%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWC103+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 : n016.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 22:06:35 EDT 2022 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWC103+1 : TPTP v8.1.0. Released v2.4.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jun 12 07:39:12 EDT 2022 % 0.13/0.35 % CPUTime : % 0.38/0.56 % SZS status Theorem % 0.38/0.56 (* PROOF-FOUND *) % 0.38/0.56 (* BEGIN-PROOF *) % 0.38/0.56 % SZS output start Proof % 0.38/0.56 1. (T_0 = T_1) (T_0 != T_1) ### Axiom % 0.38/0.56 2. ((nil) != (nil)) ### NotEqual % 0.38/0.56 3. (-. (neq T_1 (nil))) (neq T_0 (nil)) (T_0 = T_1) ### P-NotP 1 2 % 0.38/0.56 4. (T_2 = T_3) (T_3 != T_2) ### Sym(=) % 0.38/0.56 5. (-. (neq T_2 (nil))) (neq T_3 (nil)) (T_2 = T_3) ### P-NotP 4 2 % 0.38/0.56 6. (-. (-. (neq T_3 (nil)))) (T_2 = T_3) (-. (neq T_2 (nil))) ### NotNot 5 % 0.38/0.56 7. (-. ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3)))) (-. (neq T_2 (nil))) (T_2 = T_3) ### NotOr 6 % 0.38/0.56 8. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3))))) (T_2 = T_3) (-. (neq T_2 (nil))) (T_0 = T_1) (neq T_0 (nil)) ### NotAnd 3 7 % 0.38/0.56 9. (T_0 = T_1) (T_1 != T_0) ### Sym(=) % 0.38/0.56 10. (T_2 = T_3) (T_3 != T_2) ### Sym(=) % 0.38/0.56 11. (-. (frontsegP T_0 T_2)) (frontsegP T_1 T_3) (T_2 = T_3) (T_0 = T_1) ### P-NotP 9 10 % 0.38/0.56 12. (-. (-. (frontsegP T_1 T_3))) (T_0 = T_1) (T_2 = T_3) (-. (frontsegP T_0 T_2)) ### NotNot 11 % 0.38/0.56 13. (-. ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3)))) (-. (frontsegP T_0 T_2)) (T_2 = T_3) (T_0 = T_1) ### NotOr 12 % 0.38/0.56 14. (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3))))) (T_2 = T_3) (-. (frontsegP T_0 T_2)) (T_0 = T_1) (neq T_0 (nil)) ### NotAnd 3 13 % 0.38/0.56 15. (-. ((neq T_2 (nil)) /\ (frontsegP T_0 T_2))) (neq T_0 (nil)) (T_0 = T_1) (T_2 = T_3) (-. ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3))))) ### NotAnd 8 14 % 0.38/0.56 16. (-. ((ssList T_1) => ((T_0 != T_1) \/ ((T_2 != T_3) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != T_3) /\ ((nil) = T_1)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq T_1 (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP T_1 T_3))))))))))) ### ConjTree 15 % 0.38/0.56 17. (-. (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_3) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != T_3) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP X T_3)))))))))))) ### NotAllEx 16 % 0.38/0.56 18. (-. ((ssList T_3) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != T_3) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != T_3) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq T_3 (nil))) \/ (-. (frontsegP X T_3))))))))))))) ### NotImply 17 % 0.38/0.56 19. (-. (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W)))))))))))))) ### NotAllEx 18 % 0.38/0.56 20. (-. ((ssList T_0) => (All W, ((ssList W) => (All X, ((ssList X) => ((T_0 != X) \/ ((T_2 != W) \/ ((-. (neq T_0 (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP T_0 T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W))))))))))))))) ### NotImply 19 % 0.38/0.56 21. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((-. (neq V (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP V T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W)))))))))))))))) ### NotAllEx 20 % 0.38/0.56 22. (-. ((ssList T_2) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((T_2 != W) \/ ((-. (neq V (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq T_2 (nil)) /\ (frontsegP V T_2)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W))))))))))))))))) ### NotImply 21 % 0.38/0.56 23. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => ((V != X) \/ ((U != W) \/ ((-. (neq V (nil))) \/ ((((nil) != W) /\ ((nil) = X)) \/ (((neq U (nil)) /\ (frontsegP V U)) \/ ((neq X (nil)) /\ ((-. (neq W (nil))) \/ (-. (frontsegP X W)))))))))))))))))) ### NotAllEx 22 % 0.38/0.56 % SZS output end Proof % 0.38/0.56 (* END-PROOF *) %------------------------------------------------------------------------------