%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n025.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 : Wed Jul 20 21:51:11 EDT 2022 % Result : Theorem 0.42s 0.60s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.14/0.13 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0. % 0.14/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n025.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jun 14 17:10:55 EDT 2022 % 0.14/0.35 % CPUTime : % 0.42/0.60 % SZS status Theorem % 0.42/0.60 (* PROOF-FOUND *) % 0.42/0.60 (* BEGIN-PROOF *) % 0.42/0.60 % SZS output start Proof % 0.42/0.60 1. (-. (check_cpq (triple T_0 T_1 T_2))) (check_cpq (triple T_0 T_1 T_2)) ### Axiom % 0.42/0.60 2. (-. (-. (check_cpq (triple T_0 T_1 T_2)))) (-. (check_cpq (triple T_0 T_1 T_2))) ### NotNot 1 % 0.42/0.60 3. (-. ((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2))))) (-. (check_cpq (triple T_0 T_1 T_2))) ### NotOr 2 % 0.42/0.60 4. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (-. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2)))) ### Axiom % 0.42/0.60 5. (ok (im_succ_cpq (triple T_0 T_1 T_2))) (-. (ok (im_succ_cpq (triple T_0 T_1 T_2)))) ### Axiom % 0.42/0.60 6. (((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2)))) \/ (-. (ok (im_succ_cpq (triple T_0 T_1 T_2)))))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (-. (check_cpq (triple T_0 T_1 T_2))) ### DisjTree 3 4 5 % 0.42/0.60 7. (All W, (((-. (check_cpq (triple T_0 T_1 W))) \/ (-. (ok (triple T_0 T_1 W)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 T_1 W)))) \/ (-. (ok (im_succ_cpq (triple T_0 T_1 W))))))) (-. (check_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) ### All 6 % 0.42/0.60 8. (All V, (All W, (((-. (check_cpq (triple T_0 V W))) \/ (-. (ok (triple T_0 V W)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 V W)))) \/ (-. (ok (im_succ_cpq (triple T_0 V W)))))))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (-. (check_cpq (triple T_0 T_1 T_2))) ### All 7 % 0.42/0.60 9. (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) (-. (check_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) ### All 8 % 0.42/0.60 10. (-. (ok (triple T_0 T_1 T_2))) (ok (triple T_0 T_1 T_2)) ### Axiom % 0.42/0.60 11. (-. (-. (ok (triple T_0 T_1 T_2)))) (-. (ok (triple T_0 T_1 T_2))) ### NotNot 10 % 0.42/0.60 12. (-. ((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2))))) (-. (ok (triple T_0 T_1 T_2))) ### NotOr 11 % 0.42/0.60 13. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (-. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2)))) ### Axiom % 0.42/0.60 14. (ok (im_succ_cpq (triple T_0 T_1 T_2))) (-. (ok (im_succ_cpq (triple T_0 T_1 T_2)))) ### Axiom % 0.42/0.60 15. (((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2)))) \/ (-. (ok (im_succ_cpq (triple T_0 T_1 T_2)))))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (-. (ok (triple T_0 T_1 T_2))) ### DisjTree 12 13 14 % 0.42/0.60 16. (All W, (((-. (check_cpq (triple T_0 T_1 W))) \/ (-. (ok (triple T_0 T_1 W)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 T_1 W)))) \/ (-. (ok (im_succ_cpq (triple T_0 T_1 W))))))) (-. (ok (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) ### All 15 % 0.42/0.60 17. (All V, (All W, (((-. (check_cpq (triple T_0 V W))) \/ (-. (ok (triple T_0 V W)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 V W)))) \/ (-. (ok (im_succ_cpq (triple T_0 V W)))))))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (-. (ok (triple T_0 T_1 T_2))) ### All 16 % 0.42/0.60 18. (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) (-. (ok (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) ### All 17 % 0.42/0.60 19. ((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2)))) (ok (im_succ_cpq (triple T_0 T_1 T_2))) (check_cpq (im_succ_cpq (triple T_0 T_1 T_2))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### Or 9 18 % 0.42/0.60 20. (-. ((succ_cpq (triple T_3 T_4 T_5) (triple T_0 T_1 T_2)) => (((-. (check_cpq (triple T_0 T_1 T_2))) \/ (-. (ok (triple T_0 T_1 T_2)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 T_1 T_2)))) \/ (-. (ok (im_succ_cpq (triple T_0 T_1 T_2)))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### ConjTree 19 % 0.42/0.60 21. (-. (All Z, ((succ_cpq (triple T_3 T_4 T_5) (triple T_0 T_1 Z)) => (((-. (check_cpq (triple T_0 T_1 Z))) \/ (-. (ok (triple T_0 T_1 Z)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 T_1 Z)))) \/ (-. (ok (im_succ_cpq (triple T_0 T_1 Z))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### NotAllEx 20 % 0.42/0.60 22. (-. (All Y, (All Z, ((succ_cpq (triple T_3 T_4 T_5) (triple T_0 Y Z)) => (((-. (check_cpq (triple T_0 Y Z))) \/ (-. (ok (triple T_0 Y Z)))) => ((-. (check_cpq (im_succ_cpq (triple T_0 Y Z)))) \/ (-. (ok (im_succ_cpq (triple T_0 Y Z)))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### NotAllEx 21 % 0.42/0.60 23. (-. (All X, (All Y, (All Z, ((succ_cpq (triple T_3 T_4 T_5) (triple X Y Z)) => (((-. (check_cpq (triple X Y Z))) \/ (-. (ok (triple X Y Z)))) => ((-. (check_cpq (im_succ_cpq (triple X Y Z)))) \/ (-. (ok (im_succ_cpq (triple X Y Z))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### NotAllEx 22 % 0.42/0.60 24. (-. (All W, (All X, (All Y, (All Z, ((succ_cpq (triple T_3 T_4 W) (triple X Y Z)) => (((-. (check_cpq (triple X Y Z))) \/ (-. (ok (triple X Y Z)))) => ((-. (check_cpq (im_succ_cpq (triple X Y Z)))) \/ (-. (ok (im_succ_cpq (triple X Y Z)))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### NotAllEx 23 % 0.42/0.60 25. (-. (All V, (All W, (All X, (All Y, (All Z, ((succ_cpq (triple T_3 V W) (triple X Y Z)) => (((-. (check_cpq (triple X Y Z))) \/ (-. (ok (triple X Y Z)))) => ((-. (check_cpq (im_succ_cpq (triple X Y Z)))) \/ (-. (ok (im_succ_cpq (triple X Y Z))))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### NotAllEx 24 % 0.42/0.60 26. (-. (All U, (All V, (All W, (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => (((-. (check_cpq (triple X Y Z))) \/ (-. (ok (triple X Y Z)))) => ((-. (check_cpq (im_succ_cpq (triple X Y Z)))) \/ (-. (ok (im_succ_cpq (triple X Y Z)))))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### NotAllEx 25 % 0.42/0.60 27. (-. (All X1, (All X2, (All X3, (((-. (check_cpq (triple X1 X2 X3))) \/ (-. (ok (triple X1 X2 X3)))) => (All X4, (All X5, (All X6, ((succ_cpq (triple X1 X2 X3) (triple X4 X5 X6)) => ((-. (ok (triple X4 X5 X6))) \/ (-. (check_cpq (triple X4 X5 X6))))))))))))) (All X1, (All X2, (All X3, (((-. (check_cpq (triple X1 X2 X3))) \/ (-. (ok (triple X1 X2 X3)))) => (All X4, (All X5, (All X6, ((succ_cpq (triple X1 X2 X3) (triple X4 X5 X6)) => ((-. (ok (triple X4 X5 X6))) \/ (-. (check_cpq (triple X4 X5 X6)))))))))))) ### Axiom % 0.42/0.60 28. ((All U, (All V, (All W, (All X, (All Y, (All Z, ((succ_cpq (triple U V W) (triple X Y Z)) => (((-. (check_cpq (triple X Y Z))) \/ (-. (ok (triple X Y Z)))) => ((-. (check_cpq (im_succ_cpq (triple X Y Z)))) \/ (-. (ok (im_succ_cpq (triple X Y Z))))))))))))) => (All X1, (All X2, (All X3, (((-. (check_cpq (triple X1 X2 X3))) \/ (-. (ok (triple X1 X2 X3)))) => (All X4, (All X5, (All X6, ((succ_cpq (triple X1 X2 X3) (triple X4 X5 X6)) => ((-. (ok (triple X4 X5 X6))) \/ (-. (check_cpq (triple X4 X5 X6))))))))))))) (-. (All X1, (All X2, (All X3, (((-. (check_cpq (triple X1 X2 X3))) \/ (-. (ok (triple X1 X2 X3)))) => (All X4, (All X5, (All X6, ((succ_cpq (triple X1 X2 X3) (triple X4 X5 X6)) => ((-. (ok (triple X4 X5 X6))) \/ (-. (check_cpq (triple X4 X5 X6))))))))))))) (All U, (All V, (All W, (((-. (check_cpq (triple U V W))) \/ (-. (ok (triple U V W)))) => ((-. (check_cpq (im_succ_cpq (triple U V W)))) \/ (-. (ok (im_succ_cpq (triple U V W))))))))) ### Imply 26 27 % 0.42/0.60 % SZS output end Proof % 0.42/0.60 (* END-PROOF *) %------------------------------------------------------------------------------