%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n006.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 14:49:20 EDT 2022 % Result : Theorem 3.03s 3.25s % Output : Proof 3.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n006.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sun Jun 19 19:31:40 EDT 2022 % 0.14/0.35 % CPUTime : % 3.03/3.25 % SZS status Theorem % 3.03/3.25 (* PROOF-FOUND *) % 3.03/3.25 (* BEGIN-PROOF *) % 3.03/3.25 % SZS output start Proof % 3.03/3.25 1. (relation T_0) (-. (relation T_0)) ### Axiom % 3.03/3.25 2. (relation T_0) (-. (relation T_0)) ### Axiom % 3.03/3.25 3. (function T_0) (-. (function T_0)) ### Axiom % 3.03/3.25 4. (one_to_one T_0) (-. (one_to_one T_0)) ### Axiom % 3.03/3.25 5. ((relation_rng T_0) != (relation_rng T_0)) ### Refl(=) % 3.03/3.25 6. ((relation_rng T_0) != (relation_rng T_0)) ### Refl(=) % 3.03/3.25 7. ((function_inverse T_0) = (relation_inverse T_0)) ((relation_inverse T_0) != (function_inverse T_0)) ### Sym(=) % 3.03/3.25 8. ((relation_dom (relation_inverse T_0)) != (relation_dom (function_inverse T_0))) ((function_inverse T_0) = (relation_inverse T_0)) ### NotEqual 7 % 3.03/3.25 9. ((relation_rng T_0) != (relation_dom (function_inverse T_0))) ((relation_rng T_0) = (relation_dom (relation_inverse T_0))) ((function_inverse T_0) = (relation_inverse T_0)) ### TransEq 5 6 8 % 3.03/3.25 10. (((relation T_0) /\ (function T_0)) => ((one_to_one T_0) => ((function_inverse T_0) = (relation_inverse T_0)))) ((relation_rng T_0) = (relation_dom (relation_inverse T_0))) ((relation_rng T_0) != (relation_dom (function_inverse T_0))) (one_to_one T_0) (function T_0) (relation T_0) ### DisjTree 2 3 4 9 % 3.03/3.25 11. (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) (relation T_0) (function T_0) (one_to_one T_0) ((relation_rng T_0) != (relation_dom (function_inverse T_0))) ((relation_rng T_0) = (relation_dom (relation_inverse T_0))) ### All 10 % 3.03/3.25 12. (((relation_rng T_0) = (relation_dom (relation_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (relation_inverse T_0)))) ((relation_rng T_0) != (relation_dom (function_inverse T_0))) (one_to_one T_0) (function T_0) (relation T_0) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) ### And 11 % 3.03/3.25 13. ((relation T_0) => (((relation_rng T_0) = (relation_dom (relation_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (relation_inverse T_0))))) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) (function T_0) (one_to_one T_0) ((relation_rng T_0) != (relation_dom (function_inverse T_0))) (relation T_0) ### Imply 1 12 % 3.03/3.25 14. (All A, ((relation A) => (((relation_rng A) = (relation_dom (relation_inverse A))) /\ ((relation_dom A) = (relation_rng (relation_inverse A)))))) (relation T_0) ((relation_rng T_0) != (relation_dom (function_inverse T_0))) (one_to_one T_0) (function T_0) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) ### All 13 % 3.03/3.25 15. (relation T_0) (-. (relation T_0)) ### Axiom % 3.03/3.25 16. (relation T_0) (-. (relation T_0)) ### Axiom % 3.03/3.25 17. (function T_0) (-. (function T_0)) ### Axiom % 3.03/3.25 18. (one_to_one T_0) (-. (one_to_one T_0)) ### Axiom % 3.03/3.25 19. ((relation_dom T_0) != (relation_dom T_0)) ### Refl(=) % 3.03/3.25 20. ((relation_dom T_0) != (relation_dom T_0)) ### Refl(=) % 3.03/3.25 21. ((function_inverse T_0) = (relation_inverse T_0)) ((relation_inverse T_0) != (function_inverse T_0)) ### Sym(=) % 3.03/3.25 22. ((relation_rng (relation_inverse T_0)) != (relation_rng (function_inverse T_0))) ((function_inverse T_0) = (relation_inverse T_0)) ### NotEqual 21 % 3.03/3.25 23. ((relation_dom T_0) != (relation_rng (function_inverse T_0))) ((relation_dom T_0) = (relation_rng (relation_inverse T_0))) ((function_inverse T_0) = (relation_inverse T_0)) ### TransEq 19 20 22 % 3.03/3.25 24. (((relation T_0) /\ (function T_0)) => ((one_to_one T_0) => ((function_inverse T_0) = (relation_inverse T_0)))) ((relation_dom T_0) = (relation_rng (relation_inverse T_0))) ((relation_dom T_0) != (relation_rng (function_inverse T_0))) (one_to_one T_0) (function T_0) (relation T_0) ### DisjTree 16 17 18 23 % 3.03/3.25 25. (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) (relation T_0) (function T_0) (one_to_one T_0) ((relation_dom T_0) != (relation_rng (function_inverse T_0))) ((relation_dom T_0) = (relation_rng (relation_inverse T_0))) ### All 24 % 3.03/3.25 26. (((relation_rng T_0) = (relation_dom (relation_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (relation_inverse T_0)))) ((relation_dom T_0) != (relation_rng (function_inverse T_0))) (one_to_one T_0) (function T_0) (relation T_0) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) ### And 25 % 3.03/3.25 27. ((relation T_0) => (((relation_rng T_0) = (relation_dom (relation_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (relation_inverse T_0))))) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) (function T_0) (one_to_one T_0) ((relation_dom T_0) != (relation_rng (function_inverse T_0))) (relation T_0) ### Imply 15 26 % 3.03/3.25 28. (All A, ((relation A) => (((relation_rng A) = (relation_dom (relation_inverse A))) /\ ((relation_dom A) = (relation_rng (relation_inverse A)))))) (relation T_0) ((relation_dom T_0) != (relation_rng (function_inverse T_0))) (one_to_one T_0) (function T_0) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) ### All 27 % 3.03/3.25 29. (-. (((relation_rng T_0) = (relation_dom (function_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (function_inverse T_0))))) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) (function T_0) (one_to_one T_0) (relation T_0) (All A, ((relation A) => (((relation_rng A) = (relation_dom (relation_inverse A))) /\ ((relation_dom A) = (relation_rng (relation_inverse A)))))) ### NotAnd 14 28 % 3.03/3.25 30. (-. (((relation T_0) /\ (function T_0)) => ((one_to_one T_0) => (((relation_rng T_0) = (relation_dom (function_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (function_inverse T_0))))))) (All A, ((relation A) => (((relation_rng A) = (relation_dom (relation_inverse A))) /\ ((relation_dom A) = (relation_rng (relation_inverse A)))))) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) ### ConjTree 29 % 3.03/3.25 31. (-. (All A, (((relation A) /\ (function A)) => ((one_to_one A) => (((relation_rng A) = (relation_dom (function_inverse A))) /\ ((relation_dom A) = (relation_rng (function_inverse A)))))))) (All A, (((relation A) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) (All A, ((relation A) => (((relation_rng A) = (relation_dom (relation_inverse A))) /\ ((relation_dom A) = (relation_rng (relation_inverse A)))))) ### NotAllEx 30 % 3.03/3.25 % SZS output end Proof % 3.03/3.25 (* END-PROOF *) %------------------------------------------------------------------------------