/****************************************************************************** * Top contributors (to current version): * Andrew Reynolds, Haniel Barbosa, Gereon Kremer * * This file is part of the cvc5 project. * * Copyright (c) 2009-2021 by the authors listed in the file AUTHORS * in the top-level source directory and their institutional affiliations. * All rights reserved. See the file COPYING in the top-level source * directory for licensing information. * **************************************************************************** * * Implementation of proof rule. */ #include "proof/proof_rule.h" #include namespace cvc5 { const char* toString(PfRule id) { switch (id) { //================================================= Core rules case PfRule::ASSUME: return "ASSUME"; case PfRule::SCOPE: return "SCOPE"; case PfRule::SUBS: return "SUBS"; case PfRule::REWRITE: return "REWRITE"; case PfRule::EVALUATE: return "EVALUATE"; case PfRule::MACRO_SR_EQ_INTRO: return "MACRO_SR_EQ_INTRO"; case PfRule::MACRO_SR_PRED_INTRO: return "MACRO_SR_PRED_INTRO"; case PfRule::MACRO_SR_PRED_ELIM: return "MACRO_SR_PRED_ELIM"; case PfRule::MACRO_SR_PRED_TRANSFORM: return "MACRO_SR_PRED_TRANSFORM"; case PfRule::REMOVE_TERM_FORMULA_AXIOM: return "REMOVE_TERM_FORMULA_AXIOM"; //================================================= Trusted rules case PfRule::THEORY_LEMMA: return "THEORY_LEMMA"; case PfRule::THEORY_REWRITE: return "THEORY_REWRITE"; case PfRule::PREPROCESS: return "PREPROCESS"; case PfRule::PREPROCESS_LEMMA: return "PREPROCESS_LEMMA"; case PfRule::THEORY_PREPROCESS: return "THEORY_PREPROCESS"; case PfRule::THEORY_PREPROCESS_LEMMA: return "THEORY_PREPROCESS_LEMMA"; case PfRule::THEORY_EXPAND_DEF: return "THEORY_EXPAND_DEF"; case PfRule::WITNESS_AXIOM: return "WITNESS_AXIOM"; case PfRule::TRUST_REWRITE: return "TRUST_REWRITE"; case PfRule::TRUST_SUBS: return "TRUST_SUBS"; case PfRule::TRUST_SUBS_MAP: return "TRUST_SUBS_MAP"; //================================================= Boolean rules case PfRule::RESOLUTION: return "RESOLUTION"; case PfRule::CHAIN_RESOLUTION: return "CHAIN_RESOLUTION"; case PfRule::FACTORING: return "FACTORING"; case PfRule::REORDERING: return "REORDERING"; case PfRule::MACRO_RESOLUTION: return "MACRO_RESOLUTION"; case PfRule::MACRO_RESOLUTION_TRUST: return "MACRO_RESOLUTION_TRUST"; case PfRule::SPLIT: return "SPLIT"; case PfRule::EQ_RESOLVE: return "EQ_RESOLVE"; case PfRule::MODUS_PONENS: return "MODUS_PONENS"; case PfRule::NOT_NOT_ELIM: return "NOT_NOT_ELIM"; case PfRule::CONTRA: return "CONTRA"; case PfRule::AND_ELIM: return "AND_ELIM"; case PfRule::AND_INTRO: return "AND_INTRO"; case PfRule::NOT_OR_ELIM: return "NOT_OR_ELIM"; case PfRule::IMPLIES_ELIM: return "IMPLIES_ELIM"; case PfRule::NOT_IMPLIES_ELIM1: return "NOT_IMPLIES_ELIM1"; case PfRule::NOT_IMPLIES_ELIM2: return "NOT_IMPLIES_ELIM2"; case PfRule::EQUIV_ELIM1: return "EQUIV_ELIM1"; case PfRule::EQUIV_ELIM2: return "EQUIV_ELIM2"; case PfRule::NOT_EQUIV_ELIM1: return "NOT_EQUIV_ELIM1"; case PfRule::NOT_EQUIV_ELIM2: return "NOT_EQUIV_ELIM2"; case PfRule::XOR_ELIM1: return "XOR_ELIM1"; case PfRule::XOR_ELIM2: return "XOR_ELIM2"; case PfRule::NOT_XOR_ELIM1: return "NOT_XOR_ELIM1"; case PfRule::NOT_XOR_ELIM2: return "NOT_XOR_ELIM2"; case PfRule::ITE_ELIM1: return "ITE_ELIM1"; case PfRule::ITE_ELIM2: return "ITE_ELIM2"; case PfRule::NOT_ITE_ELIM1: return "NOT_ITE_ELIM1"; case PfRule::NOT_ITE_ELIM2: return "NOT_ITE_ELIM2"; //================================================= De Morgan rules case PfRule::NOT_AND: return "NOT_AND"; //================================================= CNF rules case PfRule::CNF_AND_POS: return "CNF_AND_POS"; case PfRule::CNF_AND_NEG: return "CNF_AND_NEG"; case PfRule::CNF_OR_POS: return "CNF_OR_POS"; case PfRule::CNF_OR_NEG: return "CNF_OR_NEG"; case PfRule::CNF_IMPLIES_POS: return "CNF_IMPLIES_POS"; case PfRule::CNF_IMPLIES_NEG1: return "CNF_IMPLIES_NEG1"; case PfRule::CNF_IMPLIES_NEG2: return "CNF_IMPLIES_NEG2"; case PfRule::CNF_EQUIV_POS1: return "CNF_EQUIV_POS1"; case PfRule::CNF_EQUIV_POS2: return "CNF_EQUIV_POS2"; case PfRule::CNF_EQUIV_NEG1: return "CNF_EQUIV_NEG1"; case PfRule::CNF_EQUIV_NEG2: return "CNF_EQUIV_NEG2"; case PfRule::CNF_XOR_POS1: return "CNF_XOR_POS1"; case PfRule::CNF_XOR_POS2: return "CNF_XOR_POS2"; case PfRule::CNF_XOR_NEG1: return "CNF_XOR_NEG1"; case PfRule::CNF_XOR_NEG2: return "CNF_XOR_NEG2"; case PfRule::CNF_ITE_POS1: return "CNF_ITE_POS1"; case PfRule::CNF_ITE_POS2: return "CNF_ITE_POS2"; case PfRule::CNF_ITE_POS3: return "CNF_ITE_POS3"; case PfRule::CNF_ITE_NEG1: return "CNF_ITE_NEG1"; case PfRule::CNF_ITE_NEG2: return "CNF_ITE_NEG2"; case PfRule::CNF_ITE_NEG3: return "CNF_ITE_NEG3"; //================================================= Equality rules case PfRule::REFL: return "REFL"; case PfRule::SYMM: return "SYMM"; case PfRule::TRANS: return "TRANS"; case PfRule::CONG: return "CONG"; case PfRule::TRUE_INTRO: return "TRUE_INTRO"; case PfRule::TRUE_ELIM: return "TRUE_ELIM"; case PfRule::FALSE_INTRO: return "FALSE_INTRO"; case PfRule::FALSE_ELIM: return "FALSE_ELIM"; case PfRule::HO_APP_ENCODE: return "HO_APP_ENCODE"; case PfRule::HO_CONG: return "HO_CONG"; //================================================= Array rules case PfRule::ARRAYS_READ_OVER_WRITE: return "ARRAYS_READ_OVER_WRITE"; case PfRule::ARRAYS_READ_OVER_WRITE_CONTRA: return "ARRAYS_READ_OVER_WRITE_CONTRA"; case PfRule::ARRAYS_READ_OVER_WRITE_1: return "ARRAYS_READ_OVER_WRITE_1"; case PfRule::ARRAYS_EXT: return "ARRAYS_EXT"; case PfRule::ARRAYS_TRUST: return "ARRAYS_TRUST"; //================================================= Bit-Vector rules case PfRule::BV_BITBLAST: return "BV_BITBLAST"; case PfRule::BV_BITBLAST_CONST: return "BV_BITBLAST_CONST"; case PfRule::BV_BITBLAST_VAR: return "BV_BITBLAST_VAR"; case PfRule::BV_BITBLAST_EQUAL: return "BV_BITBLAST_EQUAL"; case PfRule::BV_BITBLAST_ULT: return "BV_BITBLAST_ULT"; case PfRule::BV_BITBLAST_ULE: return "BV_BITBLAST_ULE"; case PfRule::BV_BITBLAST_UGT: return "BV_BITBLAST_UGT"; case PfRule::BV_BITBLAST_UGE: return "BV_BITBLAST_UGE"; case PfRule::BV_BITBLAST_SLT: return "BV_BITBLAST_SLT"; case PfRule::BV_BITBLAST_SLE: return "BV_BITBLAST_SLE"; case PfRule::BV_BITBLAST_SGT: return "BV_BITBLAST_SGT"; case PfRule::BV_BITBLAST_SGE: return "BV_BITBLAST_SGE"; case PfRule::BV_BITBLAST_NOT: return "BV_BITBLAST_NOT"; case PfRule::BV_BITBLAST_CONCAT: return "BV_BITBLAST_CONCAT"; case PfRule::BV_BITBLAST_AND: return "BV_BITBLAST_AND"; case PfRule::BV_BITBLAST_OR: return "BV_BITBLAST_OR"; case PfRule::BV_BITBLAST_XOR: return "BV_BITBLAST_XOR"; case PfRule::BV_BITBLAST_XNOR: return "BV_BITBLAST_XNOR"; case PfRule::BV_BITBLAST_NAND: return "BV_BITBLAST_NAND"; case PfRule::BV_BITBLAST_NOR: return "BV_BITBLAST_NOR"; case PfRule::BV_BITBLAST_COMP: return "BV_BITBLAST_COMP"; case PfRule::BV_BITBLAST_MULT: return "BV_BITBLAST_MULT"; case PfRule::BV_BITBLAST_ADD: return "BV_BITBLAST_ADD"; case PfRule::BV_BITBLAST_SUB: return "BV_BITBLAST_SUB"; case PfRule::BV_BITBLAST_NEG: return "BV_BITBLAST_NEG"; case PfRule::BV_BITBLAST_UDIV: return "BV_BITBLAST_UDIV"; case PfRule::BV_BITBLAST_UREM: return "BV_BITBLAST_UREM"; case PfRule::BV_BITBLAST_SDIV: return "BV_BITBLAST_SDIV"; case PfRule::BV_BITBLAST_SREM: return "BV_BITBLAST_SREM"; case PfRule::BV_BITBLAST_SMOD: return "BV_BITBLAST_SMOD"; case PfRule::BV_BITBLAST_SHL: return "BV_BITBLAST_SHL"; case PfRule::BV_BITBLAST_LSHR: return "BV_BITBLAST_LSHR"; case PfRule::BV_BITBLAST_ASHR: return "BV_BITBLAST_ASHR"; case PfRule::BV_BITBLAST_ULTBV: return "BV_BITBLAST_ULTBV"; case PfRule::BV_BITBLAST_SLTBV: return "BV_BITBLAST_SLTBV"; case PfRule::BV_BITBLAST_ITE: return "BV_BITBLAST_ITE"; case PfRule::BV_BITBLAST_EXTRACT: return "BV_BITBLAST_EXTRACT"; case PfRule::BV_BITBLAST_REPEAT: return "BV_BITBLAST_REPEAT"; case PfRule::BV_BITBLAST_ZERO_EXTEND: return "BV_BITBLAST_ZERO_EXTEND"; case PfRule::BV_BITBLAST_SIGN_EXTEND: return "BV_BITBLAST_SIGN_EXTEND"; case PfRule::BV_BITBLAST_ROTATE_RIGHT: return "BV_BITBLAST_ROTATE_RIGHT"; case PfRule::BV_BITBLAST_ROTATE_LEFT: return "BV_BITBLAST_ROTATE_LEFT"; case PfRule::BV_EAGER_ATOM: return "BV_EAGER_ATOM"; //================================================= Datatype rules case PfRule::DT_UNIF: return "DT_UNIF"; case PfRule::DT_INST: return "DT_INST"; case PfRule::DT_COLLAPSE: return "DT_COLLAPSE"; case PfRule::DT_SPLIT: return "DT_SPLIT"; case PfRule::DT_CLASH: return "DT_CLASH"; case PfRule::DT_TRUST: return "DT_TRUST"; //================================================= Quantifiers rules case PfRule::SKOLEM_INTRO: return "SKOLEM_INTRO"; case PfRule::EXISTS_INTRO: return "EXISTS_INTRO"; case PfRule::SKOLEMIZE: return "SKOLEMIZE"; case PfRule::INSTANTIATE: return "INSTANTIATE"; //================================================= String rules case PfRule::CONCAT_EQ: return "CONCAT_EQ"; case PfRule::CONCAT_UNIFY: return "CONCAT_UNIFY"; case PfRule::CONCAT_CONFLICT: return "CONCAT_CONFLICT"; case PfRule::CONCAT_SPLIT: return "CONCAT_SPLIT"; case PfRule::CONCAT_CSPLIT: return "CONCAT_CSPLIT"; case PfRule::CONCAT_LPROP: return "CONCAT_LPROP"; case PfRule::CONCAT_CPROP: return "CONCAT_CPROP"; case PfRule::STRING_DECOMPOSE: return "STRING_DECOMPOSE"; case PfRule::STRING_LENGTH_POS: return "STRING_LENGTH_POS"; case PfRule::STRING_LENGTH_NON_EMPTY: return "STRING_LENGTH_NON_EMPTY"; case PfRule::STRING_REDUCTION: return "STRING_REDUCTION"; case PfRule::STRING_EAGER_REDUCTION: return "STRING_EAGER_REDUCTION"; case PfRule::RE_INTER: return "RE_INTER"; case PfRule::RE_UNFOLD_POS: return "RE_UNFOLD_POS"; case PfRule::RE_UNFOLD_NEG: return "RE_UNFOLD_NEG"; case PfRule::RE_UNFOLD_NEG_CONCAT_FIXED: return "RE_UNFOLD_NEG_CONCAT_FIXED"; case PfRule::RE_ELIM: return "RE_ELIM"; case PfRule::STRING_CODE_INJ: return "STRING_CODE_INJ"; case PfRule::STRING_SEQ_UNIT_INJ: return "STRING_SEQ_UNIT_INJ"; case PfRule::STRING_TRUST: return "STRING_TRUST"; //================================================= Arith rules case PfRule::MACRO_ARITH_SCALE_SUM_UB: return "ARITH_SCALE_SUM_UPPER_BOUNDS"; case PfRule::ARITH_SUM_UB: return "ARITH_SUM_UB"; case PfRule::ARITH_TRICHOTOMY: return "ARITH_TRICHOTOMY"; case PfRule::INT_TIGHT_LB: return "INT_TIGHT_LB"; case PfRule::INT_TIGHT_UB: return "INT_TIGHT_UB"; case PfRule::INT_TRUST: return "INT_TRUST"; case PfRule::ARITH_MULT_SIGN: return "ARITH_MULT_SIGN"; case PfRule::ARITH_MULT_POS: return "ARITH_MULT_POS"; case PfRule::ARITH_MULT_NEG: return "ARITH_MULT_NEG"; case PfRule::ARITH_MULT_TANGENT: return "ARITH_MULT_TANGENT"; case PfRule::ARITH_OP_ELIM_AXIOM: return "ARITH_OP_ELIM_AXIOM"; case PfRule::ARITH_TRANS_PI: return "ARITH_TRANS_PI"; case PfRule::ARITH_TRANS_EXP_NEG: return "ARITH_TRANS_EXP_NEG"; case PfRule::ARITH_TRANS_EXP_POSITIVITY: return "ARITH_TRANS_EXP_POSITIVITY"; case PfRule::ARITH_TRANS_EXP_SUPER_LIN: return "ARITH_TRANS_EXP_SUPER_LIN"; case PfRule::ARITH_TRANS_EXP_ZERO: return "ARITH_TRANS_EXP_ZERO"; case PfRule::ARITH_TRANS_EXP_APPROX_ABOVE_NEG: return "ARITH_TRANS_EXP_APPROX_ABOVE_NEG"; case PfRule::ARITH_TRANS_EXP_APPROX_ABOVE_POS: return "ARITH_TRANS_EXP_APPROX_ABOVE_POS"; case PfRule::ARITH_TRANS_EXP_APPROX_BELOW: return "ARITH_TRANS_EXP_APPROX_BELOW"; case PfRule::ARITH_TRANS_SINE_BOUNDS: return "ARITH_TRANS_SINE_BOUNDS"; case PfRule::ARITH_TRANS_SINE_SHIFT: return "ARITH_TRANS_SINE_SHIFT"; case PfRule::ARITH_TRANS_SINE_SYMMETRY: return "ARITH_TRANS_SINE_SYMMETRY"; case PfRule::ARITH_TRANS_SINE_TANGENT_ZERO: return "ARITH_TRANS_SINE_TANGENT_ZERO"; case PfRule::ARITH_TRANS_SINE_TANGENT_PI: return "ARITH_TRANS_SINE_TANGENT_PI"; case PfRule::ARITH_TRANS_SINE_APPROX_ABOVE_NEG: return "ARITH_TRANS_SINE_APPROX_ABOVE_NEG"; case PfRule::ARITH_TRANS_SINE_APPROX_ABOVE_POS: return "ARITH_TRANS_SINE_APPROX_ABOVE_POS"; case PfRule::ARITH_TRANS_SINE_APPROX_BELOW_NEG: return "ARITH_TRANS_SINE_APPROX_BELOW_NEG"; case PfRule::ARITH_TRANS_SINE_APPROX_BELOW_POS: return "ARITH_TRANS_SINE_APPROX_BELOW_POS"; case PfRule::ARITH_NL_CAD_DIRECT: return "ARITH_NL_CAD_DIRECT"; case PfRule::ARITH_NL_CAD_RECURSIVE: return "ARITH_NL_CAD_RECURSIVE"; //================================================= Unknown rule case PfRule::UNKNOWN: return "UNKNOWN"; default: return "?"; } } std::ostream& operator<<(std::ostream& out, PfRule id) { out << toString(id); return out; } size_t PfRuleHashFunction::operator()(PfRule id) const { return static_cast(id); } } // namespace cvc5