% Time passed: 1934ms
% Effective reasoning time: 911ms
% 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): logicdef_2E_3D, thm_2Ebool_2EREFL__CLAUSE, thm_2Efrac_2Efrac__sub__def, logicdef_2E_5C_2F, quantdef_2E_21, thm_2Ebool_2ETRUTH, logicdef_2E_3D_3D_3E, thm_2Ebool_2EFORALL__SIMP, thm_2Erat_2ERAT__ADD__CONG, logicdef_2E_2F_5C, logicdef_2E_7E, 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/HL407781^3.p : 1934 ms resp. 911 ms w/o parsing
% SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/Problems/HL407781^3.p
thf(tyop_2Efrac_2Efrac_type, type, tyop_2Efrac_2Efrac: $tType).
thf(tyop_2Emin_2Ebool_type, type, tyop_2Emin_2Ebool: $tType).
thf(tyop_2Erat_2Erat_type, type, tyop_2Erat_2Erat: $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_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_2Ebool_2ET_type, type, c_2Ebool_2ET: $o).
thf(c_2Ebool_2E_5C_2F_type, type, c_2Ebool_2E_5C_2F: ($o > ($o > $o))).
thf(c_2Erat_2Eabs__rat_type, type, c_2Erat_2Eabs__rat: (tyop_2Efrac_2Efrac > tyop_2Erat_2Erat)).
thf(c_2Efrac_2Efrac__add_type, type, c_2Efrac_2Efrac__add: (tyop_2Efrac_2Efrac > (tyop_2Efrac_2Efrac > tyop_2Efrac_2Efrac))).
thf(c_2Efrac_2Efrac__ainv_type, type, c_2Efrac_2Efrac__ainv: (tyop_2Efrac_2Efrac > tyop_2Efrac_2Efrac)).
thf(c_2Efrac_2Efrac__sub_type, type, c_2Efrac_2Efrac__sub: (tyop_2Efrac_2Efrac > (tyop_2Efrac_2Efrac > tyop_2Efrac_2Efrac))).
thf(c_2Erat_2Erep__rat_type, type, c_2Erat_2Erep__rat: (tyop_2Erat_2Erat > tyop_2Efrac_2Efrac)).
thf(c_2Ebool_2E_7E_type, type, c_2Ebool_2E_7E: ($o > $o)).
thf(14,axiom,((! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ A)) @ B)) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ A @ B))) & ! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ A @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ B)))) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ A @ B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',thm_2Erat_2ERAT__ADD__CONG)).
thf(69,plain,((! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ A)) @ B)) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ A @ B))) & ! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ A @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ B)))) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__add @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
thf(7,axiom,((! [TA: $tType]: (! [A:TA,B:TA]: ((c_2Emin_2E_3D @ TA @ A @ B) = (A = B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',logicdef_2E_3D)).
thf(52,plain,((! [TA: $tType]: (! [A:TA,B:TA]: ((c_2Emin_2E_3D @ TA @ A @ B) = (A = B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
thf(10,axiom,(c_2Ebool_2ET),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',thm_2Ebool_2ETRUTH)).
thf(61,plain,(c_2Ebool_2ET),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
thf(6,axiom,((! [A:$o,B:$o]: ((c_2Emin_2E_3D_3D_3E @ A @ B) = ((A) => (B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',logicdef_2E_3D_3D_3E)).
thf(41,plain,((! [A:$o,B:$o]: ((c_2Emin_2E_3D_3D_3E @ A @ B) = ((A) => (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
thf(12,axiom,((! [TA: $tType]: (! [A:TA]: ((A = A) = c_2Ebool_2ET)))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',thm_2Ebool_2EREFL__CLAUSE)).
thf(64,plain,((! [TA: $tType]: (c_2Ebool_2ET))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
thf(4,axiom,((! [A:$o,B:$o]: ((c_2Ebool_2E_5C_2F @ A @ B) = ((A) | (B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',logicdef_2E_5C_2F)).
thf(27,plain,((! [A:$o,B:$o]: ((c_2Ebool_2E_5C_2F @ A @ B) = ((A) | (B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
thf(13,axiom,((! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Efrac_2Efrac__sub @ A @ B) = (c_2Efrac_2Efrac__add @ A @ (c_2Efrac_2Efrac__ainv @ B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',thm_2Efrac_2Efrac__sub__def)).
thf(66,plain,((! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Efrac_2Efrac__sub @ A @ B) = (c_2Efrac_2Efrac__add @ A @ (c_2Efrac_2Efrac__ainv @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
thf(3,axiom,((! [A:$o,B:$o]: ((c_2Ebool_2E_2F_5C @ A @ B) = ((A) & (B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',logicdef_2E_2F_5C)).
thf(18,plain,((! [A:$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/HL407781^3.p',quantdef_2E_21)).
thf(55,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(9,axiom,((! [TA: $tType]: (! [A:(TA > $o)]: ((c_2Ebool_2E_3F @ TA @ A) = (? [B:TA]: (A @ B)))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',quantdef_2E_3F)).
thf(58,plain,((! [TA: $tType]: (! [A:(TA > $o)]: ((c_2Ebool_2E_3F @ TA @ (A)) = (? [B:TA]: (A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
thf(5,axiom,((! [A:$o]: ((c_2Ebool_2E_7E @ A) = (~ (A))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',logicdef_2E_7E)).
thf(36,plain,((! [A:$o]: ((c_2Ebool_2E_7E @ A) = (~ (A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
thf(1,conjecture,((! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__sub @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ A)) @ B)) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__sub @ A @ B))))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',thm_2Erat_2ERAT__SUB__CONG1)).
thf(2,negated_conjecture,((~ (! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__sub @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ A)) @ B)) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__sub @ A @ B)))))),inference(neg_conjecture,[status(cth)],[1])).
thf(15,plain,((~ (! [A:tyop_2Efrac_2Efrac,B:tyop_2Efrac_2Efrac]: ((c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__sub @ (c_2Erat_2Erep__rat @ (c_2Erat_2Eabs__rat @ A)) @ B)) = (c_2Erat_2Eabs__rat @ (c_2Efrac_2Efrac__sub @ A @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
thf(11,axiom,((! [TA: $tType]: (! [A:$o]: ((! [B:TA]: (A)) = A)))),file('/export/starexec/sandbox/benchmark/Problems/HL407781^3.p',thm_2Ebool_2EFORALL__SIMP)).
thf(62,plain,((! [TA: $tType]: ($true))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
thf(75,plain,($false),inference(cvc4,[status(thm)],[69,52,61,41,64,27,66,18,55,58,36,15,62])).
% SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/Problems/HL407781^3.p

15.1900000000023/2.17999999999665	EOF