%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWC097+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n006.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 : Tue Jul 19 22:06:33 EDT 2022 % Result : Theorem 1.36s 1.54s % Output : Proof 1.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SWC097+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n006.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Sun Jun 12 23:48:27 EDT 2022 % 0.11/0.33 % CPUTime : % 1.36/1.54 % SZS status Theorem % 1.36/1.54 (* PROOF-FOUND *) % 1.36/1.54 (* BEGIN-PROOF *) % 1.36/1.54 % SZS output start Proof % 1.36/1.54 1. (ssItem T_0) (-. (ssItem T_0)) ### Axiom % 1.36/1.54 2. (T_1 = T_2) (T_1 != T_2) ### Axiom % 1.36/1.54 3. ((cons T_0 (nil)) != (cons T_0 (nil))) ### Refl(=) % 1.36/1.54 4. ((app T_1 (cons T_0 (nil))) != (app T_2 (cons T_0 (nil)))) (T_1 = T_2) ### NotEqual 2 3 % 1.36/1.54 5. (T_3 = T_4) (T_4 != T_3) ### Sym(=) % 1.36/1.54 6. ((app T_1 (cons T_0 (nil))) != T_3) ((app T_2 (cons T_0 (nil))) = T_4) (T_3 = T_4) (T_1 = T_2) ### Trans 4 5 % 1.36/1.54 7. (-. ((ssItem T_0) /\ ((app T_1 (cons T_0 (nil))) = T_3))) (T_1 = T_2) (T_3 = T_4) ((app T_2 (cons T_0 (nil))) = T_4) (ssItem T_0) ### NotAnd 1 6 % 1.36/1.54 8. (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) (ssItem T_0) ((app T_2 (cons T_0 (nil))) = T_4) (T_3 = T_4) (T_1 = T_2) ### NotExists 7 % 1.36/1.54 9. (-. ((app T_2 (cons T_0 (nil))) != T_4)) (T_1 = T_2) (T_3 = T_4) (ssItem T_0) (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) ### NotNot 8 % 1.36/1.54 10. (-. ((ssItem T_0) => ((app T_2 (cons T_0 (nil))) != T_4))) (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) (T_3 = T_4) (T_1 = T_2) ### NotImply 9 % 1.36/1.54 11. (-. (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4)))) (T_1 = T_2) (T_3 = T_4) (-. (Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3)))) ### NotAllEx 10 % 1.36/1.54 12. (-. ((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4)))))) (T_3 = T_4) (T_1 = T_2) ### ConjTree 11 % 1.36/1.54 13. (T_3 = T_4) (T_3 != T_4) ### Axiom % 1.36/1.54 14. ((nil) != (nil)) ### NotEqual % 1.36/1.54 15. (-. (neq T_4 (nil))) (neq T_3 (nil)) (T_3 = T_4) ### P-NotP 13 14 % 1.36/1.54 16. (-. (-. (neq T_3 (nil)))) (T_3 = T_4) (-. (neq T_4 (nil))) ### NotNot 15 % 1.36/1.54 17. (-. ((-. (neq T_3 (nil))) \/ (neq T_4 (nil)))) (T_3 = T_4) ### NotOr 16 % 1.36/1.54 18. (-. (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4))))) /\ ((-. (neq T_3 (nil))) \/ (neq T_4 (nil))))) (T_1 = T_2) (T_3 = T_4) ### NotAnd 12 17 % 1.36/1.54 19. (-. ((ssList T_4) => ((T_3 != T_4) \/ ((T_1 != T_2) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != T_4))))) /\ ((-. (neq T_3 (nil))) \/ (neq T_4 (nil)))))))) ### ConjTree 18 % 1.36/1.54 20. (-. (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != T_2) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil))))))))) ### NotAllEx 19 % 1.36/1.54 21. (-. ((ssList T_2) => (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != T_2) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app T_2 (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil)))))))))) ### NotImply 20 % 1.36/1.54 22. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != W) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil))))))))))) ### NotAllEx 21 % 1.36/1.54 23. (-. ((ssList T_3) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_3 != X) \/ ((T_1 != W) \/ (((-. (neq T_3 (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = T_3))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq T_3 (nil))) \/ (neq X (nil)))))))))))) ### NotImply 22 % 1.36/1.54 24. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_1 != W) \/ (((-. (neq V (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = V))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))) ### NotAllEx 23 % 1.36/1.54 25. (-. ((ssList T_1) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_1 != W) \/ (((-. (neq V (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app T_1 (cons Y (nil))) = V))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq V (nil))) \/ (neq X (nil)))))))))))))) ### NotImply 24 % 1.36/1.54 26. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ (((-. (neq V (nil))) \/ ((Ex Y, ((ssItem Y) /\ ((app U (cons Y (nil))) = V))) \/ (All Z, ((ssItem Z) => ((app W (cons Z (nil))) != X))))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))))) ### NotAllEx 25 % 1.36/1.54 % SZS output end Proof % 1.36/1.54 (* END-PROOF *) %------------------------------------------------------------------------------