%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWC040+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 : n009.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 22:06:16 EDT 2022 % Result : Theorem 0.19s 0.44s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWC040+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n009.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sun Jun 12 01:55:53 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.44 % SZS status Theorem % 0.19/0.44 (* PROOF-FOUND *) % 0.19/0.44 (* BEGIN-PROOF *) % 0.19/0.44 % SZS output start Proof % 0.19/0.44 1. (T_0 != T_0) ### Refl(=) % 0.19/0.44 2. (T_0 != T_0) ### Refl(=) % 0.19/0.44 3. ((nil) = T_1) (T_1 != (nil)) ### Sym(=) % 0.19/0.44 4. ((nil) != T_0) (T_0 = T_1) ((nil) = T_1) ### TransEq-sym 1 2 3 % 0.19/0.44 5. (-. ((nil) != T_1)) (T_0 = T_1) ((nil) != T_0) ### NotNot 4 % 0.19/0.44 6. ((nil) != (nil)) ### NotEqual % 0.19/0.44 7. (T_2 = T_3) (T_2 != T_3) ### Axiom % 0.19/0.44 8. ((nil) != T_3) ((nil) = T_2) (T_2 = T_3) ### Trans 6 7 % 0.19/0.44 9. (-. (((nil) != T_1) /\ ((nil) = T_3))) (T_2 = T_3) ((nil) = T_2) ((nil) != T_0) (T_0 = T_1) ### NotAnd 5 8 % 0.19/0.44 10. (-. ((ssList T_3) => (((nil) != T_2) \/ ((T_2 != T_3) \/ ((T_0 != T_1) \/ (((nil) = T_0) \/ ((((nil) != T_1) /\ ((nil) = T_3)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != T_1) \/ ((app Z (cons Y (nil))) != T_3)))))) /\ (neq T_3 (nil)))))))))) ### ConjTree 9 % 0.19/0.44 11. (-. (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != T_1) \/ (((nil) = T_0) \/ ((((nil) != T_1) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != T_1) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))) ### NotAllEx 10 % 0.19/0.44 12. (-. ((ssList T_1) => (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != T_1) \/ (((nil) = T_0) \/ ((((nil) != T_1) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != T_1) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil)))))))))))) ### NotImply 11 % 0.19/0.44 13. (-. (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))))) ### NotAllEx 12 % 0.19/0.44 14. (-. ((ssList T_2) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != T_2) \/ ((T_2 != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil)))))))))))))) ### NotImply 13 % 0.19/0.44 15. (-. (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != V) \/ ((V != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))))))) ### NotAllEx 14 % 0.19/0.44 16. (-. ((ssList T_0) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != V) \/ ((V != X) \/ ((T_0 != W) \/ (((nil) = T_0) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil)))))))))))))))) ### NotImply 15 % 0.19/0.44 17. (-. (All U, ((ssList U) => (All V, ((ssList V) => (All W, ((ssList W) => (All X, ((ssList X) => (((nil) != V) \/ ((V != X) \/ ((U != W) \/ (((nil) = U) \/ ((((nil) != W) /\ ((nil) = X)) \/ ((All Y, ((ssItem Y) => (All Z, ((ssList Z) => (((app (cons Y (nil)) Z) != W) \/ ((app Z (cons Y (nil))) != X)))))) /\ (neq X (nil))))))))))))))))) ### NotAllEx 16 % 0.19/0.44 % SZS output end Proof % 0.19/0.44 (* END-PROOF *) %------------------------------------------------------------------------------