TSTP Solution File: KRS153+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS153+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 : Sun Jul 17 03:39:37 EDT 2022
% Result : Theorem 0.62s 0.80s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS153+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 20:45:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.62/0.80 (* PROOF-FOUND *)
% 0.62/0.80 % SZS status Theorem
% 0.62/0.80 (* BEGIN-PROOF *)
% 0.62/0.80 % SZS output start Proof
% 0.62/0.80 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cC106 (iV16439))/\((cC28 (iV16439))/\((cC130 (iV16439))/\((cowlThing (iV16439))/\((cC108 (iV16439))/\((cC104 (iV16439))/\((cC80 (iV16440))/\((cowlThing (iV16440))/\((cC82 (iV16440))/\((cC98 (iV16440))/\((cowlThing (iV16448))/\((cC38 (iV16448))/\((cC62 (iV16453))/\((cowlThing (iV16453))/\((cC76 (iV16453))/\((cC60 (iV16453))/\((cC44 (iV16455))/\((cowlThing (iV16455))/\((cC56 (iV16455))/\((cC42 (iV16455))/\((cowlThing (iV16457))/\((cC38 (iV16457))/\((cC68 (iV16459))/\((cowlThing (iV16459))/\((cC88 (iV16459))/\((cC50 (iV16459))/\((cC34 (iV16459))/\((cowlThing (iV16460))/\((cC38 (iV16460))/\((cC44 (iV16461))/\((cowlThing (iV16461))/\((cC56 (iV16461))/\((cC42 (iV16461))/\((cowlThing (iV16462))/\((cC38 (iV16462))/\((cC62 (iV16463))/\((cowlThing (iV16463))/\((cC76 (iV16463))/\((cC60 (iV16463))/\((cC44 (iV16464))/\((cowlThing (iV16464))/\((cC56 (iV16464))/\((cC42 (iV16464))/\((cowlThing (iV16465))/\(cC38 (iV16465)))))))))))))))))))))))))))))))))))))))))))))))).
% 0.62/0.80 Proof.
% 0.62/0.80 assert (zenon_L1_ : (~(cC80 (iV16440))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_Hc9.
% 0.62/0.80 generalize (axiom_49 (iV16440)). zenon_intro zenon_Hca.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hca); [ zenon_intro zenon_Hc9; zenon_intro zenon_Hcd | zenon_intro zenon_Hcc; zenon_intro zenon_Hcb ].
% 0.62/0.80 apply zenon_Hcd. exists (iV16463). apply NNPP. zenon_intro zenon_Hce.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ].
% 0.62/0.80 exact (zenon_Hd0 axiom_73).
% 0.62/0.80 exact (zenon_Hcf axiom_175).
% 0.62/0.80 exact (zenon_Hc9 zenon_Hcc).
% 0.62/0.80 (* end of lemma zenon_L1_ *)
% 0.62/0.80 assert (zenon_L2_ : (~(exists Y : zenon_U, ((rR1 (iV16440) Y)/\(~(cC76 Y))))) -> (~(cC82 (iV16440))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_Hd1 zenon_Hd2.
% 0.62/0.80 generalize (axiom_50 (iV16440)). zenon_intro zenon_Hd3.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd2; zenon_intro zenon_Hd6 | zenon_intro zenon_Hd5; zenon_intro zenon_Hd4 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc9 ].
% 0.62/0.80 apply zenon_Hd7. zenon_intro zenon_Hd8.
% 0.62/0.80 generalize (axiom_48 (iV16440)). zenon_intro zenon_Hd9.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hd9); [ zenon_intro axiom_70; zenon_intro zenon_Hd1 | zenon_intro zenon_Hd8; zenon_intro zenon_Hda ].
% 0.62/0.80 exact (axiom_70 zenon_Hd8).
% 0.62/0.80 exact (zenon_Hd1 zenon_Hda).
% 0.62/0.80 apply (zenon_L1_); trivial.
% 0.62/0.80 exact (zenon_Hd2 zenon_Hd5).
% 0.62/0.80 (* end of lemma zenon_L2_ *)
% 0.62/0.80 assert (zenon_L3_ : (~(cC60 (iV16453))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_Hdb.
% 0.62/0.80 generalize (axiom_39 (iV16453)). zenon_intro zenon_Hdc.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdb; zenon_intro zenon_Hdf | zenon_intro zenon_Hde; zenon_intro zenon_Hdd ].
% 0.62/0.80 apply zenon_Hdf. exists (iV16461). apply NNPP. zenon_intro zenon_He0.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ].
% 0.62/0.80 exact (zenon_He2 axiom_96).
% 0.62/0.80 exact (zenon_He1 axiom_151).
% 0.62/0.80 exact (zenon_Hdb zenon_Hde).
% 0.62/0.80 (* end of lemma zenon_L3_ *)
% 0.62/0.80 assert (zenon_L4_ : (~(exists Y : zenon_U, ((rR1 (iV16453) Y)/\(~(cC56 Y))))) -> (~(cC62 (iV16453))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_He3 zenon_He4.
% 0.62/0.80 generalize (axiom_40 (iV16453)). zenon_intro zenon_He5.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_He5); [ zenon_intro zenon_He4; zenon_intro zenon_He8 | zenon_intro zenon_He7; zenon_intro zenon_He6 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_He8); [ zenon_intro zenon_Hdb | zenon_intro zenon_He9 ].
% 0.62/0.80 apply (zenon_L3_); trivial.
% 0.62/0.80 apply zenon_He9. zenon_intro zenon_Hea.
% 0.62/0.80 generalize (axiom_37 (iV16453)). zenon_intro zenon_Heb.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Heb); [ zenon_intro axiom_91; zenon_intro zenon_He3 | zenon_intro zenon_Hea; zenon_intro zenon_Hec ].
% 0.62/0.80 exact (axiom_91 zenon_Hea).
% 0.62/0.80 exact (zenon_He3 zenon_Hec).
% 0.62/0.80 exact (zenon_He4 zenon_He7).
% 0.62/0.80 (* end of lemma zenon_L4_ *)
% 0.62/0.80 assert (zenon_L5_ : (~(cC42 (iV16455))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_Hed.
% 0.62/0.80 generalize (axiom_29 (iV16455)). zenon_intro zenon_Hee.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hee); [ zenon_intro zenon_Hed; zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0; zenon_intro zenon_Hef ].
% 0.62/0.80 apply zenon_Hf1. exists (iV16460). apply NNPP. zenon_intro zenon_Hf2.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ].
% 0.62/0.80 exact (zenon_Hf4 axiom_107).
% 0.62/0.80 exact (zenon_Hf3 axiom_141).
% 0.62/0.80 exact (zenon_Hed zenon_Hf0).
% 0.62/0.80 (* end of lemma zenon_L5_ *)
% 0.62/0.80 assert (zenon_L6_ : (~(exists Y : zenon_U, ((rR1 (iV16455) Y)/\(~(cC38 Y))))) -> (~(cC44 (iV16455))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_Hf5 zenon_Hf6.
% 0.62/0.80 generalize (axiom_30 (iV16455)). zenon_intro zenon_Hf7.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf6; zenon_intro zenon_Hfa | zenon_intro zenon_Hf9; zenon_intro zenon_Hf8 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_Hfa); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hed ].
% 0.62/0.80 apply zenon_Hfb. zenon_intro zenon_Hfc.
% 0.62/0.80 generalize (axiom_28 (iV16455)). zenon_intro zenon_Hfd.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hfd); [ zenon_intro axiom_98; zenon_intro zenon_Hf5 | zenon_intro zenon_Hfc; zenon_intro zenon_Hfe ].
% 0.62/0.80 exact (axiom_98 zenon_Hfc).
% 0.62/0.80 exact (zenon_Hf5 zenon_Hfe).
% 0.62/0.80 apply (zenon_L5_); trivial.
% 0.62/0.80 exact (zenon_Hf6 zenon_Hf9).
% 0.62/0.80 (* end of lemma zenon_L6_ *)
% 0.62/0.80 assert (zenon_L7_ : (~(~(cC8 (iV16462)))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_Hff.
% 0.62/0.80 exact (zenon_Hff axiom_159).
% 0.62/0.80 (* end of lemma zenon_L7_ *)
% 0.62/0.80 assert (zenon_L8_ : (~(cC42 (iV16461))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H100.
% 0.62/0.80 generalize (axiom_29 (iV16461)). zenon_intro zenon_H101.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H101); [ zenon_intro zenon_H100; zenon_intro zenon_H104 | zenon_intro zenon_H103; zenon_intro zenon_H102 ].
% 0.62/0.80 apply zenon_H104. exists (iV16462). apply NNPP. zenon_intro zenon_H105.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H105); [ zenon_intro zenon_H106 | zenon_intro zenon_Hff ].
% 0.62/0.80 exact (zenon_H106 axiom_157).
% 0.62/0.80 exact (zenon_Hff axiom_159).
% 0.62/0.80 exact (zenon_H100 zenon_H103).
% 0.62/0.80 (* end of lemma zenon_L8_ *)
% 0.62/0.80 assert (zenon_L9_ : (~(exists Y : zenon_U, ((rR1 (iV16461) Y)/\(~(cC38 Y))))) -> (~(cC44 (iV16461))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H107 zenon_H108.
% 0.62/0.80 generalize (axiom_30 (iV16461)). zenon_intro zenon_H109.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H109); [ zenon_intro zenon_H108; zenon_intro zenon_H10c | zenon_intro zenon_H10b; zenon_intro zenon_H10a ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H10c); [ zenon_intro zenon_H10d | zenon_intro zenon_H100 ].
% 0.62/0.80 apply zenon_H10d. zenon_intro zenon_H10e.
% 0.62/0.80 generalize (axiom_28 (iV16461)). zenon_intro zenon_H10f.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H10f); [ zenon_intro axiom_147; zenon_intro zenon_H107 | zenon_intro zenon_H10e; zenon_intro zenon_H110 ].
% 0.62/0.80 exact (axiom_147 zenon_H10e).
% 0.62/0.80 exact (zenon_H107 zenon_H110).
% 0.62/0.80 apply (zenon_L8_); trivial.
% 0.62/0.80 exact (zenon_H108 zenon_H10b).
% 0.62/0.80 (* end of lemma zenon_L9_ *)
% 0.62/0.80 assert (zenon_L10_ : (~(~(cC12 (iV16464)))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H111.
% 0.62/0.80 exact (zenon_H111 axiom_183).
% 0.62/0.80 (* end of lemma zenon_L10_ *)
% 0.62/0.80 assert (zenon_L11_ : (~(cC60 (iV16463))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H112.
% 0.62/0.80 generalize (axiom_39 (iV16463)). zenon_intro zenon_H113.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H113); [ zenon_intro zenon_H112; zenon_intro zenon_H116 | zenon_intro zenon_H115; zenon_intro zenon_H114 ].
% 0.62/0.80 apply zenon_H116. exists (iV16464). apply NNPP. zenon_intro zenon_H117.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H117); [ zenon_intro zenon_H118 | zenon_intro zenon_H111 ].
% 0.62/0.80 exact (zenon_H118 axiom_177).
% 0.62/0.80 exact (zenon_H111 axiom_183).
% 0.62/0.80 exact (zenon_H112 zenon_H115).
% 0.62/0.80 (* end of lemma zenon_L11_ *)
% 0.62/0.80 assert (zenon_L12_ : (~(exists Y : zenon_U, ((rR1 (iV16463) Y)/\(~(cC56 Y))))) -> (~(cC62 (iV16463))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H119 zenon_H11a.
% 0.62/0.80 generalize (axiom_40 (iV16463)). zenon_intro zenon_H11b.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H11b); [ zenon_intro zenon_H11a; zenon_intro zenon_H11e | zenon_intro zenon_H11d; zenon_intro zenon_H11c ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H11e); [ zenon_intro zenon_H112 | zenon_intro zenon_H11f ].
% 0.62/0.80 apply (zenon_L11_); trivial.
% 0.62/0.80 apply zenon_H11f. zenon_intro zenon_H120.
% 0.62/0.80 generalize (axiom_37 (iV16463)). zenon_intro zenon_H121.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H121); [ zenon_intro axiom_174; zenon_intro zenon_H119 | zenon_intro zenon_H120; zenon_intro zenon_H122 ].
% 0.62/0.80 exact (axiom_174 zenon_H120).
% 0.62/0.80 exact (zenon_H119 zenon_H122).
% 0.62/0.80 exact (zenon_H11a zenon_H11d).
% 0.62/0.80 (* end of lemma zenon_L12_ *)
% 0.62/0.80 assert (zenon_L13_ : (~(~(cC8 (iV16465)))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H123.
% 0.62/0.80 exact (zenon_H123 axiom_194).
% 0.62/0.80 (* end of lemma zenon_L13_ *)
% 0.62/0.80 assert (zenon_L14_ : (~(cC42 (iV16464))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H124.
% 0.62/0.80 generalize (axiom_29 (iV16464)). zenon_intro zenon_H125.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H125); [ zenon_intro zenon_H124; zenon_intro zenon_H128 | zenon_intro zenon_H127; zenon_intro zenon_H126 ].
% 0.62/0.80 apply zenon_H128. exists (iV16465). apply NNPP. zenon_intro zenon_H129.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H129); [ zenon_intro zenon_H12a | zenon_intro zenon_H123 ].
% 0.62/0.80 exact (zenon_H12a axiom_188).
% 0.62/0.80 exact (zenon_H123 axiom_194).
% 0.62/0.80 exact (zenon_H124 zenon_H127).
% 0.62/0.80 (* end of lemma zenon_L14_ *)
% 0.62/0.80 assert (zenon_L15_ : (~(exists Y : zenon_U, ((rR1 (iV16464) Y)/\(~(cC38 Y))))) -> (~(cC44 (iV16464))) -> False).
% 0.62/0.80 do 0 intro. intros zenon_H12b zenon_H12c.
% 0.62/0.80 generalize (axiom_30 (iV16464)). zenon_intro zenon_H12d.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H12d); [ zenon_intro zenon_H12c; zenon_intro zenon_H130 | zenon_intro zenon_H12f; zenon_intro zenon_H12e ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H130); [ zenon_intro zenon_H131 | zenon_intro zenon_H124 ].
% 0.62/0.80 apply zenon_H131. zenon_intro zenon_H132.
% 0.62/0.80 generalize (axiom_28 (iV16464)). zenon_intro zenon_H133.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H133); [ zenon_intro axiom_179; zenon_intro zenon_H12b | zenon_intro zenon_H132; zenon_intro zenon_H134 ].
% 0.62/0.80 exact (axiom_179 zenon_H132).
% 0.62/0.80 exact (zenon_H12b zenon_H134).
% 0.62/0.80 apply (zenon_L14_); trivial.
% 0.62/0.80 exact (zenon_H12c zenon_H12f).
% 0.62/0.80 (* end of lemma zenon_L15_ *)
% 0.62/0.80 apply NNPP. intro zenon_G.
% 0.62/0.80 generalize (axiom_59 (iV16439)). zenon_intro zenon_H135.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H135); [ zenon_intro zenon_H138; zenon_intro zenon_H137 | zenon_intro axiom_61; zenon_intro zenon_H136 ].
% 0.62/0.80 exact (zenon_H138 axiom_61).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H13a. zenon_intro zenon_H139.
% 0.62/0.80 generalize (axiom_6 (iV16439)). zenon_intro zenon_H13b.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H13b); [ zenon_intro zenon_H13e; zenon_intro zenon_H13d | zenon_intro zenon_H13a; zenon_intro zenon_H13c ].
% 0.62/0.80 exact (zenon_H13e zenon_H13a).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H140. zenon_intro zenon_H13f.
% 0.62/0.80 generalize (axiom_22 (iV16439)). zenon_intro zenon_H141.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H141); [ zenon_intro zenon_H144; zenon_intro zenon_H143 | zenon_intro zenon_H140; zenon_intro zenon_H142 ].
% 0.62/0.80 exact (zenon_H144 zenon_H140).
% 0.62/0.80 generalize (axiom_5 (iV16439)). zenon_intro zenon_H145.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H145); [ zenon_intro zenon_H148; zenon_intro zenon_H147 | zenon_intro zenon_H13f; zenon_intro zenon_H146 ].
% 0.62/0.80 exact (zenon_H148 zenon_H13f).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H146). zenon_intro axiom_62. zenon_intro zenon_H149.
% 0.62/0.80 generalize (axiom_4 (iV16439)). zenon_intro zenon_H14a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H14a); [ zenon_intro zenon_H14d; zenon_intro zenon_H14c | zenon_intro zenon_H149; zenon_intro zenon_H14b ].
% 0.62/0.80 exact (zenon_H14d zenon_H149).
% 0.62/0.80 generalize (axiom_15 (iV16439)). zenon_intro zenon_H14e.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H14e); [ zenon_intro zenon_H151; zenon_intro zenon_H150 | zenon_intro zenon_H139; zenon_intro zenon_H14f ].
% 0.62/0.80 exact (zenon_H151 zenon_H139).
% 0.62/0.80 generalize (axiom_48 (iV16440)). zenon_intro zenon_Hd9.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hd9); [ zenon_intro axiom_70; zenon_intro zenon_Hd1 | zenon_intro zenon_Hd8; zenon_intro zenon_Hda ].
% 0.62/0.80 generalize (axiom_57 (iV16440)). zenon_intro zenon_H152.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H152); [ zenon_intro axiom_71; zenon_intro zenon_H155 | zenon_intro zenon_H154; zenon_intro zenon_H153 ].
% 0.62/0.80 generalize (axiom_26 (iV16448)). zenon_intro zenon_H156.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H156); [ zenon_intro axiom_76; zenon_intro zenon_H159 | zenon_intro zenon_H158; zenon_intro zenon_H157 ].
% 0.62/0.80 generalize (axiom_37 (iV16453)). zenon_intro zenon_Heb.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Heb); [ zenon_intro axiom_91; zenon_intro zenon_He3 | zenon_intro zenon_Hea; zenon_intro zenon_Hec ].
% 0.62/0.80 generalize (axiom_46 (iV16453)). zenon_intro zenon_H15a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H15a); [ zenon_intro axiom_92; zenon_intro zenon_H15d | zenon_intro zenon_H15c; zenon_intro zenon_H15b ].
% 0.62/0.80 generalize (axiom_28 (iV16455)). zenon_intro zenon_Hfd.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_Hfd); [ zenon_intro axiom_98; zenon_intro zenon_Hf5 | zenon_intro zenon_Hfc; zenon_intro zenon_Hfe ].
% 0.62/0.80 generalize (axiom_35 (iV16455)). zenon_intro zenon_H15e.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H15e); [ zenon_intro axiom_103; zenon_intro zenon_H161 | zenon_intro zenon_H160; zenon_intro zenon_H15f ].
% 0.62/0.80 generalize (axiom_26 (iV16457)). zenon_intro zenon_H162.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H162); [ zenon_intro axiom_108; zenon_intro zenon_H165 | zenon_intro zenon_H164; zenon_intro zenon_H163 ].
% 0.62/0.80 generalize (axiom_26 (iV16460)). zenon_intro zenon_H166.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H166); [ zenon_intro axiom_137; zenon_intro zenon_H169 | zenon_intro zenon_H168; zenon_intro zenon_H167 ].
% 0.62/0.80 generalize (axiom_28 (iV16461)). zenon_intro zenon_H10f.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H10f); [ zenon_intro axiom_147; zenon_intro zenon_H107 | zenon_intro zenon_H10e; zenon_intro zenon_H110 ].
% 0.62/0.80 generalize (axiom_35 (iV16461)). zenon_intro zenon_H16a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H16a); [ zenon_intro axiom_152; zenon_intro zenon_H16d | zenon_intro zenon_H16c; zenon_intro zenon_H16b ].
% 0.62/0.80 generalize (axiom_26 (iV16462)). zenon_intro zenon_H16e.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H16e); [ zenon_intro axiom_161; zenon_intro zenon_H171 | zenon_intro zenon_H170; zenon_intro zenon_H16f ].
% 0.62/0.80 generalize (axiom_46 (iV16463)). zenon_intro zenon_H172.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H172); [ zenon_intro axiom_173; zenon_intro zenon_H175 | zenon_intro zenon_H174; zenon_intro zenon_H173 ].
% 0.62/0.80 generalize (axiom_37 (iV16463)). zenon_intro zenon_H121.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H121); [ zenon_intro axiom_174; zenon_intro zenon_H119 | zenon_intro zenon_H120; zenon_intro zenon_H122 ].
% 0.62/0.80 generalize (axiom_28 (iV16464)). zenon_intro zenon_H133.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H133); [ zenon_intro axiom_179; zenon_intro zenon_H12b | zenon_intro zenon_H132; zenon_intro zenon_H134 ].
% 0.62/0.80 generalize (axiom_35 (iV16464)). zenon_intro zenon_H176.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H176); [ zenon_intro axiom_181; zenon_intro zenon_H179 | zenon_intro zenon_H178; zenon_intro zenon_H177 ].
% 0.62/0.80 generalize (axiom_26 (iV16465)). zenon_intro zenon_H17a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H17a); [ zenon_intro axiom_195; zenon_intro zenon_H17d | zenon_intro zenon_H17c; zenon_intro zenon_H17b ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ].
% 0.62/0.80 exact (zenon_H17f axiom_0).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H17e); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ].
% 0.62/0.80 exact (zenon_H181 axiom_1).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H180); [ zenon_intro zenon_H148 | zenon_intro zenon_H182 ].
% 0.62/0.80 generalize (axiom_5 (iV16439)). zenon_intro zenon_H145.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H145); [ zenon_intro zenon_H148; zenon_intro zenon_H147 | zenon_intro zenon_H13f; zenon_intro zenon_H146 ].
% 0.62/0.80 exact (zenon_H147 zenon_H146).
% 0.62/0.80 exact (zenon_H148 zenon_H13f).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H182); [ zenon_intro zenon_H144 | zenon_intro zenon_H183 ].
% 0.62/0.80 generalize (axiom_22 (iV16439)). zenon_intro zenon_H141.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H141); [ zenon_intro zenon_H144; zenon_intro zenon_H143 | zenon_intro zenon_H140; zenon_intro zenon_H142 ].
% 0.62/0.80 exact (zenon_H143 zenon_H142).
% 0.62/0.80 exact (zenon_H144 zenon_H140).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H183); [ zenon_intro zenon_H151 | zenon_intro zenon_H184 ].
% 0.62/0.80 generalize (axiom_15 (iV16439)). zenon_intro zenon_H14e.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H14e); [ zenon_intro zenon_H151; zenon_intro zenon_H150 | zenon_intro zenon_H139; zenon_intro zenon_H14f ].
% 0.62/0.80 exact (zenon_H150 zenon_H14f).
% 0.62/0.80 exact (zenon_H151 zenon_H139).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H184); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ].
% 0.62/0.80 exact (zenon_H186 axiom_63).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H185); [ zenon_intro zenon_H13e | zenon_intro zenon_H187 ].
% 0.62/0.80 generalize (axiom_6 (iV16439)). zenon_intro zenon_H13b.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H13b); [ zenon_intro zenon_H13e; zenon_intro zenon_H13d | zenon_intro zenon_H13a; zenon_intro zenon_H13c ].
% 0.62/0.80 exact (zenon_H13d zenon_H13c).
% 0.62/0.80 exact (zenon_H13e zenon_H13a).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H187); [ zenon_intro zenon_H14d | zenon_intro zenon_H188 ].
% 0.62/0.80 generalize (axiom_4 (iV16439)). zenon_intro zenon_H14a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H14a); [ zenon_intro zenon_H14d; zenon_intro zenon_H14c | zenon_intro zenon_H149; zenon_intro zenon_H14b ].
% 0.62/0.80 exact (zenon_H14c zenon_H14b).
% 0.62/0.80 exact (zenon_H14d zenon_H149).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H188); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H189 ].
% 0.62/0.80 apply (zenon_L1_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H189); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ].
% 0.62/0.80 exact (zenon_H18b axiom_72).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H18a); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H18c ].
% 0.62/0.80 apply (zenon_L2_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H18c); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ].
% 0.62/0.80 generalize (axiom_58 (iV16440)). zenon_intro zenon_H18f.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H18f); [ zenon_intro zenon_H18e; zenon_intro zenon_H192 | zenon_intro zenon_H191; zenon_intro zenon_H190 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H192); [ zenon_intro zenon_H193 | zenon_intro zenon_Hd2 ].
% 0.62/0.80 apply zenon_H193. zenon_intro zenon_H154.
% 0.62/0.80 generalize (axiom_57 (iV16440)). zenon_intro zenon_H152.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H152); [ zenon_intro axiom_71; zenon_intro zenon_H155 | zenon_intro zenon_H154; zenon_intro zenon_H153 ].
% 0.62/0.80 exact (axiom_71 zenon_H154).
% 0.62/0.80 exact (zenon_H155 zenon_H153).
% 0.62/0.80 apply (zenon_L2_); trivial.
% 0.62/0.80 exact (zenon_H18e zenon_H191).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H18d); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ].
% 0.62/0.80 exact (zenon_H195 axiom_84).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H194); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ].
% 0.62/0.80 generalize (axiom_27 (iV16448)). zenon_intro zenon_H198.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H198); [ zenon_intro zenon_H197; zenon_intro zenon_H19b | zenon_intro zenon_H19a; zenon_intro zenon_H199 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ].
% 0.62/0.80 apply zenon_H19d. zenon_intro zenon_H158.
% 0.62/0.80 generalize (axiom_26 (iV16448)). zenon_intro zenon_H156.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H156); [ zenon_intro axiom_76; zenon_intro zenon_H159 | zenon_intro zenon_H158; zenon_intro zenon_H157 ].
% 0.62/0.80 exact (axiom_76 zenon_H158).
% 0.62/0.80 exact (zenon_H159 zenon_H157).
% 0.62/0.80 exact (zenon_H19c axiom_79).
% 0.62/0.80 exact (zenon_H197 zenon_H19a).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H196); [ zenon_intro zenon_He4 | zenon_intro zenon_H19e ].
% 0.62/0.80 apply (zenon_L4_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ].
% 0.62/0.80 exact (zenon_H1a0 axiom_94).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ].
% 0.62/0.80 generalize (axiom_47 (iV16453)). zenon_intro zenon_H1a3.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a2; zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5; zenon_intro zenon_H1a4 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a7 | zenon_intro zenon_He4 ].
% 0.62/0.80 apply zenon_H1a7. zenon_intro zenon_H15c.
% 0.62/0.80 generalize (axiom_46 (iV16453)). zenon_intro zenon_H15a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H15a); [ zenon_intro axiom_92; zenon_intro zenon_H15d | zenon_intro zenon_H15c; zenon_intro zenon_H15b ].
% 0.62/0.80 exact (axiom_92 zenon_H15c).
% 0.62/0.80 exact (zenon_H15d zenon_H15b).
% 0.62/0.80 apply (zenon_L4_); trivial.
% 0.62/0.80 exact (zenon_H1a2 zenon_H1a5).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1a1); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1a8 ].
% 0.62/0.80 apply (zenon_L3_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1a8); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1a9 ].
% 0.62/0.80 apply (zenon_L6_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ].
% 0.62/0.80 exact (zenon_H1ab axiom_105).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ].
% 0.62/0.80 generalize (axiom_36 (iV16455)). zenon_intro zenon_H1ae.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1ae); [ zenon_intro zenon_H1ad; zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0; zenon_intro zenon_H1af ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1b1); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H1b2 ].
% 0.62/0.80 apply (zenon_L6_); trivial.
% 0.62/0.80 apply zenon_H1b2. zenon_intro zenon_H160.
% 0.62/0.80 generalize (axiom_35 (iV16455)). zenon_intro zenon_H15e.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H15e); [ zenon_intro axiom_103; zenon_intro zenon_H161 | zenon_intro zenon_H160; zenon_intro zenon_H15f ].
% 0.62/0.80 exact (axiom_103 zenon_H160).
% 0.62/0.80 exact (zenon_H161 zenon_H15f).
% 0.62/0.80 exact (zenon_H1ad zenon_H1b0).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1ac); [ zenon_intro zenon_Hed | zenon_intro zenon_H1b3 ].
% 0.62/0.80 apply (zenon_L5_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ].
% 0.62/0.80 exact (zenon_H1b5 axiom_117).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ].
% 0.62/0.80 generalize (axiom_27 (iV16457)). zenon_intro zenon_H1b8.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1b8); [ zenon_intro zenon_H1b7; zenon_intro zenon_H1bb | zenon_intro zenon_H1ba; zenon_intro zenon_H1b9 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ].
% 0.62/0.80 apply zenon_H1bd. zenon_intro zenon_H164.
% 0.62/0.80 generalize (axiom_26 (iV16457)). zenon_intro zenon_H162.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H162); [ zenon_intro axiom_108; zenon_intro zenon_H165 | zenon_intro zenon_H164; zenon_intro zenon_H163 ].
% 0.62/0.80 exact (axiom_108 zenon_H164).
% 0.62/0.80 exact (zenon_H165 zenon_H163).
% 0.62/0.80 exact (zenon_H1bc axiom_113).
% 0.62/0.80 exact (zenon_H1b7 zenon_H1ba).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1b6); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ].
% 0.62/0.80 generalize (axiom_43 (iV16459)). zenon_intro zenon_H1c0.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1c0); [ zenon_intro zenon_H1bf; zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2; zenon_intro zenon_H1c1 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ].
% 0.62/0.80 apply zenon_H1c5. zenon_intro zenon_H1c6.
% 0.62/0.80 generalize (axiom_41 (iV16459)). zenon_intro zenon_H1c7.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1c7); [ zenon_intro axiom_133; zenon_intro zenon_H1c9 | zenon_intro zenon_H1c6; zenon_intro zenon_H1c8 ].
% 0.62/0.80 exact (axiom_133 zenon_H1c6).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1c8). zenon_intro zenon_H1ca. zenon_intro axiom_128.
% 0.62/0.80 exact (axiom_129 zenon_H1ca).
% 0.62/0.80 apply zenon_H1c4. zenon_intro zenon_H1cb.
% 0.62/0.80 generalize (axiom_42 (iV16459)). zenon_intro zenon_H1cc.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1cc); [ zenon_intro axiom_127; zenon_intro zenon_H1ce | zenon_intro zenon_H1cb; zenon_intro zenon_H1cd ].
% 0.62/0.80 exact (axiom_127 zenon_H1cb).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro axiom_129. zenon_intro zenon_H1cf.
% 0.62/0.80 exact (zenon_H1cf axiom_128).
% 0.62/0.80 exact (zenon_H1bf zenon_H1c2).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1be); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ].
% 0.62/0.80 exact (zenon_H1d1 axiom_134).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ].
% 0.62/0.80 generalize (axiom_53 (iV16459)). zenon_intro zenon_H1d4.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d3; zenon_intro zenon_H1d7 | zenon_intro zenon_H1d6; zenon_intro zenon_H1d5 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ].
% 0.62/0.80 apply zenon_H1d9. zenon_intro zenon_H1da.
% 0.62/0.80 generalize (axiom_51 (iV16459)). zenon_intro zenon_H1db.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1db); [ zenon_intro axiom_132; zenon_intro zenon_H1dd | zenon_intro zenon_H1da; zenon_intro zenon_H1dc ].
% 0.62/0.80 exact (axiom_132 zenon_H1da).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H1de. zenon_intro axiom_128.
% 0.62/0.80 exact (axiom_130 zenon_H1de).
% 0.62/0.80 apply zenon_H1d8. zenon_intro zenon_H1df.
% 0.62/0.80 generalize (axiom_52 (iV16459)). zenon_intro zenon_H1e0.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1e0); [ zenon_intro axiom_123; zenon_intro zenon_H1e2 | zenon_intro zenon_H1df; zenon_intro zenon_H1e1 ].
% 0.62/0.80 exact (axiom_123 zenon_H1df).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1cf. zenon_intro axiom_130.
% 0.62/0.80 exact (zenon_H1cf axiom_128).
% 0.62/0.80 exact (zenon_H1d3 zenon_H1d6).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1d2); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1e3 ].
% 0.62/0.80 generalize (axiom_33 (iV16459)). zenon_intro zenon_H1e5.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e4; zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7; zenon_intro zenon_H1e6 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ].
% 0.62/0.80 apply zenon_H1ea. zenon_intro zenon_H1eb.
% 0.62/0.80 generalize (axiom_31 (iV16459)). zenon_intro zenon_H1ec.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1ec); [ zenon_intro axiom_124; zenon_intro zenon_H1ee | zenon_intro zenon_H1eb; zenon_intro zenon_H1ed ].
% 0.62/0.80 exact (axiom_124 zenon_H1eb).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1ca. zenon_intro axiom_119.
% 0.62/0.80 exact (axiom_129 zenon_H1ca).
% 0.62/0.80 apply zenon_H1e9. zenon_intro zenon_H1ef.
% 0.62/0.80 generalize (axiom_32 (iV16459)). zenon_intro zenon_H1f0.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1f0); [ zenon_intro axiom_120; zenon_intro zenon_H1f2 | zenon_intro zenon_H1ef; zenon_intro zenon_H1f1 ].
% 0.62/0.80 exact (axiom_120 zenon_H1ef).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro axiom_129. zenon_intro zenon_H1f3.
% 0.62/0.80 exact (zenon_H1f3 axiom_119).
% 0.62/0.80 exact (zenon_H1e4 zenon_H1e7).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1e3); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ].
% 0.62/0.80 generalize (axiom_25 (iV16459)). zenon_intro zenon_H1f6.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f5; zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8; zenon_intro zenon_H1f7 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ].
% 0.62/0.80 apply zenon_H1fb. zenon_intro zenon_H1fc.
% 0.62/0.80 generalize (axiom_24 (iV16459)). zenon_intro zenon_H1fd.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H1fd); [ zenon_intro axiom_135; zenon_intro zenon_H1ff | zenon_intro zenon_H1fc; zenon_intro zenon_H1fe ].
% 0.62/0.80 exact (axiom_135 zenon_H1fc).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro axiom_130. zenon_intro zenon_H1f3.
% 0.62/0.80 exact (zenon_H1f3 axiom_119).
% 0.62/0.80 apply zenon_H1fa. zenon_intro zenon_H200.
% 0.62/0.80 generalize (axiom_23 (iV16459)). zenon_intro zenon_H201.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H201); [ zenon_intro axiom_121; zenon_intro zenon_H203 | zenon_intro zenon_H200; zenon_intro zenon_H202 ].
% 0.62/0.80 exact (axiom_121 zenon_H200).
% 0.62/0.80 apply (zenon_and_s _ _ zenon_H202). zenon_intro axiom_119. zenon_intro zenon_H1de.
% 0.62/0.80 exact (axiom_130 zenon_H1de).
% 0.62/0.80 exact (zenon_H1f5 zenon_H1f8).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H1f4); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ].
% 0.62/0.80 exact (zenon_H205 axiom_146).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H204); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ].
% 0.62/0.80 generalize (axiom_27 (iV16460)). zenon_intro zenon_H208.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H208); [ zenon_intro zenon_H207; zenon_intro zenon_H20b | zenon_intro zenon_H20a; zenon_intro zenon_H209 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H20b); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ].
% 0.62/0.80 apply zenon_H20d. zenon_intro zenon_H168.
% 0.62/0.80 generalize (axiom_26 (iV16460)). zenon_intro zenon_H166.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H166); [ zenon_intro axiom_137; zenon_intro zenon_H169 | zenon_intro zenon_H168; zenon_intro zenon_H167 ].
% 0.62/0.80 exact (axiom_137 zenon_H168).
% 0.62/0.80 exact (zenon_H169 zenon_H167).
% 0.62/0.80 exact (zenon_H20c axiom_140).
% 0.62/0.80 exact (zenon_H207 zenon_H20a).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H206); [ zenon_intro zenon_H108 | zenon_intro zenon_H20e ].
% 0.62/0.80 apply (zenon_L9_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 0.62/0.80 exact (zenon_H210 axiom_155).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ].
% 0.62/0.80 generalize (axiom_36 (iV16461)). zenon_intro zenon_H213.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H213); [ zenon_intro zenon_H212; zenon_intro zenon_H216 | zenon_intro zenon_H215; zenon_intro zenon_H214 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H216); [ zenon_intro zenon_H108 | zenon_intro zenon_H217 ].
% 0.62/0.80 apply (zenon_L9_); trivial.
% 0.62/0.80 apply zenon_H217. zenon_intro zenon_H16c.
% 0.62/0.80 generalize (axiom_35 (iV16461)). zenon_intro zenon_H16a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H16a); [ zenon_intro axiom_152; zenon_intro zenon_H16d | zenon_intro zenon_H16c; zenon_intro zenon_H16b ].
% 0.62/0.80 exact (axiom_152 zenon_H16c).
% 0.62/0.80 exact (zenon_H16d zenon_H16b).
% 0.62/0.80 exact (zenon_H212 zenon_H215).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H211); [ zenon_intro zenon_H100 | zenon_intro zenon_H218 ].
% 0.62/0.80 apply (zenon_L8_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H218); [ zenon_intro zenon_H21a | zenon_intro zenon_H219 ].
% 0.62/0.80 exact (zenon_H21a axiom_168).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H219); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ].
% 0.62/0.80 generalize (axiom_27 (iV16462)). zenon_intro zenon_H21d.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H21d); [ zenon_intro zenon_H21c; zenon_intro zenon_H220 | zenon_intro zenon_H21f; zenon_intro zenon_H21e ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ].
% 0.62/0.80 apply zenon_H222. zenon_intro zenon_H170.
% 0.62/0.80 generalize (axiom_26 (iV16462)). zenon_intro zenon_H16e.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H16e); [ zenon_intro axiom_161; zenon_intro zenon_H171 | zenon_intro zenon_H170; zenon_intro zenon_H16f ].
% 0.62/0.80 exact (axiom_161 zenon_H170).
% 0.62/0.80 exact (zenon_H171 zenon_H16f).
% 0.62/0.80 exact (zenon_H221 axiom_162).
% 0.62/0.80 exact (zenon_H21c zenon_H21f).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H21b); [ zenon_intro zenon_H11a | zenon_intro zenon_H223 ].
% 0.62/0.80 apply (zenon_L12_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H223); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ].
% 0.62/0.80 exact (zenon_H225 axiom_176).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H224); [ zenon_intro zenon_H227 | zenon_intro zenon_H226 ].
% 0.62/0.80 generalize (axiom_47 (iV16463)). zenon_intro zenon_H228.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H228); [ zenon_intro zenon_H227; zenon_intro zenon_H22b | zenon_intro zenon_H22a; zenon_intro zenon_H229 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H22b); [ zenon_intro zenon_H22c | zenon_intro zenon_H11a ].
% 0.62/0.80 apply zenon_H22c. zenon_intro zenon_H174.
% 0.62/0.80 generalize (axiom_46 (iV16463)). zenon_intro zenon_H172.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H172); [ zenon_intro axiom_173; zenon_intro zenon_H175 | zenon_intro zenon_H174; zenon_intro zenon_H173 ].
% 0.62/0.80 exact (axiom_173 zenon_H174).
% 0.62/0.80 exact (zenon_H175 zenon_H173).
% 0.62/0.80 apply (zenon_L12_); trivial.
% 0.62/0.80 exact (zenon_H227 zenon_H22a).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H226); [ zenon_intro zenon_H112 | zenon_intro zenon_H22d ].
% 0.62/0.80 apply (zenon_L11_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H22d); [ zenon_intro zenon_H12c | zenon_intro zenon_H22e ].
% 0.62/0.80 apply (zenon_L15_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H22e); [ zenon_intro zenon_H230 | zenon_intro zenon_H22f ].
% 0.62/0.80 exact (zenon_H230 axiom_187).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H22f); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ].
% 0.62/0.80 generalize (axiom_36 (iV16464)). zenon_intro zenon_H233.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H233); [ zenon_intro zenon_H232; zenon_intro zenon_H236 | zenon_intro zenon_H235; zenon_intro zenon_H234 ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H236); [ zenon_intro zenon_H12c | zenon_intro zenon_H237 ].
% 0.62/0.80 apply (zenon_L15_); trivial.
% 0.62/0.80 apply zenon_H237. zenon_intro zenon_H178.
% 0.62/0.80 generalize (axiom_35 (iV16464)). zenon_intro zenon_H176.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H176); [ zenon_intro axiom_181; zenon_intro zenon_H179 | zenon_intro zenon_H178; zenon_intro zenon_H177 ].
% 0.62/0.80 exact (axiom_181 zenon_H178).
% 0.62/0.80 exact (zenon_H179 zenon_H177).
% 0.62/0.80 exact (zenon_H232 zenon_H235).
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H231); [ zenon_intro zenon_H124 | zenon_intro zenon_H238 ].
% 0.62/0.80 apply (zenon_L14_); trivial.
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H238); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ].
% 0.62/0.80 exact (zenon_H23a axiom_198).
% 0.62/0.80 generalize (axiom_27 (iV16465)). zenon_intro zenon_H23b.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H23b); [ zenon_intro zenon_H239; zenon_intro zenon_H23e | zenon_intro zenon_H23d; zenon_intro zenon_H23c ].
% 0.62/0.80 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ].
% 0.62/0.80 apply zenon_H240. zenon_intro zenon_H17c.
% 0.62/0.80 generalize (axiom_26 (iV16465)). zenon_intro zenon_H17a.
% 0.62/0.80 apply (zenon_equiv_s _ _ zenon_H17a); [ zenon_intro axiom_195; zenon_intro zenon_H17d | zenon_intro zenon_H17c; zenon_intro zenon_H17b ].
% 0.62/0.80 exact (axiom_195 zenon_H17c).
% 0.62/0.80 exact (zenon_H17d zenon_H17b).
% 0.62/0.80 exact (zenon_H23f axiom_196).
% 0.62/0.80 exact (zenon_H239 zenon_H23d).
% 0.62/0.80 exact (axiom_195 zenon_H17c).
% 0.62/0.80 exact (axiom_181 zenon_H178).
% 0.62/0.80 exact (axiom_179 zenon_H132).
% 0.62/0.80 exact (axiom_174 zenon_H120).
% 0.62/0.80 exact (axiom_173 zenon_H174).
% 0.62/0.80 exact (axiom_161 zenon_H170).
% 0.62/0.80 exact (axiom_152 zenon_H16c).
% 0.62/0.80 exact (axiom_147 zenon_H10e).
% 0.62/0.80 exact (axiom_137 zenon_H168).
% 0.62/0.80 exact (axiom_108 zenon_H164).
% 0.62/0.80 exact (axiom_103 zenon_H160).
% 0.62/0.80 exact (axiom_98 zenon_Hfc).
% 0.62/0.80 exact (axiom_92 zenon_H15c).
% 0.62/0.80 exact (axiom_91 zenon_Hea).
% 0.62/0.80 exact (axiom_76 zenon_H158).
% 0.62/0.80 exact (axiom_71 zenon_H154).
% 0.62/0.80 exact (axiom_70 zenon_Hd8).
% 0.62/0.80 Qed.
% 0.62/0.80 % SZS output end Proof
% 0.62/0.80 (* END-PROOF *)
% 0.62/0.80 nodes searched: 17402
% 0.62/0.80 max branch formulas: 3196
% 0.62/0.80 proof nodes created: 512
% 0.62/0.80 formulas created: 71090
% 0.62/0.80
%------------------------------------------------------------------------------