TSTP Solution File: SEU062+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 15:59:13 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n026.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 : Mon Jun 20 01:42:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.18/0.49 (* PROOF-FOUND *)
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 (* BEGIN-PROOF *)
% 0.18/0.49 % SZS output start Proof
% 0.18/0.49 Theorem t143_funct_1 : (forall A : zenon_U, (forall B : zenon_U, ((relation B)->((forall C : zenon_U, (~((in C A)/\((relation_inverse_image B (singleton C)) = (empty_set)))))->(subset A (relation_rng B)))))).
% 0.18/0.49 Proof.
% 0.18/0.49 apply NNPP. intro zenon_G.
% 0.18/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((relation B)->((forall C : zenon_U, (~((in C A)/\((relation_inverse_image B (singleton C)) = (empty_set)))))->(subset A (relation_rng B)))))) zenon_G); [ zenon_intro zenon_H22; idtac ].
% 0.18/0.49 elim zenon_H22. zenon_intro zenon_TA_bj. zenon_intro zenon_H24.
% 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => ((relation B)->((forall C : zenon_U, (~((in C zenon_TA_bj)/\((relation_inverse_image B (singleton C)) = (empty_set)))))->(subset zenon_TA_bj (relation_rng B))))) zenon_H24); [ zenon_intro zenon_H25; idtac ].
% 0.18/0.49 elim zenon_H25. zenon_intro zenon_TB_bm. zenon_intro zenon_H27.
% 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 0.18/0.49 generalize (d3_tarski zenon_TA_bj). zenon_intro zenon_H2c.
% 0.18/0.49 generalize (zenon_H2c (relation_rng zenon_TB_bm)). zenon_intro zenon_H2d.
% 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H2d); [ zenon_intro zenon_H2a; zenon_intro zenon_H30 | zenon_intro zenon_H2f; zenon_intro zenon_H2e ].
% 0.18/0.49 apply (zenon_notallex_s (fun C : zenon_U => ((in C zenon_TA_bj)->(in C (relation_rng zenon_TB_bm)))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.18/0.49 elim zenon_H31. zenon_intro zenon_TC_by. zenon_intro zenon_H33.
% 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.18/0.49 generalize (t142_funct_1 zenon_TC_by). zenon_intro zenon_H36.
% 0.18/0.49 generalize (zenon_H36 zenon_TB_bm). zenon_intro zenon_H37.
% 0.18/0.49 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 0.18/0.49 exact (zenon_H39 zenon_H29).
% 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H34; zenon_intro zenon_H3c | zenon_intro zenon_H3b; zenon_intro zenon_H3a ].
% 0.18/0.49 apply zenon_H3c. zenon_intro zenon_H3d.
% 0.18/0.49 generalize (zenon_H2b zenon_TC_by). zenon_intro zenon_H3e.
% 0.18/0.49 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H3a ].
% 0.18/0.49 exact (zenon_H3f zenon_H35).
% 0.18/0.49 exact (zenon_H3a zenon_H3d).
% 0.18/0.49 exact (zenon_H34 zenon_H3b).
% 0.18/0.49 exact (zenon_H2a zenon_H2f).
% 0.18/0.49 Qed.
% 0.18/0.49 % SZS output end Proof
% 0.18/0.49 (* END-PROOF *)
% 0.18/0.49 nodes searched: 307
% 0.18/0.49 max branch formulas: 309
% 0.18/0.49 proof nodes created: 29
% 0.18/0.49 formulas created: 2113
% 0.18/0.49
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