%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n015.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 0.13s 0.41s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n015.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 19 17:18:59 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.41 % SZS status Theorem % 0.13/0.41 (* PROOF-FOUND *) % 0.13/0.41 (* BEGIN-PROOF *) % 0.13/0.41 % SZS output start Proof % 0.13/0.41 1. ((relation_rng T_0) != (relation_rng T_0)) ### Refl(=) % 0.13/0.41 2. (relation T_0) (-. (relation T_0)) ### Axiom % 0.13/0.41 3. (function T_0) (-. (function T_0)) ### Axiom % 0.13/0.41 4. (one_to_one T_0) (-. (one_to_one T_0)) ### Axiom % 0.13/0.41 5. ((relation_inverse T_0) != (function_inverse T_0)) ((function_inverse T_0) = (relation_inverse T_0)) ### Sym(=) % 0.13/0.41 6. (((relation T_0) /\ (function T_0)) => ((one_to_one T_0) => ((function_inverse T_0) = (relation_inverse T_0)))) ((relation_inverse T_0) != (function_inverse T_0)) (one_to_one T_0) (function T_0) (relation T_0) ### DisjTree 2 3 4 5 % 0.13/0.41 7. (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_inverse T_0) != (function_inverse T_0)) ### All 6 % 0.13/0.41 8. ((relation_dom (relation_inverse 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))))) ### NotEqual 7 % 0.13/0.41 9. ((relation_rng T_0) != (relation_dom (function_inverse T_0))) ((relation_rng T_0) = (relation_dom (relation_inverse T_0))) (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) ### Trans 1 8 % 0.13/0.41 10. ((relation_dom T_0) != (relation_dom T_0)) ### Refl(=) % 0.13/0.41 11. ((relation_rng (relation_inverse 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))))) ### NotEqual 7 % 0.13/0.41 12. ((relation_dom T_0) != (relation_rng (function_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))))) (relation T_0) (function T_0) (one_to_one T_0) ### Trans 10 11 % 0.13/0.41 13. (-. (((relation_rng T_0) = (relation_dom (function_inverse T_0))) /\ ((relation_dom T_0) = (relation_rng (function_inverse T_0))))) ((relation_dom T_0) = (relation_rng (relation_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))))) ((relation_rng T_0) = (relation_dom (relation_inverse T_0))) ### NotAnd 9 12 % 0.13/0.41 14. (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_dom T_0) = (relation_rng (function_inverse T_0))))) ### Extension/test/t37_relat_1 13 % 0.13/0.41 15. (-. (((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) /\ (function A)) => ((one_to_one A) => ((function_inverse A) = (relation_inverse A))))) ### ConjTree 14 % 0.13/0.41 16. (-. (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))))) ### NotAllEx 15 % 0.13/0.41 % SZS output end Proof % 0.13/0.41 (* END-PROOF *) %------------------------------------------------------------------------------