740, _u2742), _u2741)) )).
% 12.23/12.41 cnf(matrix-1380, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2746, _u2748) != c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2750, _u2748)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2748, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2746, _u2750)) )).
% 12.23/12.41 cnf(matrix-1381, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, _u2749, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2747, _u2751)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2747, _u2749) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2751, _u2749)) )).
% 12.23/12.41 cnf(matrix-1382, plain, ( ~class_Divides_Osemiring__div(_u2752) | ( c_Divides_Odiv__class_Omod(_u2752, c_Groups_Oplus__class_Oplus(_u2752, _u2753, _u2754), _u2754) = c_Divides_Odiv__class_Omod(_u2752, _u2753, _u2754)) )).
% 12.23/12.41 cnf(matrix-1383, plain, ( ~class_Divides_Osemiring__div(_u2755) | ( c_Divides_Odiv__class_Omod(_u2755, c_Groups_Oplus__class_Oplus(_u2755, _u2756, _u2757), _u2756) = c_Divides_Odiv__class_Omod(_u2755, _u2757, _u2756)) )).
% 12.23/12.41 cnf(matrix-1384, plain, ( ~class_Divides_Osemiring__div(_u2758) | ( c_Divides_Odiv__class_Omod(_u2758, c_Groups_Oplus__class_Oplus(_u2758, _u2759, _u2760), _u2761) = c_Divides_Odiv__class_Omod(_u2758, c_Groups_Oplus__class_Oplus(_u2758, _u2759, c_Divides_Odiv__class_Omod(_u2758, _u2760, _u2761)), _u2761)) )).
% 12.23/12.41 cnf(matrix-1385, plain, ( ~class_Divides_Osemiring__div(_u2762) | ( c_Divides_Odiv__class_Omod(_u2762, c_Groups_Oplus__class_Oplus(_u2762, _u2763, _u2764), _u2765) = c_Divides_Odiv__class_Omod(_u2762, c_Groups_Oplus__class_Oplus(_u2762, c_Divides_Odiv__class_Omod(_u2762, _u2763, _u2765), _u2764), _u2765)) )).
% 12.23/12.41 cnf(matrix-1386, plain, ( ~class_Divides_Osemiring__div(_u2766) | ( c_Divides_Odiv__class_Omod(_u2766, c_Groups_Oplus__class_Oplus(_u2766, _u2767, _u2768), _u2769) = c_Divides_Odiv__class_Omod(_u2766, c_Groups_Oplus__class_Oplus(_u2766, c_Divides_Odiv__class_Omod(_u2766, _u2767, _u2769), c_Divides_Odiv__class_Omod(_u2766, _u2768, _u2769)), _u2769)) )).
% 12.23/12.41 cnf(matrix-1387, plain, ( ~class_Divides_Osemiring__div(_u2770) | ( c_Divides_Odiv__class_Omod(_u2770, c_Groups_Oplus__class_Oplus(_u2770, _u2771, c_Divides_Odiv__class_Omod(_u2770, _u2772, _u2773)), _u2773) = c_Divides_Odiv__class_Omod(_u2770, c_Groups_Oplus__class_Oplus(_u2770, _u2771, _u2772), _u2773)) )).
% 12.23/12.41 cnf(matrix-1388, plain, ( ~class_Divides_Osemiring__div(_u2774) | ( c_Divides_Odiv__class_Omod(_u2774, c_Groups_Oplus__class_Oplus(_u2774, c_Divides_Odiv__class_Omod(_u2774, _u2775, _u2776), _u2777), _u2776) = c_Divides_Odiv__class_Omod(_u2774, c_Groups_Oplus__class_Oplus(_u2774, _u2775, _u2777), _u2776)) )).
% 12.23/12.41 cnf(matrix-1389, plain, ( ~class_Divides_Osemiring__div(_u2778) | ( c_Divides_Odiv__class_Omod(_u2778, _u2779, _u2780) != c_Divides_Odiv__class_Omod(_u2778, _u2781, _u2780)) | ( c_Divides_Odiv__class_Omod(_u2778, _u2782, _u2780) != c_Divides_Odiv__class_Omod(_u2778, _u2783, _u2780)) | ( c_Divides_Odiv__class_Omod(_u2778, c_Groups_Oplus__class_Oplus(_u2778, _u2779, _u2782), _u2780) = c_Divides_Odiv__class_Omod(_u2778, c_Groups_Oplus__class_Oplus(_u2778, _u2781, _u2783), _u2780)) )).
% 12.23/12.41 cnf(matrix-1390, plain, ( ~class_Divides_Osemiring__div(_u2784) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2786) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, c_Divides_Odiv__class_Omod(_u2784, _u2787, _u2786)) | c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2787) )).
% 12.23/12.41 cnf(matrix-1391, plain, ( ~class_Divides_Osemiring__div(_u2784) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2786) | ~c_Rings_Odvd__class_Odvd(_u2784, _u2785, _u2787) | c_Rings_Odvd__class_Odvd(_u2784, _u2785, c_Divides_Odiv__class_Omod(_u2784, _u2787, _u2786)) )).
% 12.23/12.41 cnf(matrix-1392, plain, ( ~class_Divides_Osemiring__div(_u2788) | ~c_Rings_Odvd__class_Odvd(_u2788, _u2789, _u2790) | ( c_Divides_Odiv__class_Omod(_u2788, c_Divides_Odiv__class_Omod(_u2788, _u2791, _u2790), _u2789) = c_Divides_Odiv__class_Omod(_u2788, _u2791, _u2789)) )).
% 12.23/12.41 cnf(matrix-1393, plain, ( ~class_Divides_Osemiring__div(_u2792) | ~c_Rings_Odvd__class_Odvd(_u2792, _u2793, _u2794) | ~c_Rings_Odvd__class_Odvd(_u2792, _u2793, _u2795) | c_Rings_Odvd__class_Odvd(_u2792, _u2793, c_Divides_Odiv__class_Omod(_u2792, _u2794, _u2795)) )).
% 12.23/12.41 cnf(matrix-1394, plain, ( ~class_Divides_Osemiring__div(_u2796) | ~c_Rings_Odvd__class_Odvd(_u2796, _u2797, c_Divides_Odiv__class_Omod(_u2796, _u2798, _u2799)) | ~c_Rings_Odvd__class_Odvd(_u2796, _u2797, _u2799) | c_Rings_Odvd__class_Odvd(_u2796, _u2797, _u2798) )).
% 12.23/12.41 cnf(matrix-1395, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2800) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1396, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2801, _u2801) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1397, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2802) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2802, _u2803), _u2802) )).
% 12.23/12.41 cnf(matrix-1398, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2804) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2804, _u2805)) )).
% 12.23/12.41 cnf(matrix-1399, plain, ( ~class_Divides_Oring__div(_u2806) | ( c_Divides_Odiv__class_Omod(_u2806, _u2807, _u2808) != c_Divides_Odiv__class_Omod(_u2806, _u2809, _u2808)) | ( c_Divides_Odiv__class_Omod(_u2806, _u2810, _u2808) != c_Divides_Odiv__class_Omod(_u2806, _u2811, _u2808)) | ( c_Divides_Odiv__class_Omod(_u2806, c_Groups_Ominus__class_Ominus(_u2806, _u2807, _u2810), _u2808) = c_Divides_Odiv__class_Omod(_u2806, c_Groups_Ominus__class_Ominus(_u2806, _u2809, _u2811), _u2808)) )).
% 12.23/12.41 cnf(matrix-1400, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2812, _u2813), _u2814), _u2813) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2812, _u2814), _u2813)) )).
% 12.23/12.41 cnf(matrix-1401, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2815, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2816, _u2817)), _u2817) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2815, _u2816), _u2817)) )).
% 12.23/12.41 cnf(matrix-1402, plain, ( ~class_Divides_Oring__div(_u2818) | ( c_Divides_Odiv__class_Omod(_u2818, c_Groups_Ominus__class_Ominus(_u2818, _u2819, _u2820), _u2821) = c_Divides_Odiv__class_Omod(_u2818, c_Groups_Ominus__class_Ominus(_u2818, c_Divides_Odiv__class_Omod(_u2818, _u2819, _u2821), c_Divides_Odiv__class_Omod(_u2818, _u2820, _u2821)), _u2821)) )).
% 12.23/12.41 cnf(matrix-1403, plain, ( ~class_Divides_Oring__div(_u2822) | ( c_Divides_Odiv__class_Omod(_u2822, c_Groups_Ominus__class_Ominus(_u2822, _u2823, _u2824), _u2825) = c_Divides_Odiv__class_Omod(_u2822, c_Groups_Ominus__class_Ominus(_u2822, c_Divides_Odiv__class_Omod(_u2822, _u2823, _u2825), _u2824), _u2825)) )).
% 12.23/12.41 cnf(matrix-1404, plain, ( ~class_Divides_Oring__div(_u2826) | ( c_Divides_Odiv__class_Omod(_u2826, c_Groups_Ominus__class_Ominus(_u2826, _u2827, _u2828), _u2829) = c_Divides_Odiv__class_Omod(_u2826, c_Groups_Ominus__class_Ominus(_u2826, _u2827, c_Divides_Odiv__class_Omod(_u2826, _u2828, _u2829)), _u2829)) )).
% 12.23/12.41 cnf(matrix-1405, plain, ( ~class_Divides_Osemiring__div(_u2830) | ( c_Divides_Odiv__class_Omod(_u2830, c_Groups_Ozero__class_Ozero(_u2830), _u2831) = c_Groups_Ozero__class_Ozero(_u2830)) )).
% 12.23/12.41 cnf(matrix-1406, plain, ( ~class_Divides_Osemiring__div(_u2832) | ( c_Divides_Odiv__class_Omod(_u2832, _u2833, c_Groups_Ozero__class_Ozero(_u2832)) = _u2833) )).
% 12.23/12.41 cnf(matrix-1407, plain, ( ~class_Divides_Osemiring__div(_u2834) | ( c_Divides_Odiv__class_Omod(_u2834, _u2835, _u2835) = c_Groups_Ozero__class_Ozero(_u2834)) )).
% 12.23/12.41 cnf(matrix-1408, plain, ( ~class_Divides_Osemiring__div(_u2836) | ( c_Divides_Odiv__class_Omod(_u2836, c_Groups_Otimes__class_Otimes(_u2836, _u2837, _u2838), _u2837) = c_Groups_Ozero__class_Ozero(_u2836)) )).
% 12.23/12.41 cnf(matrix-1409, plain, ( ~class_Divides_Osemiring__div(_u2839) | ( c_Divides_Odiv__class_Omod(_u2839, c_Groups_Otimes__class_Otimes(_u2839, _u2840, _u2841), _u2841) = c_Groups_Ozero__class_Ozero(_u2839)) )).
% 12.23/12.41 cnf(matrix-1410, plain, ( ~class_Divides_Osemiring__div(_u2842) | ( c_Divides_Odiv__class_Omod(_u2842, c_Groups_Oplus__class_Oplus(_u2842, _u2843, c_Groups_Otimes__class_Otimes(_u2842, _u2844, _u2845)), _u2844) = c_Divides_Odiv__class_Omod(_u2842, _u2843, _u2844)) )).
% 12.23/12.41 cnf(matrix-1411, plain, ( ~class_Divides_Osemiring__div(_u2846) | ( c_Divides_Odiv__class_Omod(_u2846, c_Groups_Oplus__class_Oplus(_u2846, _u2847, c_Groups_Otimes__class_Otimes(_u2846, _u2848, _u2849)), _u2849) = c_Divides_Odiv__class_Omod(_u2846, _u2847, _u2849)) )).
% 12.23/12.41 cnf(matrix-1412, plain, ( ~class_Divides_Osemiring__div(_u2850) | ~c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) | ( c_Divides_Odiv__class_Omod(_u2850, _u2852, _u2851) = c_Groups_Ozero__class_Ozero(_u2850)) )).
% 12.23/12.41 cnf(matrix-1413, plain, ( ~class_Divides_Osemiring__div(_u2850) | ( c_Divides_Odiv__class_Omod(_u2850, _u2852, _u2851) != c_Groups_Ozero__class_Ozero(_u2850)) | c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) )).
% 12.23/12.41 cnf(matrix-1414, plain, ( ~class_Divides_Osemiring__div(_u2853) | ~c_Rings_Odvd__class_Odvd(_u2853, _u2854, _u2855) | ( c_Divides_Odiv__class_Omod(_u2853, _u2855, _u2854) = c_Groups_Ozero__class_Ozero(_u2853)) )).
% 12.23/12.41 cnf(matrix-1415, plain, ( ~class_Divides_Osemiring__div(_u2856) | ( c_Divides_Odiv__class_Omod(_u2856, c_Divides_Odiv__class_Omod(_u2856, _u2857, _u2858), _u2858) = c_Divides_Odiv__class_Omod(_u2856, _u2857, _u2858)) )).
% 12.23/12.41 cnf(matrix-1416, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2859, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2860, _u2861)), _u2861) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2859, _u2860), _u2861)) )).
% 12.23/12.41 cnf(matrix-1417, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2862, _u2863), _u2864) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2862, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2863, _u2864)), _u2864)) )).
% 12.23/12.41 cnf(matrix-1418, plain, ( ~class_Divides_Osemiring__div(_u2865) | ( c_Divides_Odiv__class_Omod(_u2865, c_Groups_Otimes__class_Otimes(_u2865, _u2866, _u2867), _u2868) = c_Divides_Odiv__class_Omod(_u2865, c_Groups_Otimes__class_Otimes(_u2865, _u2866, c_Divides_Odiv__class_Omod(_u2865, _u2867, _u2868)), _u2868)) )).
% 12.23/12.41 cnf(matrix-1419, plain, ( ~class_Divides_Osemiring__div(_u2869) | ( c_Divides_Odiv__class_Omod(_u2869, c_Groups_Otimes__class_Otimes(_u2869, _u2870, _u2871), _u2872) = c_Divides_Odiv__class_Omod(_u2869, c_Groups_Otimes__class_Otimes(_u2869, c_Divides_Odiv__class_Omod(_u2869, _u2870, _u2872), _u2871), _u2872)) )).
% 12.23/12.41 cnf(matrix-1420, plain, ( ~class_Divides_Osemiring__div(_u2873) | ( c_Divides_Odiv__class_Omod(_u2873, c_Groups_Otimes__class_Otimes(_u2873, _u2874, _u2875), _u2876) = c_Divides_Odiv__class_Omod(_u2873, c_Groups_Otimes__class_Otimes(_u2873, c_Divides_Odiv__class_Omod(_u2873, _u2874, _u2876), c_Divides_Odiv__class_Omod(_u2873, _u2875, _u2876)), _u2876)) )).
% 12.23/12.41 cnf(matrix-1421, plain, ( ~class_Divides_Osemiring__div(_u2877) | ( c_Divides_Odiv__class_Omod(_u2877, c_Groups_Otimes__class_Otimes(_u2877, _u2878, _u2879), c_Groups_Otimes__class_Otimes(_u2877, _u2878, _u2880)) = c_Groups_Otimes__class_Otimes(_u2877, _u2878, c_Divides_Odiv__class_Omod(_u2877, _u2879, _u2880))) )).
% 12.23/12.41 cnf(matrix-1422, plain, ( ~class_Divides_Osemiring__div(_u2881) | ( c_Divides_Odiv__class_Omod(_u2881, c_Groups_Otimes__class_Otimes(_u2881, _u2882, _u2883), c_Groups_Otimes__class_Otimes(_u2881, _u2884, _u2883)) = c_Groups_Otimes__class_Otimes(_u2881, c_Divides_Odiv__class_Omod(_u2881, _u2882, _u2884), _u2883)) )).
% 12.23/12.41 cnf(matrix-1423, plain, ( ~class_Divides_Osemiring__div(_u2885) | ( c_Divides_Odiv__class_Omod(_u2885, c_Groups_Otimes__class_Otimes(_u2885, c_Divides_Odiv__class_Omod(_u2885, _u2886, _u2887), _u2888), _u2887) = c_Divides_Odiv__class_Omod(_u2885, c_Groups_Otimes__class_Otimes(_u2885, _u2886, _u2888), _u2887)) )).
% 12.23/12.41 cnf(matrix-1424, plain, ( ~class_Divides_Osemiring__div(_u2889) | ( c_Divides_Odiv__class_Omod(_u2889, _u2890, _u2891) != c_Divides_Odiv__class_Omod(_u2889, _u2892, _u2891)) | ( c_Divides_Odiv__class_Omod(_u2889, _u2893, _u2891) != c_Divides_Odiv__class_Omod(_u2889, _u2894, _u2891)) | ( c_Divides_Odiv__class_Omod(_u2889, c_Groups_Otimes__class_Otimes(_u2889, _u2890, _u2893), _u2891) = c_Divides_Odiv__class_Omod(_u2889, c_Groups_Otimes__class_Otimes(_u2889, _u2892, _u2894), _u2891)) )).
% 12.23/12.41 cnf(matrix-1425, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2896, _u2895)) )).
% 12.23/12.41 cnf(matrix-1426, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2897) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2898, _u2897), _u2897) )).
% 12.23/12.41 cnf(matrix-1427, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2903, _u2905) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2903 = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2905, skolem16(_u2905, _u2903))) )).
% 12.23/12.41 cnf(matrix-1428, plain, ( ( _u2904 != c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2906, _u2900)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2904, _u2906) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1429, plain, ( ~class_Divides_Osemiring__div(_u2907) | ~class_Int_Onumber(_u2907) | ~c_Rings_Odvd__class_Odvd(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2908), c_Int_Onumber__class_Onumber__of(_u2907, _u2909)) | ( c_Divides_Odiv__class_Omod(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2909), c_Int_Onumber__class_Onumber__of(_u2907, _u2908)) = c_Groups_Ozero__class_Ozero(_u2907)) )).
% 12.23/12.41 cnf(matrix-1430, plain, ( ~class_Divides_Osemiring__div(_u2907) | ~class_Int_Onumber(_u2907) | ( c_Divides_Odiv__class_Omod(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2909), c_Int_Onumber__class_Onumber__of(_u2907, _u2908)) != c_Groups_Ozero__class_Ozero(_u2907)) | c_Rings_Odvd__class_Odvd(_u2907, c_Int_Onumber__class_Onumber__of(_u2907, _u2908), c_Int_Onumber__class_Onumber__of(_u2907, _u2909)) )).
% 12.23/12.41 cnf(matrix-1431, plain, ( ~class_Divides_Osemiring__div(_u2910) | ( c_Divides_Odiv__class_Omod(_u2910, _u2911, c_Groups_Oone__class_Oone(_u2910)) = c_Groups_Ozero__class_Ozero(_u2910)) )).
% 12.23/12.41 cnf(matrix-1432, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2912, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2913, _u2912) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2912, _u2913) = _u2912) )).
% 12.23/12.41 cnf(matrix-1433, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2914, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2915, _u2914), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1434, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2914, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2914, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2915, _u2914)) )).
% 12.23/12.41 cnf(matrix-1435, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2916, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2917, _u2916), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1436, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2918) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2918, _u2919) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2918, _u2919) = _u2918) )).
% 12.23/12.41 cnf(matrix-1437, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2920) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2921, _u2920)) )).
% 12.23/12.41 cnf(matrix-1438, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2920) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2921, _u2920), _u2920) )).
% 12.23/12.41 cnf(matrix-1439, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2922) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2923, _u2922)) )).
% 12.23/12.41 cnf(matrix-1440, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2924, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1441, plain, ( ~c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2927), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2929)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2929), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2927)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1442, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2930), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2928)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2928), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2930)) )).
% 12.23/12.41 cnf(matrix-1443, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2931) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, _u2932), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2931, _u2932) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, _u2932)) )).
% 12.23/12.41 cnf(matrix-1444, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2933)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2934))) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2933), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2934)))) )).
% 12.23/12.41 cnf(matrix-1445, plain, ( ~hBOOL(hAPP(_u2946, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2948, _u2950))) | ( _u2950 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u2946, _u2948)) )).
% 12.23/12.41 cnf(matrix-1446, plain, ( ~hBOOL(hAPP(_u2946, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2948, _u2950))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2950) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2935) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2935, _u2950) | ( _u2948 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2950, _u2936), _u2935)) | hBOOL(hAPP(_u2946, _u2935)) )).
% 12.23/12.41 cnf(matrix-1447, plain, ( ~hBOOL(hAPP(_u2946, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2948, _u2950))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2950, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2950, _u2937) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2937, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2948 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2950, _u2938), _u2937)) | hBOOL(hAPP(_u2946, _u2937)) )).
% 12.23/12.41 cnf(matrix-1448, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1449, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1450, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1451, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1452, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1453, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1454, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1455, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1456, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1457, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1458, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1459, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1460, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1461, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1462, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1463, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1464, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1465, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1466, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1467, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1468, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1469, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1470, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1471, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1472, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1473, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1474, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1475, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1476, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1477, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ( _u2951 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1478, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1479, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1480, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1481, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1482, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2951, skolem20(_u2951, _u2949, _u2947)) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1483, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1484, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1485, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1486, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1487, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem20(_u2951, _u2949, _u2947), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1488, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1489, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1490, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1491, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1492, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem19(_u2951, _u2949, _u2947)), skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1493, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2951) )).
% 12.23/12.41 cnf(matrix-1494, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem18(_u2951, _u2949, _u2947)) )).
% 12.23/12.41 cnf(matrix-1495, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem18(_u2951, _u2949, _u2947), _u2951) )).
% 12.23/12.41 cnf(matrix-1496, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ( _u2949 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2951, skolem17(_u2951, _u2949, _u2947)), skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1497, plain, ( hBOOL(hAPP(_u2947, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2949, _u2951))) | ~hBOOL(hAPP(_u2947, skolem20(_u2951, _u2949, _u2947))) | ~hBOOL(hAPP(_u2947, _u2949)) | ~hBOOL(hAPP(_u2947, skolem18(_u2951, _u2949, _u2947))) )).
% 12.23/12.41 cnf(matrix-1498, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2952) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2953) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2953, _u2954) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2954, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2955, _u2952)), _u2953)) )).
% 12.23/12.41 cnf(matrix-1499, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2956) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2957) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2957, _u2958) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2958, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2959, _u2956)), _u2957), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2958, _u2956)) )).
% 12.23/12.41 cnf(matrix-1500, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2960) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2961, _u2962) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2962, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2961, _u2960), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2961, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2963, _u2960)), _u2962)) )).
% 12.23/12.41 cnf(matrix-1501, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2964) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2965, _u2966) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2966, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2965, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2967, _u2964)), _u2966), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1502, plain, ( ( _u2968 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2969, _u2970), _u2971)) | ( _u2969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2968, _u2969) = _u2971) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2969, _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2971, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1503, plain, ( ( _u2968 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2969, _u2970), _u2971)) | ( _u2969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2968, _u2969) = _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2971) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2971, _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2969) )).
% 12.23/12.41 cnf(matrix-1504, plain, ( ( _u2968 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2969, _u2970), _u2971)) | ( _u2969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2968, _u2969) = _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2971) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2971, _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2969, _u2971) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2971, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1505, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2973, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2973, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1506, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2974, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2974, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1507, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u2976) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2976, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1508, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2977, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, _u2977) )).
% 12.23/12.41 cnf(matrix-1509, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2978) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin), _u2978) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2978, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.23/12.41 cnf(matrix-1510, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2979) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2980)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2979)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2980, _u2979)))) )).
% 12.23/12.41 cnf(matrix-1511, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2981, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2982)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2981)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2982, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2981)) )).
% 12.23/12.41 cnf(matrix-1512, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2983) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2984)), c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2983)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2984, _u2983)) )).
% 12.23/12.41 cnf(matrix-1513, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2985, _u2986), _u2987)), _u2986) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u2987), _u2986)) )).
% 12.23/12.41 cnf(matrix-1514, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2988, _u2989) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2988, _u2989) = _u2988) )).
% 12.23/12.41 cnf(matrix-1515, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2990, _u2991) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2990, _u2991) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2990, _u2991), _u2991)) )).
% 12.23/12.41 cnf(matrix-1516, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2992, _u2993), _u2994) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2992, _u2994), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2993, _u2994)), c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2992, _u2994), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2993, _u2994)), _u2994))) )).
% 12.23/12.41 cnf(matrix-1517, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2997, _u2999) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2997, _u2999) = _u2997) )).
% 12.23/12.41 cnf(matrix-1518, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2998, _u3000) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2998, _u3000) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2998, _u3000), _u3000)) )).
% 12.23/12.41 cnf(matrix-1519, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3002, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1520, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3003, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u3003) )).
% 12.23/12.41 cnf(matrix-1521, plain, ( ~class_Divides_Osemiring__div(_u3004) | ( c_Divides_Odiv__class_Odiv(_u3004, c_Divides_Odiv__class_Omod(_u3004, _u3005, _u3006), _u3006) = c_Groups_Ozero__class_Ozero(_u3004)) )).
% 12.23/12.41 cnf(matrix-1522, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3007, _u3008), _u3008) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1523, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3009, _u3010) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3010, _u3009) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3010, _u3009), _u3009)) )).
% 12.23/12.41 cnf(matrix-1524, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3011, _u3012), _u3011) )).
% 12.23/12.41 cnf(matrix-1525, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3013, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3014, _u3015)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3013, _u3014), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3013, _u3015))) )).
% 12.23/12.41 cnf(matrix-1526, plain, ( ( c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3016, _u3017), _u3018) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3016, _u3018), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3017, _u3018))) )).
% 12.23/12.41 cnf(matrix-1527, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u3019), _u3020) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3019, _u3020)), _u3020)) )).
% 12.23/12.41 cnf(matrix-1528, plain, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3023, _u3025)) != _u3025) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u3023), _u3025) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1529, plain, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3024, _u3026)) = _u3026) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u3024), _u3026) = c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3024, _u3026))) )).
% 12.23/12.41 cnf(matrix-1530, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3027, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1531, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3028) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3029, _u3028), _u3028) )).
% 12.23/12.41 cnf(matrix-1532, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3034, _u3036) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3034 = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3036, skolem21(_u3036, _u3034))) )).
% 12.23/12.41 cnf(matrix-1533, plain, ( ( _u3035 != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3037, _u3031)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3035, _u3037) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1534, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u3038, _u3039), _u3040), _u3039) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3040, _u3039)) )).
% 12.23/12.41 cnf(matrix-1535, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3041) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3042, _u3041), _u3041) )).
% 12.23/12.41 cnf(matrix-1536, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3043) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3043, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1537, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3044) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3044, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1538, plain, ( c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3046) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3046, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.23/12.41 cnf(matrix-1539, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3047, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3047) )).
% 12.23/12.41 cnf(matrix-1540, plain, ( ~c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3049) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3049, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.23/12.41 cnf(matrix-1541, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3050, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat, _u3050) )).
% 12.23/12.41 cnf(matrix-1542, plain, ( ~class_Divides_Osemiring__div(_u3051) | ( c_Divides_Odiv__class_Odiv(_u3051, _u3052, c_Groups_Oone__class_Oone(_u3051)) = _u3052) )).
% 12.23/12.41 cnf(matrix-1543, plain, ( ( _u3053 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3053, _u3053) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1544, plain, ( ~class_Divides_Osemiring__div(_u3054) | ( _u3055 = c_Groups_Ozero__class_Ozero(_u3054)) | ( c_Divides_Odiv__class_Odiv(_u3054, _u3055, _u3055) = c_Groups_Oone__class_Oone(_u3054)) )).
% 12.23/12.41 cnf(matrix-1545, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3056, _u3057) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3058, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3057, _u3058), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3056, _u3058)) )).
% 12.23/12.41 cnf(matrix-1546, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3059, _u3060) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3061) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3059, _u3061), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3060, _u3061)) )).
% 12.23/12.41 cnf(matrix-1547, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3062, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3063, _u3062) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3062, _u3063) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1548, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3064, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3065) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3065, _u3066) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3064, _u3065), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3064, _u3066)) )).
% 12.23/12.41 cnf(matrix-1549, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3067, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3068) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3067, _u3068), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1550, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3069, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3070, _u3069)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3070, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1551, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3069, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3070, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3070, _u3069)) )).
% 12.23/12.41 cnf(matrix-1552, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3071) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3071, _u3072) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3071, _u3072) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1553, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3073) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3074, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3073, _u3074), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1554, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3075) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3076) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3076, _u3077) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3075, _u3077), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3075, _u3076)) )).
% 12.23/12.41 cnf(matrix-1555, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3078) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3078, _u3079)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3079, _u3078) )).
% 12.23/12.41 cnf(matrix-1556, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3078) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3078, _u3079)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3079) )).
% 12.23/12.41 cnf(matrix-1557, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3078) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3079, _u3078) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3079) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3078, _u3079)) )).
% 12.23/12.41 cnf(matrix-1558, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3080) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3081, _u3080)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3080, _u3081) )).
% 12.23/12.41 cnf(matrix-1559, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3080) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3080, _u3081) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3081, _u3080)) )).
% 12.23/12.41 cnf(matrix-1560, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3082) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3083, _u3082)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3083) )).
% 12.23/12.41 cnf(matrix-1561, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3082) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3083) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3083, _u3082)) )).
% 12.23/12.41 cnf(matrix-1562, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3086) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3086, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1563, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3086) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3088, _u3086) )).
% 12.23/12.41 cnf(matrix-1564, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3086, _u3088) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3086, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1565, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3086, _u3088) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3088 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3086, _u3088) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3088, _u3086) )).
% 12.23/12.41 cnf(matrix-1566, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3087, _u3089) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u3089 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.23/12.41 cnf(matrix-1567, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3087, _u3089) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3087) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3087, _u3089) )).
% 12.23/12.41 cnf(matrix-1568, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3087, _u3089) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u3087, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3089, _u3087) )).
% 12.23/12.41 cnf(matrix-1569, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3090) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u3091) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3090, _u3091), _u3090) )).
% 12.23/12.41 cnf(matrix-1570, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3092) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3093, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u3094, _u3092)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3093, _u3094), _u3092)) )).
% 12.23/12.41 cnf(matrix-1571, plain, ( ~class_Divides_Osemiring__div(_u3095) | ~c_Rings_Odvd__class_Odvd(_u3095, _u3096, _u3097) | ( c_Power_Opower__class_Opower(_u3095, c_Divides_Odiv__class_Odiv(_u3095, _u3097, _u3096), _u3098) = c_Divides_Odiv__class_Odiv(_u3095, c_Power_Opower__class_Opower(_u3095, _u3097, _u3098), c_Power_Opower__class_Opower(_u3095, _u3096, _u3098))) )).
% 12.23/12.41 cnf(matrix-1572, plain, ( ~class_Divides_Osemiring__div(_u3099) | ~c_Rings_Odvd__class_Odvd(_u3099, _u3100, _u3101) | ~c_Rings_Odvd__class_Odvd(_u3099, _u3100, _u3102) | ( c_Divides_Odiv__class_Odiv(_u3099, c_Groups_Oplus__class_Oplus(_u3099, _u3101, _u3102), _u3100) = c_Groups_Oplus__class_Oplus(_u3099, c_Divides_Odiv__class_Odiv(_u3099, _u3101, _u3100), c_Divides_Odiv__class_Odiv(_u3099, _u3102, _u3100))) )).
% 12.23/12.41 cnf(matrix-1573, plain, ( ~class_Divides_Osemiring__div(_u3103) | ~c_Rings_Odvd__class_Odvd(_u3103, _u3104, _u3105) | ( c_Groups_Otimes__class_Otimes(_u3103, _u3104, c_Divides_Odiv__class_Odiv(_u3103, _u3105, _u3104)) = _u3105) )).
% 12.23/12.41 cnf(matrix-1574, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1575, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1576, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1577, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1578, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1579, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1580, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1581, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1582, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1583, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1584, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1585, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1586, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1587, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1588, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1589, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1590, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1591, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1592, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1593, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1594, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1595, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1596, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1597, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1598, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1599, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1600, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1601, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1602, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1603, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1604, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1605, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1606, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1607, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1608, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1609, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1610, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1611, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1612, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1613, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1614, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1615, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1616, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1617, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1618, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1619, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1620, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1621, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1622, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1623, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1624, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1625, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1626, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1627, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1628, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 12.23/12.41 cnf(matrix-1629, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1630, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1631, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1632, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1633, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1634, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1635, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1636, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1637, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1638, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1639, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1640, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1641, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1642, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1643, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1644, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1645, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1646, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1647, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1648, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1649, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1650, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1651, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1652, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1653, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1654, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1655, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1656, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1657, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1658, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1659, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1660, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1661, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1662, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1663, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 12.23/12.41 cnf(matrix-1664, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1665, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1666, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1667, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1668, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1669, plain, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1670, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1671, plain, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1672, plain, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1673, plain, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1674, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1675, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1676, plain, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1677, plain, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1678, plain, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1679, plain, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1680, plain, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1681, plain, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1682, plain, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1683, plain, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1684, plain, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1685, plain, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1686, plain, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1687, plain, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1688, plain, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1689, plain, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1690, plain, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1691, plain, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1692, plain, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1693, plain, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1694, plain, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1695, plain, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1696, plain, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1697, plain, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1698, plain, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1699, plain, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1700, plain, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1701, plain, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1702, plain, ( class_Rings_Osemiring__1(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1703, plain, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1704, plain, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1705, plain, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1706, plain, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1707, plain, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1708, plain, ( class_Int_Onumber__ring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1709, plain, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1710, plain, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1711, plain, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1712, plain, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1713, plain, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1714, plain, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1715, plain, ( class_Int_Onumber(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1716, plain, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1717, plain, ( class_Rings_Odvd(tc_RealDef_Oreal) )).
% 12.23/12.41 cnf(matrix-1718, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1719, plain, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1720, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1721, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1722, plain, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1723, plain, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1724, plain, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1725, plain, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1726, plain, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1727, plain, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1728, plain, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1729, plain, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1730, plain, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1731, plain, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1732, plain, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1733, plain, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1734, plain, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1735, plain, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1736, plain, ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1737, plain, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1738, plain, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1739, plain, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1740, plain, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1741, plain, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1742, plain, ( class_Int_Onumber__ring(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1743, plain, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1744, plain, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1745, plain, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1746, plain, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1747, plain, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1748, plain, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1749, plain, ( class_Int_Onumber(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1750, plain, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1751, plain, ( class_Rings_Odvd(tc_Complex_Ocomplex) )).
% 12.23/12.41 cnf(matrix-1752, plain, ( ( v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u3106)) | v_thesis____ )).
% 12.23/12.41 cnf(matrix-1753, plain, ( ~v_thesis____ )).
% 12.23/12.41
% 12.23/12.41 % Proof stack:
% 12.23/12.41 cnf(proof-stack, plain,
% 12.23/12.41 proof_stack(
% 12.23/12.41 start(1753),
% 12.23/12.41 left_branch(0, 1752, 1, 2),
% 12.23/12.41 left_branch(0, 99, 0, 3),
% 12.23/12.41 right_branch(3),
% 12.23/12.41 right_branch(2)
% 12.23/12.41 )).
% 12.23/12.41 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------