%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM290+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n017.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 : Mon Jul 18 14:41:32 EDT 2022 % Result : Theorem 5.05s 5.27s % Output : Proof 5.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM290+1 : TPTP v8.1.0. Released v3.1.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n017.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 : 600 % 0.12/0.34 % DateTime : Wed Jul 6 04:09:14 EDT 2022 % 0.19/0.34 % CPUTime : % 5.05/5.27 % SZS status Theorem % 5.05/5.27 (* PROOF-FOUND *) % 5.05/5.27 (* BEGIN-PROOF *) % 5.05/5.27 % SZS output start Proof % 5.05/5.27 1. (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (-. (rdn_translate (n2) (rdn_pos (rdnn (n2))))) ### Axiom % 5.05/5.27 2. (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (-. (rdn_translate (n3) (rdn_pos (rdnn (n3))))) ### Axiom % 5.05/5.27 3. (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (-. (rdn_positive_less (rdnn (n2)) (rdnn (n3)))) ### Axiom % 5.05/5.27 4. (less (n3) (n2)) (-. (less (n3) (n2))) ### Axiom % 5.05/5.27 5. (less (n2) (n3)) (less (n3) (n2)) ### Extension/test/less_property 4 % 5.05/5.27 6. (((rdn_translate (n2) (rdn_pos (rdnn (n2)))) /\ ((rdn_translate (n3) (rdn_pos (rdnn (n3)))) /\ (rdn_positive_less (rdnn (n2)) (rdnn (n3))))) => (less (n2) (n3))) (less (n3) (n2)) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### DisjTree 1 2 3 5 % 5.05/5.27 7. (All RDN_Y, (((rdn_translate (n2) (rdn_pos (rdnn (n2)))) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ (rdn_positive_less (rdnn (n2)) RDN_Y))) => (less (n2) (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (less (n3) (n2)) ### All 6 % 5.05/5.27 8. (All RDN_X, (All RDN_Y, (((rdn_translate (n2) (rdn_pos RDN_X)) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less (n2) (n3))))) (less (n3) (n2)) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### All 7 % 5.05/5.27 9. (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate (n2) (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less (n2) Y))))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (less (n3) (n2)) ### All 8 % 5.05/5.27 10. (All X, (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate X (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less X Y)))))) (less (n3) (n2)) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### All 9 % 5.05/5.27 11. (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (-. (rdn_translate (n3) (rdn_pos (rdnn (n3))))) ### Axiom % 5.05/5.27 12. (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (-. (rdn_translate (n3) (rdn_pos (rdnn (n3))))) ### Axiom % 5.05/5.27 13. ((n3) = (n2)) ((n2) != (n3)) ### Sym(=) % 5.05/5.27 14. ((rdnn (n2)) != (rdnn (n3))) ((n3) = (n2)) ### NotEqual 13 % 5.05/5.27 15. ((rdnn (n3)) != (rdnn (n3))) ### Refl(=) % 5.05/5.27 16. (-. (rdn_positive_less (rdnn (n3)) (rdnn (n3)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ((n3) = (n2)) ### P-NotP 14 15 % 5.05/5.27 17. ((n3) != (n3)) ### NotEqual % 5.05/5.27 18. (less (n3) (n3)) ### Extension/test/less_property 17 % 5.05/5.27 19. (((rdn_translate (n3) (rdn_pos (rdnn (n3)))) /\ ((rdn_translate (n3) (rdn_pos (rdnn (n3)))) /\ (rdn_positive_less (rdnn (n3)) (rdnn (n3))))) => (less (n3) (n3))) ((n3) = (n2)) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) ### DisjTree 11 12 16 18 % 5.05/5.27 20. (All RDN_Y, (((rdn_translate (n3) (rdn_pos (rdnn (n3)))) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ (rdn_positive_less (rdnn (n3)) RDN_Y))) => (less (n3) (n3)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ((n3) = (n2)) ### All 19 % 5.05/5.27 21. (All RDN_X, (All RDN_Y, (((rdn_translate (n3) (rdn_pos RDN_X)) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less (n3) (n3))))) ((n3) = (n2)) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) ### All 20 % 5.05/5.27 22. (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate (n3) (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less (n3) Y))))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ((n3) = (n2)) ### All 21 % 5.05/5.27 23. (All X, (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate X (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less X Y)))))) ((n3) = (n2)) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) ### All 22 % 5.05/5.27 24. (-. (less (n2) (n3))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (All X, (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate X (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ (rdn_positive_less RDN_X RDN_Y))) => (less X Y)))))) ### Extension/test/not_less_property 10 23 % 5.05/5.27 % SZS output end Proof % 5.05/5.27 (* END-PROOF *) %------------------------------------------------------------------------------