TSTP Solution File: CSR041-10 by Toma---0.4
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%------------------------------------------------------------------------------
% File : Toma---0.4
% Problem : CSR041-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : toma --casc %s
% Computer : n026.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 : Wed Aug 30 21:39:00 EDT 2023
% Result : Unsatisfiable 9.12s 9.33s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : CSR041-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15 % Command : toma --casc %s
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 11:52:05 EDT 2023
% 0.16/0.37 % CPUTime :
% 9.12/9.33 % SZS status Unsatisfiable
% 9.12/9.33 % SZS output start Proof
% 9.12/9.33 original problem:
% 9.12/9.33 axioms:
% 9.12/9.33 ifeq3(A, A, B, C) = B
% 9.12/9.33 ifeq2(A, A, B, C) = B
% 9.12/9.33 ifeq(A, A, B, C) = B
% 9.12/9.33 genls(c_aspatialinformationstore(), c_aspatialthing()) = true()
% 9.12/9.33 ifeq3(aspatialinformationstore(OBJ), true(), aspatialthing(OBJ), true()) = true()
% 9.12/9.33 genls(c_microtheory(), c_aspatialinformationstore()) = true()
% 9.12/9.33 ifeq3(microtheory(OBJ), true(), aspatialinformationstore(OBJ), true()) = true()
% 9.12/9.33 genlmt(c_calendarsmt(), c_calendarsvocabularymt()) = true()
% 9.12/9.33 transitivebinarypredicate(c_genlmt()) = true()
% 9.12/9.33 microtheory(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())) = true()
% 9.12/9.33 genlmt(c_basekb(), c_universalvocabularymt()) = true()
% 9.12/9.33 genlmt(c_cyclistsmt(), c_calendarsmt()) = true()
% 9.12/9.33 genlmt(c_calendarsvocabularymt(), c_basekb()) = true()
% 9.12/9.33 genlmt(c_tptp_spindleheadmt(), c_cyclistsmt()) = true()
% 9.12/9.33 genlmt(c_tptp_member2831_mt(), c_tptp_spindleheadmt()) = true()
% 9.12/9.33 ifeq3(genlinverse(PRED, GENLPRED), true(), ifeq3(genlinverse(SPECPRED, PRED), true(), genlpreds(SPECPRED, GENLPRED), true()), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(ARG1, INS), true(), predicate(INS), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(ARG1, INS), true(), predicate(INS), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(INS, ARG2), true(), predicate(INS), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(INS, ARG2), true(), predicate(INS), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(Y, Z), true(), ifeq3(genlpreds(X, Y), true(), genlpreds(X, Z), true()), true()) = true()
% 9.12/9.33 ifeq3(predicate(X), true(), genlpreds(X, X), true()) = true()
% 9.12/9.33 ifeq3(predicate(X), true(), genlpreds(X, X), true()) = true()
% 9.12/9.33 ifeq3(genlinverse(ARG1, INS), true(), binarypredicate(INS), true()) = true()
% 9.12/9.33 ifeq3(genlinverse(INS, ARG2), true(), binarypredicate(INS), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(NEW, OLD), true(), ifeq3(genlinverse(OLD, ARG2), true(), genlinverse(NEW, ARG2), true()), true()) = true()
% 9.12/9.33 ifeq3(genlpreds(OLD, NEW), true(), ifeq3(genlinverse(ARG1, OLD), true(), genlinverse(ARG1, NEW), true()), true()) = true()
% 9.12/9.33 ifeq3(disjointwith(ARG1, INS), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(disjointwith(INS, ARG2), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(disjointwith(X, Y), true(), disjointwith(Y, X), true()) = true()
% 9.12/9.33 ifeq3(genls(NEW, OLD), true(), ifeq3(disjointwith(ARG1, OLD), true(), disjointwith(ARG1, NEW), true()), true()) = true()
% 9.12/9.33 ifeq3(genls(NEW, OLD), true(), ifeq3(disjointwith(OLD, ARG2), true(), disjointwith(NEW, ARG2), true()), true()) = true()
% 9.12/9.33 mtvisible(c_basekb()) = true()
% 9.12/9.33 natfunction(f_urlfn(ARG1), c_urlfn()) = true()
% 9.12/9.33 natargument(f_urlfn(ARG1), n_1(), ARG1) = true()
% 9.12/9.33 uniformresourcelocator(f_urlfn(ARG1)) = true()
% 9.12/9.33 natfunction(f_urlreferentfn(ARG1), c_urlreferentfn()) = true()
% 9.12/9.33 natargument(f_urlreferentfn(ARG1), n_1(), ARG1) = true()
% 9.12/9.33 computerdataartifact(f_urlreferentfn(ARG1)) = true()
% 9.12/9.33 natfunction(f_contentmtofcdafromeventfn(ARG1, ARG2), c_contentmtofcdafromeventfn()) = true()
% 9.12/9.33 natargument(f_contentmtofcdafromeventfn(ARG1, ARG2), n_1(), ARG1) = true()
% 9.12/9.33 natargument(f_contentmtofcdafromeventfn(ARG1, ARG2), n_2(), ARG2) = true()
% 9.12/9.33 microtheory(f_contentmtofcdafromeventfn(ARG1, ARG2)) = true()
% 9.12/9.33 ifeq3(isa(X, c_transitivebinarypredicate()), true(), transitivebinarypredicate(X), true()) = true()
% 9.12/9.33 ifeq3(transitivebinarypredicate(X), true(), isa(X, c_transitivebinarypredicate()), true()) = true()
% 9.12/9.33 ifeq3(isa(ARG1, INS), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(isa(ARG1, INS), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(isa(INS, ARG2), true(), thing(INS), true()) = true()
% 9.12/9.33 ifeq3(isa(INS, ARG2), true(), thing(INS), true()) = true()
% 9.12/9.33 ifeq3(genls(OLD, NEW), true(), ifeq3(isa(ARG1, OLD), true(), isa(ARG1, NEW), true()), true()) = true()
% 9.12/9.33 ifeq3(mtvisible(SPECMT), true(), ifeq3(genlmt(SPECMT, GENLMT), true(), mtvisible(GENLMT), true()), true()) = true()
% 9.12/9.33 ifeq3(genlmt(ARG1, INS), true(), microtheory(INS), true()) = true()
% 9.12/9.33 ifeq3(genlmt(ARG1, INS), true(), microtheory(INS), true()) = true()
% 9.12/9.33 ifeq3(genlmt(INS, ARG2), true(), microtheory(INS), true()) = true()
% 9.12/9.33 ifeq3(genlmt(INS, ARG2), true(), microtheory(INS), true()) = true()
% 9.12/9.33 ifeq3(genlmt(Y, Z), true(), ifeq3(genlmt(X, Y), true(), genlmt(X, Z), true()), true()) = true()
% 9.12/9.33 ifeq3(microtheory(X), true(), genlmt(X, X), true()) = true()
% 9.12/9.33 ifeq3(microtheory(X), true(), genlmt(X, X), true()) = true()
% 9.12/9.33 ifeq3(isa(X, c_microtheory()), true(), microtheory(X), true()) = true()
% 9.12/9.33 ifeq3(microtheory(X), true(), isa(X, c_microtheory()), true()) = true()
% 9.12/9.33 ifeq3(isa(X, c_aspatialthing()), true(), aspatialthing(X), true()) = true()
% 9.12/9.33 ifeq3(aspatialthing(X), true(), isa(X, c_aspatialthing()), true()) = true()
% 9.12/9.33 ifeq3(isa(X, c_aspatialinformationstore()), true(), aspatialinformationstore(X), true()) = true()
% 9.12/9.33 ifeq3(aspatialinformationstore(X), true(), isa(X, c_aspatialinformationstore()), true()) = true()
% 9.12/9.33 ifeq3(genls(ARG1, INS), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(genls(ARG1, INS), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(genls(INS, ARG2), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(genls(INS, ARG2), true(), collection(INS), true()) = true()
% 9.12/9.33 ifeq3(genls(Y, Z), true(), ifeq3(genls(X, Y), true(), genls(X, Z), true()), true()) = true()
% 9.12/9.33 ifeq3(collection(X), true(), genls(X, X), true()) = true()
% 9.12/9.33 ifeq3(collection(X), true(), genls(X, X), true()) = true()
% 9.12/9.33 ifeq3(genls(NEW, OLD), true(), ifeq3(genls(OLD, ARG2), true(), genls(NEW, ARG2), true()), true()) = true()
% 9.12/9.33 ifeq3(genls(OLD, NEW), true(), ifeq3(genls(ARG1, OLD), true(), genls(ARG1, NEW), true()), true()) = true()
% 9.12/9.33 mtvisible(c_universalvocabularymt()) = true()
% 9.12/9.33 mtvisible(c_tptp_member2831_mt()) = true()
% 9.12/9.33 ifeq(tuple(isa(OBJ, COL1), isa(OBJ, COL2), disjointwith(COL1, COL2)), tuple(true(), true(), true()), a(), b()) = b()
% 9.12/9.33 ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), true(), a(), b()) = b()
% 9.12/9.33 goal:
% 9.12/9.33 a() != b()
% 9.12/9.33 To show the unsatisfiability of the original goal,
% 9.12/9.33 it suffices to show that a() = b() (skolemized goal) is valid under the axioms.
% 9.12/9.33 Here is an equational proof:
% 9.12/9.33 0: ifeq3(X0, X0, X1, X2) = X1.
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 1: ifeq2(X0, X0, X1, X2) = X1.
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 3: genls(c_aspatialinformationstore(), c_aspatialthing()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 4: ifeq3(aspatialinformationstore(X3), true(), aspatialthing(X3), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 5: genls(c_microtheory(), c_aspatialinformationstore()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 6: ifeq3(microtheory(X3), true(), aspatialinformationstore(X3), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 7: genlmt(c_calendarsmt(), c_calendarsvocabularymt()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 8: transitivebinarypredicate(c_genlmt()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 11: genlmt(c_cyclistsmt(), c_calendarsmt()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 14: genlmt(c_tptp_member2831_mt(), c_tptp_spindleheadmt()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 42: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 44: ifeq3(transitivebinarypredicate(X12), true(), isa(X12, c_transitivebinarypredicate()), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 45: ifeq3(isa(X7, X8), true(), collection(X8), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 47: ifeq3(isa(X8, X9), true(), thing(X8), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 51: ifeq3(genlmt(X7, X8), true(), microtheory(X8), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 53: ifeq3(genlmt(X8, X9), true(), microtheory(X8), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 56: ifeq3(microtheory(X12), true(), genlmt(X12, X12), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 61: ifeq3(aspatialthing(X12), true(), isa(X12, c_aspatialthing()), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 66: ifeq3(genls(X8, X9), true(), collection(X8), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 69: ifeq3(collection(X12), true(), genls(X12, X12), true()) = true().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 76: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), true(), a(), b()) = b().
% 9.12/9.33 Proof: Axiom.
% 9.12/9.33
% 9.12/9.33 77: ifeq3(aspatialinformationstore(X3), genls(c_aspatialinformationstore(), c_aspatialthing()), aspatialthing(X3), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 4,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 78: genls(c_microtheory(), c_aspatialinformationstore()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 5,
% 9.12/9.33 lhs with equations []
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 79: ifeq3(microtheory(X3), genls(c_aspatialinformationstore(), c_aspatialthing()), aspatialinformationstore(X3), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 6,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 80: genlmt(c_calendarsmt(), c_calendarsvocabularymt()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 7,
% 9.12/9.33 lhs with equations []
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 81: transitivebinarypredicate(c_genlmt()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 8,
% 9.12/9.33 lhs with equations []
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 83: genlmt(c_cyclistsmt(), c_calendarsmt()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 11,
% 9.12/9.33 lhs with equations []
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 86: genlmt(c_tptp_member2831_mt(), c_tptp_spindleheadmt()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 14,
% 9.12/9.33 lhs with equations []
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 111: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 42,
% 9.12/9.33 lhs with equations []
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 113: ifeq3(transitivebinarypredicate(X12), genls(c_aspatialinformationstore(), c_aspatialthing()), isa(X12, c_transitivebinarypredicate()), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 44,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 114: ifeq3(isa(X7, X8), genls(c_aspatialinformationstore(), c_aspatialthing()), collection(X8), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 45,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 115: ifeq3(isa(X8, X9), genls(c_aspatialinformationstore(), c_aspatialthing()), thing(X8), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 47,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 118: ifeq3(genlmt(X7, X8), genls(c_aspatialinformationstore(), c_aspatialthing()), microtheory(X8), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 51,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 119: ifeq3(genlmt(X8, X9), genls(c_aspatialinformationstore(), c_aspatialthing()), microtheory(X8), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 53,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 121: ifeq3(microtheory(X12), genls(c_aspatialinformationstore(), c_aspatialthing()), genlmt(X12, X12), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 56,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 125: ifeq3(aspatialthing(X12), genls(c_aspatialinformationstore(), c_aspatialthing()), isa(X12, c_aspatialthing()), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.33 Proof: Rewrite equation 61,
% 9.12/9.33 lhs with equations [3,3]
% 9.12/9.33 rhs with equations [3].
% 9.12/9.33
% 9.12/9.33 129: ifeq3(genls(X8, X9), genls(c_aspatialinformationstore(), c_aspatialthing()), collection(X8), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 66,
% 9.12/9.34 lhs with equations [3,3]
% 9.12/9.34 rhs with equations [3].
% 9.12/9.34
% 9.12/9.34 131: ifeq3(collection(X12), genls(c_aspatialinformationstore(), c_aspatialthing()), genls(X12, X12), genls(c_aspatialinformationstore(), c_aspatialthing())) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 69,
% 9.12/9.34 lhs with equations [3,3]
% 9.12/9.34 rhs with equations [3].
% 9.12/9.34
% 9.12/9.34 136: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), genls(c_aspatialinformationstore(), c_aspatialthing()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 76,
% 9.12/9.34 lhs with equations [3]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 138: collection(c_aspatialinformationstore()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.34 Proof: A critical pair between equations 0 and 129.
% 9.12/9.34
% 9.12/9.34 139: genls(c_aspatialinformationstore(), c_aspatialthing()) = ifeq3(genls(c_aspatialinformationstore(), c_aspatialthing()), genls(c_aspatialinformationstore(), c_aspatialthing()), microtheory(c_calendarsvocabularymt()), genls(c_aspatialinformationstore(), c_aspatialthing())).
% 9.12/9.34 Proof: A critical pair between equations 118 and 80.
% 9.12/9.34
% 9.12/9.34 141: genls(c_aspatialinformationstore(), c_aspatialthing()) = ifeq3(genls(c_aspatialinformationstore(), c_aspatialthing()), genls(c_aspatialinformationstore(), c_aspatialthing()), microtheory(c_calendarsmt()), genls(c_aspatialinformationstore(), c_aspatialthing())).
% 9.12/9.34 Proof: A critical pair between equations 118 and 83.
% 9.12/9.34
% 9.12/9.34 144: genls(c_aspatialinformationstore(), c_aspatialthing()) = ifeq3(genls(c_aspatialinformationstore(), c_aspatialthing()), genls(c_aspatialinformationstore(), c_aspatialthing()), microtheory(c_tptp_spindleheadmt()), genls(c_aspatialinformationstore(), c_aspatialthing())).
% 9.12/9.34 Proof: A critical pair between equations 118 and 86.
% 9.12/9.34
% 9.12/9.34 145: genls(c_aspatialinformationstore(), c_aspatialthing()) = ifeq3(genls(c_aspatialinformationstore(), c_aspatialthing()), genls(c_aspatialinformationstore(), c_aspatialthing()), microtheory(c_tptp_member2831_mt()), genls(c_aspatialinformationstore(), c_aspatialthing())).
% 9.12/9.34 Proof: A critical pair between equations 119 and 86.
% 9.12/9.34
% 9.12/9.34 146: genls(c_aspatialinformationstore(), c_aspatialthing()) = ifeq3(genls(c_aspatialinformationstore(), c_aspatialthing()), genls(c_aspatialinformationstore(), c_aspatialthing()), collection(c_microtheory()), genls(c_aspatialinformationstore(), c_aspatialthing())).
% 9.12/9.34 Proof: A critical pair between equations 129 and 78.
% 9.12/9.34
% 9.12/9.34 151: collection(c_aspatialinformationstore()) = collection(c_microtheory()).
% 9.12/9.34 Proof: Rewrite equation 146,
% 9.12/9.34 lhs with equations [138]
% 9.12/9.34 rhs with equations [138,138,138,0].
% 9.12/9.34
% 9.12/9.34 152: collection(c_aspatialinformationstore()) = microtheory(c_tptp_member2831_mt()).
% 9.12/9.34 Proof: Rewrite equation 145,
% 9.12/9.34 lhs with equations [138]
% 9.12/9.34 rhs with equations [138,138,138,0].
% 9.12/9.34
% 9.12/9.34 153: microtheory(c_tptp_member2831_mt()) = microtheory(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 144,
% 9.12/9.34 lhs with equations [138,152]
% 9.12/9.34 rhs with equations [138,152,138,152,138,152,0].
% 9.12/9.34
% 9.12/9.34 156: microtheory(c_tptp_member2831_mt()) = microtheory(c_calendarsmt()).
% 9.12/9.34 Proof: Rewrite equation 141,
% 9.12/9.34 lhs with equations [138,152]
% 9.12/9.34 rhs with equations [138,152,138,152,138,152,0].
% 9.12/9.34
% 9.12/9.34 158: microtheory(c_calendarsmt()) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 139,
% 9.12/9.34 lhs with equations [138,152,156]
% 9.12/9.34 rhs with equations [138,152,156,138,152,156,138,152,156,0].
% 9.12/9.34
% 9.12/9.34 159: microtheory(c_calendarsvocabularymt()) = genls(c_aspatialinformationstore(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 138,
% 9.12/9.34 lhs with equations [152,156,158]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 161: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), microtheory(c_calendarsvocabularymt()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 136,
% 9.12/9.34 lhs with equations [159]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 166: ifeq3(collection(X12), microtheory(c_calendarsvocabularymt()), genls(X12, X12), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 131,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 172: ifeq3(aspatialthing(X12), microtheory(c_calendarsvocabularymt()), isa(X12, c_aspatialthing()), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 125,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 176: ifeq3(microtheory(X12), microtheory(c_calendarsvocabularymt()), genlmt(X12, X12), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 121,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 182: ifeq3(isa(X8, X9), microtheory(c_calendarsvocabularymt()), thing(X8), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 115,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 183: ifeq3(isa(X7, X8), microtheory(c_calendarsvocabularymt()), collection(X8), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 114,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 184: ifeq3(transitivebinarypredicate(X12), microtheory(c_calendarsvocabularymt()), isa(X12, c_transitivebinarypredicate()), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 113,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 186: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 111,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 216: transitivebinarypredicate(c_genlmt()) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 81,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 218: ifeq3(microtheory(X3), microtheory(c_calendarsvocabularymt()), aspatialinformationstore(X3), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 79,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 220: ifeq3(aspatialinformationstore(X3), microtheory(c_calendarsvocabularymt()), aspatialthing(X3), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 77,
% 9.12/9.34 lhs with equations [159,159]
% 9.12/9.34 rhs with equations [159].
% 9.12/9.34
% 9.12/9.34 222: microtheory(c_calendarsvocabularymt()) = aspatialinformationstore(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: A critical pair between equations 218 and 0.
% 9.12/9.34
% 9.12/9.34 224: microtheory(c_calendarsvocabularymt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: A critical pair between equations 176 and 0.
% 9.12/9.34
% 9.12/9.34 225: microtheory(c_calendarsvocabularymt()) = ifeq3(microtheory(c_tptp_member2831_mt()), microtheory(c_calendarsvocabularymt()), aspatialinformationstore(c_tptp_spindleheadmt()), microtheory(c_calendarsvocabularymt())).
% 9.12/9.34 Proof: A critical pair between equations 218 and 153.
% 9.12/9.34
% 9.12/9.34 232: microtheory(c_calendarsvocabularymt()) = ifeq3(microtheory(c_tptp_member2831_mt()), microtheory(c_calendarsvocabularymt()), genls(c_aspatialinformationstore(), c_aspatialinformationstore()), microtheory(c_calendarsvocabularymt())).
% 9.12/9.34 Proof: A critical pair between equations 166 and 152.
% 9.12/9.34
% 9.12/9.34 235: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 232,
% 9.12/9.34 lhs with equations [224]
% 9.12/9.34 rhs with equations [156,158,224,224,224,0].
% 9.12/9.34
% 9.12/9.34 242: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = aspatialinformationstore(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 225,
% 9.12/9.34 lhs with equations [224]
% 9.12/9.34 rhs with equations [156,158,224,224,224,0].
% 9.12/9.34
% 9.12/9.34 244: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = aspatialinformationstore(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 222,
% 9.12/9.34 lhs with equations [224]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 246: ifeq3(aspatialinformationstore(X3), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), aspatialthing(X3), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 220,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 248: ifeq3(microtheory(X3), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), aspatialinformationstore(X3), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 218,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 250: transitivebinarypredicate(c_genlmt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 216,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 280: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 186,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 282: ifeq3(transitivebinarypredicate(X12), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), isa(X12, c_transitivebinarypredicate()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 184,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 283: ifeq3(isa(X7, X8), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), collection(X8), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 183,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 284: ifeq3(isa(X8, X9), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), thing(X8), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 182,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 294: ifeq3(aspatialthing(X12), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), isa(X12, c_aspatialthing()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 172,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 300: ifeq3(collection(X12), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), genls(X12, X12), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 166,
% 9.12/9.34 lhs with equations [224,224]
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 305: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 161,
% 9.12/9.34 lhs with equations [224]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 308: microtheory(c_calendarsmt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 158,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [224].
% 9.12/9.34
% 9.12/9.34 310: microtheory(c_tptp_member2831_mt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 156,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [308].
% 9.12/9.34
% 9.12/9.34 314: collection(c_aspatialinformationstore()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 152,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [310].
% 9.12/9.34
% 9.12/9.34 315: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = collection(c_microtheory()).
% 9.12/9.34 Proof: Rewrite equation 151,
% 9.12/9.34 lhs with equations [314]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 324: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = ifeq3(genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), aspatialthing(c_tptp_spindleheadmt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())).
% 9.12/9.34 Proof: A critical pair between equations 246 and 242.
% 9.12/9.34
% 9.12/9.34 325: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = ifeq3(genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), aspatialthing(c_calendarsvocabularymt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())).
% 9.12/9.34 Proof: A critical pair between equations 246 and 244.
% 9.12/9.34
% 9.12/9.34 334: collection(c_microtheory()) = aspatialthing(c_calendarsvocabularymt()).
% 9.12/9.34 Proof: Rewrite equation 325,
% 9.12/9.34 lhs with equations [315]
% 9.12/9.34 rhs with equations [315,315,315,0].
% 9.12/9.34
% 9.12/9.34 335: aspatialthing(c_calendarsvocabularymt()) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 324,
% 9.12/9.34 lhs with equations [315,334]
% 9.12/9.34 rhs with equations [315,334,315,334,315,334,0].
% 9.12/9.34
% 9.12/9.34 344: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 315,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [334,335].
% 9.12/9.34
% 9.12/9.34 354: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), aspatialthing(c_tptp_spindleheadmt()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 305,
% 9.12/9.34 lhs with equations [344]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 359: ifeq3(collection(X12), aspatialthing(c_tptp_spindleheadmt()), genls(X12, X12), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 300,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 365: ifeq3(aspatialthing(X12), aspatialthing(c_tptp_spindleheadmt()), isa(X12, c_aspatialthing()), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 294,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 375: ifeq3(isa(X8, X9), aspatialthing(c_tptp_spindleheadmt()), thing(X8), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 284,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 376: ifeq3(isa(X7, X8), aspatialthing(c_tptp_spindleheadmt()), collection(X8), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 283,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 377: ifeq3(transitivebinarypredicate(X12), aspatialthing(c_tptp_spindleheadmt()), isa(X12, c_transitivebinarypredicate()), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 282,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 379: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 280,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 409: transitivebinarypredicate(c_genlmt()) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 250,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 411: ifeq3(microtheory(X3), aspatialthing(c_tptp_spindleheadmt()), aspatialinformationstore(X3), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 248,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 413: ifeq3(aspatialinformationstore(X3), aspatialthing(c_tptp_spindleheadmt()), aspatialthing(X3), aspatialthing(c_tptp_spindleheadmt())) = aspatialthing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 246,
% 9.12/9.34 lhs with equations [344,344]
% 9.12/9.34 rhs with equations [344].
% 9.12/9.34
% 9.12/9.34 425: aspatialthing(c_tptp_spindleheadmt()) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 235,
% 9.12/9.34 lhs with equations [344]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 427: aspatialthing(c_tptp_spindleheadmt()) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: A critical pair between equations 365 and 0.
% 9.12/9.34
% 9.12/9.34 447: isa(c_tptp_spindleheadmt(), c_aspatialthing()) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 425,
% 9.12/9.34 lhs with equations [427]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 459: ifeq3(aspatialinformationstore(X3), isa(c_tptp_spindleheadmt(), c_aspatialthing()), aspatialthing(X3), isa(c_tptp_spindleheadmt(), c_aspatialthing())) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 413,
% 9.12/9.34 lhs with equations [427,427]
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 461: ifeq3(microtheory(X3), isa(c_tptp_spindleheadmt(), c_aspatialthing()), aspatialinformationstore(X3), isa(c_tptp_spindleheadmt(), c_aspatialthing())) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 411,
% 9.12/9.34 lhs with equations [427,427]
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 463: transitivebinarypredicate(c_genlmt()) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 409,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 493: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 379,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 495: ifeq3(transitivebinarypredicate(X12), isa(c_tptp_spindleheadmt(), c_aspatialthing()), isa(X12, c_transitivebinarypredicate()), isa(c_tptp_spindleheadmt(), c_aspatialthing())) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 377,
% 9.12/9.34 lhs with equations [427,427]
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 496: ifeq3(isa(X7, X8), isa(c_tptp_spindleheadmt(), c_aspatialthing()), collection(X8), isa(c_tptp_spindleheadmt(), c_aspatialthing())) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 376,
% 9.12/9.34 lhs with equations [427,427]
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 497: ifeq3(isa(X8, X9), isa(c_tptp_spindleheadmt(), c_aspatialthing()), thing(X8), isa(c_tptp_spindleheadmt(), c_aspatialthing())) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 375,
% 9.12/9.34 lhs with equations [427,427]
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 513: ifeq3(collection(X12), isa(c_tptp_spindleheadmt(), c_aspatialthing()), genls(X12, X12), isa(c_tptp_spindleheadmt(), c_aspatialthing())) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: Rewrite equation 359,
% 9.12/9.34 lhs with equations [427,427]
% 9.12/9.34 rhs with equations [427].
% 9.12/9.34
% 9.12/9.34 518: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), isa(c_tptp_spindleheadmt(), c_aspatialthing()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 354,
% 9.12/9.34 lhs with equations [427]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 541: thing(c_tptp_spindleheadmt()) = isa(c_tptp_spindleheadmt(), c_aspatialthing()).
% 9.12/9.34 Proof: A critical pair between equations 0 and 497.
% 9.12/9.34
% 9.12/9.34 548: isa(c_tptp_spindleheadmt(), c_aspatialthing()) = ifeq3(isa(c_tptp_spindleheadmt(), c_aspatialthing()), isa(c_tptp_spindleheadmt(), c_aspatialthing()), isa(c_genlmt(), c_transitivebinarypredicate()), isa(c_tptp_spindleheadmt(), c_aspatialthing())).
% 9.12/9.34 Proof: A critical pair between equations 495 and 463.
% 9.12/9.34
% 9.12/9.34 557: thing(c_tptp_spindleheadmt()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 548,
% 9.12/9.34 lhs with equations [541]
% 9.12/9.34 rhs with equations [541,541,541,0].
% 9.12/9.34
% 9.12/9.34 585: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), thing(c_tptp_spindleheadmt()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 518,
% 9.12/9.34 lhs with equations [541]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 590: ifeq3(collection(X12), thing(c_tptp_spindleheadmt()), genls(X12, X12), thing(c_tptp_spindleheadmt())) = thing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 513,
% 9.12/9.34 lhs with equations [541,541]
% 9.12/9.34 rhs with equations [541].
% 9.12/9.34
% 9.12/9.34 607: ifeq3(isa(X7, X8), thing(c_tptp_spindleheadmt()), collection(X8), thing(c_tptp_spindleheadmt())) = thing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 496,
% 9.12/9.34 lhs with equations [541,541]
% 9.12/9.34 rhs with equations [541].
% 9.12/9.34
% 9.12/9.34 610: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = thing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 493,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [541].
% 9.12/9.34
% 9.12/9.34 642: ifeq3(microtheory(X3), thing(c_tptp_spindleheadmt()), aspatialinformationstore(X3), thing(c_tptp_spindleheadmt())) = thing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 461,
% 9.12/9.34 lhs with equations [541,541]
% 9.12/9.34 rhs with equations [541].
% 9.12/9.34
% 9.12/9.34 644: ifeq3(aspatialinformationstore(X3), thing(c_tptp_spindleheadmt()), aspatialthing(X3), thing(c_tptp_spindleheadmt())) = thing(c_tptp_spindleheadmt()).
% 9.12/9.34 Proof: Rewrite equation 459,
% 9.12/9.34 lhs with equations [541,541]
% 9.12/9.34 rhs with equations [541].
% 9.12/9.34
% 9.12/9.34 656: thing(c_tptp_spindleheadmt()) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 447,
% 9.12/9.34 lhs with equations [541]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 667: thing(c_tptp_spindleheadmt()) = ifeq3(thing(c_tptp_spindleheadmt()), thing(c_tptp_spindleheadmt()), collection(c_transitivebinarypredicate()), thing(c_tptp_spindleheadmt())).
% 9.12/9.34 Proof: A critical pair between equations 607 and 557.
% 9.12/9.34
% 9.12/9.34 688: genls(c_aspatialinformationstore(), c_aspatialinformationstore()) = collection(c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 667,
% 9.12/9.34 lhs with equations [656]
% 9.12/9.34 rhs with equations [656,656,656,0].
% 9.12/9.34
% 9.12/9.34 710: ifeq3(aspatialinformationstore(X3), genls(c_aspatialinformationstore(), c_aspatialinformationstore()), aspatialthing(X3), genls(c_aspatialinformationstore(), c_aspatialinformationstore())) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 644,
% 9.12/9.34 lhs with equations [656,656]
% 9.12/9.34 rhs with equations [656].
% 9.12/9.34
% 9.12/9.34 712: ifeq3(microtheory(X3), genls(c_aspatialinformationstore(), c_aspatialinformationstore()), aspatialinformationstore(X3), genls(c_aspatialinformationstore(), c_aspatialinformationstore())) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 642,
% 9.12/9.34 lhs with equations [656,656]
% 9.12/9.34 rhs with equations [656].
% 9.12/9.34
% 9.12/9.34 744: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 610,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [656].
% 9.12/9.34
% 9.12/9.34 764: ifeq3(collection(X12), genls(c_aspatialinformationstore(), c_aspatialinformationstore()), genls(X12, X12), genls(c_aspatialinformationstore(), c_aspatialinformationstore())) = genls(c_aspatialinformationstore(), c_aspatialinformationstore()).
% 9.12/9.34 Proof: Rewrite equation 590,
% 9.12/9.34 lhs with equations [656,656]
% 9.12/9.34 rhs with equations [656].
% 9.12/9.34
% 9.12/9.34 769: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), genls(c_aspatialinformationstore(), c_aspatialinformationstore()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 585,
% 9.12/9.34 lhs with equations [656]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 798: genls(c_aspatialinformationstore(), c_aspatialinformationstore()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 557,
% 9.12/9.34 lhs with equations [656]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 859: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), isa(c_genlmt(), c_transitivebinarypredicate()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 769,
% 9.12/9.34 lhs with equations [798]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 864: ifeq3(collection(X12), isa(c_genlmt(), c_transitivebinarypredicate()), genls(X12, X12), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 764,
% 9.12/9.34 lhs with equations [798,798]
% 9.12/9.34 rhs with equations [798].
% 9.12/9.34
% 9.12/9.34 884: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 744,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [798].
% 9.12/9.34
% 9.12/9.34 916: ifeq3(microtheory(X3), isa(c_genlmt(), c_transitivebinarypredicate()), aspatialinformationstore(X3), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 712,
% 9.12/9.34 lhs with equations [798,798]
% 9.12/9.34 rhs with equations [798].
% 9.12/9.34
% 9.12/9.34 918: ifeq3(aspatialinformationstore(X3), isa(c_genlmt(), c_transitivebinarypredicate()), aspatialthing(X3), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 710,
% 9.12/9.34 lhs with equations [798,798]
% 9.12/9.34 rhs with equations [798].
% 9.12/9.34
% 9.12/9.34 941: isa(c_genlmt(), c_transitivebinarypredicate()) = collection(c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 688,
% 9.12/9.34 lhs with equations [798]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 952: isa(c_genlmt(), c_transitivebinarypredicate()) = ifeq3(isa(c_genlmt(), c_transitivebinarypredicate()), isa(c_genlmt(), c_transitivebinarypredicate()), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), isa(c_genlmt(), c_transitivebinarypredicate())).
% 9.12/9.34 Proof: A critical pair between equations 864 and 941.
% 9.12/9.34
% 9.12/9.34 973: isa(c_genlmt(), c_transitivebinarypredicate()) = genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 952,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [0].
% 9.12/9.34
% 9.12/9.34 1007: ifeq3(aspatialinformationstore(X3), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), aspatialthing(X3), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate())) = genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 918,
% 9.12/9.34 lhs with equations [973,973]
% 9.12/9.34 rhs with equations [973].
% 9.12/9.34
% 9.12/9.34 1009: ifeq3(microtheory(X3), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), aspatialinformationstore(X3), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate())) = genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 916,
% 9.12/9.34 lhs with equations [973,973]
% 9.12/9.34 rhs with equations [973].
% 9.12/9.34
% 9.12/9.34 1041: microtheory(f_contentmtofcdafromeventfn(X7, X9)) = genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()).
% 9.12/9.34 Proof: Rewrite equation 884,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [973].
% 9.12/9.34
% 9.12/9.34 1066: ifeq2(aspatialthing(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwinformationblastcomtechnical_university_of_munichhtml())), c_translation_3())), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), a(), b()) = b().
% 9.12/9.34 Proof: Rewrite equation 859,
% 9.12/9.34 lhs with equations [973]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 1170: genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()) = ifeq3(genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), aspatialinformationstore(f_contentmtofcdafromeventfn(X10, X11)), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate())).
% 9.12/9.34 Proof: A critical pair between equations 1009 and 1041.
% 9.12/9.34
% 9.12/9.34 1180: genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()) = aspatialinformationstore(f_contentmtofcdafromeventfn(X10, X11)).
% 9.12/9.34 Proof: Rewrite equation 1170,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [0].
% 9.12/9.34
% 9.12/9.34 1181: genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()) = ifeq3(genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()), aspatialthing(f_contentmtofcdafromeventfn(X12, X13)), genls(c_transitivebinarypredicate(), c_transitivebinarypredicate())).
% 9.12/9.34 Proof: A critical pair between equations 1007 and 1180.
% 9.12/9.34
% 9.12/9.34 1197: genls(c_transitivebinarypredicate(), c_transitivebinarypredicate()) = aspatialthing(f_contentmtofcdafromeventfn(X12, X13)).
% 9.12/9.34 Proof: Rewrite equation 1181,
% 9.12/9.34 lhs with equations []
% 9.12/9.34 rhs with equations [0].
% 9.12/9.34
% 9.12/9.34 1198: a() = b().
% 9.12/9.34 Proof: Rewrite equation 1066,
% 9.12/9.34 lhs with equations [1197,1]
% 9.12/9.34 rhs with equations [].
% 9.12/9.34
% 9.12/9.34 1203: a() = b().
% 9.12/9.34 Proof: Rewrite lhs with equations []
% 9.12/9.34 rhs with equations [1198].
% 9.12/9.34
% 9.12/9.34 % SZS output end Proof
%------------------------------------------------------------------------------