%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM315+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 : n024.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 14:41:39 EDT 2022 % Result : Theorem 1.02s 1.18s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM315+1 : TPTP v8.1.0. Released v3.1.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n024.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 10:21:14 EDT 2022 % 0.12/0.33 % CPUTime : % 1.02/1.18 % SZS status Theorem % 1.02/1.18 (* PROOF-FOUND *) % 1.02/1.18 (* BEGIN-PROOF *) % 1.02/1.18 % SZS output start Proof % 1.02/1.18 1. (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (-. (rdn_translate (nn2) (rdn_neg (rdnn (n2))))) ### Axiom % 1.02/1.18 2. (rdn_translate (nn5) (rdn_neg (rdnn (n5)))) (-. (rdn_translate (nn5) (rdn_neg (rdnn (n5))))) ### Axiom % 1.02/1.18 3. (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0)))) ### Axiom % 1.02/1.18 4. (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (-. (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0)))) ### Axiom % 1.02/1.18 5. (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7))) ### Axiom % 1.02/1.18 6. (((rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0))) /\ (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0))) ### DisjTree 3 4 5 % 1.02/1.18 7. (All ID, (((rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn (n7)) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7))))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) ### All 6 % 1.02/1.18 8. (All RD, (All ID, (((rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn ID) (rdnn (n0))) /\ (rdn_digit_add (rdnn ID) (rdnn (n0)) (rdnn RD) (rdnn (n0)))) => (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn RD))))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0))) ### All 7 % 1.02/1.18 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 (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) ### All 8 % 1.02/1.18 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 (n5)) (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (rdnn (n0))) ### All 9 % 1.02/1.18 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 (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (-. (rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7)))) ### All 10 % 1.02/1.18 12. (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (-. (rdn_translate (nn7) (rdn_neg (rdnn (n7))))) ### Axiom % 1.02/1.18 13. (-. (difference (nn7) (nn2) (nn5))) (difference (nn7) (nn2) (nn5)) ### Axiom % 1.02/1.18 14. (sum (nn2) (nn5) (nn7)) (-. (difference (nn7) (nn2) (nn5))) ### Extension/test/minus_entry_point 13 % 1.02/1.18 15. (((rdn_translate (nn2) (rdn_neg (rdnn (n2)))) /\ ((rdn_translate (nn5) (rdn_neg (rdnn (n5)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) (rdnn (n7))) /\ (rdn_translate (nn7) (rdn_neg (rdnn (n7))))))) => (sum (nn2) (nn5) (nn7))) (-. (difference (nn7) (nn2) (nn5))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (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 (nn5) (rdn_neg (rdnn (n5)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ### DisjTree 1 2 11 12 14 % 1.02/1.18 16. (All RDN_Z, (((rdn_translate (nn2) (rdn_neg (rdnn (n2)))) /\ ((rdn_translate (nn5) (rdn_neg (rdnn (n5)))) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) (rdnn (n5)) RDN_Z) /\ (rdn_translate (nn7) (rdn_neg RDN_Z))))) => (sum (nn2) (nn5) (nn7)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn5) (rdn_neg (rdnn (n5)))) (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 (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (-. (difference (nn7) (nn2) (nn5))) ### All 15 % 1.02/1.18 17. (All RDN_Y, (All RDN_Z, (((rdn_translate (nn2) (rdn_neg (rdnn (n2)))) /\ ((rdn_translate (nn5) (rdn_neg RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) (rdnn (n2)) RDN_Y RDN_Z) /\ (rdn_translate (nn7) (rdn_neg RDN_Z))))) => (sum (nn2) (nn5) (nn7))))) (-. (difference (nn7) (nn2) (nn5))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (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 (nn5) (rdn_neg (rdnn (n5)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ### All 16 % 1.02/1.18 18. (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (nn2) (rdn_neg RDN_X)) /\ ((rdn_translate (nn5) (rdn_neg RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate (nn7) (rdn_neg RDN_Z))))) => (sum (nn2) (nn5) (nn7)))))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn5) (rdn_neg (rdnn (n5)))) (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 (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (-. (difference (nn7) (nn2) (nn5))) ### All 17 % 1.02/1.18 19. (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (nn2) (rdn_neg RDN_X)) /\ ((rdn_translate (nn5) (rdn_neg RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_neg RDN_Z))))) => (sum (nn2) (nn5) Z)))))) (-. (difference (nn7) (nn2) (nn5))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (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 (nn5) (rdn_neg (rdnn (n5)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ### All 18 % 1.02/1.18 20. (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate (nn2) (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_neg RDN_Z))))) => (sum (nn2) Y Z))))))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn5) (rdn_neg (rdnn (n5)))) (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 (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (-. (difference (nn7) (nn2) (nn5))) ### All 19 % 1.02/1.18 21. (All X, (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate X (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_neg RDN_Z))))) => (sum X Y Z)))))))) (-. (difference (nn7) (nn2) (nn5))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n2)) (rdnn (n5)) (rdnn (n7)) (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 (nn5) (rdn_neg (rdnn (n5)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ### All 20 % 1.02/1.18 22. (-. (sum (nn2) (nn5) (nn7))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn5) (rdn_neg (rdnn (n5)))) (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 (n5)) (rdnn (n7)) (rdnn (n0))) (rdn_digit_add (rdnn (n7)) (rdnn (n0)) (rdnn (n7)) (rdnn (n0))) (rdn_translate (nn7) (rdn_neg (rdnn (n7)))) (All X, (All Y, (All Z, (All RDN_X, (All RDN_Y, (All RDN_Z, (((rdn_translate X (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ ((rdn_add_with_carry (rdnn (n0)) RDN_X RDN_Y RDN_Z) /\ (rdn_translate Z (rdn_neg RDN_Z))))) => (sum X Y Z)))))))) ### Extension/test/not_minus_entry_point 21 % 1.02/1.18 % SZS output end Proof % 1.02/1.18 (* END-PROOF *) %------------------------------------------------------------------------------