%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWC026+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 : n020.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 22:06:12 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0. % 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n020.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 : Sat Jun 11 23:43:35 EDT 2022 % 0.12/0.33 % CPUTime : % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 1. ((nil) != (nil)) ### NotEqual % 0.20/0.50 2. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 0.20/0.50 3. ((nil) != T_0) ((nil) = T_1) (T_0 = T_1) ### Trans 1 2 % 0.20/0.50 4. (-. (((nil) != T_2) \/ ((nil) = T_0))) (T_0 = T_1) ((nil) = T_1) ### NotOr 3 % 0.20/0.50 5. (T_2 = T_3) (T_3 != T_2) ### Sym(=) % 0.20/0.50 6. ((nil) != T_2) ((nil) = T_3) (T_2 = T_3) ### Trans 1 5 % 0.20/0.50 7. (-. (((nil) != T_0) \/ ((nil) = T_2))) (T_2 = T_3) ((nil) = T_3) ### NotOr 6 % 0.20/0.50 8. (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) ((nil) = T_3) (T_2 = T_3) ((nil) = T_1) (T_0 = T_1) ### NotAnd 4 7 % 0.20/0.50 9. (-. ((nil) != T_1)) (T_0 = T_1) (T_2 = T_3) ((nil) = T_3) (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) ### NotNot 8 % 0.20/0.50 10. ((nil) = T_3) ((nil) != T_3) ### Axiom % 0.20/0.50 11. (-. (((nil) != T_1) /\ ((nil) = T_3))) (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) ((nil) = T_3) (T_2 = T_3) (T_0 = T_1) ### NotAnd 9 10 % 0.20/0.50 12. (-. ((nil) != T_3)) (T_0 = T_1) (T_2 = T_3) (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) (-. (((nil) != T_1) /\ ((nil) = T_3))) ### NotNot 11 % 0.20/0.50 13. ((nil) != T_1) ((nil) = T_1) ### Axiom % 0.20/0.50 14. (-. ((nil) != T_1)) ((nil) != T_1) ### NotNot 13 % 0.20/0.50 15. ((nil) = T_2) ((nil) != T_2) ### Axiom % 0.20/0.50 16. (T_3 != T_3) ### Refl(=) % 0.20/0.50 17. ((nil) != T_3) (T_2 = T_3) ((nil) = T_2) ### Trans 15 16 % 0.20/0.50 18. (-. ((nil) != T_2)) (T_2 = T_3) ((nil) != T_3) ### NotNot 17 % 0.20/0.50 19. (-. (((nil) != T_2) \/ ((nil) = T_0))) ((nil) != T_3) (T_2 = T_3) ### NotOr 18 % 0.20/0.50 20. ((nil) = T_0) ((nil) != T_0) ### Axiom % 0.20/0.50 21. (T_1 != T_1) ### Refl(=) % 0.20/0.50 22. ((nil) != T_1) (T_0 = T_1) ((nil) = T_0) ### Trans 20 21 % 0.20/0.50 23. (-. ((nil) != T_0)) (T_0 = T_1) ((nil) != T_1) ### NotNot 22 % 0.20/0.50 24. (-. (((nil) != T_0) \/ ((nil) = T_2))) ((nil) != T_1) (T_0 = T_1) ### NotOr 23 % 0.20/0.50 25. (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) (T_0 = T_1) ((nil) != T_1) (T_2 = T_3) ((nil) != T_3) ### NotAnd 19 24 % 0.20/0.50 26. (-. (((nil) != T_1) /\ ((nil) = T_3))) (T_2 = T_3) (T_0 = T_1) (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) ((nil) != T_1) ### NotAnd 14 25 % 0.20/0.50 27. (-. (((nil) != T_3) /\ ((nil) = T_1))) (-. (((nil) != T_1) /\ ((nil) = T_3))) (-. ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))) (T_2 = T_3) (T_0 = T_1) ### NotAnd 12 26 % 0.20/0.50 28. (-. ((ssList T_3) => ((T_2 != T_3) \/ ((T_0 != T_1) \/ ((((nil) != T_3) /\ ((nil) = T_1)) \/ ((((nil) != T_1) /\ ((nil) = T_3)) \/ ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2))))))))) ### ConjTree 27 % 0.20/0.50 29. (-. (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ ((((nil) != X) /\ ((nil) = T_1)) \/ ((((nil) != T_1) /\ ((nil) = X)) \/ ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))))))))) ### NotAllEx 28 % 0.20/0.50 30. (-. ((ssList T_1) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ ((((nil) != X) /\ ((nil) = T_1)) \/ ((((nil) != T_1) /\ ((nil) = X)) \/ ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2))))))))))) ### NotImply 29 % 0.20/0.50 31. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ ((((nil) != X) /\ ((nil) = W)) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2)))))))))))) ### NotAllEx 30 % 0.20/0.50 32. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ ((((nil) != X) /\ ((nil) = W)) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) != T_2) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = T_2))))))))))))) ### NotImply 31 % 0.20/0.50 33. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ ((((nil) != X) /\ ((nil) = W)) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) != V) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = V)))))))))))))) ### NotAllEx 32 % 0.20/0.50 34. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ ((((nil) != X) /\ ((nil) = W)) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) != V) \/ ((nil) = T_0)) /\ (((nil) != T_0) \/ ((nil) = V))))))))))))))) ### NotImply 33 % 0.20/0.50 35. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ ((((nil) != X) /\ ((nil) = W)) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((((nil) != V) \/ ((nil) = U)) /\ (((nil) != U) \/ ((nil) = V)))))))))))))))) ### NotAllEx 34 % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) %------------------------------------------------------------------------------