%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWC349+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 : n010.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 22:07:49 EDT 2022 % Result : Theorem 4.46s 4.63s % Output : Proof 4.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWC349+1 : TPTP v8.1.0. Released v2.4.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n010.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jun 12 22:27:40 EDT 2022 % 0.12/0.34 % CPUTime : % 4.46/4.63 % SZS status Theorem % 4.46/4.63 (* PROOF-FOUND *) % 4.46/4.63 (* BEGIN-PROOF *) % 4.46/4.63 % SZS output start Proof % 4.46/4.63 1. (ssList T_0) (-. (ssList T_0)) ### Axiom % 4.46/4.63 2. ((nil) != (nil)) ### NotEqual % 4.46/4.63 3. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 4.46/4.63 4. ((nil) != T_0) ((nil) = T_1) (T_0 = T_1) ### Trans 2 3 % 4.46/4.63 5. (ssList T_2) (-. (ssList T_2)) ### Axiom % 4.46/4.63 6. (ssList (nil)) (-. (ssList (nil))) ### Axiom % 4.46/4.63 7. (ssList T_0) (-. (ssList T_0)) ### Axiom % 4.46/4.63 8. (ssList T_2) (-. (ssList T_2)) ### Axiom % 4.46/4.63 9. (-. (frontsegP T_2 (nil))) (frontsegP T_2 (nil)) ### Axiom % 4.46/4.63 10. ((ssList T_2) => (frontsegP T_2 (nil))) (-. (frontsegP T_2 (nil))) (ssList T_2) ### Imply 8 9 % 4.46/4.63 11. (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_2) (-. (frontsegP T_2 (nil))) ### All 10 % 4.46/4.63 12. (frontsegP (nil) T_0) (-. (frontsegP (nil) T_0)) ### Axiom % 4.46/4.63 13. (-. (frontsegP T_2 T_0)) (frontsegP T_2 T_0) ### Axiom % 4.46/4.63 14. ((ssList T_0) => (((frontsegP T_2 (nil)) /\ (frontsegP (nil) T_0)) => (frontsegP T_2 T_0))) (-. (frontsegP T_2 T_0)) (frontsegP (nil) T_0) (ssList T_2) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) ### DisjTree 7 11 12 13 % 4.46/4.63 15. (All W, ((ssList W) => (((frontsegP T_2 (nil)) /\ (frontsegP (nil) W)) => (frontsegP T_2 W)))) (ssList T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_2) (frontsegP (nil) T_0) (-. (frontsegP T_2 T_0)) ### All 14 % 4.46/4.63 16. ((ssList (nil)) => (All W, ((ssList W) => (((frontsegP T_2 (nil)) /\ (frontsegP (nil) W)) => (frontsegP T_2 W))))) (-. (frontsegP T_2 T_0)) (frontsegP (nil) T_0) (ssList T_2) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) (ssList (nil)) ### Imply 6 15 % 4.46/4.63 17. (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP T_2 V) /\ (frontsegP V W)) => (frontsegP T_2 W)))))) (ssList (nil)) (ssList T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_2) (frontsegP (nil) T_0) (-. (frontsegP T_2 T_0)) ### All 16 % 4.46/4.63 18. ((ssList T_2) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP T_2 V) /\ (frontsegP V W)) => (frontsegP T_2 W))))))) (-. (frontsegP T_2 T_0)) (frontsegP (nil) T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) (ssList (nil)) (ssList T_2) ### Imply 5 17 % 4.46/4.63 19. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (ssList T_2) (ssList (nil)) (ssList T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (frontsegP (nil) T_0) (-. (frontsegP T_2 T_0)) ### All 18 % 4.46/4.63 20. ((frontsegP (nil) T_0) <=> ((nil) = T_0)) (-. (frontsegP T_2 T_0)) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) (ssList (nil)) (ssList T_2) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (T_0 = T_1) ((nil) = T_1) ### Equiv 4 19 % 4.46/4.63 21. ((ssList T_0) => ((frontsegP (nil) T_0) <=> ((nil) = T_0))) ((nil) = T_1) (T_0 = T_1) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (ssList T_2) (ssList (nil)) (All U, ((ssList U) => (frontsegP U (nil)))) (-. (frontsegP T_2 T_0)) (ssList T_0) ### Imply 1 20 % 4.46/4.63 22. (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) (ssList T_0) (-. (frontsegP T_2 T_0)) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList (nil)) (ssList T_2) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (T_0 = T_1) ((nil) = T_1) ### All 21 % 4.46/4.63 23. (-. ((ssList T_3) => (((nil) != T_1) \/ ((T_2 != T_3) \/ ((T_0 != T_1) \/ ((-. (neq T_2 (nil))) \/ (frontsegP T_2 T_0))))))) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (ssList T_2) (ssList (nil)) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) ### ConjTree 22 % 4.46/4.63 24. (-. (All X, ((ssList X) => (((nil) != T_1) \/ ((T_2 != X) \/ ((T_0 != T_1) \/ ((-. (neq T_2 (nil))) \/ (frontsegP T_2 T_0)))))))) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) (ssList T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList (nil)) (ssList T_2) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) ### NotAllEx 23 % 4.46/4.63 25. (-. ((ssList T_1) => (All X, ((ssList X) => (((nil) != T_1) \/ ((T_2 != X) \/ ((T_0 != T_1) \/ ((-. (neq T_2 (nil))) \/ (frontsegP T_2 T_0))))))))) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (ssList T_2) (ssList (nil)) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) ### NotImply 24 % 4.46/4.63 26. (-. (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != W) \/ ((T_2 != X) \/ ((T_0 != W) \/ ((-. (neq T_2 (nil))) \/ (frontsegP T_2 T_0)))))))))) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) (ssList T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList (nil)) (ssList T_2) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) ### NotAllEx 25 % 4.46/4.63 27. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != W) \/ ((T_2 != X) \/ ((T_0 != W) \/ ((-. (neq T_2 (nil))) \/ (frontsegP T_2 T_0))))))))))) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (ssList (nil)) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList T_0) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) ### NotImply 26 % 4.46/4.63 28. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != W) \/ ((V != X) \/ ((T_0 != W) \/ ((-. (neq V (nil))) \/ (frontsegP V T_0)))))))))))) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) (ssList T_0) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList (nil)) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) ### NotAllEx 27 % 4.46/4.63 29. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != W) \/ ((V != X) \/ ((T_0 != W) \/ ((-. (neq V (nil))) \/ (frontsegP V T_0))))))))))))) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) (ssList (nil)) (All U, ((ssList U) => (frontsegP U (nil)))) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) ### NotImply 28 % 4.46/4.63 30. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != W) \/ ((V != X) \/ ((U != W) \/ ((-. (neq V (nil))) \/ (frontsegP V U)))))))))))))) (All U, ((ssList U) => ((frontsegP (nil) U) <=> ((nil) = U)))) (All U, ((ssList U) => (frontsegP U (nil)))) (ssList (nil)) (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (((frontsegP U V) /\ (frontsegP V W)) => (frontsegP U W)))))))) ### NotAllEx 29 % 4.46/4.63 % SZS output end Proof % 4.46/4.63 (* END-PROOF *) %------------------------------------------------------------------------------