%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM327+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 : n008.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 14:41:43 EDT 2022 % Result : Theorem 0.71s 0.88s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM327+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jul 6 00:32:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.71/0.88 % SZS status Theorem % 0.71/0.88 (* PROOF-FOUND *) % 0.71/0.88 (* BEGIN-PROOF *) % 0.71/0.88 % SZS output start Proof % 0.71/0.88 1. (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (-. (rdn_translate (n0) (rdn_pos (rdnn (n0))))) ### Axiom % 0.71/0.88 2. (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (-. (rdn_translate (n0) (rdn_pos (rdnn (n0))))) ### Axiom % 0.71/0.88 3. (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) ### Axiom % 0.71/0.88 4. (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) ### Axiom % 0.71/0.88 5. (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) ### Axiom % 0.71/0.88 6. (((rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) /\ (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) ### DisjTree 3 4 5 % 0.71/0.88 7. (All ID, (((rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) ### All 6 % 0.71/0.88 8. (All RD, (All ID, (((rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn RD))))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) ### All 7 % 0.71/0.88 9. (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn (n0)) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn D2) (rdnn RD)))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) ### All 8 % 0.71/0.88 10. (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn D1) (rdnn D2) (rdnn RD))))))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) ### All 9 % 0.71/0.88 11. (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0)))) ### All 10 % 0.71/0.88 12. (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (-. (rdn_translate (n0) (rdn_pos (rdnn (n0))))) ### Axiom % 0.71/0.88 13. (-. (difference (n0) (n0) (n0))) (difference (n0) (n0) (n0)) ### Axiom % 0.71/0.88 14. (sum (n0) (n0) (n0)) (-. (difference (n0) (n0) (n0))) ### Extension/test/minus_entry_point 13 % 0.71/0.88 15. (((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) /\ (rdn_translate (n0) (rdn_pos (rdnn (n0))))))) => (sum (n0) (n0) (n0))) (-. (difference (n0) (n0) (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### DisjTree 1 2 11 12 14 % 0.71/0.88 16. (All RDN_Z, (((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) RDN_Z) /\ (rdn_translate (n0) (rdn_pos RDN_Z))))) => (sum (n0) (n0) (n0)))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (difference (n0) (n0) (n0))) ### All 15 % 0.71/0.88 17. (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_translate (n0) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) RDN_Y RDN_Z) /\ (rdn_translate (n0) (rdn_pos RDN_Z))))) => (sum (n0) (n0) (n0))))) (-. (difference (n0) (n0) (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### All 16 % 0.71/0.88 18. (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos RDN_X)) /\ ((rdn_translate (n0) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate (n0) (rdn_pos RDN_Z))))) => (sum (n0) (n0) (n0)))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (difference (n0) (n0) (n0))) ### All 17 % 0.71/0.88 19. (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos RDN_X)) /\ ((rdn_translate (n0) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_pos RDN_Z))))) => (sum (n0) (n0) Z)))))) (-. (difference (n0) (n0) (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### All 18 % 0.71/0.88 20. (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_pos RDN_Z))))) => (sum (n0) Y Z))))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (-. (difference (n0) (n0) (n0))) ### All 19 % 0.71/0.88 21. (All X, (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate X (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_pos RDN_Z))))) => (sum X Y Z)))))))) (-. (difference (n0) (n0) (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### All 20 % 0.71/0.88 22. (-. (sum (n0) (n0) (n0))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (All X, (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate X (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_pos RDN_Z))))) => (sum X Y Z)))))))) ### Extension/test/not_minus_entry_point 21 % 0.71/0.88 23. (-. (Ex X, (sum X (n0) X))) (All X, (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate X (rdn_pos RDN_X)) /\ ((rdn_translate Y (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_pos RDN_Z))))) => (sum X Y Z)))))))) (rdn_digit_add (rdnn (n0)) (rdnn (n0)) (rdnn (n0)) (rdnn (n0))) (All C, (All D1, (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn D1) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn C) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn C) (rdnn D1) (rdnn D2) (rdnn RD)))))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### NotExists 22 % 0.71/0.88 % SZS output end Proof % 0.71/0.88 (* END-PROOF *) %------------------------------------------------------------------------------