%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM305+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 : 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 : 600s % DateTime : Mon Jul 18 14:41:37 EDT 2022 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM305+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %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 : 600 % 0.12/0.34 % DateTime : Thu Jul 7 02:22:22 EDT 2022 % 0.12/0.34 % CPUTime : % 0.38/0.58 % SZS status Theorem % 0.38/0.58 (* PROOF-FOUND *) % 0.38/0.58 (* BEGIN-PROOF *) % 0.38/0.58 % SZS output start Proof % 0.38/0.58 1. (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (-. (rdn_translate (n2) (rdn_pos (rdnn (n2))))) ### Axiom % 0.38/0.58 2. (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (-. (rdn_translate (n3) (rdn_pos (rdnn (n3))))) ### Axiom % 0.38/0.58 3. (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0)))) ### Axiom % 0.38/0.58 4. (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0)))) ### Axiom % 0.38/0.58 5. (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5))) ### Axiom % 0.38/0.58 6. (((rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) /\ (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) ### DisjTree 3 4 5 % 0.38/0.58 7. (All ID, (((rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn (n5)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5))))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) ### All 6 % 0.38/0.58 8. (All RD, (All ID, (((rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn RD))))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) ### All 7 % 0.38/0.58 9. (All D2, (All RD, (All ID, (((rdn_digit_add (rdnn (n2)) (rdnn D2) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn D2) (rdnn RD)))))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) ### All 8 % 0.38/0.58 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 (n2)) (rdnn (n3)) (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) ### All 9 % 0.38/0.58 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 (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5)))) ### All 10 % 0.38/0.58 12. (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (-. (rdn_translate (n5) (rdn_pos (rdnn (n5))))) ### Axiom % 0.38/0.58 13. (-. (difference (n5) (n2) (n3))) (difference (n5) (n2) (n3)) ### Axiom % 0.38/0.58 14. (sum (n2) (n3) (n5)) (-. (difference (n5) (n2) (n3))) ### Extension/test/minus_entry_point 13 % 0.38/0.58 15. (((rdn_translate (n2) (rdn_pos (rdnn (n2)))) /\ ((rdn_translate (n3) (rdn_pos (rdnn (n3)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) (rdnn (n5))) /\ (rdn_translate (n5) (rdn_pos (rdnn (n5))))))) => (sum (n2) (n3) (n5))) (-. (difference (n5) (n2) (n3))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (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 (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### DisjTree 1 2 11 12 14 % 0.38/0.58 16. (All RDN_Z, (((rdn_translate (n2) (rdn_pos (rdnn (n2)))) /\ ((rdn_translate (n3) (rdn_pos (rdnn (n3)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n3)) RDN_Z) /\ (rdn_translate (n5) (rdn_pos RDN_Z))))) => (sum (n2) (n3) (n5)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (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 (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (-. (difference (n5) (n2) (n3))) ### All 15 % 0.38/0.58 17. (All RDN_Y, (All RDN_Z, (((rdn_translate (n2) (rdn_pos (rdnn (n2)))) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) RDN_Y RDN_Z) /\ (rdn_translate (n5) (rdn_pos RDN_Z))))) => (sum (n2) (n3) (n5))))) (-. (difference (n5) (n2) (n3))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (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 (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### All 16 % 0.38/0.58 18. (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n2) (rdn_pos RDN_X)) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate (n5) (rdn_pos RDN_Z))))) => (sum (n2) (n3) (n5)))))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (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 (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (-. (difference (n5) (n2) (n3))) ### All 17 % 0.38/0.58 19. (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n2) (rdn_pos RDN_X)) /\ ((rdn_translate (n3) (rdn_pos RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_pos RDN_Z))))) => (sum (n2) (n3) Z)))))) (-. (difference (n5) (n2) (n3))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (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 (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### All 18 % 0.38/0.58 20. (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (n2) (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 (n2) Y Z))))))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (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 (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (-. (difference (n5) (n2) (n3))) ### All 19 % 0.38/0.58 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 (n5) (n2) (n3))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n3)) (rdnn (n5)) (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 (n3) (rdn_pos (rdnn (n3)))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) ### All 20 % 0.38/0.58 22. (-. (sum (n2) (n3) (n5))) (rdn_translate (n2) (rdn_pos (rdnn (n2)))) (rdn_translate (n3) (rdn_pos (rdnn (n3)))) (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 (n2)) (rdnn (n3)) (rdnn (n5)) (rdnn (n0))) (rdn_digit_add (rdnn (n5)) (rdnn (n0)) (rdnn (n5)) (rdnn (n0))) (rdn_translate (n5) (rdn_pos (rdnn (n5)))) (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 % 0.38/0.58 % SZS output end Proof % 0.38/0.58 (* END-PROOF *) %------------------------------------------------------------------------------