% Time passed: 15509ms
% Effective reasoning time: 13428ms
% 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 (7): thm_2Ereal__topology_2ECLOSURE__COMPLEMENT, thm_2Ereal__topology_2EINTERIOR__CLOSURE__IDEMP, thm_2Ebool_2EIN__DEF, thm_2Ereal__topology_2EINTERIOR__COMPLEMENT, thm_2Epred__set_2EIN__DIFF, thm_2Epred__set_2EIN__UNIV, thm_2Epred__set_2EEXTENSION
% No. of inferences in proof: 18
% No. of processed clauses: 111
% No. of generated clauses: 2541
% No. of forward subsumed clauses: 18
% No. of backward subsumed clauses: 0
% No. of ground rewrite rules in store: 2
% No. of non-ground rewrite rules in store: 2
% No. of positive (non-rewrite) units in store: 10
% No. of negative (non-rewrite) units in store: 61
% No. of choice functions detected: 0
% No. of choice instantiations: 0
% SZS status Theorem for /export/starexec/sandbox/benchmark/Problems/HL410793^3.p : 15509 ms resp. 13428 ms w/o parsing
% SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/Problems/HL410793^3.p
thf(tyop_2Emin_2Ebool_type, type, tyop_2Emin_2Ebool: $tType).
thf(tyop_2Erealax_2Ereal_type, type, tyop_2Erealax_2Ereal: $tType).
thf(c_2Epred__set_2EDIFF_type, type, c_2Epred__set_2EDIFF: !>[TA: $tType]: ((TA > $o) > ((TA > $o) > (TA > $o)))).
thf(c_2Ebool_2EIN_type, type, c_2Ebool_2EIN: !>[TA: $tType]: (TA > ((TA > $o) > $o))).
thf(c_2Epred__set_2EUNIV_type, type, c_2Epred__set_2EUNIV: !>[TA: $tType]: (TA > $o)).
thf(c_2Ereal__topology_2Eclosure_type, type, c_2Ereal__topology_2Eclosure: ((tyop_2Erealax_2Ereal > $o) > (tyop_2Erealax_2Ereal > $o))).
thf(c_2Ereal__topology_2Einterior_type, type, c_2Ereal__topology_2Einterior: ((tyop_2Erealax_2Ereal > $o) > (tyop_2Erealax_2Ereal > $o))).
thf(1,conjecture,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ A)))) = (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ A))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Ereal__topology_2ECLOSURE__INTERIOR__IDEMP)).
thf(2,negated_conjecture,((~ (! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ A)))) = (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ A)))))),inference(neg_conjecture,[status(cth)],[1])).
thf(10,plain,((~ (! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ A)))) = (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
thf(7,axiom,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Eclosure @ (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ A)) = (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ (c_2Ereal__topology_2Einterior @ A))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Ereal__topology_2ECLOSURE__COMPLEMENT)).
thf(24,plain,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Eclosure @ (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ A)) = (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ (c_2Ereal__topology_2Einterior @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
thf(9,axiom,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ A)))) = (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ A))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Ereal__topology_2EINTERIOR__CLOSURE__IDEMP)).
thf(38,plain,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ A)))) = (c_2Ereal__topology_2Einterior @ (c_2Ereal__topology_2Eclosure @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
thf(6,axiom,((! [TA: $tType]: (! [A:(TA > $o),B:(TA > $o),C:TA]: ((c_2Ebool_2EIN @ TA @ C @ (c_2Epred__set_2EDIFF @ TA @ A @ B)) = ((c_2Ebool_2EIN @ TA @ C @ A) & ~ (c_2Ebool_2EIN @ TA @ C @ B)))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Epred__set_2EIN__DIFF)).
thf(21,plain,((! [TA: $tType]: (! [A:(TA > $o),B:(TA > $o),C:TA]: ((c_2Ebool_2EIN @ TA @ C @ (c_2Epred__set_2EDIFF @ TA @ A @ B)) = ((c_2Ebool_2EIN @ TA @ C @ (A)) & ~ (c_2Ebool_2EIN @ TA @ C @ (B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
thf(3,axiom,((! [TA: $tType]: ((c_2Ebool_2EIN @ TA) = (^ [A:TA,B:(TA > $o)]: (B @ A))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Ebool_2EIN__DEF)).
thf(13,plain,((! [TA: $tType]: ((c_2Ebool_2EIN @ TA) = (^ [A:TA,B:(TA > $o)]: (B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
thf(4,axiom,((! [TA: $tType]: (! [A:(TA > $o),B:(TA > $o)]: ((A = B) = (! [C:TA]: ((c_2Ebool_2EIN @ TA @ C @ A) = (c_2Ebool_2EIN @ TA @ C @ B))))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Epred__set_2EEXTENSION)).
thf(16,plain,((! [TA: $tType]: (! [A:(TA > $o),B:(TA > $o)]: (((A) = (B)) = (! [C:TA]: ((c_2Ebool_2EIN @ TA @ C @ (A)) = (c_2Ebool_2EIN @ TA @ C @ (B)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
thf(8,axiom,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Einterior @ (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ A)) = (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ (c_2Ereal__topology_2Eclosure @ A))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Ereal__topology_2EINTERIOR__COMPLEMENT)).
thf(31,plain,((! [A:(tyop_2Erealax_2Ereal > $o)]: ((c_2Ereal__topology_2Einterior @ (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ A)) = (c_2Epred__set_2EDIFF @ tyop_2Erealax_2Ereal @ (c_2Epred__set_2EUNIV @ tyop_2Erealax_2Ereal) @ (c_2Ereal__topology_2Eclosure @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
thf(5,axiom,((! [TA: $tType]: (! [A:TA]: (c_2Ebool_2EIN @ TA @ A @ (c_2Epred__set_2EUNIV @ TA))))),file('/export/starexec/sandbox/benchmark/Problems/HL410793^3.p',thm_2Epred__set_2EIN__UNIV)).
thf(19,plain,((! [TA: $tType]: (! [A:TA]: (c_2Ebool_2EIN @ TA @ A @ (c_2Epred__set_2EUNIV @ TA))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
thf(6439,plain,($false),inference(cvc4,[status(thm)],[10,24,38,21,13,16,31,19])).
% SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/Problems/HL410793^3.p

117.560000000027/16.010000000002	EOF