%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWC255+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 : n013.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 22:07:21 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SWC255+1 : TPTP v8.1.0. Released v2.4.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n013.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 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sun Jun 12 03:05:29 EDT 2022 % 0.12/0.32 % CPUTime : % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 1. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 0.18/0.49 2. (-. (singletonP T_0)) (singletonP T_1) (T_0 = T_1) ### P-NotP 1 % 0.18/0.49 3. (-. ((-. (neq T_2 (nil))) \/ ((-. (singletonP T_1)) \/ (singletonP T_0)))) (T_0 = T_1) ### ConjTree 2 % 0.18/0.49 4. (T_2 = T_3) (T_2 != T_3) ### Axiom % 0.18/0.49 5. ((nil) != (nil)) ### NotEqual % 0.18/0.49 6. (-. (neq T_3 (nil))) (neq T_2 (nil)) (T_2 = T_3) ### P-NotP 4 5 % 0.18/0.49 7. (-. (-. (neq T_2 (nil)))) (T_2 = T_3) (-. (neq T_3 (nil))) ### NotNot 6 % 0.18/0.49 8. (-. ((-. (neq T_2 (nil))) \/ (neq T_3 (nil)))) (T_2 = T_3) ### NotOr 7 % 0.18/0.49 9. (-. (((-. (neq T_2 (nil))) \/ ((-. (singletonP T_1)) \/ (singletonP T_0))) /\ ((-. (neq T_2 (nil))) \/ (neq T_3 (nil))))) (T_2 = T_3) (T_0 = T_1) ### NotAnd 3 8 % 0.18/0.49 10. (-. ((ssList T_3) => ((T_2 != T_3) \/ ((T_0 != T_1) \/ (((-. (neq T_2 (nil))) \/ ((-. (singletonP T_1)) \/ (singletonP T_0))) /\ ((-. (neq T_2 (nil))) \/ (neq T_3 (nil)))))))) ### ConjTree 9 % 0.18/0.49 11. (-. (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ (((-. (neq T_2 (nil))) \/ ((-. (singletonP T_1)) \/ (singletonP T_0))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil))))))))) ### NotAllEx 10 % 0.18/0.49 12. (-. ((ssList T_1) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != T_1) \/ (((-. (neq T_2 (nil))) \/ ((-. (singletonP T_1)) \/ (singletonP T_0))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil)))))))))) ### NotImply 11 % 0.18/0.49 13. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ (((-. (neq T_2 (nil))) \/ ((-. (singletonP W)) \/ (singletonP T_0))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil))))))))))) ### NotAllEx 12 % 0.18/0.49 14. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_2 != X) \/ ((T_0 != W) \/ (((-. (neq T_2 (nil))) \/ ((-. (singletonP W)) \/ (singletonP T_0))) /\ ((-. (neq T_2 (nil))) \/ (neq X (nil)))))))))))) ### NotImply 13 % 0.18/0.49 15. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ (((-. (neq V (nil))) \/ ((-. (singletonP W)) \/ (singletonP T_0))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))) ### NotAllEx 14 % 0.18/0.49 16. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_0 != W) \/ (((-. (neq V (nil))) \/ ((-. (singletonP W)) \/ (singletonP T_0))) /\ ((-. (neq V (nil))) \/ (neq X (nil)))))))))))))) ### NotImply 15 % 0.18/0.49 17. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ (((-. (neq V (nil))) \/ ((-. (singletonP W)) \/ (singletonP U))) /\ ((-. (neq V (nil))) \/ (neq X (nil))))))))))))))) ### NotAllEx 16 % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) %------------------------------------------------------------------------------