TSTP Solution File: SEU359+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n013.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 16:01:30 EDT 2022
% Result : Theorem 0.40s 0.58s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.15 % Command : run_zenon %s %d
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jun 19 09:33:14 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.40/0.58 (* PROOF-FOUND *)
% 0.40/0.58 % SZS status Theorem
% 0.40/0.58 (* BEGIN-PROOF *)
% 0.40/0.58 % SZS output start Proof
% 0.40/0.58 Theorem t30_yellow_0 : (forall A : zenon_U, (((antisymmetric_relstr A)/\(rel_str A))->(forall B : zenon_U, ((element B (the_carrier A))->(forall C : zenon_U, ((((B = (join_on_relstr A C))/\(ex_sup_of_relstr_set A C))->((relstr_set_smaller A C B)/\(forall D : zenon_U, ((element D (the_carrier A))->((relstr_set_smaller A C D)->(related A B D))))))/\(((relstr_set_smaller A C B)/\(forall D : zenon_U, ((element D (the_carrier A))->((relstr_set_smaller A C D)->(related A B D)))))->((B = (join_on_relstr A C))/\(ex_sup_of_relstr_set A C))))))))).
% 0.40/0.58 Proof.
% 0.40/0.58 assert (zenon_L1_ : forall (zenon_TC_p : zenon_U) (zenon_TB_q : zenon_U) (zenon_TA_r : zenon_U), (antisymmetric_relstr zenon_TA_r) -> (rel_str zenon_TA_r) -> (element zenon_TB_q (the_carrier zenon_TA_r)) -> (relstr_set_smaller zenon_TA_r zenon_TC_p zenon_TB_q) -> (forall D : zenon_U, ((element D (the_carrier zenon_TA_r))->((relstr_set_smaller zenon_TA_r zenon_TC_p D)->(related zenon_TA_r zenon_TB_q D)))) -> (~(ex_sup_of_relstr_set zenon_TA_r zenon_TC_p)) -> False).
% 0.40/0.58 do 3 intro. intros zenon_H9 zenon_Ha zenon_Hb zenon_Hc zenon_Hd zenon_He.
% 0.40/0.58 generalize (t15_yellow_0 zenon_TA_r). zenon_intro zenon_H12.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.40/0.58 exact (zenon_H16 zenon_H9).
% 0.40/0.58 exact (zenon_H15 zenon_Ha).
% 0.40/0.58 generalize (zenon_H13 zenon_TC_p). zenon_intro zenon_H17.
% 0.40/0.58 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_He; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ].
% 0.40/0.58 apply zenon_H1a. exists zenon_TB_q. apply NNPP. zenon_intro zenon_H1b.
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.40/0.58 exact (zenon_H1d zenon_Hb).
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 0.40/0.58 exact (zenon_H1f zenon_Hc).
% 0.40/0.58 exact (zenon_H1e zenon_Hd).
% 0.40/0.58 exact (zenon_He zenon_H19).
% 0.40/0.58 (* end of lemma zenon_L1_ *)
% 0.40/0.58 apply NNPP. intro zenon_G.
% 0.40/0.58 apply (zenon_notallex_s (fun A : zenon_U => (((antisymmetric_relstr A)/\(rel_str A))->(forall B : zenon_U, ((element B (the_carrier A))->(forall C : zenon_U, ((((B = (join_on_relstr A C))/\(ex_sup_of_relstr_set A C))->((relstr_set_smaller A C B)/\(forall D : zenon_U, ((element D (the_carrier A))->((relstr_set_smaller A C D)->(related A B D))))))/\(((relstr_set_smaller A C B)/\(forall D : zenon_U, ((element D (the_carrier A))->((relstr_set_smaller A C D)->(related A B D)))))->((B = (join_on_relstr A C))/\(ex_sup_of_relstr_set A C))))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.40/0.58 elim zenon_H20. zenon_intro zenon_TA_r. zenon_intro zenon_H21.
% 0.40/0.58 apply (zenon_notimply_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 0.40/0.58 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H9. zenon_intro zenon_Ha.
% 0.40/0.58 apply (zenon_notallex_s (fun B : zenon_U => ((element B (the_carrier zenon_TA_r))->(forall C : zenon_U, ((((B = (join_on_relstr zenon_TA_r C))/\(ex_sup_of_relstr_set zenon_TA_r C))->((relstr_set_smaller zenon_TA_r C B)/\(forall D : zenon_U, ((element D (the_carrier zenon_TA_r))->((relstr_set_smaller zenon_TA_r C D)->(related zenon_TA_r B D))))))/\(((relstr_set_smaller zenon_TA_r C B)/\(forall D : zenon_U, ((element D (the_carrier zenon_TA_r))->((relstr_set_smaller zenon_TA_r C D)->(related zenon_TA_r B D)))))->((B = (join_on_relstr zenon_TA_r C))/\(ex_sup_of_relstr_set zenon_TA_r C))))))) zenon_H22); [ zenon_intro zenon_H24; idtac ].
% 0.40/0.58 elim zenon_H24. zenon_intro zenon_TB_q. zenon_intro zenon_H25.
% 0.40/0.58 apply (zenon_notimply_s _ _ zenon_H25). zenon_intro zenon_Hb. zenon_intro zenon_H26.
% 0.40/0.58 apply (zenon_notallex_s (fun C : zenon_U => ((((zenon_TB_q = (join_on_relstr zenon_TA_r C))/\(ex_sup_of_relstr_set zenon_TA_r C))->((relstr_set_smaller zenon_TA_r C zenon_TB_q)/\(forall D : zenon_U, ((element D (the_carrier zenon_TA_r))->((relstr_set_smaller zenon_TA_r C D)->(related zenon_TA_r zenon_TB_q D))))))/\(((relstr_set_smaller zenon_TA_r C zenon_TB_q)/\(forall D : zenon_U, ((element D (the_carrier zenon_TA_r))->((relstr_set_smaller zenon_TA_r C D)->(related zenon_TA_r zenon_TB_q D)))))->((zenon_TB_q = (join_on_relstr zenon_TA_r C))/\(ex_sup_of_relstr_set zenon_TA_r C))))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.40/0.58 elim zenon_H27. zenon_intro zenon_TC_p. zenon_intro zenon_H28.
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.40/0.58 apply (zenon_notimply_s _ _ zenon_H2a). zenon_intro zenon_H2b. zenon_intro zenon_H1c.
% 0.40/0.58 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2c. zenon_intro zenon_H19.
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 0.40/0.58 generalize (d9_yellow_0 zenon_TA_r). zenon_intro zenon_H2d.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H15 | zenon_intro zenon_H2e ].
% 0.40/0.58 exact (zenon_H15 zenon_Ha).
% 0.40/0.58 generalize (zenon_H2e zenon_TC_p). zenon_intro zenon_H2f.
% 0.40/0.58 generalize (zenon_H2f zenon_TB_q). zenon_intro zenon_H30.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H1d | zenon_intro zenon_H31 ].
% 0.40/0.58 exact (zenon_H1d zenon_Hb).
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_He | zenon_intro zenon_H32 ].
% 0.40/0.58 exact (zenon_He zenon_H19).
% 0.40/0.58 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H34; zenon_intro zenon_H1c | zenon_intro zenon_H2c; zenon_intro zenon_H33 ].
% 0.40/0.58 exact (zenon_H34 zenon_H2c).
% 0.40/0.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.40/0.58 exact (zenon_H1f zenon_Hc).
% 0.40/0.58 generalize (d9_yellow_0 zenon_TA_r). zenon_intro zenon_H2d.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H15 | zenon_intro zenon_H2e ].
% 0.40/0.58 exact (zenon_H15 zenon_Ha).
% 0.40/0.58 generalize (zenon_H2e zenon_TC_p). zenon_intro zenon_H2f.
% 0.40/0.58 generalize (zenon_H2f zenon_TB_q). zenon_intro zenon_H30.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H1d | zenon_intro zenon_H31 ].
% 0.40/0.58 exact (zenon_H1d zenon_Hb).
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_He | zenon_intro zenon_H32 ].
% 0.40/0.58 exact (zenon_He zenon_H19).
% 0.40/0.58 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H34; zenon_intro zenon_H1c | zenon_intro zenon_H2c; zenon_intro zenon_H33 ].
% 0.40/0.58 exact (zenon_H34 zenon_H2c).
% 0.40/0.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.40/0.58 exact (zenon_H1e zenon_Hd).
% 0.40/0.58 apply (zenon_notimply_s _ _ zenon_H29). zenon_intro zenon_H33. zenon_intro zenon_H35.
% 0.40/0.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_Hc. zenon_intro zenon_Hd.
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H34 | zenon_intro zenon_He ].
% 0.40/0.58 generalize (d9_yellow_0 zenon_TA_r). zenon_intro zenon_H2d.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H15 | zenon_intro zenon_H2e ].
% 0.40/0.58 exact (zenon_H15 zenon_Ha).
% 0.40/0.58 generalize (zenon_H2e zenon_TC_p). zenon_intro zenon_H2f.
% 0.40/0.58 generalize (zenon_H2f zenon_TB_q). zenon_intro zenon_H30.
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H1d | zenon_intro zenon_H31 ].
% 0.40/0.58 exact (zenon_H1d zenon_Hb).
% 0.40/0.58 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_He | zenon_intro zenon_H32 ].
% 0.40/0.58 apply (zenon_L1_ zenon_TC_p zenon_TB_q zenon_TA_r); trivial.
% 0.40/0.58 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H34; zenon_intro zenon_H1c | zenon_intro zenon_H2c; zenon_intro zenon_H33 ].
% 0.40/0.58 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 0.40/0.58 exact (zenon_H1f zenon_Hc).
% 0.40/0.58 exact (zenon_H1e zenon_Hd).
% 0.40/0.58 exact (zenon_H34 zenon_H2c).
% 0.40/0.58 apply (zenon_L1_ zenon_TC_p zenon_TB_q zenon_TA_r); trivial.
% 0.40/0.58 Qed.
% 0.40/0.58 % SZS output end Proof
% 0.40/0.58 (* END-PROOF *)
% 0.40/0.58 nodes searched: 654
% 0.40/0.58 max branch formulas: 171
% 0.40/0.58 proof nodes created: 113
% 0.40/0.58 formulas created: 2118
% 0.40/0.58
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