TSTP Solution File: CSR027-10 by Toma---0.4
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%------------------------------------------------------------------------------
% File : Toma---0.4
% Problem : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : toma --casc %s
% Computer : n004.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 21:38:49 EDT 2023
% Result : Unsatisfiable 14.39s 14.65s
% Output : CNFRefutation 14.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR027-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % Command : toma --casc %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 11:34:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 14.39/14.65 % SZS status Unsatisfiable
% 14.39/14.65 % SZS output start Proof
% 14.39/14.65 original problem:
% 14.39/14.65 axioms:
% 14.39/14.65 ifeq3(A, A, B, C) = B
% 14.39/14.65 ifeq2(A, A, B, C) = B
% 14.39/14.65 ifeq(A, A, B, C) = B
% 14.39/14.65 ifeq3(relationallexists(PRED, INDEPCOL, DEPCOL), true(), ifeq3(isa(TERM, INDEPCOL), true(), isa(f_relationallexistsfn(TERM, PRED, INDEPCOL, DEPCOL), DEPCOL), true()), true()) = true()
% 14.39/14.65 resultisaarg(c_relationallexistsfn(), n_4()) = true()
% 14.39/14.65 genlmt(c_calendarsmt(), c_calendarsvocabularymt()) = true()
% 14.39/14.65 transitivebinarypredicate(c_genlmt()) = true()
% 14.39/14.65 genlmt(c_basekb(), c_universalvocabularymt()) = true()
% 14.39/14.65 genlmt(c_cyclistsmt(), c_calendarsmt()) = true()
% 14.39/14.65 genlmt(c_calendarsvocabularymt(), c_basekb()) = true()
% 14.39/14.65 genlmt(c_tptp_spindleheadmt(), c_cyclistsmt()) = true()
% 14.39/14.65 genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = true()
% 14.39/14.65 genlmt(c_tptp_member3993_mt(), c_tptp_spindleheadmt()) = true()
% 14.39/14.65 genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = true()
% 14.39/14.65 ifeq3(mtvisible(c_tptp_member2610_mt()), true(), ifeq3(isa(TERM, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), true(), tptp_8_875(TERM, f_relationallexistsfn(TERM, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), true()), true()) = true()
% 14.39/14.65 ifeq3(mtvisible(c_tptp_member2610_mt()), true(), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), true()) = true()
% 14.39/14.65 isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = true()
% 14.39/14.65 subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786()) = true()
% 14.39/14.65 ifeq3(genlinverse(PRED, GENLPRED), true(), ifeq3(genlinverse(SPECPRED, PRED), true(), genlpreds(SPECPRED, GENLPRED), true()), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(ARG1, INS), true(), predicate(INS), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(ARG1, INS), true(), predicate(INS), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(INS, ARG2), true(), predicate(INS), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(INS, ARG2), true(), predicate(INS), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(Y, Z), true(), ifeq3(genlpreds(X, Y), true(), genlpreds(X, Z), true()), true()) = true()
% 14.39/14.65 ifeq3(predicate(X), true(), genlpreds(X, X), true()) = true()
% 14.39/14.65 ifeq3(predicate(X), true(), genlpreds(X, X), true()) = true()
% 14.39/14.65 ifeq3(genlinverse(ARG1, INS), true(), binarypredicate(INS), true()) = true()
% 14.39/14.65 ifeq3(genlinverse(INS, ARG2), true(), binarypredicate(INS), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(NEW, OLD), true(), ifeq3(genlinverse(OLD, ARG2), true(), genlinverse(NEW, ARG2), true()), true()) = true()
% 14.39/14.65 ifeq3(genlpreds(OLD, NEW), true(), ifeq3(genlinverse(ARG1, OLD), true(), genlinverse(ARG1, NEW), true()), true()) = true()
% 14.39/14.65 ifeq3(disjointwith(ARG1, INS), true(), collection(INS), true()) = true()
% 14.39/14.65 ifeq3(disjointwith(INS, ARG2), true(), collection(INS), true()) = true()
% 14.39/14.65 ifeq3(disjointwith(X, Y), true(), disjointwith(Y, X), true()) = true()
% 14.39/14.65 ifeq3(genls(NEW, OLD), true(), ifeq3(disjointwith(ARG1, OLD), true(), disjointwith(ARG1, NEW), true()), true()) = true()
% 14.39/14.65 ifeq3(genls(NEW, OLD), true(), ifeq3(disjointwith(OLD, ARG2), true(), disjointwith(NEW, ARG2), true()), true()) = true()
% 14.39/14.65 ifeq3(isa(X, c_tptpcol_16_31868()), true(), tptpcol_16_31868(X), true()) = true()
% 14.39/14.65 ifeq3(tptpcol_16_31868(X), true(), isa(X, c_tptpcol_16_31868()), true()) = true()
% 14.39/14.65 ifeq3(isa(X, c_movement_translationevent()), true(), movement_translationevent(X), true()) = true()
% 14.39/14.65 ifeq3(movement_translationevent(X), true(), isa(X, c_movement_translationevent()), true()) = true()
% 14.39/14.65 ifeq3(directionoftranslation_throughout(ARG1, INS), true(), unitvectorinterval(INS), true()) = true()
% 14.39/14.65 ifeq3(directionoftranslation_throughout(INS, ARG2), true(), movement_translationevent(INS), true()) = true()
% 14.39/14.65 ifeq3(subevents(OLD, NEW), true(), ifeq3(directionoftranslation_throughout(OLD, ARG2), true(), directionoftranslation_throughout(NEW, ARG2), true()), true()) = true()
% 14.39/14.65 ifeq3(isa(X, c_unitvectorinterval()), true(), unitvectorinterval(X), true()) = true()
% 14.39/14.65 ifeq3(unitvectorinterval(X), true(), isa(X, c_unitvectorinterval()), true()) = true()
% 14.39/14.65 natfunction(f_subcollectionofwithrelationfromtypefn(ARG1, ARG2, ARG3), c_subcollectionofwithrelationfromtypefn()) = true()
% 14.39/14.65 natargument(f_subcollectionofwithrelationfromtypefn(ARG1, ARG2, ARG3), n_1(), ARG1) = true()
% 14.39/14.65 natargument(f_subcollectionofwithrelationfromtypefn(ARG1, ARG2, ARG3), n_2(), ARG2) = true()
% 14.39/14.65 natargument(f_subcollectionofwithrelationfromtypefn(ARG1, ARG2, ARG3), n_3(), ARG3) = true()
% 14.39/14.65 collection(f_subcollectionofwithrelationfromtypefn(ARG1, ARG2, ARG3)) = true()
% 14.39/14.65 ifeq3(isa(X, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), true(), subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(X), true()) = true()
% 14.39/14.65 ifeq3(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(X), true(), isa(X, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), true()) = true()
% 14.39/14.65 ifeq3(tptp_8_875(ARG1, INS), true(), tptpcol_4_24578(INS), true()) = true()
% 14.39/14.65 ifeq3(tptp_8_875(INS, ARG2), true(), subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent(INS), true()) = true()
% 14.39/14.65 ifeq3(relationallexists(ARG1, ARG2, INS), true(), collection(INS), true()) = true()
% 14.39/14.65 ifeq3(relationallexists(ARG1, INS, ARG3), true(), collection(INS), true()) = true()
% 14.39/14.65 ifeq3(relationallexists(INS, ARG2, ARG3), true(), binarypredicate(INS), true()) = true()
% 14.39/14.65 mtvisible(c_basekb()) = true()
% 14.39/14.65 ifeq3(isa(X, c_transitivebinarypredicate()), true(), transitivebinarypredicate(X), true()) = true()
% 14.39/14.65 ifeq3(transitivebinarypredicate(X), true(), isa(X, c_transitivebinarypredicate()), true()) = true()
% 14.39/14.65 ifeq3(isa(ARG1, INS), true(), collection(INS), true()) = true()
% 14.39/14.65 ifeq3(isa(ARG1, INS), true(), collection(INS), true()) = true()
% 14.39/14.65 ifeq3(isa(INS, ARG2), true(), thing(INS), true()) = true()
% 14.39/14.65 ifeq3(isa(INS, ARG2), true(), thing(INS), true()) = true()
% 14.39/14.65 ifeq3(genls(OLD, NEW), true(), ifeq3(isa(ARG1, OLD), true(), isa(ARG1, NEW), true()), true()) = true()
% 14.39/14.65 ifeq3(genlmt(SPECMT, GENLMT), true(), ifeq3(mtvisible(SPECMT), true(), mtvisible(GENLMT), true()), true()) = true()
% 14.39/14.65 ifeq3(genlmt(ARG1, INS), true(), microtheory(INS), true()) = true()
% 14.39/14.65 ifeq3(genlmt(ARG1, INS), true(), microtheory(INS), true()) = true()
% 14.39/14.65 ifeq3(genlmt(INS, ARG2), true(), microtheory(INS), true()) = true()
% 14.39/14.65 ifeq3(genlmt(INS, ARG2), true(), microtheory(INS), true()) = true()
% 14.39/14.65 ifeq3(genlmt(Y, Z), true(), ifeq3(genlmt(X, Y), true(), genlmt(X, Z), true()), true()) = true()
% 14.39/14.65 ifeq3(microtheory(X), true(), genlmt(X, X), true()) = true()
% 14.39/14.65 ifeq3(microtheory(X), true(), genlmt(X, X), true()) = true()
% 14.39/14.65 natfunction(f_relationallexistsfn(ARG1, ARG2, ARG3, ARG4), c_relationallexistsfn()) = true()
% 14.39/14.65 natargument(f_relationallexistsfn(ARG1, ARG2, ARG3, ARG4), n_1(), ARG1) = true()
% 14.39/14.65 natargument(f_relationallexistsfn(ARG1, ARG2, ARG3, ARG4), n_2(), ARG2) = true()
% 14.39/14.65 natargument(f_relationallexistsfn(ARG1, ARG2, ARG3, ARG4), n_3(), ARG3) = true()
% 14.39/14.65 natargument(f_relationallexistsfn(ARG1, ARG2, ARG3, ARG4), n_4(), ARG4) = true()
% 14.39/14.65 thing(f_relationallexistsfn(ARG1, ARG2, ARG3, ARG4)) = true()
% 14.39/14.65 ifeq3(resultisaarg(ARG1, INS), true(), positiveinteger(INS), true()) = true()
% 14.39/14.65 ifeq3(resultisaarg(INS, ARG2), true(), function_denotational(INS), true()) = true()
% 14.39/14.65 mtvisible(c_universalvocabularymt()) = true()
% 14.39/14.65 mtvisible(c_tptp_spindlecollectormt()) = true()
% 14.39/14.65 ifeq(tuple(isa(OBJ, COL1), isa(OBJ, COL2), disjointwith(COL1, COL2)), tuple(true(), true(), true()), a(), b()) = b()
% 14.39/14.65 ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X), tptpcol_16_31868(X)), tuple2(true(), true()), a(), b()) = b()
% 14.39/14.66 goal:
% 14.39/14.66 a() != b()
% 14.39/14.66 To show the unsatisfiability of the original goal,
% 14.39/14.66 it suffices to show that a() = b() (skolemized goal) is valid under the axioms.
% 14.39/14.66 Here is an equational proof:
% 14.39/14.66 0: ifeq3(X0, X0, X1, X2) = X1.
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 1: ifeq2(X0, X0, X1, X2) = X1.
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 3: ifeq3(relationallexists(X3, X4, X5), true(), ifeq3(isa(X6, X4), true(), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), true()), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 4: resultisaarg(c_relationallexistsfn(), n_4()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 5: genlmt(c_calendarsmt(), c_calendarsvocabularymt()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 6: transitivebinarypredicate(c_genlmt()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 7: genlmt(c_basekb(), c_universalvocabularymt()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 11: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 13: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 14: ifeq3(mtvisible(c_tptp_member2610_mt()), true(), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), true(), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), true()), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 15: ifeq3(mtvisible(c_tptp_member2610_mt()), true(), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 16: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 35: ifeq3(isa(X14, c_tptpcol_16_31868()), true(), tptpcol_16_31868(X14), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 55: ifeq3(relationallexists(X10, X11, X17), true(), binarypredicate(X10), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 58: ifeq3(transitivebinarypredicate(X14), true(), isa(X14, c_transitivebinarypredicate()), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 64: ifeq3(genlmt(X18, X19), true(), ifeq3(mtvisible(X18), true(), mtvisible(X19), true()), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 65: ifeq3(genlmt(X9, X10), true(), microtheory(X10), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 70: ifeq3(microtheory(X14), true(), genlmt(X14, X14), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 79: ifeq3(resultisaarg(X10, X11), true(), function_denotational(X10), true()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 81: mtvisible(c_tptp_spindlecollectormt()) = true().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 83: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(true(), true()), a(), b()) = b().
% 14.39/14.66 Proof: Axiom.
% 14.39/14.66
% 14.39/14.66 84: ifeq3(relationallexists(X3, X4, X5), resultisaarg(c_relationallexistsfn(), n_4()), ifeq3(isa(X6, X4), resultisaarg(c_relationallexistsfn(), n_4()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), resultisaarg(c_relationallexistsfn(), n_4())), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 3,
% 14.39/14.66 lhs with equations [4,4,4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 85: genlmt(c_calendarsmt(), c_calendarsvocabularymt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 5,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 86: transitivebinarypredicate(c_genlmt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 6,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 87: genlmt(c_basekb(), c_universalvocabularymt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 7,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 91: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 11,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 93: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 13,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 94: ifeq3(mtvisible(c_tptp_member2610_mt()), resultisaarg(c_relationallexistsfn(), n_4()), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), resultisaarg(c_relationallexistsfn(), n_4()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), resultisaarg(c_relationallexistsfn(), n_4())), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 14,
% 14.39/14.66 lhs with equations [4,4,4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 95: ifeq3(mtvisible(c_tptp_member2610_mt()), resultisaarg(c_relationallexistsfn(), n_4()), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 15,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 96: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 16,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 112: ifeq3(isa(X14, c_tptpcol_16_31868()), resultisaarg(c_relationallexistsfn(), n_4()), tptpcol_16_31868(X14), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 35,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 132: ifeq3(relationallexists(X10, X11, X17), resultisaarg(c_relationallexistsfn(), n_4()), binarypredicate(X10), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 55,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 135: ifeq3(transitivebinarypredicate(X14), resultisaarg(c_relationallexistsfn(), n_4()), isa(X14, c_transitivebinarypredicate()), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 58,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 139: ifeq3(genlmt(X18, X19), resultisaarg(c_relationallexistsfn(), n_4()), ifeq3(mtvisible(X18), resultisaarg(c_relationallexistsfn(), n_4()), mtvisible(X19), resultisaarg(c_relationallexistsfn(), n_4())), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 64,
% 14.39/14.66 lhs with equations [4,4,4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 140: ifeq3(genlmt(X9, X10), resultisaarg(c_relationallexistsfn(), n_4()), microtheory(X10), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 65,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 143: ifeq3(microtheory(X14), resultisaarg(c_relationallexistsfn(), n_4()), genlmt(X14, X14), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 70,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 151: ifeq3(resultisaarg(X10, X11), resultisaarg(c_relationallexistsfn(), n_4()), function_denotational(X10), resultisaarg(c_relationallexistsfn(), n_4())) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 79,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 153: mtvisible(c_tptp_spindlecollectormt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 81,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [4].
% 14.39/14.66
% 14.39/14.66 155: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(resultisaarg(c_relationallexistsfn(), n_4()), resultisaarg(c_relationallexistsfn(), n_4())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 83,
% 14.39/14.66 lhs with equations [4,4]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 157: function_denotational(c_relationallexistsfn()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: A critical pair between equations 0 and 151.
% 14.39/14.66
% 14.39/14.66 159: resultisaarg(c_relationallexistsfn(), n_4()) = ifeq3(resultisaarg(c_relationallexistsfn(), n_4()), resultisaarg(c_relationallexistsfn(), n_4()), microtheory(c_calendarsvocabularymt()), resultisaarg(c_relationallexistsfn(), n_4())).
% 14.39/14.66 Proof: A critical pair between equations 140 and 85.
% 14.39/14.66
% 14.39/14.66 160: resultisaarg(c_relationallexistsfn(), n_4()) = ifeq3(resultisaarg(c_relationallexistsfn(), n_4()), resultisaarg(c_relationallexistsfn(), n_4()), microtheory(c_universalvocabularymt()), resultisaarg(c_relationallexistsfn(), n_4())).
% 14.39/14.66 Proof: A critical pair between equations 140 and 87.
% 14.39/14.66
% 14.39/14.66 175: function_denotational(c_relationallexistsfn()) = microtheory(c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 160,
% 14.39/14.66 lhs with equations [157]
% 14.39/14.66 rhs with equations [157,157,157,0].
% 14.39/14.66
% 14.39/14.66 176: function_denotational(c_relationallexistsfn()) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 159,
% 14.39/14.66 lhs with equations [157]
% 14.39/14.66 rhs with equations [157,157,157,0].
% 14.39/14.66
% 14.39/14.66 178: microtheory(c_calendarsvocabularymt()) = resultisaarg(c_relationallexistsfn(), n_4()).
% 14.39/14.66 Proof: Rewrite equation 157,
% 14.39/14.66 lhs with equations [176]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 180: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(microtheory(c_calendarsvocabularymt()), microtheory(c_calendarsvocabularymt())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 155,
% 14.39/14.66 lhs with equations [178,178]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 182: mtvisible(c_tptp_spindlecollectormt()) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 153,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 192: ifeq3(microtheory(X14), microtheory(c_calendarsvocabularymt()), genlmt(X14, X14), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 143,
% 14.39/14.66 lhs with equations [178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 196: ifeq3(genlmt(X18, X19), microtheory(c_calendarsvocabularymt()), ifeq3(mtvisible(X18), microtheory(c_calendarsvocabularymt()), mtvisible(X19), microtheory(c_calendarsvocabularymt())), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 139,
% 14.39/14.66 lhs with equations [178,178,178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 200: ifeq3(transitivebinarypredicate(X14), microtheory(c_calendarsvocabularymt()), isa(X14, c_transitivebinarypredicate()), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 135,
% 14.39/14.66 lhs with equations [178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 203: ifeq3(relationallexists(X10, X11, X17), microtheory(c_calendarsvocabularymt()), binarypredicate(X10), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 132,
% 14.39/14.66 lhs with equations [178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 223: ifeq3(isa(X14, c_tptpcol_16_31868()), microtheory(c_calendarsvocabularymt()), tptpcol_16_31868(X14), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 112,
% 14.39/14.66 lhs with equations [178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 239: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 96,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 240: ifeq3(mtvisible(c_tptp_member2610_mt()), microtheory(c_calendarsvocabularymt()), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 95,
% 14.39/14.66 lhs with equations [178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 241: ifeq3(mtvisible(c_tptp_member2610_mt()), microtheory(c_calendarsvocabularymt()), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), microtheory(c_calendarsvocabularymt()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), microtheory(c_calendarsvocabularymt())), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 94,
% 14.39/14.66 lhs with equations [178,178,178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 242: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 93,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 244: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 91,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 249: transitivebinarypredicate(c_genlmt()) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 86,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 252: ifeq3(relationallexists(X3, X4, X5), microtheory(c_calendarsvocabularymt()), ifeq3(isa(X6, X4), microtheory(c_calendarsvocabularymt()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), microtheory(c_calendarsvocabularymt())), microtheory(c_calendarsvocabularymt())) = microtheory(c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 84,
% 14.39/14.66 lhs with equations [178,178,178,178]
% 14.39/14.66 rhs with equations [178].
% 14.39/14.66
% 14.39/14.66 253: microtheory(c_calendarsvocabularymt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: A critical pair between equations 192 and 0.
% 14.39/14.66
% 14.39/14.66 263: microtheory(c_calendarsvocabularymt()) = ifeq3(function_denotational(c_relationallexistsfn()), microtheory(c_calendarsvocabularymt()), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), microtheory(c_calendarsvocabularymt())).
% 14.39/14.66 Proof: A critical pair between equations 192 and 175.
% 14.39/14.66
% 14.39/14.66 266: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 263,
% 14.39/14.66 lhs with equations [253]
% 14.39/14.66 rhs with equations [176,253,253,253,0].
% 14.39/14.66
% 14.39/14.66 276: ifeq3(relationallexists(X3, X4, X5), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), ifeq3(isa(X6, X4), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 252,
% 14.39/14.66 lhs with equations [253,253,253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 279: transitivebinarypredicate(c_genlmt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 249,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 284: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 244,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 286: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 242,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 287: ifeq3(mtvisible(c_tptp_member2610_mt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 241,
% 14.39/14.66 lhs with equations [253,253,253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 288: ifeq3(mtvisible(c_tptp_member2610_mt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 240,
% 14.39/14.66 lhs with equations [253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 289: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 239,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 305: ifeq3(isa(X14, c_tptpcol_16_31868()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), tptpcol_16_31868(X14), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 223,
% 14.39/14.66 lhs with equations [253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 325: ifeq3(relationallexists(X10, X11, X17), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), binarypredicate(X10), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 203,
% 14.39/14.66 lhs with equations [253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 328: ifeq3(transitivebinarypredicate(X14), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), isa(X14, c_transitivebinarypredicate()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 200,
% 14.39/14.66 lhs with equations [253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 332: ifeq3(genlmt(X18, X19), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), ifeq3(mtvisible(X18), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), mtvisible(X19), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 196,
% 14.39/14.66 lhs with equations [253,253,253,253]
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 346: mtvisible(c_tptp_spindlecollectormt()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 182,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 348: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 180,
% 14.39/14.66 lhs with equations [253,253]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 352: function_denotational(c_relationallexistsfn()) = genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 176,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [253].
% 14.39/14.66
% 14.39/14.66 366: genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()) = ifeq3(genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt()), isa(c_genlmt(), c_transitivebinarypredicate()), genlmt(c_calendarsvocabularymt(), c_calendarsvocabularymt())).
% 14.39/14.66 Proof: A critical pair between equations 328 and 279.
% 14.39/14.66
% 14.39/14.66 379: function_denotational(c_relationallexistsfn()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 366,
% 14.39/14.66 lhs with equations [352]
% 14.39/14.66 rhs with equations [352,352,352,0].
% 14.39/14.66
% 14.39/14.66 395: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(function_denotational(c_relationallexistsfn()), function_denotational(c_relationallexistsfn())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 348,
% 14.39/14.66 lhs with equations [352,352]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 397: mtvisible(c_tptp_spindlecollectormt()) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 346,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 411: ifeq3(genlmt(X18, X19), function_denotational(c_relationallexistsfn()), ifeq3(mtvisible(X18), function_denotational(c_relationallexistsfn()), mtvisible(X19), function_denotational(c_relationallexistsfn())), function_denotational(c_relationallexistsfn())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 332,
% 14.39/14.66 lhs with equations [352,352,352,352]
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 418: ifeq3(relationallexists(X10, X11, X17), function_denotational(c_relationallexistsfn()), binarypredicate(X10), function_denotational(c_relationallexistsfn())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 325,
% 14.39/14.66 lhs with equations [352,352]
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 438: ifeq3(isa(X14, c_tptpcol_16_31868()), function_denotational(c_relationallexistsfn()), tptpcol_16_31868(X14), function_denotational(c_relationallexistsfn())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 305,
% 14.39/14.66 lhs with equations [352,352]
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 454: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 289,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 455: ifeq3(mtvisible(c_tptp_member2610_mt()), function_denotational(c_relationallexistsfn()), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), function_denotational(c_relationallexistsfn())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 288,
% 14.39/14.66 lhs with equations [352,352]
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 456: ifeq3(mtvisible(c_tptp_member2610_mt()), function_denotational(c_relationallexistsfn()), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), function_denotational(c_relationallexistsfn()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), function_denotational(c_relationallexistsfn())), function_denotational(c_relationallexistsfn())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 287,
% 14.39/14.66 lhs with equations [352,352,352,352]
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 457: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 286,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 459: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 284,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 467: ifeq3(relationallexists(X3, X4, X5), function_denotational(c_relationallexistsfn()), ifeq3(isa(X6, X4), function_denotational(c_relationallexistsfn()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), function_denotational(c_relationallexistsfn())), function_denotational(c_relationallexistsfn())) = function_denotational(c_relationallexistsfn()).
% 14.39/14.66 Proof: Rewrite equation 276,
% 14.39/14.66 lhs with equations [352,352,352,352]
% 14.39/14.66 rhs with equations [352].
% 14.39/14.66
% 14.39/14.66 477: function_denotational(c_relationallexistsfn()) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 266,
% 14.39/14.66 lhs with equations [352]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 513: ifeq3(relationallexists(X3, X4, X5), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), ifeq3(isa(X6, X4), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), genlmt(c_universalvocabularymt(), c_universalvocabularymt())), genlmt(c_universalvocabularymt(), c_universalvocabularymt())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 467,
% 14.39/14.66 lhs with equations [477,477,477,477]
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 521: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 459,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 523: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 457,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 524: ifeq3(mtvisible(c_tptp_member2610_mt()), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), genlmt(c_universalvocabularymt(), c_universalvocabularymt())), genlmt(c_universalvocabularymt(), c_universalvocabularymt())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 456,
% 14.39/14.66 lhs with equations [477,477,477,477]
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 525: ifeq3(mtvisible(c_tptp_member2610_mt()), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), genlmt(c_universalvocabularymt(), c_universalvocabularymt())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 455,
% 14.39/14.66 lhs with equations [477,477]
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 526: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 454,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 542: ifeq3(isa(X14, c_tptpcol_16_31868()), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), tptpcol_16_31868(X14), genlmt(c_universalvocabularymt(), c_universalvocabularymt())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 438,
% 14.39/14.66 lhs with equations [477,477]
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 562: ifeq3(relationallexists(X10, X11, X17), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), binarypredicate(X10), genlmt(c_universalvocabularymt(), c_universalvocabularymt())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 418,
% 14.39/14.66 lhs with equations [477,477]
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 569: ifeq3(genlmt(X18, X19), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), ifeq3(mtvisible(X18), genlmt(c_universalvocabularymt(), c_universalvocabularymt()), mtvisible(X19), genlmt(c_universalvocabularymt(), c_universalvocabularymt())), genlmt(c_universalvocabularymt(), c_universalvocabularymt())) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 411,
% 14.39/14.66 lhs with equations [477,477,477,477]
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 583: mtvisible(c_tptp_spindlecollectormt()) = genlmt(c_universalvocabularymt(), c_universalvocabularymt()).
% 14.39/14.66 Proof: Rewrite equation 397,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [477].
% 14.39/14.66
% 14.39/14.66 585: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(genlmt(c_universalvocabularymt(), c_universalvocabularymt()), genlmt(c_universalvocabularymt(), c_universalvocabularymt())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 395,
% 14.39/14.66 lhs with equations [477,477]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 602: genlmt(c_universalvocabularymt(), c_universalvocabularymt()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 379,
% 14.39/14.66 lhs with equations [477]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 655: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(isa(c_genlmt(), c_transitivebinarypredicate()), isa(c_genlmt(), c_transitivebinarypredicate())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 585,
% 14.39/14.66 lhs with equations [602,602]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 657: mtvisible(c_tptp_spindlecollectormt()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 583,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 671: ifeq3(genlmt(X18, X19), isa(c_genlmt(), c_transitivebinarypredicate()), ifeq3(mtvisible(X18), isa(c_genlmt(), c_transitivebinarypredicate()), mtvisible(X19), isa(c_genlmt(), c_transitivebinarypredicate())), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 569,
% 14.39/14.66 lhs with equations [602,602,602,602]
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 678: ifeq3(relationallexists(X10, X11, X17), isa(c_genlmt(), c_transitivebinarypredicate()), binarypredicate(X10), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 562,
% 14.39/14.66 lhs with equations [602,602]
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 698: ifeq3(isa(X14, c_tptpcol_16_31868()), isa(c_genlmt(), c_transitivebinarypredicate()), tptpcol_16_31868(X14), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 542,
% 14.39/14.66 lhs with equations [602,602]
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 714: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 526,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 715: ifeq3(mtvisible(c_tptp_member2610_mt()), isa(c_genlmt(), c_transitivebinarypredicate()), relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 525,
% 14.39/14.66 lhs with equations [602,602]
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 716: ifeq3(mtvisible(c_tptp_member2610_mt()), isa(c_genlmt(), c_transitivebinarypredicate()), ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), isa(c_genlmt(), c_transitivebinarypredicate()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), isa(c_genlmt(), c_transitivebinarypredicate())), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 524,
% 14.39/14.66 lhs with equations [602,602,602,602]
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 717: genlmt(c_tptp_spindlecollectormt(), c_tptp_member3993_mt()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 523,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 719: genlmt(c_tptp_spindlecollectormt(), c_tptp_member2610_mt()) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 521,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 727: ifeq3(relationallexists(X3, X4, X5), isa(c_genlmt(), c_transitivebinarypredicate()), ifeq3(isa(X6, X4), isa(c_genlmt(), c_transitivebinarypredicate()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), isa(c_genlmt(), c_transitivebinarypredicate())), isa(c_genlmt(), c_transitivebinarypredicate())) = isa(c_genlmt(), c_transitivebinarypredicate()).
% 14.39/14.66 Proof: Rewrite equation 513,
% 14.39/14.66 lhs with equations [602,602,602,602]
% 14.39/14.66 rhs with equations [602].
% 14.39/14.66
% 14.39/14.66 760: isa(c_genlmt(), c_transitivebinarypredicate()) = ifeq3(isa(c_genlmt(), c_transitivebinarypredicate()), isa(c_genlmt(), c_transitivebinarypredicate()), ifeq3(mtvisible(c_tptp_spindlecollectormt()), isa(c_genlmt(), c_transitivebinarypredicate()), mtvisible(c_tptp_member3993_mt()), isa(c_genlmt(), c_transitivebinarypredicate())), isa(c_genlmt(), c_transitivebinarypredicate())).
% 14.39/14.66 Proof: A critical pair between equations 671 and 717.
% 14.39/14.66
% 14.39/14.66 762: isa(c_genlmt(), c_transitivebinarypredicate()) = ifeq3(isa(c_genlmt(), c_transitivebinarypredicate()), isa(c_genlmt(), c_transitivebinarypredicate()), ifeq3(mtvisible(c_tptp_spindlecollectormt()), isa(c_genlmt(), c_transitivebinarypredicate()), mtvisible(c_tptp_member2610_mt()), isa(c_genlmt(), c_transitivebinarypredicate())), isa(c_genlmt(), c_transitivebinarypredicate())).
% 14.39/14.66 Proof: A critical pair between equations 671 and 719.
% 14.39/14.66
% 14.39/14.66 763: mtvisible(c_tptp_spindlecollectormt()) = mtvisible(c_tptp_member2610_mt()).
% 14.39/14.66 Proof: Rewrite equation 762,
% 14.39/14.66 lhs with equations [657]
% 14.39/14.66 rhs with equations [657,657,657,657,0,657,0].
% 14.39/14.66
% 14.39/14.66 765: mtvisible(c_tptp_spindlecollectormt()) = mtvisible(c_tptp_member3993_mt()).
% 14.39/14.66 Proof: Rewrite equation 760,
% 14.39/14.66 lhs with equations [657]
% 14.39/14.66 rhs with equations [657,657,657,657,0,657,0].
% 14.39/14.66
% 14.39/14.66 798: ifeq3(relationallexists(X3, X4, X5), mtvisible(c_tptp_spindlecollectormt()), ifeq3(isa(X6, X4), mtvisible(c_tptp_spindlecollectormt()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), mtvisible(c_tptp_spindlecollectormt())), mtvisible(c_tptp_spindlecollectormt())) = mtvisible(c_tptp_spindlecollectormt()).
% 14.39/14.66 Proof: Rewrite equation 727,
% 14.39/14.66 lhs with equations [657,657,657,657]
% 14.39/14.66 rhs with equations [657].
% 14.39/14.66
% 14.39/14.66 809: ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), mtvisible(c_tptp_spindlecollectormt()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), mtvisible(c_tptp_spindlecollectormt())) = mtvisible(c_tptp_spindlecollectormt()).
% 14.39/14.66 Proof: Rewrite equation 716,
% 14.39/14.66 lhs with equations [763,657,657,657,657,0]
% 14.39/14.66 rhs with equations [657].
% 14.39/14.66
% 14.39/14.66 810: relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()) = mtvisible(c_tptp_spindlecollectormt()).
% 14.39/14.66 Proof: Rewrite equation 715,
% 14.39/14.66 lhs with equations [763,657,657,0]
% 14.39/14.66 rhs with equations [657].
% 14.39/14.66
% 14.39/14.66 811: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = mtvisible(c_tptp_spindlecollectormt()).
% 14.39/14.66 Proof: Rewrite equation 714,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [657].
% 14.39/14.66
% 14.39/14.66 827: ifeq3(isa(X14, c_tptpcol_16_31868()), mtvisible(c_tptp_spindlecollectormt()), tptpcol_16_31868(X14), mtvisible(c_tptp_spindlecollectormt())) = mtvisible(c_tptp_spindlecollectormt()).
% 14.39/14.66 Proof: Rewrite equation 698,
% 14.39/14.66 lhs with equations [657,657]
% 14.39/14.66 rhs with equations [657].
% 14.39/14.66
% 14.39/14.66 847: ifeq3(relationallexists(X10, X11, X17), mtvisible(c_tptp_spindlecollectormt()), binarypredicate(X10), mtvisible(c_tptp_spindlecollectormt())) = mtvisible(c_tptp_spindlecollectormt()).
% 14.39/14.66 Proof: Rewrite equation 678,
% 14.39/14.66 lhs with equations [657,657]
% 14.39/14.66 rhs with equations [657].
% 14.39/14.66
% 14.39/14.66 869: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(mtvisible(c_tptp_spindlecollectormt()), mtvisible(c_tptp_spindlecollectormt())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 655,
% 14.39/14.66 lhs with equations [657,657]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 907: mtvisible(c_tptp_spindlecollectormt()) = ifeq3(mtvisible(c_tptp_spindlecollectormt()), mtvisible(c_tptp_spindlecollectormt()), binarypredicate(c_tptp_8_875()), mtvisible(c_tptp_spindlecollectormt())).
% 14.39/14.66 Proof: A critical pair between equations 847 and 810.
% 14.39/14.66
% 14.39/14.66 923: mtvisible(c_tptp_member3993_mt()) = binarypredicate(c_tptp_8_875()).
% 14.39/14.66 Proof: Rewrite equation 907,
% 14.39/14.66 lhs with equations [765]
% 14.39/14.66 rhs with equations [765,765,765,0].
% 14.39/14.66
% 14.39/14.66 959: ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X14), tptpcol_16_31868(X14)), tuple2(binarypredicate(c_tptp_8_875()), binarypredicate(c_tptp_8_875())), a(), b()) = b().
% 14.39/14.66 Proof: Rewrite equation 869,
% 14.39/14.66 lhs with equations [765,923,765,923]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 1002: ifeq3(isa(X14, c_tptpcol_16_31868()), binarypredicate(c_tptp_8_875()), tptpcol_16_31868(X14), binarypredicate(c_tptp_8_875())) = binarypredicate(c_tptp_8_875()).
% 14.39/14.66 Proof: Rewrite equation 827,
% 14.39/14.66 lhs with equations [765,923,765,923]
% 14.39/14.66 rhs with equations [765,923].
% 14.39/14.66
% 14.39/14.66 1018: isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())) = binarypredicate(c_tptp_8_875()).
% 14.39/14.66 Proof: Rewrite equation 811,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [765,923].
% 14.39/14.66
% 14.39/14.66 1019: relationallexists(c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()) = binarypredicate(c_tptp_8_875()).
% 14.39/14.66 Proof: Rewrite equation 810,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [765,923].
% 14.39/14.66
% 14.39/14.66 1020: ifeq3(isa(X6, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent())), binarypredicate(c_tptp_8_875()), tptp_8_875(X6, f_relationallexistsfn(X6, c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), binarypredicate(c_tptp_8_875())) = binarypredicate(c_tptp_8_875()).
% 14.39/14.66 Proof: Rewrite equation 809,
% 14.39/14.66 lhs with equations [765,923,765,923]
% 14.39/14.66 rhs with equations [765,923].
% 14.39/14.66
% 14.39/14.66 1031: ifeq3(relationallexists(X3, X4, X5), binarypredicate(c_tptp_8_875()), ifeq3(isa(X6, X4), binarypredicate(c_tptp_8_875()), isa(f_relationallexistsfn(X6, X3, X4, X5), X5), binarypredicate(c_tptp_8_875())), binarypredicate(c_tptp_8_875())) = binarypredicate(c_tptp_8_875()).
% 14.39/14.66 Proof: Rewrite equation 798,
% 14.39/14.66 lhs with equations [765,923,765,923,765,923,765,923]
% 14.39/14.66 rhs with equations [765,923].
% 14.39/14.66
% 14.39/14.66 1088: binarypredicate(c_tptp_8_875()) = ifeq3(binarypredicate(c_tptp_8_875()), binarypredicate(c_tptp_8_875()), tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), binarypredicate(c_tptp_8_875())).
% 14.39/14.66 Proof: A critical pair between equations 1020 and 1018.
% 14.39/14.66
% 14.39/14.66 1105: binarypredicate(c_tptp_8_875()) = tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())).
% 14.39/14.66 Proof: Rewrite equation 1088,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [0].
% 14.39/14.66
% 14.39/14.66 1298: b() = ifeq2(tuple2(binarypredicate(c_tptp_8_875()), tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()))), tuple2(binarypredicate(c_tptp_8_875()), binarypredicate(c_tptp_8_875())), a(), b()).
% 14.39/14.66 Proof: A critical pair between equations 959 and 1105.
% 14.39/14.66
% 14.39/14.66 1304: binarypredicate(c_tptp_8_875()) = ifeq3(relationallexists(X3, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), X5), binarypredicate(c_tptp_8_875()), ifeq3(binarypredicate(c_tptp_8_875()), binarypredicate(c_tptp_8_875()), isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X3, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), X5), X5), binarypredicate(c_tptp_8_875())), binarypredicate(c_tptp_8_875())).
% 14.39/14.66 Proof: A critical pair between equations 1031 and 1018.
% 14.39/14.66
% 14.39/14.66 1305: binarypredicate(c_tptp_8_875()) = ifeq3(relationallexists(X3, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), X5), binarypredicate(c_tptp_8_875()), isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), X3, f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), X5), X5), binarypredicate(c_tptp_8_875())).
% 14.39/14.66 Proof: Rewrite equation 1304,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [0].
% 14.39/14.66
% 14.39/14.66 1313: binarypredicate(c_tptp_8_875()) = ifeq3(binarypredicate(c_tptp_8_875()), binarypredicate(c_tptp_8_875()), isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), c_tptpcol_16_31868()), binarypredicate(c_tptp_8_875())).
% 14.39/14.66 Proof: A critical pair between equations 1305 and 1019.
% 14.39/14.66
% 14.39/14.66 1315: binarypredicate(c_tptp_8_875()) = isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868()), c_tptpcol_16_31868()).
% 14.39/14.66 Proof: Rewrite equation 1313,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [0].
% 14.39/14.66
% 14.39/14.66 1317: binarypredicate(c_tptp_8_875()) = ifeq3(binarypredicate(c_tptp_8_875()), binarypredicate(c_tptp_8_875()), tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())), binarypredicate(c_tptp_8_875())).
% 14.39/14.66 Proof: A critical pair between equations 1002 and 1315.
% 14.39/14.66
% 14.39/14.66 1326: binarypredicate(c_tptp_8_875()) = tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786(), c_tptp_8_875(), f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval(), c_directionoftranslation_throughout(), c_movement_translationevent()), c_tptpcol_16_31868())).
% 14.39/14.66 Proof: Rewrite equation 1317,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [0].
% 14.39/14.66
% 14.39/14.66 1327: b() = a().
% 14.39/14.66 Proof: Rewrite equation 1298,
% 14.39/14.66 lhs with equations []
% 14.39/14.66 rhs with equations [1326,1].
% 14.39/14.66
% 14.39/14.66 1334: a() = b().
% 14.39/14.66 Proof: Rewrite lhs with equations [1327]
% 14.39/14.66 rhs with equations [].
% 14.39/14.66
% 14.39/14.66 % SZS output end Proof
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