TSTP Solution File: ALG194+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 18:31:05 EDT 2022
% Result : Theorem 0.60s 0.83s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 8 03:46:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.83 (* PROOF-FOUND *)
% 0.60/0.83 % SZS status Theorem
% 0.60/0.83 (* BEGIN-PROOF *)
% 0.60/0.83 % SZS output start Proof
% 0.60/0.83 Theorem co1 : (((~((op (e0) (e0)) = (e0)))/\((~((op (e1) (e1)) = (e1)))/\((~((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e3)))/\((~((op (e4) (e4)) = (e4)))/\((~((op (e5) (e5)) = (e5)))/\(~((op (e6) (e6)) = (e6)))))))))\/((((op (e0) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\(((op (e4) (e4)) = (e4))/\(((op (e5) (e5)) = (e5))/\((op (e6) (e6)) = (e6))))))))\/((((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))/\((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))))).
% 0.60/0.83 Proof.
% 0.60/0.83 assert (zenon_L1_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e0) (e0)) = (e0)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H7.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 exact (zenon_H9 zenon_H7).
% 0.60/0.83 (* end of lemma zenon_L1_ *)
% 0.60/0.83 assert (zenon_L2_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e1) (e1)) = (e1))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_Hb.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.60/0.83 exact (zenon_Hf zenon_Hb).
% 0.60/0.83 (* end of lemma zenon_L2_ *)
% 0.60/0.83 assert (zenon_L3_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e2) (e2)) = (e2))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H10.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.60/0.83 exact (zenon_H12 zenon_H10).
% 0.60/0.83 (* end of lemma zenon_L3_ *)
% 0.60/0.83 assert (zenon_L4_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H13.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.60/0.83 exact (zenon_H15 zenon_H13).
% 0.60/0.83 (* end of lemma zenon_L4_ *)
% 0.60/0.83 assert (zenon_L5_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e4) (e4)) = (e4))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H16.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.60/0.83 exact (zenon_H18 zenon_H16).
% 0.60/0.83 (* end of lemma zenon_L5_ *)
% 0.60/0.83 assert (zenon_L6_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e5) (e5)) = (e5))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H19.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H17). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.60/0.83 exact (zenon_H1b zenon_H19).
% 0.60/0.83 (* end of lemma zenon_L6_ *)
% 0.60/0.83 assert (zenon_L7_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e6) (e6)) = (e6))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H1c.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H17). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.60/0.83 exact (zenon_H1a zenon_H1c).
% 0.60/0.83 (* end of lemma zenon_L7_ *)
% 0.60/0.83 assert (zenon_L8_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e1) (e1)) = (e1)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H1d.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e.
% 0.60/0.83 exact (zenon_Hb zenon_H1d).
% 0.60/0.83 (* end of lemma zenon_L8_ *)
% 0.60/0.83 assert (zenon_L9_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H9.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.60/0.83 exact (zenon_Hd zenon_H9).
% 0.60/0.83 (* end of lemma zenon_L9_ *)
% 0.60/0.83 assert (zenon_L10_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e2) (e2)) = (e2)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H1f.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20.
% 0.60/0.83 exact (zenon_H10 zenon_H1f).
% 0.60/0.83 (* end of lemma zenon_L10_ *)
% 0.60/0.83 assert (zenon_L11_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e3) (e3)) = (e3)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H21.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22.
% 0.60/0.83 exact (zenon_H13 zenon_H21).
% 0.60/0.83 (* end of lemma zenon_L11_ *)
% 0.60/0.83 assert (zenon_L12_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e4) (e4)) = (e4)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H23.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H24.
% 0.60/0.83 exact (zenon_H16 zenon_H23).
% 0.60/0.83 (* end of lemma zenon_L12_ *)
% 0.60/0.83 assert (zenon_L13_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e5) (e5)) = (e5)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H25.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H24.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H19. zenon_intro zenon_H1c.
% 0.60/0.83 exact (zenon_H19 zenon_H25).
% 0.60/0.83 (* end of lemma zenon_L13_ *)
% 0.60/0.83 assert (zenon_L14_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e6) (e6)) = (e6)) -> False).
% 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H26.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H24.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H19. zenon_intro zenon_H1c.
% 0.60/0.83 exact (zenon_H1c zenon_H26).
% 0.60/0.83 (* end of lemma zenon_L14_ *)
% 0.60/0.83 apply NNPP. intro zenon_G.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.60/0.83 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_Hd | zenon_intro zenon_H2b ].
% 0.60/0.83 apply zenon_Hd. zenon_intro zenon_H7.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 exact (zenon_H9 zenon_H7).
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L1_); trivial.
% 0.60/0.83 apply (zenon_L2_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L1_); trivial.
% 0.60/0.83 apply (zenon_L3_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L1_); trivial.
% 0.60/0.83 apply (zenon_L4_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L1_); trivial.
% 0.60/0.83 apply (zenon_L5_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L1_); trivial.
% 0.60/0.83 apply (zenon_L6_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L1_); trivial.
% 0.60/0.83 apply (zenon_L7_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_Hf | zenon_intro zenon_H31 ].
% 0.60/0.83 apply zenon_Hf. zenon_intro zenon_H1d.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L8_); trivial.
% 0.60/0.83 apply (zenon_L9_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 exact (zenon_Hb zenon_H1d).
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L8_); trivial.
% 0.60/0.83 apply (zenon_L3_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L8_); trivial.
% 0.60/0.83 apply (zenon_L4_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L8_); trivial.
% 0.60/0.83 apply (zenon_L5_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L8_); trivial.
% 0.60/0.83 apply (zenon_L6_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L8_); trivial.
% 0.60/0.83 apply (zenon_L7_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H12 | zenon_intro zenon_H32 ].
% 0.60/0.83 apply zenon_H12. zenon_intro zenon_H1f.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L10_); trivial.
% 0.60/0.83 apply (zenon_L9_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L10_); trivial.
% 0.60/0.83 apply (zenon_L2_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 exact (zenon_H10 zenon_H1f).
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L10_); trivial.
% 0.60/0.83 apply (zenon_L4_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L10_); trivial.
% 0.60/0.83 apply (zenon_L5_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L10_); trivial.
% 0.60/0.83 apply (zenon_L6_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L10_); trivial.
% 0.60/0.83 apply (zenon_L7_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H15 | zenon_intro zenon_H33 ].
% 0.60/0.83 apply zenon_H15. zenon_intro zenon_H21.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L11_); trivial.
% 0.60/0.83 apply (zenon_L9_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L11_); trivial.
% 0.60/0.83 apply (zenon_L2_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L11_); trivial.
% 0.60/0.83 apply (zenon_L3_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 exact (zenon_H13 zenon_H21).
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L11_); trivial.
% 0.60/0.83 apply (zenon_L5_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L11_); trivial.
% 0.60/0.83 apply (zenon_L6_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L11_); trivial.
% 0.60/0.83 apply (zenon_L7_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H33); [ zenon_intro zenon_H18 | zenon_intro zenon_H34 ].
% 0.60/0.83 apply zenon_H18. zenon_intro zenon_H23.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L12_); trivial.
% 0.60/0.83 apply (zenon_L9_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L12_); trivial.
% 0.60/0.83 apply (zenon_L2_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L12_); trivial.
% 0.60/0.83 apply (zenon_L3_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L12_); trivial.
% 0.60/0.83 apply (zenon_L4_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 exact (zenon_H16 zenon_H23).
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L12_); trivial.
% 0.60/0.83 apply (zenon_L6_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L12_); trivial.
% 0.60/0.83 apply (zenon_L7_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.60/0.83 apply zenon_H1b. zenon_intro zenon_H25.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L13_); trivial.
% 0.60/0.83 apply (zenon_L9_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L13_); trivial.
% 0.60/0.83 apply (zenon_L2_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L13_); trivial.
% 0.60/0.83 apply (zenon_L3_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L13_); trivial.
% 0.60/0.83 apply (zenon_L4_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L13_); trivial.
% 0.60/0.83 apply (zenon_L5_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 exact (zenon_H19 zenon_H25).
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L13_); trivial.
% 0.60/0.83 apply (zenon_L7_); trivial.
% 0.60/0.83 apply zenon_H1a. zenon_intro zenon_H26.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L14_); trivial.
% 0.60/0.83 apply (zenon_L9_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L14_); trivial.
% 0.60/0.83 apply (zenon_L2_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L14_); trivial.
% 0.60/0.83 apply (zenon_L3_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L14_); trivial.
% 0.60/0.83 apply (zenon_L4_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L14_); trivial.
% 0.60/0.83 apply (zenon_L5_); trivial.
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ].
% 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ].
% 0.60/0.83 apply (zenon_L14_); trivial.
% 0.60/0.83 apply (zenon_L6_); trivial.
% 0.60/0.83 exact (zenon_H1c zenon_H26).
% 0.60/0.83 Qed.
% 0.60/0.83 % SZS output end Proof
% 0.60/0.83 (* END-PROOF *)
% 0.60/0.83 nodes searched: 91
% 0.60/0.83 max branch formulas: 529
% 0.60/0.83 proof nodes created: 86
% 0.60/0.83 formulas created: 12079
% 0.60/0.83
%------------------------------------------------------------------------------