%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM340+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 : n003.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 14:41:47 EDT 2022 % Result : Theorem 0.19s 0.52s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM340+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n003.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 : Tue Jul 5 07:43:55 EDT 2022 % 0.19/0.33 % CPUTime : % 0.19/0.52 % SZS status Theorem % 0.19/0.52 (* PROOF-FOUND *) % 0.19/0.52 (* BEGIN-PROOF *) % 0.19/0.52 % SZS output start Proof % 0.19/0.52 1. (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (-. (rdn_translate (n0) (rdn_pos (rdnn (n0))))) ### Axiom % 0.19/0.52 2. (rdn_translate (n1) (rdn_pos (rdnn (n1)))) (-. (rdn_translate (n1) (rdn_pos (rdnn (n1))))) ### Axiom % 0.19/0.52 3. (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0)))) ### Axiom % 0.19/0.52 4. (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0)))) ### Axiom % 0.19/0.52 5. (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1))) ### Axiom % 0.19/0.52 6. (((rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0))) /\ (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0))) ### DisjTree 3 4 5 % 0.19/0.52 7. (All ID, (((rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn (n1)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1))))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) ### All 6 % 0.19/0.52 8. (All RD, (All ID, (((rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn RD))))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0))) ### All 7 % 0.19/0.52 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 (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) ### All 8 % 0.19/0.52 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 (n1)) (rdnn (n1)))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (rdnn (n0))) ### All 9 % 0.19/0.52 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 (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1)))) ### All 10 % 0.19/0.52 12. (rdn_translate (n1) (rdn_pos (rdnn (n1)))) (-. (rdn_translate (n1) (rdn_pos (rdnn (n1))))) ### Axiom % 0.19/0.52 13. (-. (difference (n1) (n0) (n1))) (difference (n1) (n0) (n1)) ### Axiom % 0.19/0.52 14. (sum (n0) (n1) (n1)) (-. (difference (n1) (n0) (n1))) ### Extension/test/minus_entry_point 13 % 0.19/0.52 15. (((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_translate (n1) (rdn_pos (rdnn (n1)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) (rdnn (n1))) /\ (rdn_translate (n1) (rdn_pos (rdnn (n1))))))) => (sum (n0) (n1) (n1))) (-. (difference (n1) (n0) (n1))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (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 (n1) (rdn_pos (rdnn (n1)))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### DisjTree 1 2 11 12 14 % 0.19/0.52 16. (All RDN_Z, (((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_translate (n1) (rdn_pos (rdnn (n1)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) (rdnn (n1)) RDN_Z) /\ (rdn_translate (n1) (rdn_pos RDN_Z))))) => (sum (n0) (n1) (n1)))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (rdn_translate (n1) (rdn_pos (rdnn (n1)))) (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 (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (difference (n1) (n0) (n1))) ### All 15 % 0.19/0.52 17. (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos (rdnn (n0)))) /\ ((rdn_translate (n1) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n0)) RDN_Y RDN_Z) /\ (rdn_translate (n1) (rdn_pos RDN_Z))))) => (sum (n0) (n1) (n1))))) (-. (difference (n1) (n0) (n1))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (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 (n1) (rdn_pos (rdnn (n1)))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### All 16 % 0.19/0.52 18. (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos RDN_X)) /\ ((rdn_translate (n1) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate (n1) (rdn_pos RDN_Z))))) => (sum (n0) (n1) (n1)))))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (rdn_translate (n1) (rdn_pos (rdnn (n1)))) (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 (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (difference (n1) (n0) (n1))) ### All 17 % 0.19/0.52 19. (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n0) (rdn_pos RDN_X)) /\ ((rdn_translate (n1) (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) (n1) Z)))))) (-. (difference (n1) (n0) (n1))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (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 (n1) (rdn_pos (rdnn (n1)))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### All 18 % 0.19/0.52 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)))) (rdn_translate (n1) (rdn_pos (rdnn (n1)))) (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 (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (-. (difference (n1) (n0) (n1))) ### All 19 % 0.19/0.52 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 (n1) (n0) (n1))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n0)) (rdnn (n1)) (rdnn (n1)) (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 (n1) (rdn_pos (rdnn (n1)))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) ### All 20 % 0.19/0.52 22. (-. (Ex X, (difference X (n0) X))) (rdn_translate (n0) (rdn_pos (rdnn (n0)))) (rdn_translate (n1) (rdn_pos (rdnn (n1)))) (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 (n1)) (rdnn (n1)) (rdnn (n0))) (rdn_digit_add (rdnn (n1)) (rdnn (n0)) (rdnn (n1)) (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)))))))) ### NotExists 21 % 0.19/0.52 % SZS output end Proof % 0.19/0.52 (* END-PROOF *) %------------------------------------------------------------------------------