%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : LCL648+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 01:32:34 PM UTC 2026 % Result : Theorem 0.36s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL648+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : run_zenon %s %d % 0.08/0.34 % Computer : n006.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Sat Sep 5 16:18:31 UTC 2026 % 0.08/0.34 % CPUTime : % 0.36/0.67 (* PROOF-FOUND *) % 0.36/0.67 % SZS status Theorem % 0.36/0.67 (* BEGIN-PROOF *) % 0.36/0.67 % SZS output start Proof % 0.36/0.67 Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(~(((p605 Y)\/((p604 Y)\/((p603 Y)\/((p602 Y)\/(p601 Y)))))/\(((p505 Y)\/((p504 Y)\/((p503 Y)\/((p502 Y)\/(p501 Y)))))/\(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))\/((p404 Y)\/((p403 Y)\/((p402 Y)\/(p401 Y)))))/\(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))\/((p303 Y)\/((p302 Y)\/(p301 Y)))))/\(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))\/((p202 Y)\/(p201 Y)))))/\((forall X : zenon_U, ((~(r1 Y X))\/(p105 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p104 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p103 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p102 X)))\/(p101 Y))))))))))))))))). % 0.36/0.67 Proof. % 0.36/0.67 assert (zenon_L1_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p605 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p405 X))) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3 zenon_H4. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.36/0.67 exact (zenon_Hf zenon_H3). % 0.36/0.67 exact (zenon_He zenon_H4). % 0.36/0.67 (* end of lemma zenon_L1_ *) % 0.36/0.67 assert (zenon_L2_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p504 zenon_TY_f) -> (p404 zenon_TY_f) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H10 zenon_H11. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.36/0.67 exact (zenon_H33 zenon_H10). % 0.36/0.67 exact (zenon_H32 zenon_H11). % 0.36/0.67 (* end of lemma zenon_L2_ *) % 0.36/0.67 assert (zenon_L3_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p605 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p305 X))) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3 zenon_H34. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_Hf | zenon_intro zenon_H35 ]. % 0.36/0.67 exact (zenon_Hf zenon_H3). % 0.36/0.67 exact (zenon_H35 zenon_H34). % 0.36/0.67 (* end of lemma zenon_L3_ *) % 0.36/0.67 assert (zenon_L4_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p504 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p304 X))) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H10 zenon_H36. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H33 | zenon_intro zenon_H3b ]. % 0.36/0.67 exact (zenon_H33 zenon_H10). % 0.36/0.67 exact (zenon_H3b zenon_H36). % 0.36/0.67 (* end of lemma zenon_L4_ *) % 0.36/0.67 assert (zenon_L5_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p403 zenon_TY_f) -> (p303 zenon_TY_f) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3c zenon_H3d. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.36/0.67 exact (zenon_H5f zenon_H3c). % 0.36/0.67 exact (zenon_H5e zenon_H3d). % 0.36/0.67 (* end of lemma zenon_L5_ *) % 0.36/0.67 assert (zenon_L6_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p605 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p205 X))) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3 zenon_H60. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_Hf | zenon_intro zenon_H61 ]. % 0.36/0.67 exact (zenon_Hf zenon_H3). % 0.36/0.67 exact (zenon_H61 zenon_H60). % 0.36/0.67 (* end of lemma zenon_L6_ *) % 0.36/0.67 assert (zenon_L7_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p504 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p204 X))) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H10 zenon_H62. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H33 | zenon_intro zenon_H63 ]. % 0.36/0.67 exact (zenon_H33 zenon_H10). % 0.36/0.67 exact (zenon_H63 zenon_H62). % 0.36/0.67 (* end of lemma zenon_L7_ *) % 0.36/0.67 assert (zenon_L8_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p403 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p203 X))) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3c zenon_H64. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H5f | zenon_intro zenon_H6b ]. % 0.36/0.67 exact (zenon_H5f zenon_H3c). % 0.36/0.67 exact (zenon_H6b zenon_H64). % 0.36/0.67 (* end of lemma zenon_L8_ *) % 0.36/0.67 assert (zenon_L9_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p302 zenon_TY_f) -> (p202 zenon_TY_f) -> False). % 0.36/0.67 do 2 intro. intros zenon_H1 zenon_H2 zenon_H6c zenon_H6d. % 0.36/0.67 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.67 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.67 exact (zenon_H9 zenon_H2). % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.67 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.67 apply (zenon_notand_s _ _ zenon_H8d); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 0.36/0.67 exact (zenon_H8f zenon_H6c). % 0.36/0.67 exact (zenon_H8e zenon_H6d). % 0.36/0.67 (* end of lemma zenon_L9_ *) % 0.36/0.67 assert (zenon_L10_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p605 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p105 X))) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3 zenon_H90. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_Hf | zenon_intro zenon_H91 ]. % 0.36/0.68 exact (zenon_Hf zenon_H3). % 0.36/0.68 exact (zenon_H91 zenon_H90). % 0.36/0.68 (* end of lemma zenon_L10_ *) % 0.36/0.68 assert (zenon_L11_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p504 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p104 X))) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_H10 zenon_H92. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_H4b); [ zenon_intro zenon_H33 | zenon_intro zenon_H93 ]. % 0.36/0.68 exact (zenon_H33 zenon_H10). % 0.36/0.68 exact (zenon_H93 zenon_H92). % 0.36/0.68 (* end of lemma zenon_L11_ *) % 0.36/0.68 assert (zenon_L12_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p403 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p103 X))) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3c zenon_H94. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H95 ]. % 0.36/0.68 exact (zenon_H5f zenon_H3c). % 0.36/0.68 exact (zenon_H95 zenon_H94). % 0.36/0.68 (* end of lemma zenon_L12_ *) % 0.36/0.68 assert (zenon_L13_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p302 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p102 X))) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_H6c zenon_H96. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_H9e); [ zenon_intro zenon_H8f | zenon_intro zenon_H9f ]. % 0.36/0.68 exact (zenon_H8f zenon_H6c). % 0.36/0.68 exact (zenon_H9f zenon_H96). % 0.36/0.68 (* end of lemma zenon_L13_ *) % 0.36/0.68 assert (zenon_L14_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p201 zenon_TY_f) -> (p101 zenon_TY_f) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_Ha0 zenon_Ha1. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hbb. zenon_intro zenon_Hba. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hba). zenon_intro zenon_Hbd. zenon_intro zenon_Hbc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hbc). zenon_intro zenon_Hbf. zenon_intro zenon_Hbe. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc0 ]. % 0.36/0.68 exact (zenon_Hc1 zenon_Ha0). % 0.36/0.68 exact (zenon_Hc0 zenon_Ha1). % 0.36/0.68 (* end of lemma zenon_L14_ *) % 0.36/0.68 assert (zenon_L15_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p202 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p102 X))) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_H6d zenon_H96. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_Ha3); [ zenon_intro zenon_H8e | zenon_intro zenon_H9f ]. % 0.36/0.68 exact (zenon_H8e zenon_H6d). % 0.36/0.68 exact (zenon_H9f zenon_H96). % 0.36/0.68 (* end of lemma zenon_L15_ *) % 0.36/0.68 assert (zenon_L16_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p301 zenon_TY_f) -> (p101 zenon_TY_f) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc2 zenon_Ha1. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hbb. zenon_intro zenon_Hba. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hba). zenon_intro zenon_Hbd. zenon_intro zenon_Hbc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hbc). zenon_intro zenon_Hbf. zenon_intro zenon_Hbe. % 0.36/0.68 apply (zenon_notand_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc0 ]. % 0.36/0.68 exact (zenon_Hc3 zenon_Hc2). % 0.36/0.68 exact (zenon_Hc0 zenon_Ha1). % 0.36/0.68 (* end of lemma zenon_L16_ *) % 0.36/0.68 assert (zenon_L17_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p301 zenon_TY_f) -> (p201 zenon_TY_f) -> False). % 0.36/0.68 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc2 zenon_Ha0. % 0.36/0.68 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.68 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.68 exact (zenon_H9 zenon_H2). % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.68 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_Hb7); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc1 ]. % 0.36/0.69 exact (zenon_Hc3 zenon_Hc2). % 0.36/0.69 exact (zenon_Hc1 zenon_Ha0). % 0.36/0.69 (* end of lemma zenon_L17_ *) % 0.36/0.69 assert (zenon_L18_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p303 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p203 X))) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3d zenon_H64. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H5e | zenon_intro zenon_H6b ]. % 0.36/0.69 exact (zenon_H5e zenon_H3d). % 0.36/0.69 exact (zenon_H6b zenon_H64). % 0.36/0.69 (* end of lemma zenon_L18_ *) % 0.36/0.69 assert (zenon_L19_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p402 zenon_TY_f) -> (p202 zenon_TY_f) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc4 zenon_H6d. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_H8b); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H8e ]. % 0.36/0.69 exact (zenon_Hc5 zenon_Hc4). % 0.36/0.69 exact (zenon_H8e zenon_H6d). % 0.36/0.69 (* end of lemma zenon_L19_ *) % 0.36/0.69 assert (zenon_L20_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p303 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p103 X))) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_H3d zenon_H94. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_H77); [ zenon_intro zenon_H5e | zenon_intro zenon_H95 ]. % 0.36/0.69 exact (zenon_H5e zenon_H3d). % 0.36/0.69 exact (zenon_H95 zenon_H94). % 0.36/0.69 (* end of lemma zenon_L20_ *) % 0.36/0.69 assert (zenon_L21_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p402 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p102 X))) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc4 zenon_H96. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_H9c); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H9f ]. % 0.36/0.69 exact (zenon_Hc5 zenon_Hc4). % 0.36/0.69 exact (zenon_H9f zenon_H96). % 0.36/0.69 (* end of lemma zenon_L21_ *) % 0.36/0.69 assert (zenon_L22_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p402 zenon_TY_f) -> (p302 zenon_TY_f) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc4 zenon_H6c. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_H85); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H8f ]. % 0.36/0.69 exact (zenon_Hc5 zenon_Hc4). % 0.36/0.69 exact (zenon_H8f zenon_H6c). % 0.36/0.69 (* end of lemma zenon_L22_ *) % 0.36/0.69 assert (zenon_L23_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p203 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p103 X))) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_H64 zenon_H94. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_H79); [ zenon_intro zenon_H6b | zenon_intro zenon_H95 ]. % 0.36/0.69 exact (zenon_H6b zenon_H64). % 0.36/0.69 exact (zenon_H95 zenon_H94). % 0.36/0.69 (* end of lemma zenon_L23_ *) % 0.36/0.69 assert (zenon_L24_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p401 zenon_TY_f) -> (p101 zenon_TY_f) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc6 zenon_Ha1. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hbb. zenon_intro zenon_Hba. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hba). zenon_intro zenon_Hbd. zenon_intro zenon_Hbc. % 0.36/0.69 apply (zenon_notand_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc0 ]. % 0.36/0.69 exact (zenon_Hc7 zenon_Hc6). % 0.36/0.69 exact (zenon_Hc0 zenon_Ha1). % 0.36/0.69 (* end of lemma zenon_L24_ *) % 0.36/0.69 assert (zenon_L25_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p401 zenon_TY_f) -> (p201 zenon_TY_f) -> False). % 0.36/0.69 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc6 zenon_Ha0. % 0.36/0.69 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.36/0.69 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.36/0.69 exact (zenon_H9 zenon_H2). % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.36/0.69 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_Hb5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc1 ]. % 0.44/0.70 exact (zenon_Hc7 zenon_Hc6). % 0.44/0.70 exact (zenon_Hc1 zenon_Ha0). % 0.44/0.70 (* end of lemma zenon_L25_ *) % 0.44/0.70 assert (zenon_L26_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p401 zenon_TY_f) -> (p301 zenon_TY_f) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc6 zenon_Hc2. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_Haf); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc3 ]. % 0.44/0.70 exact (zenon_Hc7 zenon_Hc6). % 0.44/0.70 exact (zenon_Hc3 zenon_Hc2). % 0.44/0.70 (* end of lemma zenon_L26_ *) % 0.44/0.70 assert (zenon_L27_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p404 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p304 X))) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_H11 zenon_H36. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H32 | zenon_intro zenon_H3b ]. % 0.44/0.70 exact (zenon_H32 zenon_H11). % 0.44/0.70 exact (zenon_H3b zenon_H36). % 0.44/0.70 (* end of lemma zenon_L27_ *) % 0.44/0.70 assert (zenon_L28_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p503 zenon_TY_f) -> (p303 zenon_TY_f) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc8 zenon_H3d. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H5e ]. % 0.44/0.70 exact (zenon_Hc9 zenon_Hc8). % 0.44/0.70 exact (zenon_H5e zenon_H3d). % 0.44/0.70 (* end of lemma zenon_L28_ *) % 0.44/0.70 assert (zenon_L29_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p404 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p204 X))) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_H11 zenon_H62. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H32 | zenon_intro zenon_H63 ]. % 0.44/0.70 exact (zenon_H32 zenon_H11). % 0.44/0.70 exact (zenon_H63 zenon_H62). % 0.44/0.70 (* end of lemma zenon_L29_ *) % 0.44/0.70 assert (zenon_L30_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p503 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p203 X))) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc8 zenon_H64. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H68); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 0.44/0.70 exact (zenon_Hc9 zenon_Hc8). % 0.44/0.70 exact (zenon_H6b zenon_H64). % 0.44/0.70 (* end of lemma zenon_L30_ *) % 0.44/0.70 assert (zenon_L31_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p404 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p104 X))) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_H11 zenon_H92. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H32 | zenon_intro zenon_H93 ]. % 0.44/0.70 exact (zenon_H32 zenon_H11). % 0.44/0.70 exact (zenon_H93 zenon_H92). % 0.44/0.70 (* end of lemma zenon_L31_ *) % 0.44/0.70 assert (zenon_L32_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p503 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p103 X))) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc8 zenon_H94. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H95 ]. % 0.44/0.70 exact (zenon_Hc9 zenon_Hc8). % 0.44/0.70 exact (zenon_H95 zenon_H94). % 0.44/0.70 (* end of lemma zenon_L32_ *) % 0.44/0.70 assert (zenon_L33_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p503 zenon_TY_f) -> (p403 zenon_TY_f) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hc8 zenon_H3c. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.70 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H5f ]. % 0.44/0.70 exact (zenon_Hc9 zenon_Hc8). % 0.44/0.70 exact (zenon_H5f zenon_H3c). % 0.44/0.70 (* end of lemma zenon_L33_ *) % 0.44/0.70 assert (zenon_L34_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p304 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p204 X))) -> False). % 0.44/0.70 do 2 intro. intros zenon_H1 zenon_H2 zenon_H36 zenon_H62. % 0.44/0.70 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.70 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.70 exact (zenon_H9 zenon_H2). % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.70 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.71 apply (zenon_notand_s _ _ zenon_H47); [ zenon_intro zenon_H3b | zenon_intro zenon_H63 ]. % 0.44/0.71 exact (zenon_H3b zenon_H36). % 0.44/0.71 exact (zenon_H63 zenon_H62). % 0.44/0.71 (* end of lemma zenon_L34_ *) % 0.44/0.71 assert (zenon_L35_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p304 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p104 X))) -> False). % 0.44/0.71 do 2 intro. intros zenon_H1 zenon_H2 zenon_H36 zenon_H92. % 0.44/0.71 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.71 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.71 exact (zenon_H9 zenon_H2). % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.71 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H3b | zenon_intro zenon_H93 ]. % 0.44/0.71 exact (zenon_H3b zenon_H36). % 0.44/0.71 exact (zenon_H93 zenon_H92). % 0.44/0.71 (* end of lemma zenon_L35_ *) % 0.44/0.71 assert (zenon_L36_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p204 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p104 X))) -> False). % 0.44/0.71 do 2 intro. intros zenon_H1 zenon_H2 zenon_H62 zenon_H92. % 0.44/0.71 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.71 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.71 exact (zenon_H9 zenon_H2). % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.71 apply (zenon_notand_s _ _ zenon_H51); [ zenon_intro zenon_H63 | zenon_intro zenon_H93 ]. % 0.44/0.71 exact (zenon_H63 zenon_H62). % 0.44/0.71 exact (zenon_H93 zenon_H92). % 0.44/0.71 (* end of lemma zenon_L36_ *) % 0.44/0.71 assert (zenon_L37_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p502 zenon_TY_f) -> (p202 zenon_TY_f) -> False). % 0.44/0.71 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hca zenon_H6d. % 0.44/0.71 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.71 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.71 exact (zenon_H9 zenon_H2). % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.71 apply (zenon_notand_s _ _ zenon_H89); [ zenon_intro zenon_Hcb | zenon_intro zenon_H8e ]. % 0.44/0.71 exact (zenon_Hcb zenon_Hca). % 0.44/0.71 exact (zenon_H8e zenon_H6d). % 0.44/0.71 (* end of lemma zenon_L37_ *) % 0.44/0.71 assert (zenon_L38_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p502 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p102 X))) -> False). % 0.44/0.71 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hca zenon_H96. % 0.44/0.71 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.71 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.71 exact (zenon_H9 zenon_H2). % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.71 apply (zenon_notand_s _ _ zenon_H9a); [ zenon_intro zenon_Hcb | zenon_intro zenon_H9f ]. % 0.44/0.71 exact (zenon_Hcb zenon_Hca). % 0.44/0.71 exact (zenon_H9f zenon_H96). % 0.44/0.71 (* end of lemma zenon_L38_ *) % 0.44/0.71 assert (zenon_L39_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p502 zenon_TY_f) -> (p302 zenon_TY_f) -> False). % 0.44/0.71 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hca zenon_H6c. % 0.44/0.71 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.71 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.71 exact (zenon_H9 zenon_H2). % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.71 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.72 apply (zenon_notand_s _ _ zenon_H83); [ zenon_intro zenon_Hcb | zenon_intro zenon_H8f ]. % 0.44/0.72 exact (zenon_Hcb zenon_Hca). % 0.44/0.72 exact (zenon_H8f zenon_H6c). % 0.44/0.72 (* end of lemma zenon_L39_ *) % 0.44/0.72 assert (zenon_L40_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p502 zenon_TY_f) -> (p402 zenon_TY_f) -> False). % 0.44/0.72 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hca zenon_Hc4. % 0.44/0.72 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.72 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.72 exact (zenon_H9 zenon_H2). % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.72 apply (zenon_notand_s _ _ zenon_H7f); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hc5 ]. % 0.44/0.72 exact (zenon_Hcb zenon_Hca). % 0.44/0.72 exact (zenon_Hc5 zenon_Hc4). % 0.44/0.72 (* end of lemma zenon_L40_ *) % 0.44/0.72 assert (zenon_L41_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p501 zenon_TY_f) -> (p101 zenon_TY_f) -> False). % 0.44/0.72 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hcc zenon_Ha1. % 0.44/0.72 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.72 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.72 exact (zenon_H9 zenon_H2). % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hbb. zenon_intro zenon_Hba. % 0.44/0.72 apply (zenon_notand_s _ _ zenon_Hbb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hc0 ]. % 0.44/0.72 exact (zenon_Hcd zenon_Hcc). % 0.44/0.72 exact (zenon_Hc0 zenon_Ha1). % 0.44/0.72 (* end of lemma zenon_L41_ *) % 0.44/0.72 assert (zenon_L42_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p501 zenon_TY_f) -> (p201 zenon_TY_f) -> False). % 0.44/0.72 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hcc zenon_Ha0. % 0.44/0.72 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.72 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.72 exact (zenon_H9 zenon_H2). % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.72 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_Hb3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hc1 ]. % 0.44/0.73 exact (zenon_Hcd zenon_Hcc). % 0.44/0.73 exact (zenon_Hc1 zenon_Ha0). % 0.44/0.73 (* end of lemma zenon_L42_ *) % 0.44/0.73 assert (zenon_L43_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p501 zenon_TY_f) -> (p301 zenon_TY_f) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hcc zenon_Hc2. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_Had); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hc3 ]. % 0.44/0.73 exact (zenon_Hcd zenon_Hcc). % 0.44/0.73 exact (zenon_Hc3 zenon_Hc2). % 0.44/0.73 (* end of lemma zenon_L43_ *) % 0.44/0.73 assert (zenon_L44_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p501 zenon_TY_f) -> (p401 zenon_TY_f) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hcc zenon_Hc6. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_Ha9); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hc7 ]. % 0.44/0.73 exact (zenon_Hcd zenon_Hcc). % 0.44/0.73 exact (zenon_Hc7 zenon_Hc6). % 0.44/0.73 (* end of lemma zenon_L44_ *) % 0.44/0.73 assert (zenon_L45_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p505 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p405 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hce zenon_H4. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_Hcf | zenon_intro zenon_He ]. % 0.44/0.73 exact (zenon_Hcf zenon_Hce). % 0.44/0.73 exact (zenon_He zenon_H4). % 0.44/0.73 (* end of lemma zenon_L45_ *) % 0.44/0.73 assert (zenon_L46_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p604 zenon_TY_f) -> (p404 zenon_TY_f) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd0 zenon_H11. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H32 ]. % 0.44/0.73 exact (zenon_Hd1 zenon_Hd0). % 0.44/0.73 exact (zenon_H32 zenon_H11). % 0.44/0.73 (* end of lemma zenon_L46_ *) % 0.44/0.73 assert (zenon_L47_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p505 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p305 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hce zenon_H34. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H17); [ zenon_intro zenon_Hcf | zenon_intro zenon_H35 ]. % 0.44/0.73 exact (zenon_Hcf zenon_Hce). % 0.44/0.73 exact (zenon_H35 zenon_H34). % 0.44/0.73 (* end of lemma zenon_L47_ *) % 0.44/0.73 assert (zenon_L48_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p604 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p304 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd0 zenon_H36. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H3b ]. % 0.44/0.73 exact (zenon_Hd1 zenon_Hd0). % 0.44/0.73 exact (zenon_H3b zenon_H36). % 0.44/0.73 (* end of lemma zenon_L48_ *) % 0.44/0.73 assert (zenon_L49_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p505 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p205 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hce zenon_H60. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H1d); [ zenon_intro zenon_Hcf | zenon_intro zenon_H61 ]. % 0.44/0.73 exact (zenon_Hcf zenon_Hce). % 0.44/0.73 exact (zenon_H61 zenon_H60). % 0.44/0.73 (* end of lemma zenon_L49_ *) % 0.44/0.73 assert (zenon_L50_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p604 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p204 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd0 zenon_H62. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H63 ]. % 0.44/0.73 exact (zenon_Hd1 zenon_Hd0). % 0.44/0.73 exact (zenon_H63 zenon_H62). % 0.44/0.73 (* end of lemma zenon_L50_ *) % 0.44/0.73 assert (zenon_L51_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p505 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p105 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hce zenon_H90. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notand_s _ _ zenon_H25); [ zenon_intro zenon_Hcf | zenon_intro zenon_H91 ]. % 0.44/0.73 exact (zenon_Hcf zenon_Hce). % 0.44/0.73 exact (zenon_H91 zenon_H90). % 0.44/0.73 (* end of lemma zenon_L51_ *) % 0.44/0.73 assert (zenon_L52_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p604 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p104 X))) -> False). % 0.44/0.73 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd0 zenon_H92. % 0.44/0.73 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.73 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.73 exact (zenon_H9 zenon_H2). % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.73 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H93 ]. % 0.44/0.74 exact (zenon_Hd1 zenon_Hd0). % 0.44/0.74 exact (zenon_H93 zenon_H92). % 0.44/0.74 (* end of lemma zenon_L52_ *) % 0.44/0.74 assert (zenon_L53_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p405 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p305 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_H4 zenon_H34. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_He | zenon_intro zenon_H35 ]. % 0.44/0.74 exact (zenon_He zenon_H4). % 0.44/0.74 exact (zenon_H35 zenon_H34). % 0.44/0.74 (* end of lemma zenon_L53_ *) % 0.44/0.74 assert (zenon_L54_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p405 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p205 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_H4 zenon_H60. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_He | zenon_intro zenon_H61 ]. % 0.44/0.74 exact (zenon_He zenon_H4). % 0.44/0.74 exact (zenon_H61 zenon_H60). % 0.44/0.74 (* end of lemma zenon_L54_ *) % 0.44/0.74 assert (zenon_L55_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p405 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p105 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_H4 zenon_H90. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_He | zenon_intro zenon_H91 ]. % 0.44/0.74 exact (zenon_He zenon_H4). % 0.44/0.74 exact (zenon_H91 zenon_H90). % 0.44/0.74 (* end of lemma zenon_L55_ *) % 0.44/0.74 assert (zenon_L56_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p305 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p205 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_H34 zenon_H60. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H35 | zenon_intro zenon_H61 ]. % 0.44/0.74 exact (zenon_H35 zenon_H34). % 0.44/0.74 exact (zenon_H61 zenon_H60). % 0.44/0.74 (* end of lemma zenon_L56_ *) % 0.44/0.74 assert (zenon_L57_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p305 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p105 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_H34 zenon_H90. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H35 | zenon_intro zenon_H91 ]. % 0.44/0.74 exact (zenon_H35 zenon_H34). % 0.44/0.74 exact (zenon_H91 zenon_H90). % 0.44/0.74 (* end of lemma zenon_L57_ *) % 0.44/0.74 assert (zenon_L58_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p205 X))) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p105 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_H60 zenon_H90. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H61 | zenon_intro zenon_H91 ]. % 0.44/0.74 exact (zenon_H61 zenon_H60). % 0.44/0.74 exact (zenon_H91 zenon_H90). % 0.44/0.74 (* end of lemma zenon_L58_ *) % 0.44/0.74 assert (zenon_L59_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p603 zenon_TY_f) -> (p303 zenon_TY_f) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd2 zenon_H3d. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5e ]. % 0.44/0.74 exact (zenon_Hd3 zenon_Hd2). % 0.44/0.74 exact (zenon_H5e zenon_H3d). % 0.44/0.74 (* end of lemma zenon_L59_ *) % 0.44/0.74 assert (zenon_L60_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p603 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p203 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd2 zenon_H64. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H6b ]. % 0.44/0.74 exact (zenon_Hd3 zenon_Hd2). % 0.44/0.74 exact (zenon_H6b zenon_H64). % 0.44/0.74 (* end of lemma zenon_L60_ *) % 0.44/0.74 assert (zenon_L61_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p603 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p103 X))) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd2 zenon_H94. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H71); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H95 ]. % 0.44/0.74 exact (zenon_Hd3 zenon_Hd2). % 0.44/0.74 exact (zenon_H95 zenon_H94). % 0.44/0.74 (* end of lemma zenon_L61_ *) % 0.44/0.74 assert (zenon_L62_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p603 zenon_TY_f) -> (p403 zenon_TY_f) -> False). % 0.44/0.74 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd2 zenon_H3c. % 0.44/0.74 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.74 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.74 exact (zenon_H9 zenon_H2). % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.74 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.74 apply (zenon_notand_s _ _ zenon_H55); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H5f ]. % 0.44/0.74 exact (zenon_Hd3 zenon_Hd2). % 0.44/0.74 exact (zenon_H5f zenon_H3c). % 0.44/0.74 (* end of lemma zenon_L62_ *) % 0.44/0.74 assert (zenon_L63_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p602 zenon_TY_f) -> (p202 zenon_TY_f) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd4 zenon_H6d. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_H87); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H8e ]. % 0.44/0.75 exact (zenon_Hd5 zenon_Hd4). % 0.44/0.75 exact (zenon_H8e zenon_H6d). % 0.44/0.75 (* end of lemma zenon_L63_ *) % 0.44/0.75 assert (zenon_L64_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p602 zenon_TY_f) -> (forall X : zenon_U, ((~(r1 zenon_TY_f X))\/(p102 X))) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd4 zenon_H96. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_H98); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H9f ]. % 0.44/0.75 exact (zenon_Hd5 zenon_Hd4). % 0.44/0.75 exact (zenon_H9f zenon_H96). % 0.44/0.75 (* end of lemma zenon_L64_ *) % 0.44/0.75 assert (zenon_L65_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p602 zenon_TY_f) -> (p302 zenon_TY_f) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd4 zenon_H6c. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H8f ]. % 0.44/0.75 exact (zenon_Hd5 zenon_Hd4). % 0.44/0.75 exact (zenon_H8f zenon_H6c). % 0.44/0.75 (* end of lemma zenon_L65_ *) % 0.44/0.75 assert (zenon_L66_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p602 zenon_TY_f) -> (p402 zenon_TY_f) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd4 zenon_Hc4. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_H7d); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hc5 ]. % 0.44/0.75 exact (zenon_Hd5 zenon_Hd4). % 0.44/0.75 exact (zenon_Hc5 zenon_Hc4). % 0.44/0.75 (* end of lemma zenon_L66_ *) % 0.44/0.75 assert (zenon_L67_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p601 zenon_TY_f) -> (p101 zenon_TY_f) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd6 zenon_Ha1. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hb6). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_Hb9); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc0 ]. % 0.44/0.75 exact (zenon_Hd7 zenon_Hd6). % 0.44/0.75 exact (zenon_Hc0 zenon_Ha1). % 0.44/0.75 (* end of lemma zenon_L67_ *) % 0.44/0.75 assert (zenon_L68_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p601 zenon_TY_f) -> (p201 zenon_TY_f) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd6 zenon_Ha0. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hac). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_Hb1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc1 ]. % 0.44/0.75 exact (zenon_Hd7 zenon_Hd6). % 0.44/0.75 exact (zenon_Hc1 zenon_Ha0). % 0.44/0.75 (* end of lemma zenon_L68_ *) % 0.44/0.75 assert (zenon_L69_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p601 zenon_TY_f) -> (p301 zenon_TY_f) -> False). % 0.44/0.75 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd6 zenon_Hc2. % 0.44/0.75 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.75 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.75 exact (zenon_H9 zenon_H2). % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.44/0.75 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.44/0.75 apply (zenon_notand_s _ _ zenon_Hab); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc3 ]. % 0.44/0.75 exact (zenon_Hd7 zenon_Hd6). % 0.44/0.75 exact (zenon_Hc3 zenon_Hc2). % 0.44/0.75 (* end of lemma zenon_L69_ *) % 0.44/0.75 assert (zenon_L70_ : forall (zenon_TY_f : zenon_U) (zenon_TX_g : zenon_U), (forall Y : zenon_U, ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)/\(p505 Y))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p405 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p305 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p205 X))))\/(((p605 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p505 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p105 X))))\/(((p604 Y)/\(p504 Y))\/(((p604 Y)/\(p404 Y))\/(((p504 Y)/\(p404 Y))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p304 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p204 X))))\/(((p604 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p504 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p404 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p104 X))))\/(((p603 Y)/\(p503 Y))\/(((p603 Y)/\(p403 Y))\/(((p503 Y)/\(p403 Y))\/(((p603 Y)/\(p303 Y))\/(((p503 Y)/\(p303 Y))\/(((p403 Y)/\(p303 Y))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p203 X))))\/(((p603 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p503 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p403 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p303 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))/\(forall X : zenon_U, ((~(r1 Y X))\/(p103 X))))\/(((p602 Y)/\(p502 Y))\/(((p602 Y)/\(p402 Y))\/(((p502 Y)/\(p402 Y))\/(((p602 Y)/\(p302 Y))\/(((p502 Y)/\(p302 Y))\/(((p402 Y)/\(p302 Y))\/(((p602 Y)/\(p202 Y))\/(((p502 Y)/\(p202 Y))\/(((p402 Y)/\(p202 Y))\/(((p302 Y)/\(p202 Y))\/(((p602 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p502 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p402 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p302 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p202 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p102 X))))\/(((p601 Y)/\(p501 Y))\/(((p601 Y)/\(p401 Y))\/(((p501 Y)/\(p401 Y))\/(((p601 Y)/\(p301 Y))\/(((p501 Y)/\(p301 Y))\/(((p401 Y)/\(p301 Y))\/(((p601 Y)/\(p201 Y))\/(((p501 Y)/\(p201 Y))\/(((p401 Y)/\(p201 Y))\/(((p301 Y)/\(p201 Y))\/(((p601 Y)/\(p101 Y))\/(((p501 Y)/\(p101 Y))\/(((p401 Y)/\(p101 Y))\/(((p301 Y)/\(p101 Y))\/((p201 Y)/\(p101 Y))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (r1 zenon_TX_g zenon_TY_f) -> (p601 zenon_TY_f) -> (p401 zenon_TY_f) -> False). % 0.44/0.76 do 2 intro. intros zenon_H1 zenon_H2 zenon_Hd6 zenon_Hc6. % 0.44/0.76 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.76 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.76 exact (zenon_H9 zenon_H2). % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.44/0.76 apply (zenon_notand_s _ _ zenon_Ha7); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hc7 ]. % 0.44/0.76 exact (zenon_Hd7 zenon_Hd6). % 0.44/0.76 exact (zenon_Hc7 zenon_Hc6). % 0.44/0.76 (* end of lemma zenon_L70_ *) % 0.44/0.76 apply NNPP. intro zenon_G. % 0.44/0.76 apply zenon_G. zenon_intro zenon_Hd8. % 0.44/0.76 elim zenon_Hd8. zenon_intro zenon_TX_g. zenon_intro zenon_Hd9. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Hd9). zenon_intro zenon_Hdb. zenon_intro zenon_Hda. % 0.44/0.76 apply zenon_Hdb. zenon_intro zenon_H1. % 0.44/0.76 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_g Y))\/(~(((p605 Y)\/((p604 Y)\/((p603 Y)\/((p602 Y)\/(p601 Y)))))/\(((p505 Y)\/((p504 Y)\/((p503 Y)\/((p502 Y)\/(p501 Y)))))/\(((forall X : zenon_U, ((~(r1 Y X))\/(p405 X)))\/((p404 Y)\/((p403 Y)\/((p402 Y)\/(p401 Y)))))/\(((forall X : zenon_U, ((~(r1 Y X))\/(p305 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p304 X)))\/((p303 Y)\/((p302 Y)\/(p301 Y)))))/\(((forall X : zenon_U, ((~(r1 Y X))\/(p205 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p204 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p203 X)))\/((p202 Y)\/(p201 Y)))))/\((forall X : zenon_U, ((~(r1 Y X))\/(p105 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p104 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p103 X)))\/((forall X : zenon_U, ((~(r1 Y X))\/(p102 X)))\/(p101 Y))))))))))))) zenon_Hda); [ zenon_intro zenon_Hdc; idtac ]. % 0.44/0.76 elim zenon_Hdc. zenon_intro zenon_TY_f. zenon_intro zenon_Hdd. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Hdd). zenon_intro zenon_Hdf. zenon_intro zenon_Hde. % 0.44/0.76 apply zenon_Hde. zenon_intro zenon_He0. % 0.44/0.76 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_He2. zenon_intro zenon_He1. % 0.44/0.76 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_He4. zenon_intro zenon_He3. % 0.44/0.76 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_He6. zenon_intro zenon_He5. % 0.44/0.76 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_He8. zenon_intro zenon_He7. % 0.44/0.76 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hea. zenon_intro zenon_He9. % 0.44/0.76 apply zenon_Hdf. zenon_intro zenon_H2. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_H3 | zenon_intro zenon_Heb ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hce | zenon_intro zenon_Hec ]. % 0.44/0.76 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.76 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.76 exact (zenon_H9 zenon_H2). % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.76 apply (zenon_notand_s _ _ zenon_Hb); [ zenon_intro zenon_Hf | zenon_intro zenon_Hcf ]. % 0.44/0.76 exact (zenon_Hf zenon_H3). % 0.44/0.76 exact (zenon_Hcf zenon_Hce). % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H10 | zenon_intro zenon_Hed ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_L1_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_L2_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfa ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_L1_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_L33_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcc ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_L1_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_L40_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_L1_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L3_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L6_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L10_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L44_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hfb ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hce | zenon_intro zenon_Hec ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_L45_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_L46_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H10 | zenon_intro zenon_Hed ]. % 0.44/0.76 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.76 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.76 exact (zenon_H9 zenon_H2). % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.76 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.76 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H33 ]. % 0.44/0.76 exact (zenon_Hd1 zenon_Hd0). % 0.44/0.76 exact (zenon_H33 zenon_H10). % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfa ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_L46_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_L33_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcc ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_L46_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_L40_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.76 apply (zenon_L46_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.76 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.76 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.76 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.76 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.76 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.76 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.76 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.76 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.76 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.76 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.76 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L48_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L52_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L50_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L44_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hfc ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hce | zenon_intro zenon_Hec ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_L45_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_L62_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H10 | zenon_intro zenon_Hed ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_L2_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_L62_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfa ]. % 0.44/0.77 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.77 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.77 exact (zenon_H9 zenon_H2). % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.77 apply (zenon_notand_s _ _ zenon_H53); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hc9 ]. % 0.44/0.77 exact (zenon_Hd3 zenon_Hd2). % 0.44/0.77 exact (zenon_Hc9 zenon_Hc8). % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcc ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_L62_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_L40_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_L62_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L61_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L60_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L59_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L44_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hce | zenon_intro zenon_Hec ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_L45_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_L66_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H10 | zenon_intro zenon_Hed ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_L2_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_L66_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfa ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L14_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L16_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L17_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_L33_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_L66_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L24_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L25_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L26_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcc ]. % 0.44/0.77 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.77 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.77 exact (zenon_H9 zenon_H2). % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.77 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.77 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hcb ]. % 0.44/0.77 exact (zenon_Hd5 zenon_Hd4). % 0.44/0.77 exact (zenon_Hcb zenon_Hca). % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L64_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L41_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L63_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L42_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L65_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L43_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_L66_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L44_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_Hce | zenon_intro zenon_Hec ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_L45_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L47_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L49_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L51_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L70_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H10 | zenon_intro zenon_Hed ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_L2_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_L4_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L11_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L7_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L70_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfa ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.77 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.77 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.77 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.77 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.77 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.77 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.77 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.77 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.77 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.77 apply (zenon_L15_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.78 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.78 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L13_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L9_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.78 apply (zenon_L33_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L32_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L21_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L30_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L19_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.78 apply (zenon_L28_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.78 apply (zenon_L22_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L70_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcc ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H4 | zenon_intro zenon_Hee ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.78 apply (zenon_L53_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_L54_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L55_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.78 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L23_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.78 apply (zenon_L27_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L31_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L20_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_L29_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L18_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.78 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H3c | zenon_intro zenon_Hf0 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H34 | zenon_intro zenon_Hf1 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_L56_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L57_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L36_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H36 | zenon_intro zenon_Hf2 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H60 | zenon_intro zenon_Hf4 ]. % 0.44/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H90 | zenon_intro zenon_Hf7 ]. % 0.44/0.78 apply (zenon_L58_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H92 | zenon_intro zenon_Hf8 ]. % 0.44/0.78 apply (zenon_L35_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf9 ]. % 0.44/0.78 apply (zenon_L12_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha1 ]. % 0.44/0.78 apply (zenon_L38_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L67_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H62 | zenon_intro zenon_Hf5 ]. % 0.44/0.78 apply (zenon_L34_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H64 | zenon_intro zenon_Hf6 ]. % 0.44/0.78 apply (zenon_L8_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 0.44/0.78 apply (zenon_L37_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L68_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H3d | zenon_intro zenon_Hf3 ]. % 0.44/0.78 apply (zenon_L5_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H6c | zenon_intro zenon_Hc2 ]. % 0.44/0.78 apply (zenon_L39_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L69_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc6 ]. % 0.44/0.78 apply (zenon_L40_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 apply (zenon_L70_ zenon_TY_f zenon_TX_g); trivial. % 0.44/0.78 generalize (zenon_H1 zenon_TY_f). zenon_intro zenon_H7. % 0.44/0.78 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.44/0.78 exact (zenon_H9 zenon_H2). % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H69). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_Ha3. zenon_intro zenon_Ha2. % 0.44/0.78 apply (zenon_notor_s _ _ zenon_Ha2). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.44/0.78 apply (zenon_notand_s _ _ zenon_Ha5); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hcd ]. % 0.44/0.78 exact (zenon_Hd7 zenon_Hd6). % 0.44/0.78 exact (zenon_Hcd zenon_Hcc). % 0.44/0.78 Qed. % 0.44/0.78 % SZS output end Proof % 0.44/0.78 (* END-PROOF *) % 0.44/0.78 nodes searched: 15553 % 0.44/0.78 max branch formulas: 325 % 0.44/0.78 proof nodes created: 996 % 0.44/0.78 formulas created: 6594 % 0.44/0.78 %------------------------------------------------------------------------------