TSTP Solution File: NUM410+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.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 : Mon Jul 18 15:55:25 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 15:12:23 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.51 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.19/0.51 (* PROOF-FOUND *)
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 (* BEGIN-PROOF *)
% 0.19/0.51 % SZS output start Proof
% 0.19/0.51 Theorem t46_ordinal1 : (forall A : zenon_U, (((relation A)/\(function A))->((ordinal (relation_dom A))->(transfinite_sequence_of A (relation_rng A))))).
% 0.19/0.51 Proof.
% 0.19/0.51 apply NNPP. intro zenon_G.
% 0.19/0.51 elim (classic (forall x : zenon_U, (subset x x))); [ zenon_intro zenon_H2e | zenon_intro zenon_H2f ].
% 0.19/0.51 apply (zenon_notallex_s (fun A : zenon_U => (((relation A)/\(function A))->((ordinal (relation_dom A))->(transfinite_sequence_of A (relation_rng A))))) zenon_G); [ zenon_intro zenon_H30; idtac ].
% 0.19/0.51 elim zenon_H30. zenon_intro zenon_TA_bx. zenon_intro zenon_H32.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 0.19/0.51 generalize (d8_ordinal1 (relation_rng zenon_TA_bx)). zenon_intro zenon_H39.
% 0.19/0.51 generalize (zenon_H39 zenon_TA_bx). zenon_intro zenon_H3a.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.19/0.51 exact (zenon_H3e zenon_H38).
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.19/0.51 exact (zenon_H40 zenon_H37).
% 0.19/0.51 generalize (d7_ordinal1 zenon_TA_bx). zenon_intro zenon_H41.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H3e | zenon_intro zenon_H40 ].
% 0.19/0.51 exact (zenon_H3e zenon_H38).
% 0.19/0.51 exact (zenon_H40 zenon_H37).
% 0.19/0.51 apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H3f; zenon_intro zenon_H45 | zenon_intro zenon_H44; zenon_intro zenon_H36 ].
% 0.19/0.51 exact (zenon_H45 zenon_H36).
% 0.19/0.51 exact (zenon_H3f zenon_H44).
% 0.19/0.51 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H35; zenon_intro zenon_H48 | zenon_intro zenon_H47; zenon_intro zenon_H46 ].
% 0.19/0.51 generalize (zenon_H2e (relation_rng zenon_TA_bx)). zenon_intro zenon_H46.
% 0.19/0.51 exact (zenon_H48 zenon_H46).
% 0.19/0.51 exact (zenon_H35 zenon_H47).
% 0.19/0.51 apply zenon_H2f. zenon_intro zenon_Tx_cv. apply NNPP. zenon_intro zenon_H4a.
% 0.19/0.51 generalize (reflexivity_r1_tarski zenon_Tx_cv). zenon_intro zenon_H0.
% 0.19/0.51 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4b.
% 0.19/0.51 exact (zenon_H4a zenon_H4b).
% 0.19/0.51 Qed.
% 0.19/0.51 % SZS output end Proof
% 0.19/0.51 (* END-PROOF *)
% 0.19/0.51 nodes searched: 621
% 0.19/0.51 max branch formulas: 411
% 0.19/0.51 proof nodes created: 37
% 0.19/0.51 formulas created: 2259
% 0.19/0.51
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