TSTP Solution File: SEU355+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n016.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 16:01:27 EDT 2022
% Result : Theorem 0.34s 0.53s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 10:54:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/0.53 (* PROOF-FOUND *)
% 0.34/0.53 % SZS status Theorem
% 0.34/0.53 (* BEGIN-PROOF *)
% 0.34/0.53 % SZS output start Proof
% 0.34/0.53 Theorem t6_yellow_0 : (forall A : zenon_U, ((rel_str A)->(forall B : zenon_U, ((element B (the_carrier A))->((relstr_set_smaller A (empty_set) B)/\(relstr_element_smaller A (empty_set) B)))))).
% 0.34/0.53 Proof.
% 0.34/0.53 apply NNPP. intro zenon_G.
% 0.34/0.53 apply (zenon_notallex_s (fun A : zenon_U => ((rel_str A)->(forall B : zenon_U, ((element B (the_carrier A))->((relstr_set_smaller A (empty_set) B)/\(relstr_element_smaller A (empty_set) B)))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 0.34/0.53 elim zenon_H13. zenon_intro zenon_TA_u. zenon_intro zenon_H15.
% 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.34/0.53 apply (zenon_notallex_s (fun B : zenon_U => ((element B (the_carrier zenon_TA_u))->((relstr_set_smaller zenon_TA_u (empty_set) B)/\(relstr_element_smaller zenon_TA_u (empty_set) B)))) zenon_H16); [ zenon_intro zenon_H18; idtac ].
% 0.34/0.53 elim zenon_H18. zenon_intro zenon_TB_z. zenon_intro zenon_H1a.
% 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.34/0.53 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.34/0.53 generalize (d9_lattice3 zenon_TA_u). zenon_intro zenon_H1f.
% 0.34/0.53 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 0.34/0.53 exact (zenon_H21 zenon_H17).
% 0.34/0.53 generalize (zenon_H20 (empty_set)). zenon_intro zenon_H22.
% 0.34/0.53 generalize (zenon_H22 zenon_TB_z). zenon_intro zenon_H23.
% 0.34/0.53 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.34/0.53 exact (zenon_H25 zenon_H1c).
% 0.34/0.53 apply (zenon_equiv_s _ _ zenon_H24); [ zenon_intro zenon_H1e; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H26 ].
% 0.34/0.53 apply (zenon_notallex_s (fun D : zenon_U => ((element D (the_carrier zenon_TA_u))->((in D (empty_set))->(related zenon_TA_u D zenon_TB_z)))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.34/0.53 elim zenon_H29. zenon_intro zenon_TD_bq. zenon_intro zenon_H2b.
% 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.34/0.53 generalize (t7_boole zenon_TD_bq). zenon_intro zenon_H30.
% 0.34/0.53 generalize (zenon_H30 (empty_set)). zenon_intro zenon_H31.
% 0.34/0.53 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.34/0.53 exact (zenon_H33 zenon_H2f).
% 0.34/0.53 exact (zenon_H32 fc1_xboole_0).
% 0.34/0.53 exact (zenon_H1e zenon_H27).
% 0.34/0.53 generalize (d8_lattice3 zenon_TA_u). zenon_intro zenon_H34.
% 0.34/0.53 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H21 | zenon_intro zenon_H35 ].
% 0.34/0.53 exact (zenon_H21 zenon_H17).
% 0.34/0.53 generalize (zenon_H35 (empty_set)). zenon_intro zenon_H36.
% 0.34/0.53 generalize (zenon_H36 zenon_TB_z). zenon_intro zenon_H37.
% 0.34/0.53 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H25 | zenon_intro zenon_H38 ].
% 0.34/0.53 exact (zenon_H25 zenon_H1c).
% 0.34/0.53 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H1d; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H39 ].
% 0.34/0.53 apply (zenon_notallex_s (fun D : zenon_U => ((element D (the_carrier zenon_TA_u))->((in D (empty_set))->(related zenon_TA_u zenon_TB_z D)))) zenon_H3b); [ zenon_intro zenon_H3c; idtac ].
% 0.34/0.53 elim zenon_H3c. zenon_intro zenon_TD_cj. zenon_intro zenon_H3e.
% 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 0.34/0.53 apply (zenon_notimply_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41.
% 0.34/0.53 generalize (t7_boole zenon_TD_cj). zenon_intro zenon_H43.
% 0.34/0.53 generalize (zenon_H43 (empty_set)). zenon_intro zenon_H44.
% 0.34/0.53 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H45 | zenon_intro zenon_H32 ].
% 0.34/0.53 exact (zenon_H45 zenon_H42).
% 0.34/0.53 exact (zenon_H32 fc1_xboole_0).
% 0.34/0.53 exact (zenon_H1d zenon_H3a).
% 0.34/0.53 Qed.
% 0.34/0.53 % SZS output end Proof
% 0.34/0.53 (* END-PROOF *)
% 0.34/0.53 nodes searched: 905
% 0.34/0.53 max branch formulas: 480
% 0.34/0.53 proof nodes created: 139
% 0.34/0.53 formulas created: 3039
% 0.34/0.53
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