%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : CSR027+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n027.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 : 600s % DateTime : Fri Jul 15 23:29:01 EDT 2022 % Result : Theorem 4.82s 5.02s % Output : Proof 4.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : CSR027+1 : TPTP v8.1.0. Released v3.4.0. % 0.10/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n027.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Fri Jun 10 19:12:59 EDT 2022 % 0.13/0.34 % CPUTime : % 4.82/5.02 % SZS status Theorem % 4.82/5.02 (* PROOF-FOUND *) % 4.82/5.02 (* BEGIN-PROOF *) % 4.82/5.02 % SZS output start Proof % 4.82/5.02 1. (mtvisible (c_tptp_spindlecollectormt)) (-. (mtvisible (c_tptp_spindlecollectormt))) ### Axiom % 4.82/5.02 2. (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (-. (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt))) ### Axiom % 4.82/5.02 3. (-. (mtvisible (c_tptp_member2610_mt))) (mtvisible (c_tptp_member2610_mt)) ### Axiom % 4.82/5.02 4. (((mtvisible (c_tptp_spindlecollectormt)) /\ (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt))) => (mtvisible (c_tptp_member2610_mt))) (-. (mtvisible (c_tptp_member2610_mt))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (mtvisible (c_tptp_spindlecollectormt)) ### DisjTree 1 2 3 % 4.82/5.02 5. (All GENLMT, (((mtvisible (c_tptp_spindlecollectormt)) /\ (genlmt (c_tptp_spindlecollectormt) GENLMT)) => (mtvisible GENLMT))) (mtvisible (c_tptp_spindlecollectormt)) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (-. (mtvisible (c_tptp_member2610_mt))) ### All 4 % 4.82/5.02 6. (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) (-. (mtvisible (c_tptp_member2610_mt))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (mtvisible (c_tptp_spindlecollectormt)) ### All 5 % 4.82/5.02 7. (-. ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) zenon_X0) /\ (tptpcol_16_31868 zenon_X0)))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (-. (mtvisible (c_tptp_member2610_mt))) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) ### NotImply 6 % 4.82/5.02 8. (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) (-. (mtvisible (c_tptp_member2610_mt))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) ### NotExists 7 % 4.82/5.02 9. (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (-. (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) ### Axiom % 4.82/5.02 10. (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (-. (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) ### Axiom % 4.82/5.02 11. (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (-. (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868))) ### Axiom % 4.82/5.02 12. (-. (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))) (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)) ### Axiom % 4.82/5.02 13. (((isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) /\ (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868))) => (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))) (-. (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))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) ### DisjTree 10 11 12 % 4.82/5.02 14. (All DEPCOL, (((isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) /\ (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) DEPCOL)) => (isa (f_relationallexistsfn (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) DEPCOL) DEPCOL))) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (-. (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))) ### All 13 % 4.82/5.02 15. (All PRED, (All DEPCOL, (((isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) /\ (relationallexists PRED (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) DEPCOL)) => (isa (f_relationallexistsfn (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) PRED (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) DEPCOL) DEPCOL)))) (-. (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))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) ### All 14 % 4.82/5.02 16. (All INDEPCOL, (All PRED, (All DEPCOL, (((isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) PRED INDEPCOL DEPCOL) DEPCOL))))) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (-. (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))) ### All 15 % 4.82/5.02 17. (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (-. (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))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) ### All 16 % 4.82/5.02 18. (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))) (-. (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)))) ### Axiom % 4.82/5.02 19. (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))) (-. (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)))) ### Axiom % 4.82/5.02 20. (-. ((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))) /\ (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))))) (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))) (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))) ### NotAnd 18 19 % 4.82/5.02 21. (-. ((mtvisible (c_tptp_spindlecollectormt)) => ((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))) /\ (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)))))) (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))) (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))) ### NotImply 20 % 4.82/5.02 22. (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) (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))) (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))) ### NotExists 21 % 4.82/5.02 23. ((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)) => (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)))) (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))) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) ### Imply 17 22 % 4.82/5.02 24. (All X, ((isa X (c_tptpcol_16_31868)) => (tptpcol_16_31868 X))) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) (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))) ### All 23 % 4.82/5.02 25. (((mtvisible (c_tptp_member2610_mt)) /\ (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) => (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)))) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (All X, ((isa X (c_tptpcol_16_31868)) => (tptpcol_16_31868 X))) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (mtvisible (c_tptp_spindlecollectormt)) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) ### DisjTree 6 9 24 % 4.82/5.02 26. (All TERM, (((mtvisible (c_tptp_member2610_mt)) /\ (isa TERM (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) => (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))))) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (mtvisible (c_tptp_spindlecollectormt)) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (All X, ((isa X (c_tptpcol_16_31868)) => (tptpcol_16_31868 X))) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) ### All 25 % 4.82/5.02 27. (-. ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) zenon_X0) /\ (tptpcol_16_31868 zenon_X0)))) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (All X, ((isa X (c_tptpcol_16_31868)) => (tptpcol_16_31868 X))) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) (All TERM, (((mtvisible (c_tptp_member2610_mt)) /\ (isa TERM (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) => (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))))) ### NotImply 26 % 4.82/5.02 28. (All TERM, (((mtvisible (c_tptp_member2610_mt)) /\ (isa TERM (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) => (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))))) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (All X, ((isa X (c_tptpcol_16_31868)) => (tptpcol_16_31868 X))) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868)) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) ### NotExists 27 % 4.82/5.02 29. ((mtvisible (c_tptp_member2610_mt)) => (relationallexists (c_tptp_8_875) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)) (c_tptpcol_16_31868))) (All TERM, (All INDEPCOL, (All PRED, (All DEPCOL, (((isa TERM INDEPCOL) /\ (relationallexists PRED INDEPCOL DEPCOL)) => (isa (f_relationallexistsfn TERM PRED INDEPCOL DEPCOL) DEPCOL)))))) (All X, ((isa X (c_tptpcol_16_31868)) => (tptpcol_16_31868 X))) (isa (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent))) (All TERM, (((mtvisible (c_tptp_member2610_mt)) /\ (isa TERM (f_subcollectionofwithrelationfromtypefn (c_unitvectorinterval) (c_directionoftranslation_throughout) (c_movement_translationevent)))) => (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))))) (genlmt (c_tptp_spindlecollectormt) (c_tptp_member2610_mt)) (All SPECMT, (All GENLMT, (((mtvisible SPECMT) /\ (genlmt SPECMT GENLMT)) => (mtvisible GENLMT)))) (-. (Ex X, ((mtvisible (c_tptp_spindlecollectormt)) => ((tptp_8_875 (c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) X) /\ (tptpcol_16_31868 X))))) ### Imply 8 28 % 4.82/5.02 % SZS output end Proof % 4.82/5.02 (* END-PROOF *) %------------------------------------------------------------------------------