% Time passed: 2653ms
% Effective reasoning time: 1248ms
% Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(59),restrictUniAttempts(true),termOrdering(CPO)>
% Axioms used in derivation (12): thm_2Ereal_2Ereal__of__num, logicdef_2E_3D, thm_2Ebool_2EREFL__CLAUSE, logicdef_2E_5C_2F, thm_2Earithmetic_2EONE, quantdef_2E_21, thm_2Ebool_2ETRUTH, logicdef_2E_3D_3D_3E, logicdef_2E_2F_5C, logicdef_2E_7E, thm_2Erealax_2EREAL__ADD__LID, quantdef_2E_3F
% No. of inferences in proof: 28
% No. of processed clauses: 1
% No. of generated clauses: 0
% No. of forward subsumed clauses: 0
% No. of backward subsumed clauses: 0
% No. of ground rewrite rules in store: 1
% No. of non-ground rewrite rules in store: 0
% No. of positive (non-rewrite) units in store: 0
% No. of negative (non-rewrite) units in store: 0
% No. of choice functions detected: 0
% No. of choice instantiations: 0
% SZS status Theorem for /export/starexec/sandbox/benchmark/Problems/HL407142^3.p : 2653 ms resp. 1248 ms w/o parsing
% SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/Problems/HL407142^3.p
thf(tyop_2Emin_2Ebool_type, type, tyop_2Emin_2Ebool: $tType).
thf(tyop_2Enum_2Enum_type, type, tyop_2Enum_2Enum: $tType).
thf(tyop_2Erealax_2Ereal_type, type, tyop_2Erealax_2Ereal: $tType).
thf(c_2Ebool_2E_21_type, type, c_2Ebool_2E_21: !>[TA: $tType]: ((TA > $o) > $o)).
thf(c_2Ebool_2E_2F_5C_type, type, c_2Ebool_2E_2F_5C: ($o > ($o > $o))).
thf(c_2Enum_2E0_type, type, c_2Enum_2E0: tyop_2Enum_2Enum).
thf(c_2Emin_2E_3D_type, type, c_2Emin_2E_3D: !>[TA: $tType]: (TA > (TA > $o))).
thf(c_2Emin_2E_3D_3D_3E_type, type, c_2Emin_2E_3D_3D_3E: ($o > ($o > $o))).
thf(c_2Ebool_2E_3F_type, type, c_2Ebool_2E_3F: !>[TA: $tType]: ((TA > $o) > $o)).
thf(c_2Earithmetic_2EBIT1_type, type, c_2Earithmetic_2EBIT1: (tyop_2Enum_2Enum > tyop_2Enum_2Enum)).
thf(c_2Earithmetic_2ENUMERAL_type, type, c_2Earithmetic_2ENUMERAL: (tyop_2Enum_2Enum > tyop_2Enum_2Enum)).
thf(c_2Enum_2ESUC_type, type, c_2Enum_2ESUC: (tyop_2Enum_2Enum > tyop_2Enum_2Enum)).
thf(c_2Ebool_2ET_type, type, c_2Ebool_2ET: $o).
thf(c_2Earithmetic_2EZERO_type, type, c_2Earithmetic_2EZERO: tyop_2Enum_2Enum).
thf(c_2Ebool_2E_5C_2F_type, type, c_2Ebool_2E_5C_2F: ($o > ($o > $o))).
thf(c_2Erealax_2Ereal__0_type, type, c_2Erealax_2Ereal__0: tyop_2Erealax_2Ereal).
thf(c_2Erealax_2Ereal__1_type, type, c_2Erealax_2Ereal__1: tyop_2Erealax_2Ereal).
thf(c_2Erealax_2Ereal__add_type, type, c_2Erealax_2Ereal__add: (tyop_2Erealax_2Ereal > (tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal))).
thf(c_2Ereal_2Ereal__of__num_type, type, c_2Ereal_2Ereal__of__num: (tyop_2Enum_2Enum > tyop_2Erealax_2Ereal)).
thf(c_2Ebool_2E_7E_type, type, c_2Ebool_2E_7E: ($o > $o)).
thf(9,axiom,((! [TA: $tType]: (! [A:(TA > $o)]: ((c_2Ebool_2E_3F @ TA @ A) = (? [B:TA]: (A @ B)))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',quantdef_2E_3F)).
thf(57,plain,((! [TA: $tType]: (! [A:(TA > $o)]: ((c_2Ebool_2E_3F @ TA @ (A)) = (? [B:TA]: (A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
thf(10,axiom,(((c_2Earithmetic_2ENUMERAL @ (c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)) = (c_2Enum_2ESUC @ c_2Enum_2E0))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',thm_2Earithmetic_2EONE)).
thf(60,plain,(((c_2Earithmetic_2ENUMERAL @ (c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)) = (c_2Enum_2ESUC @ c_2Enum_2E0))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
thf(14,axiom,((! [A:tyop_2Erealax_2Ereal]: ((c_2Erealax_2Ereal__add @ c_2Erealax_2Ereal__0 @ A) = A))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',thm_2Erealax_2EREAL__ADD__LID)).
thf(70,plain,((! [A:tyop_2Erealax_2Ereal]: ((c_2Erealax_2Ereal__add @ c_2Erealax_2Ereal__0 @ A) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
thf(13,axiom,((((c_2Ereal_2Ereal__of__num @ c_2Enum_2E0) = c_2Erealax_2Ereal__0) & ! [A:tyop_2Enum_2Enum]: ((c_2Ereal_2Ereal__of__num @ (c_2Enum_2ESUC @ A)) = (c_2Erealax_2Ereal__add @ (c_2Ereal_2Ereal__of__num @ A) @ c_2Erealax_2Ereal__1)))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',thm_2Ereal_2Ereal__of__num)).
thf(65,plain,((((c_2Ereal_2Ereal__of__num @ c_2Enum_2E0) = c_2Erealax_2Ereal__0) & ! [A:tyop_2Enum_2Enum]: ((c_2Ereal_2Ereal__of__num @ (c_2Enum_2ESUC @ A)) = (c_2Erealax_2Ereal__add @ (c_2Ereal_2Ereal__of__num @ A) @ c_2Erealax_2Ereal__1)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
thf(3,axiom,((! [A:$o,B:$o]: ((c_2Ebool_2E_2F_5C @ A @ B) = ((A) & (B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',logicdef_2E_2F_5C)).
thf(17,plain,((! [A:$o,B:$o]: ((c_2Ebool_2E_2F_5C @ A @ B) = ((A) & (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
thf(8,axiom,((! [TA: $tType]: (! [A:(TA > $o)]: ((c_2Ebool_2E_21 @ TA @ A) = (! [B:TA]: (A @ B)))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',quantdef_2E_21)).
thf(54,plain,((! [TA: $tType]: (! [A:(TA > $o)]: ((c_2Ebool_2E_21 @ TA @ (A)) = (! [B:TA]: (A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
thf(5,axiom,((! [A:$o]: ((c_2Ebool_2E_7E @ A) = (~ (A))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',logicdef_2E_7E)).
thf(35,plain,((! [A:$o]: ((c_2Ebool_2E_7E @ A) = (~ (A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
thf(12,axiom,((! [TA: $tType]: (! [A:TA]: ((A = A) = c_2Ebool_2ET)))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',thm_2Ebool_2EREFL__CLAUSE)).
thf(63,plain,((! [TA: $tType]: (c_2Ebool_2ET))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
thf(6,axiom,((! [A:$o,B:$o]: ((c_2Emin_2E_3D_3D_3E @ A @ B) = ((A) => (B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',logicdef_2E_3D_3D_3E)).
thf(40,plain,((! [A:$o,B:$o]: ((c_2Emin_2E_3D_3D_3E @ A @ B) = ((A) => (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
thf(4,axiom,((! [A:$o,B:$o]: ((c_2Ebool_2E_5C_2F @ A @ B) = ((A) | (B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',logicdef_2E_5C_2F)).
thf(26,plain,((! [A:$o,B:$o]: ((c_2Ebool_2E_5C_2F @ A @ B) = ((A) | (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
thf(7,axiom,((! [TA: $tType]: (! [A:TA,B:TA]: ((c_2Emin_2E_3D @ TA @ A @ B) = (A = B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',logicdef_2E_3D)).
thf(51,plain,((! [TA: $tType]: (! [A:TA,B:TA]: ((c_2Emin_2E_3D @ TA @ A @ B) = (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
thf(1,conjecture,((c_2Erealax_2Ereal__1 = (c_2Ereal_2Ereal__of__num @ (c_2Earithmetic_2ENUMERAL @ (c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO))))),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',thm_2Ereal_2EREAL__1)).
thf(2,negated_conjecture,((~ (c_2Erealax_2Ereal__1 = (c_2Ereal_2Ereal__of__num @ (c_2Earithmetic_2ENUMERAL @ (c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)))))),inference(neg_conjecture,[status(cth)],[1])).
thf(15,plain,((~ (c_2Erealax_2Ereal__1 = (c_2Ereal_2Ereal__of__num @ (c_2Earithmetic_2ENUMERAL @ (c_2Earithmetic_2EBIT1 @ c_2Earithmetic_2EZERO)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
thf(11,axiom,(c_2Ebool_2ET),file('/export/starexec/sandbox/benchmark/Problems/HL407142^3.p',thm_2Ebool_2ETRUTH)).
thf(62,plain,(c_2Ebool_2ET),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
thf(73,plain,($false),inference(cvc4,[status(thm)],[57,60,70,65,17,54,35,63,40,26,51,15,62])).
% SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/Problems/HL407142^3.p

18.2000000000116/2.97999999999956	EOF