%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : NUM297+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 : n011.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 14:41:34 EDT 2022 % Result : Theorem 14.64s 14.86s % Output : Proof 14.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : NUM297+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n011.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % 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 : Fri Jul 8 00:05:09 EDT 2022 % 0.12/0.33 % CPUTime : % 14.64/14.86 % SZS status Theorem % 14.64/14.86 (* PROOF-FOUND *) % 14.64/14.86 (* BEGIN-PROOF *) % 14.64/14.86 % SZS output start Proof % 14.64/14.86 1. (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (-. (rdn_positive_less (rdnn (n2)) (rdnn (n3)))) ### Axiom % 14.64/14.86 2. (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (-. (rdn_positive_less (rdnn (n3)) (rdnn (n4)))) ### Axiom % 14.64/14.86 3. (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (-. (rdn_translate (nn4) (rdn_neg (rdnn (n4))))) ### Axiom % 14.64/14.86 4. (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (-. (rdn_translate (nn2) (rdn_neg (rdnn (n2))))) ### Axiom % 14.64/14.86 5. (rdn_positive_less (rdnn (n2)) (rdnn (n4))) (-. (rdn_positive_less (rdnn (n2)) (rdnn (n4)))) ### Axiom % 14.64/14.86 6. (less (nn2) (nn4)) (-. (less (nn2) (nn4))) ### Axiom % 14.64/14.86 7. (less (nn4) (nn2)) (less (nn2) (nn4)) ### Extension/test/less_property 6 % 14.64/14.86 8. (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg (rdnn (n2)))) /\ (rdn_positive_less (rdnn (n2)) (rdnn (n4))))) => (less (nn4) (nn2))) (less (nn2) (nn4)) (rdn_positive_less (rdnn (n2)) (rdnn (n4))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) ### DisjTree 3 4 5 7 % 14.64/14.86 9. (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_positive_less (rdnn (n2)) (rdnn (n4))) (less (nn2) (nn4)) ### All 8 % 14.64/14.86 10. (((rdn_positive_less (rdnn (n2)) (rdnn (n3))) /\ (rdn_positive_less (rdnn (n3)) (rdnn (n4)))) => (rdn_positive_less (rdnn (n2)) (rdnn (n4)))) (less (nn2) (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ### DisjTree 1 2 9 % 14.64/14.86 11. (All Z, (((rdn_positive_less (rdnn (n2)) (rdnn (n3))) /\ (rdn_positive_less (rdnn (n3)) (rdnn Z))) => (rdn_positive_less (rdnn (n2)) (rdnn Z)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (less (nn2) (nn4)) ### All 10 % 14.64/14.86 12. (All Y, (All Z, (((rdn_positive_less (rdnn (n2)) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn (n2)) (rdnn Z))))) (less (nn2) (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ### All 11 % 14.64/14.86 13. (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (less (nn2) (nn4)) ### All 12 % 14.64/14.86 14. (All RDN_X, (All RDN_Y, (((rdn_translate (nn4) (rdn_neg RDN_X)) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less (nn4) (nn2))))) (less (nn2) (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) ### All 13 % 14.64/14.86 15. (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate (nn4) (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less (nn4) Y))))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (less (nn2) (nn4)) ### All 14 % 14.64/14.86 16. (All X, (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate X (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less X Y)))))) (less (nn2) (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) ### All 15 % 14.64/14.86 17. (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (-. (rdn_positive_less (rdnn (n2)) (rdnn (n3)))) ### Axiom % 14.64/14.86 18. (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (-. (rdn_positive_less (rdnn (n3)) (rdnn (n4)))) ### Axiom % 14.64/14.86 19. (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (-. (rdn_translate (nn4) (rdn_neg (rdnn (n4))))) ### Axiom % 14.64/14.86 20. (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (-. (rdn_translate (nn2) (rdn_neg (rdnn (n2))))) ### Axiom % 14.64/14.86 21. (rdn_positive_less (rdnn (n2)) (rdnn (n4))) (-. (rdn_positive_less (rdnn (n2)) (rdnn (n4)))) ### Axiom % 14.64/14.86 22. ((nn2) = (nn4)) ((nn2) != (nn4)) ### Axiom % 14.64/14.86 23. (less (nn4) (nn2)) ((nn2) = (nn4)) ### Extension/test/less_property 22 % 14.64/14.86 24. (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg (rdnn (n2)))) /\ (rdn_positive_less (rdnn (n2)) (rdnn (n4))))) => (less (nn4) (nn2))) ((nn2) = (nn4)) (rdn_positive_less (rdnn (n2)) (rdnn (n4))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) ### DisjTree 19 20 21 23 % 14.64/14.86 25. (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_positive_less (rdnn (n2)) (rdnn (n4))) ((nn2) = (nn4)) ### All 24 % 14.64/14.86 26. (((rdn_positive_less (rdnn (n2)) (rdnn (n3))) /\ (rdn_positive_less (rdnn (n3)) (rdnn (n4)))) => (rdn_positive_less (rdnn (n2)) (rdnn (n4)))) ((nn2) = (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ### DisjTree 17 18 25 % 14.64/14.86 27. (All Z, (((rdn_positive_less (rdnn (n2)) (rdnn (n3))) /\ (rdn_positive_less (rdnn (n3)) (rdnn Z))) => (rdn_positive_less (rdnn (n2)) (rdnn Z)))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ((nn2) = (nn4)) ### All 26 % 14.64/14.86 28. (All Y, (All Z, (((rdn_positive_less (rdnn (n2)) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn (n2)) (rdnn Z))))) ((nn2) = (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) ### All 27 % 14.64/14.86 29. (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (All RDN_Y, (((rdn_translate (nn4) (rdn_neg (rdnn (n4)))) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y (rdnn (n4))))) => (less (nn4) (nn2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ((nn2) = (nn4)) ### All 28 % 14.64/14.86 30. (All RDN_X, (All RDN_Y, (((rdn_translate (nn4) (rdn_neg RDN_X)) /\ ((rdn_translate (nn2) (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less (nn4) (nn2))))) ((nn2) = (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) ### All 29 % 14.64/14.86 31. (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate (nn4) (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less (nn4) Y))))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) ((nn2) = (nn4)) ### All 30 % 14.64/14.86 32. (All X, (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate X (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less X Y)))))) ((nn2) = (nn4)) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) ### All 31 % 14.64/14.86 33. (-. (less (nn4) (nn2))) (All X, (All Y, (All Z, (((rdn_positive_less (rdnn X) (rdnn Y)) /\ (rdn_positive_less (rdnn Y) (rdnn Z))) => (rdn_positive_less (rdnn X) (rdnn Z)))))) (rdn_positive_less (rdnn (n2)) (rdnn (n3))) (rdn_positive_less (rdnn (n3)) (rdnn (n4))) (rdn_translate (nn4) (rdn_neg (rdnn (n4)))) (rdn_translate (nn2) (rdn_neg (rdnn (n2)))) (All X, (All Y, (All RDN_X, (All RDN_Y, (((rdn_translate X (rdn_neg RDN_X)) /\ ((rdn_translate Y (rdn_neg RDN_Y)) /\ (rdn_positive_less RDN_Y RDN_X))) => (less X Y)))))) ### Extension/test/not_less_property 16 32 % 14.64/14.86 % SZS output end Proof % 14.64/14.86 (* END-PROOF *) %------------------------------------------------------------------------------