%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN450+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:52:42 EDT 2022 % Result : Theorem 0.80s 0.99s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN450+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 14:41:07 EDT 2022 % 0.12/0.33 % CPUTime : % 0.80/0.99 (* PROOF-FOUND *) % 0.80/0.99 % SZS status Theorem % 0.80/0.99 (* BEGIN-PROOF *) % 0.80/0.99 % SZS output start Proof % 0.80/0.99 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a641))/\((c3_1 (a641))/\(~(c1_1 (a641)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a642))/\((c3_1 (a642))/\(~(c1_1 (a642)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a643))/\((c2_1 (a643))/\(~(c0_1 (a643)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a645))/\((c3_1 (a645))/\(~(c2_1 (a645)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c1_1 (a646)))/\((~(c2_1 (a646)))/\(~(c3_1 (a646)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a647))/\((~(c0_1 (a647)))/\(~(c3_1 (a647)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a654)))/\((~(c1_1 (a654)))/\(~(c2_1 (a654)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))))/\(((~(hskp15))\/((ndr1_0)/\((c3_1 (a667))/\((~(c0_1 (a667)))/\(~(c2_1 (a667)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))))/\(((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))))/\(((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a698))/\((~(c0_1 (a698)))/\(~(c2_1 (a698)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a710)))/\((~(c2_1 (a710)))/\(~(c3_1 (a710)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/(hskp7)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp7)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp15)\/(hskp9)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp4)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/(hskp12)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c3_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(hskp9)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))/\(((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19)))/\(((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp2)\/(hskp24)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp1)\/(hskp29)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp15)\/(hskp9)))/\(((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29)))/\(((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/((hskp23)\/(hskp25)))/\(((hskp18)\/((hskp1)\/(hskp7)))/\(((hskp18)\/((hskp2)\/(hskp20)))/\(((hskp1)\/((hskp14)\/(hskp17)))/\(((hskp2)\/((hskp22)\/(hskp19)))/\(((hskp20)\/((hskp24)\/(hskp0)))/\((hskp24)\/((hskp14)\/(hskp17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.80/0.99 Proof. % 0.80/0.99 assert (zenon_L1_ : (~(hskp1)) -> (hskp1) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1 zenon_H2. % 0.80/0.99 exact (zenon_H1 zenon_H2). % 0.80/0.99 (* end of lemma zenon_L1_ *) % 0.80/0.99 assert (zenon_L2_ : (~(hskp14)) -> (hskp14) -> False). % 0.80/0.99 do 0 intro. intros zenon_H3 zenon_H4. % 0.80/0.99 exact (zenon_H3 zenon_H4). % 0.80/0.99 (* end of lemma zenon_L2_ *) % 0.80/0.99 assert (zenon_L3_ : (~(hskp17)) -> (hskp17) -> False). % 0.80/0.99 do 0 intro. intros zenon_H5 zenon_H6. % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L3_ *) % 0.80/0.99 assert (zenon_L4_ : ((hskp1)\/((hskp14)\/(hskp17))) -> (~(hskp1)) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.80/0.99 exact (zenon_H1 zenon_H2). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.80/0.99 exact (zenon_H3 zenon_H4). % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 (* end of lemma zenon_L4_ *) % 0.80/0.99 assert (zenon_L5_ : (~(hskp2)) -> (hskp2) -> False). % 0.80/0.99 do 0 intro. intros zenon_H9 zenon_Ha. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 (* end of lemma zenon_L5_ *) % 0.80/0.99 assert (zenon_L6_ : (~(hskp22)) -> (hskp22) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hb zenon_Hc. % 0.80/0.99 exact (zenon_Hb zenon_Hc). % 0.80/0.99 (* end of lemma zenon_L6_ *) % 0.80/0.99 assert (zenon_L7_ : (~(hskp19)) -> (hskp19) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd zenon_He. % 0.80/0.99 exact (zenon_Hd zenon_He). % 0.80/0.99 (* end of lemma zenon_L7_ *) % 0.80/0.99 assert (zenon_L8_ : ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp22)) -> (~(hskp19)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.80/0.99 exact (zenon_Hb zenon_Hc). % 0.80/0.99 exact (zenon_Hd zenon_He). % 0.80/0.99 (* end of lemma zenon_L8_ *) % 0.80/0.99 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.80/0.99 do 0 intro. intros zenon_H11 zenon_H12. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 (* end of lemma zenon_L9_ *) % 0.80/0.99 assert (zenon_L10_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.80/0.99 generalize (zenon_H13 (a693)). zenon_intro zenon_H17. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.80/0.99 exact (zenon_H14 zenon_H1a). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.80/0.99 exact (zenon_H1c zenon_H15). % 0.80/0.99 exact (zenon_H1b zenon_H16). % 0.80/0.99 (* end of lemma zenon_L10_ *) % 0.80/0.99 assert (zenon_L11_ : (~(hskp4)) -> (hskp4) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1d zenon_H1e. % 0.80/0.99 exact (zenon_H1d zenon_H1e). % 0.80/0.99 (* end of lemma zenon_L11_ *) % 0.80/0.99 assert (zenon_L12_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp14)) -> (~(hskp4)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1f zenon_H20 zenon_H3 zenon_H1d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H13 | zenon_intro zenon_H23 ]. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H4 | zenon_intro zenon_H1e ]. % 0.80/0.99 exact (zenon_H3 zenon_H4). % 0.80/0.99 exact (zenon_H1d zenon_H1e). % 0.80/0.99 (* end of lemma zenon_L12_ *) % 0.80/0.99 assert (zenon_L13_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> (~(hskp2)) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_H20 zenon_H1d zenon_H3 zenon_H9 zenon_Hd zenon_Hf. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/0.99 apply (zenon_L8_); trivial. % 0.80/0.99 apply (zenon_L12_); trivial. % 0.80/0.99 (* end of lemma zenon_L13_ *) % 0.80/0.99 assert (zenon_L14_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H25 zenon_H12 zenon_H26 zenon_H27 zenon_H28. % 0.80/0.99 generalize (zenon_H25 (a682)). zenon_intro zenon_H29. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.80/0.99 exact (zenon_H26 zenon_H2c). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.80/0.99 exact (zenon_H27 zenon_H2e). % 0.80/0.99 exact (zenon_H2d zenon_H28). % 0.80/0.99 (* end of lemma zenon_L14_ *) % 0.80/0.99 assert (zenon_L15_ : (~(hskp28)) -> (hskp28) -> False). % 0.80/0.99 do 0 intro. intros zenon_H2f zenon_H30. % 0.80/0.99 exact (zenon_H2f zenon_H30). % 0.80/0.99 (* end of lemma zenon_L15_ *) % 0.80/0.99 assert (zenon_L16_ : (~(hskp16)) -> (hskp16) -> False). % 0.80/0.99 do 0 intro. intros zenon_H31 zenon_H32. % 0.80/0.99 exact (zenon_H31 zenon_H32). % 0.80/0.99 (* end of lemma zenon_L16_ *) % 0.80/0.99 assert (zenon_L17_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp16)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H33 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H2f zenon_H31. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H25 | zenon_intro zenon_H34 ]. % 0.80/0.99 apply (zenon_L14_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H30 | zenon_intro zenon_H32 ]. % 0.80/0.99 exact (zenon_H2f zenon_H30). % 0.80/0.99 exact (zenon_H31 zenon_H32). % 0.80/0.99 (* end of lemma zenon_L17_ *) % 0.80/0.99 assert (zenon_L18_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a682))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H35 zenon_H12 zenon_H27 zenon_H36 zenon_H26 zenon_H28. % 0.80/0.99 generalize (zenon_H35 (a682)). zenon_intro zenon_H37. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H11 | zenon_intro zenon_H38 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.80/0.99 exact (zenon_H27 zenon_H2e). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3a | zenon_intro zenon_H2d ]. % 0.80/0.99 generalize (zenon_H36 (a682)). zenon_intro zenon_H3b. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H11 | zenon_intro zenon_H3c ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.80/0.99 exact (zenon_H3a zenon_H3e). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H2c | zenon_intro zenon_H2d ]. % 0.80/0.99 exact (zenon_H26 zenon_H2c). % 0.80/0.99 exact (zenon_H2d zenon_H28). % 0.80/0.99 exact (zenon_H2d zenon_H28). % 0.80/0.99 (* end of lemma zenon_L18_ *) % 0.80/0.99 assert (zenon_L19_ : (~(hskp11)) -> (hskp11) -> False). % 0.80/0.99 do 0 intro. intros zenon_H3f zenon_H40. % 0.80/0.99 exact (zenon_H3f zenon_H40). % 0.80/0.99 (* end of lemma zenon_L19_ *) % 0.80/0.99 assert (zenon_L20_ : (~(hskp21)) -> (hskp21) -> False). % 0.80/0.99 do 0 intro. intros zenon_H41 zenon_H42. % 0.80/0.99 exact (zenon_H41 zenon_H42). % 0.80/0.99 (* end of lemma zenon_L20_ *) % 0.80/0.99 assert (zenon_L21_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c3_1 (a682)) -> (~(c1_1 (a682))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a682))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp21)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H43 zenon_H28 zenon_H26 zenon_H36 zenon_H27 zenon_H12 zenon_H3f zenon_H41. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H35 | zenon_intro zenon_H44 ]. % 0.80/0.99 apply (zenon_L18_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.80/0.99 exact (zenon_H3f zenon_H40). % 0.80/0.99 exact (zenon_H41 zenon_H42). % 0.80/0.99 (* end of lemma zenon_L21_ *) % 0.80/0.99 assert (zenon_L22_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H45 zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.80/0.99 generalize (zenon_H45 (a671)). zenon_intro zenon_H49. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_H11 | zenon_intro zenon_H4a ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.80/0.99 exact (zenon_H4c zenon_H46). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.80/0.99 exact (zenon_H4e zenon_H47). % 0.80/0.99 exact (zenon_H4d zenon_H48). % 0.80/0.99 (* end of lemma zenon_L22_ *) % 0.80/0.99 assert (zenon_L23_ : (~(hskp8)) -> (hskp8) -> False). % 0.80/0.99 do 0 intro. intros zenon_H4f zenon_H50. % 0.80/0.99 exact (zenon_H4f zenon_H50). % 0.80/0.99 (* end of lemma zenon_L23_ *) % 0.80/0.99 assert (zenon_L24_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp21)) -> (~(hskp11)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp8)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H51 zenon_H52 zenon_H41 zenon_H3f zenon_H27 zenon_H26 zenon_H28 zenon_H43 zenon_H4f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/0.99 apply (zenon_L21_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/0.99 apply (zenon_L22_); trivial. % 0.80/0.99 exact (zenon_H4f zenon_H50). % 0.80/0.99 (* end of lemma zenon_L24_ *) % 0.80/0.99 assert (zenon_L25_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H41 zenon_H43 zenon_H12 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/0.99 apply (zenon_L17_); trivial. % 0.80/0.99 apply (zenon_L24_); trivial. % 0.80/0.99 (* end of lemma zenon_L25_ *) % 0.80/0.99 assert (zenon_L26_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a691))) -> (~(c1_1 (a691))) -> (~(c3_1 (a691))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H57 zenon_H12 zenon_H58 zenon_H59 zenon_H5a. % 0.80/0.99 generalize (zenon_H57 (a691)). zenon_intro zenon_H5b. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H11 | zenon_intro zenon_H5c ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.80/0.99 exact (zenon_H58 zenon_H5e). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.80/0.99 exact (zenon_H59 zenon_H60). % 0.80/0.99 exact (zenon_H5a zenon_H5f). % 0.80/0.99 (* end of lemma zenon_L26_ *) % 0.80/0.99 assert (zenon_L27_ : (~(hskp0)) -> (hskp0) -> False). % 0.80/0.99 do 0 intro. intros zenon_H61 zenon_H62. % 0.80/0.99 exact (zenon_H61 zenon_H62). % 0.80/0.99 (* end of lemma zenon_L27_ *) % 0.80/0.99 assert (zenon_L28_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> (~(hskp0)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H63 zenon_H64 zenon_H9 zenon_H61. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H57 | zenon_intro zenon_H67 ]. % 0.80/0.99 apply (zenon_L26_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_Ha | zenon_intro zenon_H62 ]. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 exact (zenon_H61 zenon_H62). % 0.80/0.99 (* end of lemma zenon_L28_ *) % 0.80/0.99 assert (zenon_L29_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H68 zenon_H69 zenon_H64 zenon_H61 zenon_H9 zenon_H33 zenon_H31 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/0.99 apply (zenon_L25_); trivial. % 0.80/0.99 apply (zenon_L28_); trivial. % 0.80/0.99 (* end of lemma zenon_L29_ *) % 0.80/0.99 assert (zenon_L30_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp14)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H31 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H3 zenon_H1d zenon_H20 zenon_H24. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/0.99 apply (zenon_L13_); trivial. % 0.80/0.99 apply (zenon_L29_); trivial. % 0.80/0.99 (* end of lemma zenon_L30_ *) % 0.80/0.99 assert (zenon_L31_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H6d zenon_H12 zenon_H6e zenon_H6f zenon_H70. % 0.80/0.99 generalize (zenon_H6d (a672)). zenon_intro zenon_H71. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H11 | zenon_intro zenon_H72 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 0.80/0.99 exact (zenon_H6e zenon_H74). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.80/0.99 exact (zenon_H6f zenon_H76). % 0.80/0.99 exact (zenon_H75 zenon_H70). % 0.80/0.99 (* end of lemma zenon_L31_ *) % 0.80/0.99 assert (zenon_L32_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp21)) -> (~(hskp11)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H77 zenon_H41 zenon_H3f zenon_H27 zenon_H26 zenon_H28 zenon_H43 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/0.99 apply (zenon_L21_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/0.99 apply (zenon_L31_); trivial. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 (* end of lemma zenon_L32_ *) % 0.80/0.99 assert (zenon_L33_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H68 zenon_H69 zenon_H64 zenon_H61 zenon_H43 zenon_H3f zenon_H6e zenon_H6f zenon_H70 zenon_H9 zenon_H77. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/0.99 apply (zenon_L32_); trivial. % 0.80/0.99 apply (zenon_L28_); trivial. % 0.80/0.99 (* end of lemma zenon_L33_ *) % 0.80/0.99 assert (zenon_L34_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp14)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H43 zenon_H3f zenon_H6e zenon_H6f zenon_H70 zenon_H77 zenon_Hf zenon_H9 zenon_H3 zenon_H1d zenon_H20 zenon_H24. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/0.99 apply (zenon_L13_); trivial. % 0.80/0.99 apply (zenon_L33_); trivial. % 0.80/0.99 (* end of lemma zenon_L34_ *) % 0.80/0.99 assert (zenon_L35_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H79 zenon_H77 zenon_H24 zenon_H20 zenon_H1d zenon_H3 zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/0.99 apply (zenon_L30_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/0.99 apply (zenon_L34_); trivial. % 0.80/0.99 (* end of lemma zenon_L35_ *) % 0.80/0.99 assert (zenon_L36_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H7d zenon_H12 zenon_H7e zenon_H7f zenon_H80. % 0.80/0.99 generalize (zenon_H7d (a665)). zenon_intro zenon_H81. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_H11 | zenon_intro zenon_H82 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.80/0.99 exact (zenon_H7e zenon_H84). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.80/0.99 exact (zenon_H7f zenon_H86). % 0.80/0.99 exact (zenon_H85 zenon_H80). % 0.80/0.99 (* end of lemma zenon_L36_ *) % 0.80/0.99 assert (zenon_L37_ : (~(hskp6)) -> (hskp6) -> False). % 0.80/0.99 do 0 intro. intros zenon_H87 zenon_H88. % 0.80/0.99 exact (zenon_H87 zenon_H88). % 0.80/0.99 (* end of lemma zenon_L37_ *) % 0.80/0.99 assert (zenon_L38_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H89 zenon_H80 zenon_H7f zenon_H7e zenon_H12 zenon_H87 zenon_H9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.80/0.99 apply (zenon_L36_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.80/0.99 exact (zenon_H87 zenon_H88). % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 (* end of lemma zenon_L38_ *) % 0.80/0.99 assert (zenon_L39_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H8b zenon_H89 zenon_H87 zenon_H9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.80/0.99 apply (zenon_L38_); trivial. % 0.80/0.99 (* end of lemma zenon_L39_ *) % 0.80/0.99 assert (zenon_L40_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H1d zenon_H20 zenon_H24 zenon_H77 zenon_H79. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/0.99 apply (zenon_L35_); trivial. % 0.80/0.99 apply (zenon_L39_); trivial. % 0.80/0.99 (* end of lemma zenon_L40_ *) % 0.80/0.99 assert (zenon_L41_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c0_1 (a675)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H8f zenon_H12 zenon_H90 zenon_H91 zenon_H92. % 0.80/0.99 generalize (zenon_H8f (a675)). zenon_intro zenon_H93. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H93); [ zenon_intro zenon_H11 | zenon_intro zenon_H94 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 0.80/0.99 exact (zenon_H90 zenon_H96). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.80/0.99 exact (zenon_H91 zenon_H98). % 0.80/0.99 exact (zenon_H97 zenon_H92). % 0.80/0.99 (* end of lemma zenon_L41_ *) % 0.80/0.99 assert (zenon_L42_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H57 zenon_H12 zenon_H8f zenon_H90 zenon_H91. % 0.80/0.99 generalize (zenon_H57 (a675)). zenon_intro zenon_H99. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_H11 | zenon_intro zenon_H9a ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H92 | zenon_intro zenon_H9b ]. % 0.80/0.99 apply (zenon_L41_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H96 | zenon_intro zenon_H98 ]. % 0.80/0.99 exact (zenon_H90 zenon_H96). % 0.80/0.99 exact (zenon_H91 zenon_H98). % 0.80/0.99 (* end of lemma zenon_L42_ *) % 0.80/0.99 assert (zenon_L43_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H7d zenon_H12 zenon_H97 zenon_H90 zenon_H9c. % 0.80/0.99 generalize (zenon_H7d (a675)). zenon_intro zenon_H9d. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_H11 | zenon_intro zenon_H9e ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H92 | zenon_intro zenon_H9f ]. % 0.80/0.99 exact (zenon_H97 zenon_H92). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha0 ]. % 0.80/0.99 exact (zenon_H90 zenon_H96). % 0.80/0.99 exact (zenon_Ha0 zenon_H9c). % 0.80/0.99 (* end of lemma zenon_L43_ *) % 0.80/0.99 assert (zenon_L44_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a675)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Ha1 zenon_H12 zenon_H90 zenon_H7d zenon_H9c. % 0.80/0.99 generalize (zenon_Ha1 (a675)). zenon_intro zenon_Ha2. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Ha2); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha3 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H96 | zenon_intro zenon_Ha4 ]. % 0.80/0.99 exact (zenon_H90 zenon_H96). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha0 ]. % 0.80/0.99 apply (zenon_L43_); trivial. % 0.80/0.99 exact (zenon_Ha0 zenon_H9c). % 0.80/0.99 (* end of lemma zenon_L44_ *) % 0.80/0.99 assert (zenon_L45_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Ha5 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.80/0.99 generalize (zenon_Ha5 (a657)). zenon_intro zenon_Ha9. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_H11 | zenon_intro zenon_Haa ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.80/0.99 exact (zenon_Ha6 zenon_Hac). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ]. % 0.80/0.99 exact (zenon_Hae zenon_Ha7). % 0.80/0.99 exact (zenon_Had zenon_Ha8). % 0.80/0.99 (* end of lemma zenon_L45_ *) % 0.80/0.99 assert (zenon_L46_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a675))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Haf zenon_H91 zenon_H57 zenon_H9c zenon_H7d zenon_H90 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/0.99 apply (zenon_L42_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/0.99 apply (zenon_L44_); trivial. % 0.80/0.99 apply (zenon_L45_); trivial. % 0.80/0.99 (* end of lemma zenon_L46_ *) % 0.80/0.99 assert (zenon_L47_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hb1 zenon_H12 zenon_H90 zenon_H91 zenon_H9c. % 0.80/0.99 generalize (zenon_Hb1 (a675)). zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Hb2); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb3 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H96 | zenon_intro zenon_Hb4 ]. % 0.80/0.99 exact (zenon_H90 zenon_H96). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha0 ]. % 0.80/0.99 exact (zenon_H91 zenon_H98). % 0.80/0.99 exact (zenon_Ha0 zenon_H9c). % 0.80/0.99 (* end of lemma zenon_L47_ *) % 0.80/0.99 assert (zenon_L48_ : (~(hskp5)) -> (hskp5) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hb5 zenon_Hb6. % 0.80/0.99 exact (zenon_Hb5 zenon_Hb6). % 0.80/0.99 (* end of lemma zenon_L48_ *) % 0.80/0.99 assert (zenon_L49_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hb7 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H57 zenon_Haf zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_Hb5. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/0.99 apply (zenon_L46_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/0.99 apply (zenon_L47_); trivial. % 0.80/0.99 exact (zenon_Hb5 zenon_Hb6). % 0.80/0.99 (* end of lemma zenon_L49_ *) % 0.80/0.99 assert (zenon_L50_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> ((hskp1)\/((hskp14)\/(hskp17))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_Hb7 zenon_Hb5 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Haf zenon_H9 zenon_H61 zenon_H64 zenon_Hb9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/0.99 apply (zenon_L4_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H57 | zenon_intro zenon_H67 ]. % 0.80/0.99 apply (zenon_L49_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_Ha | zenon_intro zenon_H62 ]. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 exact (zenon_H61 zenon_H62). % 0.80/0.99 apply (zenon_L39_); trivial. % 0.80/0.99 (* end of lemma zenon_L50_ *) % 0.80/0.99 assert (zenon_L51_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H35 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf. % 0.80/0.99 generalize (zenon_H35 (a652)). zenon_intro zenon_Hc0. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc1 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 0.80/0.99 exact (zenon_Hbd zenon_Hc3). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.80/0.99 exact (zenon_Hc5 zenon_Hbe). % 0.80/0.99 exact (zenon_Hc4 zenon_Hbf). % 0.80/0.99 (* end of lemma zenon_L51_ *) % 0.80/0.99 assert (zenon_L52_ : (~(hskp23)) -> (hskp23) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hc6 zenon_Hc7. % 0.80/0.99 exact (zenon_Hc6 zenon_Hc7). % 0.80/0.99 (* end of lemma zenon_L52_ *) % 0.80/0.99 assert (zenon_L53_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp23)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hc8 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_Hb5 zenon_Hc6. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H35 | zenon_intro zenon_Hc9 ]. % 0.80/0.99 apply (zenon_L51_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc7 ]. % 0.80/0.99 exact (zenon_Hb5 zenon_Hb6). % 0.80/0.99 exact (zenon_Hc6 zenon_Hc7). % 0.80/0.99 (* end of lemma zenon_L53_ *) % 0.80/0.99 assert (zenon_L54_ : (~(hskp3)) -> (hskp3) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hca zenon_Hcb. % 0.80/0.99 exact (zenon_Hca zenon_Hcb). % 0.80/0.99 (* end of lemma zenon_L54_ *) % 0.80/0.99 assert (zenon_L55_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hcc zenon_Hcd zenon_H87 zenon_Hca. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.80/0.99 generalize (zenon_Hd4 (a695)). zenon_intro zenon_Hd5. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd6 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 0.80/0.99 exact (zenon_Hd2 zenon_Hd8). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.80/0.99 exact (zenon_Hd1 zenon_Hda). % 0.80/0.99 exact (zenon_Hd9 zenon_Hd0). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.80/0.99 exact (zenon_H87 zenon_H88). % 0.80/0.99 exact (zenon_Hca zenon_Hcb). % 0.80/0.99 (* end of lemma zenon_L55_ *) % 0.80/0.99 assert (zenon_L56_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hdb zenon_Hcd zenon_Hca zenon_H87 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/0.99 apply (zenon_L53_); trivial. % 0.80/0.99 apply (zenon_L55_); trivial. % 0.80/0.99 (* end of lemma zenon_L56_ *) % 0.80/0.99 assert (zenon_L57_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (ndr1_0) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hdc zenon_H12 zenon_Hdd zenon_Hde zenon_Hdf. % 0.80/0.99 generalize (zenon_Hdc (a648)). zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_H11 | zenon_intro zenon_He1 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.80/0.99 exact (zenon_Hdd zenon_He3). % 0.80/0.99 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ]. % 0.80/0.99 exact (zenon_Hde zenon_He5). % 0.80/0.99 exact (zenon_He4 zenon_Hdf). % 0.80/0.99 (* end of lemma zenon_L57_ *) % 0.80/0.99 assert (zenon_L58_ : (~(hskp20)) -> (hskp20) -> False). % 0.80/0.99 do 0 intro. intros zenon_He6 zenon_He7. % 0.80/0.99 exact (zenon_He6 zenon_He7). % 0.80/0.99 (* end of lemma zenon_L58_ *) % 0.80/0.99 assert (zenon_L59_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp5)) -> False). % 0.80/0.99 do 0 intro. intros zenon_He8 zenon_Hdf zenon_Hde zenon_Hdd zenon_H12 zenon_He6 zenon_Hb5. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hdc | zenon_intro zenon_He9 ]. % 0.80/0.99 apply (zenon_L57_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He7 | zenon_intro zenon_Hb6 ]. % 0.80/0.99 exact (zenon_He6 zenon_He7). % 0.80/0.99 exact (zenon_Hb5 zenon_Hb6). % 0.80/0.99 (* end of lemma zenon_L59_ *) % 0.80/0.99 assert (zenon_L60_ : (~(hskp10)) -> (hskp10) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hea zenon_Heb. % 0.80/0.99 exact (zenon_Hea zenon_Heb). % 0.80/0.99 (* end of lemma zenon_L60_ *) % 0.80/0.99 assert (zenon_L61_ : (~(hskp29)) -> (hskp29) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hec zenon_Hed. % 0.80/0.99 exact (zenon_Hec zenon_Hed). % 0.80/0.99 (* end of lemma zenon_L61_ *) % 0.80/0.99 assert (zenon_L62_ : ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp29)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hee zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H12 zenon_Hea zenon_Hec. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf2 ]. % 0.80/0.99 generalize (zenon_Hf3 (a686)). zenon_intro zenon_Hf4. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Hf4); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf5 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 0.80/0.99 exact (zenon_Hf1 zenon_Hf7). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.80/0.99 exact (zenon_Hf9 zenon_Hf0). % 0.80/0.99 exact (zenon_Hf8 zenon_Hef). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Heb | zenon_intro zenon_Hed ]. % 0.80/0.99 exact (zenon_Hea zenon_Heb). % 0.80/0.99 exact (zenon_Hec zenon_Hed). % 0.80/0.99 (* end of lemma zenon_L62_ *) % 0.80/0.99 assert (zenon_L63_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c1_1 (a688)) -> (c2_1 (a688)) -> (c3_1 (a688)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hfa zenon_H12 zenon_Hfb zenon_Hfc zenon_Hfd. % 0.80/0.99 generalize (zenon_Hfa (a688)). zenon_intro zenon_Hfe. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H11 | zenon_intro zenon_Hff ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 0.80/0.99 exact (zenon_H101 zenon_Hfb). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ]. % 0.80/0.99 exact (zenon_H103 zenon_Hfc). % 0.80/0.99 exact (zenon_H102 zenon_Hfd). % 0.80/0.99 (* end of lemma zenon_L63_ *) % 0.80/0.99 assert (zenon_L64_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(hskp11)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H104 zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H3f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/0.99 apply (zenon_L57_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/0.99 apply (zenon_L63_); trivial. % 0.80/0.99 exact (zenon_H3f zenon_H40). % 0.80/0.99 (* end of lemma zenon_L64_ *) % 0.80/0.99 assert (zenon_L65_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H109 zenon_H10a zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_Hea zenon_Hee. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/0.99 apply (zenon_L62_); trivial. % 0.80/0.99 apply (zenon_L64_); trivial. % 0.80/0.99 (* end of lemma zenon_L65_ *) % 0.80/0.99 assert (zenon_L66_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10d zenon_H10e zenon_Hdf zenon_Hde zenon_Hdd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/0.99 apply (zenon_L57_); trivial. % 0.80/0.99 apply (zenon_L45_); trivial. % 0.80/0.99 (* end of lemma zenon_L66_ *) % 0.80/0.99 assert (zenon_L67_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (ndr1_0) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H111 zenon_H10e zenon_He8 zenon_Hb5 zenon_Hdf zenon_Hde zenon_Hdd zenon_H12 zenon_Hee zenon_Hea zenon_H105 zenon_H10a zenon_H112. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/0.99 apply (zenon_L59_); trivial. % 0.80/0.99 apply (zenon_L65_); trivial. % 0.80/0.99 apply (zenon_L66_); trivial. % 0.80/0.99 (* end of lemma zenon_L67_ *) % 0.80/0.99 assert (zenon_L68_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c3_1 (a656)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H113 zenon_H12 zenon_H114 zenon_H115 zenon_H116. % 0.80/0.99 generalize (zenon_H113 (a656)). zenon_intro zenon_H117. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H117); [ zenon_intro zenon_H11 | zenon_intro zenon_H118 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.80/0.99 exact (zenon_H114 zenon_H11a). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 0.80/0.99 exact (zenon_H11c zenon_H115). % 0.80/0.99 exact (zenon_H11b zenon_H116). % 0.80/0.99 (* end of lemma zenon_L68_ *) % 0.80/0.99 assert (zenon_L69_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H8f zenon_H12 zenon_H114 zenon_H113 zenon_H115 zenon_H11d. % 0.80/0.99 generalize (zenon_H8f (a656)). zenon_intro zenon_H11e. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H11e); [ zenon_intro zenon_H11 | zenon_intro zenon_H11f ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H11a | zenon_intro zenon_H120 ]. % 0.80/0.99 exact (zenon_H114 zenon_H11a). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H116 | zenon_intro zenon_H121 ]. % 0.80/0.99 apply (zenon_L68_); trivial. % 0.80/0.99 exact (zenon_H121 zenon_H11d). % 0.80/0.99 (* end of lemma zenon_L69_ *) % 0.80/0.99 assert (zenon_L70_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (~(hskp17)) -> (~(hskp19)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_H8f zenon_H5 zenon_Hd. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H113 | zenon_intro zenon_H123 ]. % 0.80/0.99 apply (zenon_L69_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_He ]. % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 exact (zenon_Hd zenon_He). % 0.80/0.99 (* end of lemma zenon_L70_ *) % 0.80/0.99 assert (zenon_L71_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Ha1 zenon_H12 zenon_H114 zenon_H11d zenon_H115. % 0.80/0.99 generalize (zenon_Ha1 (a656)). zenon_intro zenon_H124. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H11 | zenon_intro zenon_H125 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H11a | zenon_intro zenon_H126 ]. % 0.80/0.99 exact (zenon_H114 zenon_H11a). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H11c ]. % 0.80/0.99 exact (zenon_H121 zenon_H11d). % 0.80/0.99 exact (zenon_H11c zenon_H115). % 0.80/0.99 (* end of lemma zenon_L71_ *) % 0.80/0.99 assert (zenon_L72_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Ha5 zenon_H12 zenon_H113 zenon_H114 zenon_H115 zenon_H11d. % 0.80/0.99 generalize (zenon_Ha5 (a656)). zenon_intro zenon_H127. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H11 | zenon_intro zenon_H128 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H116 | zenon_intro zenon_H126 ]. % 0.80/0.99 apply (zenon_L68_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H121 | zenon_intro zenon_H11c ]. % 0.80/0.99 exact (zenon_H121 zenon_H11d). % 0.80/0.99 exact (zenon_H11c zenon_H115). % 0.80/0.99 (* end of lemma zenon_L72_ *) % 0.80/0.99 assert (zenon_L73_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(hskp17)) -> (~(hskp19)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_Ha5 zenon_H5 zenon_Hd. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H113 | zenon_intro zenon_H123 ]. % 0.80/0.99 apply (zenon_L72_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_He ]. % 0.80/0.99 exact (zenon_H5 zenon_H6). % 0.80/0.99 exact (zenon_Hd zenon_He). % 0.80/0.99 (* end of lemma zenon_L73_ *) % 0.80/0.99 assert (zenon_L74_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp19)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Haf zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_H5 zenon_Hd. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/0.99 apply (zenon_L70_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/0.99 apply (zenon_L71_); trivial. % 0.80/0.99 apply (zenon_L73_); trivial. % 0.80/0.99 (* end of lemma zenon_L74_ *) % 0.80/0.99 assert (zenon_L75_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp17)) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H9 zenon_H33 zenon_H31 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_H122 zenon_H5 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_Haf. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/0.99 apply (zenon_L74_); trivial. % 0.80/0.99 apply (zenon_L29_); trivial. % 0.80/0.99 (* end of lemma zenon_L75_ *) % 0.80/0.99 assert (zenon_L76_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (~(hskp5)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hba zenon_Hb7 zenon_H80 zenon_H7f zenon_H7e zenon_Hb5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/0.99 apply (zenon_L36_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/0.99 apply (zenon_L47_); trivial. % 0.80/0.99 exact (zenon_Hb5 zenon_Hb6). % 0.80/0.99 (* end of lemma zenon_L76_ *) % 0.80/0.99 assert (zenon_L77_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_H80 zenon_H7f zenon_H7e zenon_Haf zenon_H12 zenon_H114 zenon_H115 zenon_H11d zenon_H122 zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H43 zenon_H31 zenon_H33 zenon_H9 zenon_H61 zenon_H64 zenon_H69 zenon_H6c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/0.99 apply (zenon_L75_); trivial. % 0.80/0.99 apply (zenon_L76_); trivial. % 0.80/0.99 (* end of lemma zenon_L77_ *) % 0.80/0.99 assert (zenon_L78_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a693))) -> (~(c1_1 (a693))) -> (c3_1 (a693)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H36 zenon_H12 zenon_H14 zenon_H129 zenon_H16. % 0.80/0.99 generalize (zenon_H36 (a693)). zenon_intro zenon_H12a. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H12a); [ zenon_intro zenon_H11 | zenon_intro zenon_H12b ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H1a | zenon_intro zenon_H12c ]. % 0.80/0.99 exact (zenon_H14 zenon_H1a). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b ]. % 0.80/0.99 exact (zenon_H129 zenon_H12d). % 0.80/0.99 exact (zenon_H1b zenon_H16). % 0.80/0.99 (* end of lemma zenon_L78_ *) % 0.80/0.99 assert (zenon_L79_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a693))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hfa zenon_H12 zenon_H36 zenon_H14 zenon_H16 zenon_H15. % 0.80/0.99 generalize (zenon_Hfa (a693)). zenon_intro zenon_H12e. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H11 | zenon_intro zenon_H12f ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H129 | zenon_intro zenon_H19 ]. % 0.80/0.99 apply (zenon_L78_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.80/0.99 exact (zenon_H1c zenon_H15). % 0.80/0.99 exact (zenon_H1b zenon_H16). % 0.80/0.99 (* end of lemma zenon_L79_ *) % 0.80/0.99 assert (zenon_L80_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (~(c0_1 (a693))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H15 zenon_H16 zenon_H14 zenon_H36 zenon_H12 zenon_H3f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/0.99 apply (zenon_L57_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/0.99 apply (zenon_L79_); trivial. % 0.80/0.99 exact (zenon_H3f zenon_H40). % 0.80/0.99 (* end of lemma zenon_L80_ *) % 0.80/0.99 assert (zenon_L81_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp11)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (~(hskp2)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1f zenon_H77 zenon_H3f zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H70 zenon_H6f zenon_H6e zenon_H9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/0.99 apply (zenon_L80_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/0.99 apply (zenon_L31_); trivial. % 0.80/0.99 exact (zenon_H9 zenon_Ha). % 0.80/0.99 (* end of lemma zenon_L81_ *) % 0.80/0.99 assert (zenon_L82_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp2)) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_H77 zenon_H70 zenon_H6f zenon_H6e zenon_Hdd zenon_Hde zenon_Hdf zenon_H3f zenon_H105 zenon_H9 zenon_Hd zenon_Hf. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/0.99 apply (zenon_L8_); trivial. % 0.80/0.99 apply (zenon_L81_); trivial. % 0.80/0.99 (* end of lemma zenon_L82_ *) % 0.80/0.99 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H7a zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H43 zenon_Hf zenon_H9 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H77 zenon_H24. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/0.99 apply (zenon_L82_); trivial. % 0.80/0.99 apply (zenon_L33_); trivial. % 0.80/0.99 (* end of lemma zenon_L83_ *) % 0.80/0.99 assert (zenon_L84_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp21)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H43 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_H3f zenon_H41. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H35 | zenon_intro zenon_H44 ]. % 0.80/0.99 apply (zenon_L51_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.80/0.99 exact (zenon_H3f zenon_H40). % 0.80/0.99 exact (zenon_H41 zenon_H42). % 0.80/0.99 (* end of lemma zenon_L84_ *) % 0.80/0.99 assert (zenon_L85_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H69 zenon_H64 zenon_H61 zenon_H9 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_L28_); trivial. % 0.80/0.99 (* end of lemma zenon_L85_ *) % 0.80/0.99 assert (zenon_L86_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H130 zenon_H111 zenon_H10e zenon_Hdf zenon_Hde zenon_Hdd zenon_H43 zenon_H9 zenon_H61 zenon_H64 zenon_H69. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/0.99 apply (zenon_L85_); trivial. % 0.80/0.99 apply (zenon_L66_); trivial. % 0.80/0.99 (* end of lemma zenon_L86_ *) % 0.80/0.99 assert (zenon_L87_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd4 zenon_H12 zenon_H8f zenon_H90 zenon_H91 zenon_H9c. % 0.80/0.99 generalize (zenon_Hd4 (a675)). zenon_intro zenon_H133. % 0.80/0.99 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_H11 | zenon_intro zenon_H134 ]. % 0.80/0.99 exact (zenon_H11 zenon_H12). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H92 | zenon_intro zenon_Hb4 ]. % 0.80/0.99 apply (zenon_L41_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha0 ]. % 0.80/0.99 exact (zenon_H91 zenon_H98). % 0.80/0.99 exact (zenon_Ha0 zenon_H9c). % 0.80/0.99 (* end of lemma zenon_L87_ *) % 0.80/0.99 assert (zenon_L88_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (ndr1_0) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hcd zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H12 zenon_H90 zenon_H7d zenon_H9c zenon_H91 zenon_Haf zenon_H87 zenon_Hca. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/0.99 apply (zenon_L87_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/0.99 apply (zenon_L44_); trivial. % 0.80/0.99 apply (zenon_L45_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.80/0.99 exact (zenon_H87 zenon_H88). % 0.80/0.99 exact (zenon_Hca zenon_Hcb). % 0.80/0.99 (* end of lemma zenon_L88_ *) % 0.80/0.99 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hba zenon_H89 zenon_Hca zenon_Haf zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Hcd zenon_H87 zenon_H9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.80/1.00 apply (zenon_L88_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.80/1.00 exact (zenon_H87 zenon_H88). % 0.80/1.00 exact (zenon_H9 zenon_Ha). % 0.80/1.00 (* end of lemma zenon_L89_ *) % 0.80/1.00 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((hskp1)\/((hskp14)\/(hskp17))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H10d zenon_H8e zenon_H7 zenon_H1 zenon_Hcd zenon_Hca zenon_H87 zenon_Haf zenon_H9 zenon_H89 zenon_Hb9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.00 apply (zenon_L4_); trivial. % 0.80/1.00 apply (zenon_L89_); trivial. % 0.80/1.00 apply (zenon_L39_); trivial. % 0.80/1.00 (* end of lemma zenon_L90_ *) % 0.80/1.00 assert (zenon_L91_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((hskp1)\/((hskp14)\/(hskp17))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H111 zenon_H7 zenon_H1 zenon_Hcd zenon_Hca zenon_Haf zenon_Hb9 zenon_H79 zenon_H77 zenon_H24 zenon_H20 zenon_H1d zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c zenon_H87 zenon_H89 zenon_H8e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.00 apply (zenon_L40_); trivial. % 0.80/1.00 apply (zenon_L90_); trivial. % 0.80/1.00 (* end of lemma zenon_L91_ *) % 0.80/1.00 assert (zenon_L92_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H135 zenon_H12 zenon_H136 zenon_H137 zenon_H138. % 0.80/1.00 generalize (zenon_H135 (a647)). zenon_intro zenon_H139. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_H11 | zenon_intro zenon_H13a ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.80/1.00 exact (zenon_H136 zenon_H13c). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.80/1.00 exact (zenon_H137 zenon_H13e). % 0.80/1.00 exact (zenon_H13d zenon_H138). % 0.80/1.00 (* end of lemma zenon_L92_ *) % 0.80/1.00 assert (zenon_L93_ : (~(hskp12)) -> (hskp12) -> False). % 0.80/1.00 do 0 intro. intros zenon_H13f zenon_H140. % 0.80/1.00 exact (zenon_H13f zenon_H140). % 0.80/1.00 (* end of lemma zenon_L93_ *) % 0.80/1.00 assert (zenon_L94_ : (~(hskp13)) -> (hskp13) -> False). % 0.80/1.00 do 0 intro. intros zenon_H141 zenon_H142. % 0.80/1.00 exact (zenon_H141 zenon_H142). % 0.80/1.00 (* end of lemma zenon_L94_ *) % 0.80/1.00 assert (zenon_L95_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H12 zenon_H13f zenon_H141. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.80/1.00 apply (zenon_L92_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.80/1.00 exact (zenon_H13f zenon_H140). % 0.80/1.00 exact (zenon_H141 zenon_H142). % 0.80/1.00 (* end of lemma zenon_L95_ *) % 0.80/1.00 assert (zenon_L96_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a693))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H113 zenon_H12 zenon_H129 zenon_H15 zenon_H16. % 0.80/1.00 generalize (zenon_H113 (a693)). zenon_intro zenon_H145. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H145); [ zenon_intro zenon_H11 | zenon_intro zenon_H146 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H12d | zenon_intro zenon_H19 ]. % 0.80/1.00 exact (zenon_H129 zenon_H12d). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.80/1.00 exact (zenon_H1c zenon_H15). % 0.80/1.00 exact (zenon_H1b zenon_H16). % 0.80/1.00 (* end of lemma zenon_L96_ *) % 0.80/1.00 assert (zenon_L97_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hfa zenon_H12 zenon_H113 zenon_H15 zenon_H16. % 0.80/1.00 generalize (zenon_Hfa (a693)). zenon_intro zenon_H12e. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H11 | zenon_intro zenon_H12f ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H129 | zenon_intro zenon_H19 ]. % 0.80/1.00 apply (zenon_L96_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.80/1.00 exact (zenon_H1c zenon_H15). % 0.80/1.00 exact (zenon_H1b zenon_H16). % 0.80/1.00 (* end of lemma zenon_L97_ *) % 0.80/1.00 assert (zenon_L98_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H16 zenon_H15 zenon_H113 zenon_H12 zenon_H3f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.00 apply (zenon_L57_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.00 apply (zenon_L97_); trivial. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 (* end of lemma zenon_L98_ *) % 0.80/1.00 assert (zenon_L99_ : (~(hskp27)) -> (hskp27) -> False). % 0.80/1.00 do 0 intro. intros zenon_H147 zenon_H148. % 0.80/1.00 exact (zenon_H147 zenon_H148). % 0.80/1.00 (* end of lemma zenon_L99_ *) % 0.80/1.00 assert (zenon_L100_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp11)) -> (ndr1_0) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp27)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H149 zenon_H138 zenon_H137 zenon_H136 zenon_H3f zenon_H12 zenon_H15 zenon_H16 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H147. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L92_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.80/1.00 apply (zenon_L98_); trivial. % 0.80/1.00 exact (zenon_H147 zenon_H148). % 0.80/1.00 (* end of lemma zenon_L100_ *) % 0.80/1.00 assert (zenon_L101_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c0_1 (a647))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H6d zenon_H12 zenon_H14b zenon_H136 zenon_H138 zenon_H137. % 0.80/1.00 generalize (zenon_H6d (a647)). zenon_intro zenon_H14c. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H11 | zenon_intro zenon_H14d ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H14e | zenon_intro zenon_H13b ]. % 0.80/1.00 generalize (zenon_H14b (a647)). zenon_intro zenon_H14f. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_H11 | zenon_intro zenon_H150 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13c | zenon_intro zenon_H151 ]. % 0.80/1.00 exact (zenon_H136 zenon_H13c). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H13d | zenon_intro zenon_H152 ]. % 0.80/1.00 exact (zenon_H13d zenon_H138). % 0.80/1.00 exact (zenon_H152 zenon_H14e). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.80/1.00 exact (zenon_H137 zenon_H13e). % 0.80/1.00 exact (zenon_H13d zenon_H138). % 0.80/1.00 (* end of lemma zenon_L101_ *) % 0.80/1.00 assert (zenon_L102_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H8f zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.00 generalize (zenon_H8f (a661)). zenon_intro zenon_H156. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H156); [ zenon_intro zenon_H11 | zenon_intro zenon_H157 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ]. % 0.80/1.00 exact (zenon_H153 zenon_H159). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.80/1.00 exact (zenon_H154 zenon_H15b). % 0.80/1.00 exact (zenon_H15a zenon_H155). % 0.80/1.00 (* end of lemma zenon_L102_ *) % 0.80/1.00 assert (zenon_L103_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53)))))) -> (c0_1 (a655)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hfa zenon_H12 zenon_Ha1 zenon_H15c zenon_H15d zenon_H15e. % 0.80/1.00 generalize (zenon_Hfa (a655)). zenon_intro zenon_H15f. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H11 | zenon_intro zenon_H160 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ]. % 0.80/1.00 generalize (zenon_Ha1 (a655)). zenon_intro zenon_H163. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H163); [ zenon_intro zenon_H11 | zenon_intro zenon_H164 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ]. % 0.80/1.00 exact (zenon_H162 zenon_H166). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.80/1.00 exact (zenon_H168 zenon_H15c). % 0.80/1.00 exact (zenon_H167 zenon_H15d). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H167 | zenon_intro zenon_H169 ]. % 0.80/1.00 exact (zenon_H167 zenon_H15d). % 0.80/1.00 exact (zenon_H169 zenon_H15e). % 0.80/1.00 (* end of lemma zenon_L103_ *) % 0.80/1.00 assert (zenon_L104_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> (c2_1 (a661)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Ha5 zenon_H12 zenon_H154 zenon_H155 zenon_H16a. % 0.80/1.00 generalize (zenon_Ha5 (a661)). zenon_intro zenon_H16b. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H16b); [ zenon_intro zenon_H11 | zenon_intro zenon_H16c ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15b | zenon_intro zenon_H16d ]. % 0.80/1.00 exact (zenon_H154 zenon_H15b). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H15a | zenon_intro zenon_H16e ]. % 0.80/1.00 exact (zenon_H15a zenon_H155). % 0.80/1.00 exact (zenon_H16e zenon_H16a). % 0.80/1.00 (* end of lemma zenon_L104_ *) % 0.80/1.00 assert (zenon_L105_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H16f zenon_H12 zenon_H153 zenon_Ha5 zenon_H154 zenon_H155. % 0.80/1.00 generalize (zenon_H16f (a661)). zenon_intro zenon_H170. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H170); [ zenon_intro zenon_H11 | zenon_intro zenon_H171 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H159 | zenon_intro zenon_H172 ]. % 0.80/1.00 exact (zenon_H153 zenon_H159). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H16a | zenon_intro zenon_H15a ]. % 0.80/1.00 apply (zenon_L104_); trivial. % 0.80/1.00 exact (zenon_H15a zenon_H155). % 0.80/1.00 (* end of lemma zenon_L105_ *) % 0.80/1.00 assert (zenon_L106_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_Hfa zenon_H16f zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.00 apply (zenon_L102_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.00 apply (zenon_L103_); trivial. % 0.80/1.00 apply (zenon_L105_); trivial. % 0.80/1.00 (* end of lemma zenon_L106_ *) % 0.80/1.00 assert (zenon_L107_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(c0_1 (a647))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H173 zenon_H137 zenon_H138 zenon_H136 zenon_H6d zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_Hfa zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.00 apply (zenon_L92_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.00 apply (zenon_L101_); trivial. % 0.80/1.00 apply (zenon_L106_); trivial. % 0.80/1.00 (* end of lemma zenon_L107_ *) % 0.80/1.00 assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H175 zenon_H79 zenon_H24 zenon_H176 zenon_H77 zenon_H173 zenon_Haf zenon_Hca zenon_H177 zenon_H136 zenon_H137 zenon_H138 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H149 zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L8_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.80/1.00 apply (zenon_L100_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/1.00 apply (zenon_L80_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.80/1.00 apply (zenon_L80_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.80/1.00 apply (zenon_L107_); trivial. % 0.80/1.00 exact (zenon_Hca zenon_Hcb). % 0.80/1.00 exact (zenon_H9 zenon_Ha). % 0.80/1.00 apply (zenon_L29_); trivial. % 0.80/1.00 apply (zenon_L83_); trivial. % 0.80/1.00 (* end of lemma zenon_L108_ *) % 0.80/1.00 assert (zenon_L109_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H17e zenon_H79 zenon_H24 zenon_H176 zenon_H77 zenon_H173 zenon_Haf zenon_Hca zenon_H177 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H149 zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H13f zenon_H143. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.00 apply (zenon_L95_); trivial. % 0.80/1.00 apply (zenon_L108_); trivial. % 0.80/1.00 (* end of lemma zenon_L109_ *) % 0.80/1.00 assert (zenon_L110_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H79 zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H77 zenon_H24 zenon_H20 zenon_H1d zenon_H3 zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.00 apply (zenon_L30_); trivial. % 0.80/1.00 apply (zenon_L83_); trivial. % 0.80/1.00 (* end of lemma zenon_L110_ *) % 0.80/1.00 assert (zenon_L111_ : (~(hskp18)) -> (hskp18) -> False). % 0.80/1.00 do 0 intro. intros zenon_H17f zenon_H180. % 0.80/1.00 exact (zenon_H17f zenon_H180). % 0.80/1.00 (* end of lemma zenon_L111_ *) % 0.80/1.00 assert (zenon_L112_ : (~(hskp7)) -> (hskp7) -> False). % 0.80/1.00 do 0 intro. intros zenon_H181 zenon_H182. % 0.80/1.00 exact (zenon_H181 zenon_H182). % 0.80/1.00 (* end of lemma zenon_L112_ *) % 0.80/1.00 assert (zenon_L113_ : ((hskp18)\/((hskp1)\/(hskp7))) -> (~(hskp18)) -> (~(hskp1)) -> (~(hskp7)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H183 zenon_H17f zenon_H1 zenon_H181. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H180 | zenon_intro zenon_H184 ]. % 0.80/1.00 exact (zenon_H17f zenon_H180). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H2 | zenon_intro zenon_H182 ]. % 0.80/1.00 exact (zenon_H1 zenon_H2). % 0.80/1.00 exact (zenon_H181 zenon_H182). % 0.80/1.00 (* end of lemma zenon_L113_ *) % 0.80/1.00 assert (zenon_L114_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H16f zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.00 generalize (zenon_H16f (a660)). zenon_intro zenon_H188. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H189 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 0.80/1.00 exact (zenon_H185 zenon_H18b). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 0.80/1.00 exact (zenon_H186 zenon_H18d). % 0.80/1.00 exact (zenon_H18c zenon_H187). % 0.80/1.00 (* end of lemma zenon_L114_ *) % 0.80/1.00 assert (zenon_L115_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(c0_1 (a647))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H173 zenon_H137 zenon_H138 zenon_H136 zenon_H6d zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.00 apply (zenon_L92_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.00 apply (zenon_L101_); trivial. % 0.80/1.00 apply (zenon_L114_); trivial. % 0.80/1.00 (* end of lemma zenon_L115_ *) % 0.80/1.00 assert (zenon_L116_ : (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H18e zenon_H12 zenon_H18f zenon_H190 zenon_H191. % 0.80/1.00 generalize (zenon_H18e (a676)). zenon_intro zenon_H192. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H192); [ zenon_intro zenon_H11 | zenon_intro zenon_H193 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.80/1.00 exact (zenon_H18f zenon_H195). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 0.80/1.00 exact (zenon_H197 zenon_H190). % 0.80/1.00 exact (zenon_H196 zenon_H191). % 0.80/1.00 (* end of lemma zenon_L116_ *) % 0.80/1.00 assert (zenon_L117_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H63 zenon_H198 zenon_H80 zenon_H7f zenon_H7e zenon_H18f zenon_H190 zenon_H191. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.80/1.00 apply (zenon_L26_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.80/1.00 apply (zenon_L36_); trivial. % 0.80/1.00 apply (zenon_L116_); trivial. % 0.80/1.00 (* end of lemma zenon_L117_ *) % 0.80/1.00 assert (zenon_L118_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H68 zenon_H69 zenon_H198 zenon_H191 zenon_H190 zenon_H18f zenon_H80 zenon_H7f zenon_H7e zenon_H33 zenon_H31 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.00 apply (zenon_L25_); trivial. % 0.80/1.00 apply (zenon_L117_); trivial. % 0.80/1.00 (* end of lemma zenon_L118_ *) % 0.80/1.00 assert (zenon_L119_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H19a zenon_H6c zenon_H69 zenon_H198 zenon_H80 zenon_H7f zenon_H7e zenon_H33 zenon_H31 zenon_H43 zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H173 zenon_H187 zenon_H186 zenon_H185 zenon_H138 zenon_H137 zenon_H136 zenon_H77 zenon_H24. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L8_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/1.00 apply (zenon_L80_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/1.00 apply (zenon_L115_); trivial. % 0.80/1.00 exact (zenon_H9 zenon_Ha). % 0.80/1.00 apply (zenon_L118_); trivial. % 0.80/1.00 (* end of lemma zenon_L119_ *) % 0.80/1.00 assert (zenon_L120_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H36 zenon_H12 zenon_H19d zenon_H19e zenon_H19f. % 0.80/1.00 generalize (zenon_H36 (a651)). zenon_intro zenon_H1a0. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a1 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.80/1.00 exact (zenon_H19d zenon_H1a3). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.80/1.00 exact (zenon_H19e zenon_H1a5). % 0.80/1.00 exact (zenon_H1a4 zenon_H19f). % 0.80/1.00 (* end of lemma zenon_L120_ *) % 0.80/1.00 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(c0_1 (a647))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp2)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H17a zenon_H77 zenon_Hca zenon_H173 zenon_H137 zenon_H138 zenon_H136 zenon_Haf zenon_H153 zenon_H154 zenon_H155 zenon_H19d zenon_H19e zenon_H19f zenon_H177 zenon_H9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/1.00 apply (zenon_L120_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.80/1.00 apply (zenon_L120_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.80/1.00 apply (zenon_L107_); trivial. % 0.80/1.00 exact (zenon_Hca zenon_Hcb). % 0.80/1.00 exact (zenon_H9 zenon_Ha). % 0.80/1.00 (* end of lemma zenon_L121_ *) % 0.80/1.00 assert (zenon_L122_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp8)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H51 zenon_H52 zenon_H19f zenon_H19e zenon_H19d zenon_H4f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.00 apply (zenon_L120_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.00 apply (zenon_L22_); trivial. % 0.80/1.00 exact (zenon_H4f zenon_H50). % 0.80/1.00 (* end of lemma zenon_L122_ *) % 0.80/1.00 assert (zenon_L123_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H68 zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H31 zenon_H33. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.00 apply (zenon_L17_); trivial. % 0.80/1.00 apply (zenon_L122_); trivial. % 0.80/1.00 (* end of lemma zenon_L123_ *) % 0.80/1.00 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(c0_1 (a647))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp2)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1a6 zenon_H77 zenon_H19f zenon_H19e zenon_H19d zenon_H136 zenon_H138 zenon_H137 zenon_H173 zenon_H9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/1.00 apply (zenon_L120_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/1.00 apply (zenon_L115_); trivial. % 0.80/1.00 exact (zenon_H9 zenon_Ha). % 0.80/1.00 (* end of lemma zenon_L124_ *) % 0.80/1.00 assert (zenon_L125_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H12 zenon_H6c zenon_H56 zenon_H52 zenon_H4f zenon_H33 zenon_Hf zenon_H9 zenon_H149 zenon_Hdd zenon_Hde zenon_Hdf zenon_H3f zenon_H105 zenon_H19d zenon_H19e zenon_H19f zenon_H177 zenon_Hca zenon_Haf zenon_H173 zenon_H77 zenon_H176 zenon_H24 zenon_H43 zenon_H61 zenon_H64 zenon_H69 zenon_H79 zenon_H17e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.00 apply (zenon_L95_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L8_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.80/1.00 apply (zenon_L100_); trivial. % 0.80/1.00 apply (zenon_L121_); trivial. % 0.80/1.00 apply (zenon_L123_); trivial. % 0.80/1.00 apply (zenon_L83_); trivial. % 0.80/1.00 apply (zenon_L124_); trivial. % 0.80/1.00 (* end of lemma zenon_L125_ *) % 0.80/1.00 assert (zenon_L126_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (c0_1 (a657)) -> (c1_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H45 zenon_H12 zenon_Ha7 zenon_H1aa zenon_Ha8. % 0.80/1.00 generalize (zenon_H45 (a657)). zenon_intro zenon_H1ab. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ac ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hae | zenon_intro zenon_H1ad ]. % 0.80/1.00 exact (zenon_Hae zenon_Ha7). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1ae | zenon_intro zenon_Had ]. % 0.80/1.00 exact (zenon_H1ae zenon_H1aa). % 0.80/1.00 exact (zenon_Had zenon_Ha8). % 0.80/1.00 (* end of lemma zenon_L126_ *) % 0.80/1.00 assert (zenon_L127_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> (~(c3_1 (a657))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H8f zenon_H12 zenon_H45 zenon_Ha7 zenon_Ha8 zenon_Ha6. % 0.80/1.00 generalize (zenon_H8f (a657)). zenon_intro zenon_H1af. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b0 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b1 ]. % 0.80/1.00 apply (zenon_L126_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hac | zenon_intro zenon_Hae ]. % 0.80/1.00 exact (zenon_Ha6 zenon_Hac). % 0.80/1.00 exact (zenon_Hae zenon_Ha7). % 0.80/1.00 (* end of lemma zenon_L127_ *) % 0.80/1.00 assert (zenon_L128_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Ha1 zenon_H12 zenon_H45 zenon_Ha7 zenon_Ha8. % 0.80/1.00 generalize (zenon_Ha1 (a657)). zenon_intro zenon_H1b2. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b3 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1aa | zenon_intro zenon_Hab ]. % 0.80/1.00 apply (zenon_L126_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ]. % 0.80/1.00 exact (zenon_Hae zenon_Ha7). % 0.80/1.00 exact (zenon_Had zenon_Ha8). % 0.80/1.00 (* end of lemma zenon_L128_ *) % 0.80/1.00 assert (zenon_L129_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Haf zenon_H45 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.00 apply (zenon_L127_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.00 apply (zenon_L128_); trivial. % 0.80/1.00 apply (zenon_L45_); trivial. % 0.80/1.00 (* end of lemma zenon_L129_ *) % 0.80/1.00 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp8)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H10d zenon_H52 zenon_H19f zenon_H19e zenon_H19d zenon_Haf zenon_H4f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.00 apply (zenon_L120_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.00 apply (zenon_L129_); trivial. % 0.80/1.00 exact (zenon_H4f zenon_H50). % 0.80/1.00 (* end of lemma zenon_L130_ *) % 0.80/1.00 assert (zenon_L131_ : ((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1b4 zenon_H1b5 zenon_H10e zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H6c zenon_H56 zenon_H52 zenon_H33 zenon_Hf zenon_H9 zenon_H149 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H177 zenon_Hca zenon_Haf zenon_H173 zenon_H77 zenon_H176 zenon_H24 zenon_H43 zenon_H61 zenon_H64 zenon_H69 zenon_H79 zenon_H17e zenon_H111. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.00 apply (zenon_L125_); trivial. % 0.80/1.00 apply (zenon_L130_); trivial. % 0.80/1.00 apply (zenon_L86_); trivial. % 0.80/1.00 (* end of lemma zenon_L131_ *) % 0.80/1.00 assert (zenon_L132_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c0_1 (a646)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hdc zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1ba. % 0.80/1.00 generalize (zenon_Hdc (a646)). zenon_intro zenon_H1bb. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1bc ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1be | zenon_intro zenon_H1bd ]. % 0.80/1.00 exact (zenon_H1b8 zenon_H1be). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 0.80/1.00 exact (zenon_H1b9 zenon_H1c0). % 0.80/1.00 exact (zenon_H1bf zenon_H1ba). % 0.80/1.00 (* end of lemma zenon_L132_ *) % 0.80/1.00 assert (zenon_L133_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c1 zenon_H12 zenon_Hdc zenon_H1b8 zenon_H1b9 zenon_H1c2. % 0.80/1.00 generalize (zenon_H1c1 (a646)). zenon_intro zenon_H1c3. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c4 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1c5 ]. % 0.80/1.00 apply (zenon_L132_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1be ]. % 0.80/1.00 exact (zenon_H1c2 zenon_H1c6). % 0.80/1.00 exact (zenon_H1b8 zenon_H1be). % 0.80/1.00 (* end of lemma zenon_L133_ *) % 0.80/1.00 assert (zenon_L134_ : (~(hskp26)) -> (hskp26) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c7 zenon_H1c8. % 0.80/1.00 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.00 (* end of lemma zenon_L134_ *) % 0.80/1.00 assert (zenon_L135_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp19)) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c9 zenon_Hd zenon_H4f zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H1ca zenon_H1c7 zenon_H61. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1cc ]. % 0.80/1.00 apply (zenon_L133_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H50 | zenon_intro zenon_He ]. % 0.80/1.00 exact (zenon_H4f zenon_H50). % 0.80/1.00 exact (zenon_Hd zenon_He). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.00 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.00 exact (zenon_H61 zenon_H62). % 0.80/1.00 (* end of lemma zenon_L135_ *) % 0.80/1.00 assert (zenon_L136_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (ndr1_0) -> (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1cd zenon_H12 zenon_Hdc zenon_H1b8 zenon_H1b9. % 0.80/1.00 generalize (zenon_H1cd (a646)). zenon_intro zenon_H1ce. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cf ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1d0 ]. % 0.80/1.00 apply (zenon_L132_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1be | zenon_intro zenon_H1c0 ]. % 0.80/1.00 exact (zenon_H1b8 zenon_H1be). % 0.80/1.00 exact (zenon_H1b9 zenon_H1c0). % 0.80/1.00 (* end of lemma zenon_L136_ *) % 0.80/1.00 assert (zenon_L137_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (c1_1 (a640)) -> (c3_1 (a640)) -> (c0_1 (a640)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H35 zenon_H12 zenon_Hfa zenon_H1d1 zenon_H1d2 zenon_H1d3. % 0.80/1.00 generalize (zenon_H35 (a640)). zenon_intro zenon_H1d4. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d5 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d6 ]. % 0.80/1.00 generalize (zenon_Hfa (a640)). zenon_intro zenon_H1d8. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d9 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1db | zenon_intro zenon_H1da ]. % 0.80/1.00 exact (zenon_H1db zenon_H1d1). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.80/1.00 exact (zenon_H1dd zenon_H1d7). % 0.80/1.00 exact (zenon_H1dc zenon_H1d2). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dc ]. % 0.80/1.00 exact (zenon_H1de zenon_H1d3). % 0.80/1.00 exact (zenon_H1dc zenon_H1d2). % 0.80/1.00 (* end of lemma zenon_L137_ *) % 0.80/1.00 assert (zenon_L138_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c0_1 (a640)) -> (c3_1 (a640)) -> (c1_1 (a640)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp22)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1df zenon_H1d3 zenon_H1d2 zenon_H1d1 zenon_Hfa zenon_H12 zenon_He6 zenon_Hb. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H35 | zenon_intro zenon_H1e0 ]. % 0.80/1.00 apply (zenon_L137_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_He7 | zenon_intro zenon_Hc ]. % 0.80/1.00 exact (zenon_He6 zenon_He7). % 0.80/1.00 exact (zenon_Hb zenon_Hc). % 0.80/1.00 (* end of lemma zenon_L138_ *) % 0.80/1.00 assert (zenon_L139_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15))))) -> (ndr1_0) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e1 zenon_H12 zenon_H1c2 zenon_H1b8 zenon_H1b9. % 0.80/1.00 generalize (zenon_H1e1 (a646)). zenon_intro zenon_H1e2. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e3 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1d0 ]. % 0.80/1.00 exact (zenon_H1c2 zenon_H1c6). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1be | zenon_intro zenon_H1c0 ]. % 0.80/1.00 exact (zenon_H1b8 zenon_H1be). % 0.80/1.00 exact (zenon_H1b9 zenon_H1c0). % 0.80/1.00 (* end of lemma zenon_L139_ *) % 0.80/1.00 assert (zenon_L140_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e4 zenon_H12 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.00 generalize (zenon_H1e4 (a640)). zenon_intro zenon_H1e5. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e6 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e7 ]. % 0.80/1.00 exact (zenon_H1de zenon_H1d3). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1db | zenon_intro zenon_H1dc ]. % 0.80/1.00 exact (zenon_H1db zenon_H1d1). % 0.80/1.00 exact (zenon_H1dc zenon_H1d2). % 0.80/1.00 (* end of lemma zenon_L140_ *) % 0.80/1.00 assert (zenon_L141_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp22)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e8 zenon_H1e9 zenon_H3f zenon_H1df zenon_He6 zenon_Hb zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.00 apply (zenon_L136_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.00 apply (zenon_L138_); trivial. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.00 apply (zenon_L139_); trivial. % 0.80/1.00 apply (zenon_L140_); trivial. % 0.80/1.00 (* end of lemma zenon_L141_ *) % 0.80/1.00 assert (zenon_L142_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1ed zenon_H1e9 zenon_H1df zenon_Hb zenon_He6 zenon_H3f zenon_H105 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.00 apply (zenon_L135_); trivial. % 0.80/1.00 apply (zenon_L141_); trivial. % 0.80/1.00 (* end of lemma zenon_L142_ *) % 0.80/1.00 assert (zenon_L143_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H57 zenon_H12 zenon_Hdc zenon_H1b8 zenon_H1b9 zenon_H1c2. % 0.80/1.00 generalize (zenon_H57 (a646)). zenon_intro zenon_H1ee. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ef ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1f0 ]. % 0.80/1.00 apply (zenon_L132_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c0 ]. % 0.80/1.00 exact (zenon_H1c2 zenon_H1c6). % 0.80/1.00 exact (zenon_H1b9 zenon_H1c0). % 0.80/1.00 (* end of lemma zenon_L143_ *) % 0.80/1.00 assert (zenon_L144_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c0_1 (a640)) -> (c3_1 (a640)) -> (c1_1 (a640)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp21)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H43 zenon_H1d3 zenon_H1d2 zenon_H1d1 zenon_Hfa zenon_H12 zenon_H3f zenon_H41. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H35 | zenon_intro zenon_H44 ]. % 0.80/1.00 apply (zenon_L137_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 exact (zenon_H41 zenon_H42). % 0.80/1.00 (* end of lemma zenon_L144_ *) % 0.80/1.00 assert (zenon_L145_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(hskp21)) -> (ndr1_0) -> (c1_1 (a640)) -> (c3_1 (a640)) -> (c0_1 (a640)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H105 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H57 zenon_H41 zenon_H12 zenon_H1d1 zenon_H1d2 zenon_H1d3 zenon_H43 zenon_H3f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.00 apply (zenon_L143_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.00 apply (zenon_L144_); trivial. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 (* end of lemma zenon_L145_ *) % 0.80/1.00 assert (zenon_L146_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp21)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(hskp1)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e8 zenon_H1f1 zenon_H3f zenon_H43 zenon_H41 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H105 zenon_H16 zenon_H15 zenon_H14 zenon_H1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.80/1.00 apply (zenon_L145_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H13 | zenon_intro zenon_H2 ]. % 0.80/1.00 apply (zenon_L10_); trivial. % 0.80/1.00 exact (zenon_H1 zenon_H2). % 0.80/1.00 (* end of lemma zenon_L146_ *) % 0.80/1.00 assert (zenon_L147_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(hskp1)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1f zenon_H1f1 zenon_H5a zenon_H59 zenon_H58 zenon_H1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.80/1.00 apply (zenon_L26_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H13 | zenon_intro zenon_H2 ]. % 0.80/1.00 apply (zenon_L10_); trivial. % 0.80/1.00 exact (zenon_H1 zenon_H2). % 0.80/1.00 (* end of lemma zenon_L147_ *) % 0.80/1.00 assert (zenon_L148_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H63 zenon_H24 zenon_H1f1 zenon_H1 zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_He6 zenon_H1df zenon_H1e9 zenon_H1ed. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L142_); trivial. % 0.80/1.00 apply (zenon_L147_); trivial. % 0.80/1.00 (* end of lemma zenon_L148_ *) % 0.80/1.00 assert (zenon_L149_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H69 zenon_H1ed zenon_H1e9 zenon_H1df zenon_He6 zenon_H3f zenon_H105 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_H43 zenon_H1 zenon_H1f1 zenon_H24. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L142_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.00 apply (zenon_L135_); trivial. % 0.80/1.00 apply (zenon_L146_); trivial. % 0.80/1.00 apply (zenon_L148_); trivial. % 0.80/1.00 (* end of lemma zenon_L149_ *) % 0.80/1.00 assert (zenon_L150_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp11)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H104 zenon_H1c9 zenon_H3f zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H105 zenon_H1c7 zenon_H61. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.00 apply (zenon_L133_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.00 apply (zenon_L63_); trivial. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.00 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.00 exact (zenon_H61 zenon_H62). % 0.80/1.00 (* end of lemma zenon_L150_ *) % 0.80/1.00 assert (zenon_L151_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(hskp26)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H10a zenon_H1c9 zenon_H61 zenon_H1c7 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H12 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Hea zenon_Hee. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.00 apply (zenon_L62_); trivial. % 0.80/1.00 apply (zenon_L150_); trivial. % 0.80/1.00 (* end of lemma zenon_L151_ *) % 0.80/1.00 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H104 zenon_H1e9 zenon_H3f zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.00 apply (zenon_L136_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.00 apply (zenon_L63_); trivial. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.00 apply (zenon_L139_); trivial. % 0.80/1.00 apply (zenon_L140_); trivial. % 0.80/1.00 (* end of lemma zenon_L152_ *) % 0.80/1.00 assert (zenon_L153_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e8 zenon_H10a zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Hea zenon_Hee. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.00 apply (zenon_L62_); trivial. % 0.80/1.00 apply (zenon_L152_); trivial. % 0.80/1.00 (* end of lemma zenon_L153_ *) % 0.80/1.00 assert (zenon_L154_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H1e9 zenon_Hee zenon_Hea zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H10a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.00 apply (zenon_L151_); trivial. % 0.80/1.00 apply (zenon_L153_); trivial. % 0.80/1.00 (* end of lemma zenon_L154_ *) % 0.80/1.00 assert (zenon_L155_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H112 zenon_Hee zenon_Hea zenon_H10a zenon_H24 zenon_H1f1 zenon_H1 zenon_H43 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_H1df zenon_H1e9 zenon_H1ed zenon_H69. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.00 apply (zenon_L149_); trivial. % 0.80/1.00 apply (zenon_L154_); trivial. % 0.80/1.00 (* end of lemma zenon_L155_ *) % 0.80/1.00 assert (zenon_L156_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a682)) -> (~(c1_1 (a682))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a682))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp22)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1df zenon_H28 zenon_H26 zenon_H36 zenon_H27 zenon_H12 zenon_He6 zenon_Hb. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H35 | zenon_intro zenon_H1e0 ]. % 0.80/1.00 apply (zenon_L18_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_He7 | zenon_intro zenon_Hc ]. % 0.80/1.00 exact (zenon_He6 zenon_He7). % 0.80/1.00 exact (zenon_Hb zenon_Hc). % 0.80/1.00 (* end of lemma zenon_L156_ *) % 0.80/1.00 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp22)) -> (~(hskp20)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp8)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H51 zenon_H52 zenon_Hb zenon_He6 zenon_H27 zenon_H26 zenon_H28 zenon_H1df zenon_H4f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.00 apply (zenon_L156_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.00 apply (zenon_L22_); trivial. % 0.80/1.00 exact (zenon_H4f zenon_H50). % 0.80/1.00 (* end of lemma zenon_L157_ *) % 0.80/1.00 assert (zenon_L158_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp20)) -> (~(hskp22)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H56 zenon_H52 zenon_H4f zenon_He6 zenon_Hb zenon_H1df zenon_H12 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.00 apply (zenon_L17_); trivial. % 0.80/1.00 apply (zenon_L157_); trivial. % 0.80/1.00 (* end of lemma zenon_L158_ *) % 0.80/1.00 assert (zenon_L159_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H69 zenon_H24 zenon_H1f1 zenon_H1 zenon_H1df zenon_He6 zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.00 apply (zenon_L25_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.00 apply (zenon_L158_); trivial. % 0.80/1.00 apply (zenon_L147_); trivial. % 0.80/1.00 (* end of lemma zenon_L159_ *) % 0.80/1.00 assert (zenon_L160_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H6c zenon_H56 zenon_H52 zenon_H31 zenon_H33 zenon_H69 zenon_H1ed zenon_H1e9 zenon_H1df zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_H43 zenon_H1 zenon_H1f1 zenon_H24 zenon_H10a zenon_Hea zenon_Hee zenon_H112. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.00 apply (zenon_L155_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.00 apply (zenon_L159_); trivial. % 0.80/1.00 apply (zenon_L154_); trivial. % 0.80/1.00 (* end of lemma zenon_L160_ *) % 0.80/1.00 assert (zenon_L161_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Ha5 zenon_H12 zenon_H91 zenon_H7d zenon_H90 zenon_H9c. % 0.80/1.00 generalize (zenon_Ha5 (a675)). zenon_intro zenon_H1f3. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f4 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H98 | zenon_intro zenon_Ha4 ]. % 0.80/1.00 exact (zenon_H91 zenon_H98). % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H97 | zenon_intro zenon_Ha0 ]. % 0.80/1.00 apply (zenon_L43_); trivial. % 0.80/1.00 exact (zenon_Ha0 zenon_H9c). % 0.80/1.00 (* end of lemma zenon_L161_ *) % 0.80/1.00 assert (zenon_L162_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (ndr1_0) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e9 zenon_H91 zenon_H7d zenon_H90 zenon_H9c zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H12 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.00 apply (zenon_L136_); trivial. % 0.80/1.00 apply (zenon_L161_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.00 apply (zenon_L139_); trivial. % 0.80/1.00 apply (zenon_L140_); trivial. % 0.80/1.00 (* end of lemma zenon_L162_ *) % 0.80/1.00 assert (zenon_L163_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c1_1 (a640)) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c0_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hfa zenon_H12 zenon_H1d1 zenon_H18e zenon_H1d3 zenon_H1d2. % 0.80/1.00 generalize (zenon_Hfa (a640)). zenon_intro zenon_H1d8. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d9 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1db | zenon_intro zenon_H1da ]. % 0.80/1.00 exact (zenon_H1db zenon_H1d1). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.80/1.00 generalize (zenon_H18e (a640)). zenon_intro zenon_H1f5. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f6 ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1f7 ]. % 0.80/1.00 exact (zenon_H1dd zenon_H1d7). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1de | zenon_intro zenon_H1db ]. % 0.80/1.00 exact (zenon_H1de zenon_H1d3). % 0.80/1.00 exact (zenon_H1db zenon_H1d1). % 0.80/1.00 exact (zenon_H1dc zenon_H1d2). % 0.80/1.00 (* end of lemma zenon_L163_ *) % 0.80/1.00 assert (zenon_L164_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (c3_1 (a640)) -> (c0_1 (a640)) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c1_1 (a640)) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1cd zenon_H1d2 zenon_H1d3 zenon_H18e zenon_H1d1 zenon_H12 zenon_H3f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.00 apply (zenon_L136_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.00 apply (zenon_L163_); trivial. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 (* end of lemma zenon_L164_ *) % 0.80/1.00 assert (zenon_L165_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (ndr1_0) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e9 zenon_H3f zenon_H18e zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H12 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.00 apply (zenon_L164_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.00 apply (zenon_L139_); trivial. % 0.80/1.00 apply (zenon_L140_); trivial. % 0.80/1.00 (* end of lemma zenon_L165_ *) % 0.80/1.00 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp21)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e8 zenon_H198 zenon_H43 zenon_H41 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H1e9 zenon_H3f zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.80/1.00 apply (zenon_L145_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.80/1.00 apply (zenon_L162_); trivial. % 0.80/1.00 apply (zenon_L165_); trivial. % 0.80/1.00 (* end of lemma zenon_L166_ *) % 0.80/1.00 assert (zenon_L167_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e8 zenon_H198 zenon_H5a zenon_H59 zenon_H58 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H1e9 zenon_H3f zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.80/1.00 apply (zenon_L26_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.80/1.00 apply (zenon_L162_); trivial. % 0.80/1.00 apply (zenon_L165_); trivial. % 0.80/1.00 (* end of lemma zenon_L167_ *) % 0.80/1.00 assert (zenon_L168_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H63 zenon_H1ed zenon_H198 zenon_H105 zenon_H3f zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H1e9 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.00 apply (zenon_L135_); trivial. % 0.80/1.00 apply (zenon_L167_); trivial. % 0.80/1.00 (* end of lemma zenon_L168_ *) % 0.80/1.00 assert (zenon_L169_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H69 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_H43 zenon_H1e9 zenon_H91 zenon_H90 zenon_H9c zenon_H10e zenon_H198 zenon_H1ed. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.00 apply (zenon_L135_); trivial. % 0.80/1.00 apply (zenon_L166_); trivial. % 0.80/1.00 apply (zenon_L168_); trivial. % 0.80/1.00 (* end of lemma zenon_L169_ *) % 0.80/1.00 assert (zenon_L170_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hba zenon_H6c zenon_H64 zenon_H6e zenon_H6f zenon_H70 zenon_H9 zenon_H77 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.00 apply (zenon_L169_); trivial. % 0.80/1.00 apply (zenon_L33_); trivial. % 0.80/1.00 (* end of lemma zenon_L170_ *) % 0.80/1.00 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> (~(hskp1)) -> (~(hskp14)) -> ((hskp1)\/((hskp14)\/(hskp17))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H7a zenon_Hb9 zenon_H6c zenon_H64 zenon_H9 zenon_H77 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69 zenon_H1 zenon_H3 zenon_H7. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.00 apply (zenon_L4_); trivial. % 0.80/1.00 apply (zenon_L170_); trivial. % 0.80/1.00 (* end of lemma zenon_L171_ *) % 0.80/1.00 assert (zenon_L172_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1c9 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H10e zenon_H1c7 zenon_H61. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.00 apply (zenon_L133_); trivial. % 0.80/1.00 apply (zenon_L45_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.00 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.00 exact (zenon_H61 zenon_H62). % 0.80/1.00 (* end of lemma zenon_L172_ *) % 0.80/1.00 assert (zenon_L173_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1e8 zenon_H1e9 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1c2. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.00 apply (zenon_L136_); trivial. % 0.80/1.00 apply (zenon_L45_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.00 apply (zenon_L139_); trivial. % 0.80/1.00 apply (zenon_L140_); trivial. % 0.80/1.00 (* end of lemma zenon_L173_ *) % 0.80/1.00 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H10d zenon_H1ed zenon_H1e9 zenon_H10e zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.00 apply (zenon_L172_); trivial. % 0.80/1.00 apply (zenon_L173_); trivial. % 0.80/1.00 (* end of lemma zenon_L174_ *) % 0.80/1.00 assert (zenon_L175_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hba zenon_H6c zenon_H64 zenon_H9 zenon_H33 zenon_H31 zenon_H52 zenon_H56 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.00 apply (zenon_L169_); trivial. % 0.80/1.00 apply (zenon_L29_); trivial. % 0.80/1.00 (* end of lemma zenon_L175_ *) % 0.80/1.00 assert (zenon_L176_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_Hb9 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H105 zenon_H1ca zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1c9 zenon_Haf zenon_H12 zenon_H114 zenon_H115 zenon_H11d zenon_H122 zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H43 zenon_H31 zenon_H33 zenon_H9 zenon_H61 zenon_H64 zenon_H69 zenon_H6c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.00 apply (zenon_L75_); trivial. % 0.80/1.00 apply (zenon_L175_); trivial. % 0.80/1.00 (* end of lemma zenon_L176_ *) % 0.80/1.00 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H130 zenon_H111 zenon_H1ed zenon_H1e9 zenon_H10e zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1c9 zenon_H43 zenon_H9 zenon_H61 zenon_H64 zenon_H69. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.00 apply (zenon_L85_); trivial. % 0.80/1.00 apply (zenon_L174_); trivial. % 0.80/1.00 (* end of lemma zenon_L177_ *) % 0.80/1.00 assert (zenon_L178_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H79 zenon_Hf zenon_Hdf zenon_Hde zenon_Hdd zenon_H77 zenon_H24 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H9 zenon_H33 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_Haf zenon_H1c9 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H1ca zenon_H105 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_Hb9. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.00 apply (zenon_L176_); trivial. % 0.80/1.00 apply (zenon_L83_); trivial. % 0.80/1.00 (* end of lemma zenon_L178_ *) % 0.80/1.00 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> ((hskp1)\/((hskp14)\/(hskp17))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H10d zenon_H8e zenon_H89 zenon_H87 zenon_H7 zenon_H1 zenon_Hb7 zenon_Hb5 zenon_Haf zenon_H9 zenon_H61 zenon_H64 zenon_Hb9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.00 apply (zenon_L50_); trivial. % 0.80/1.00 (* end of lemma zenon_L179_ *) % 0.80/1.00 assert (zenon_L180_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp1)) -> ((hskp1)\/((hskp14)\/(hskp17))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1b5 zenon_H8e zenon_H89 zenon_H87 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H1d zenon_H20 zenon_H24 zenon_H77 zenon_H79 zenon_Hb9 zenon_Haf zenon_Hb5 zenon_Hb7 zenon_H1 zenon_H7 zenon_H111. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.00 apply (zenon_L40_); trivial. % 0.80/1.00 apply (zenon_L179_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.00 apply (zenon_L85_); trivial. % 0.80/1.00 apply (zenon_L179_); trivial. % 0.80/1.00 (* end of lemma zenon_L180_ *) % 0.80/1.00 assert (zenon_L181_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1f8 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_Hec zenon_Hb5. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H6d | zenon_intro zenon_H1f9 ]. % 0.80/1.00 apply (zenon_L31_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hed | zenon_intro zenon_Hb6 ]. % 0.80/1.00 exact (zenon_Hec zenon_Hed). % 0.80/1.00 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.00 (* end of lemma zenon_L181_ *) % 0.80/1.00 assert (zenon_L182_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H1fa zenon_H12 zenon_H1fb zenon_H1fc zenon_H1fd. % 0.80/1.00 generalize (zenon_H1fa (a645)). zenon_intro zenon_H1fe. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H1fe); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ff ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H201 | zenon_intro zenon_H200 ]. % 0.80/1.00 exact (zenon_H1fb zenon_H201). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.80/1.00 exact (zenon_H203 zenon_H1fc). % 0.80/1.00 exact (zenon_H202 zenon_H1fd). % 0.80/1.00 (* end of lemma zenon_L182_ *) % 0.80/1.00 assert (zenon_L183_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp8)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H104 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H4f. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1fa | zenon_intro zenon_H205 ]. % 0.80/1.00 apply (zenon_L182_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.80/1.00 apply (zenon_L63_); trivial. % 0.80/1.00 exact (zenon_H4f zenon_H50). % 0.80/1.00 (* end of lemma zenon_L183_ *) % 0.80/1.00 assert (zenon_L184_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H7a zenon_H10a zenon_H204 zenon_H4f zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_H1f8. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.00 apply (zenon_L181_); trivial. % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 (* end of lemma zenon_L184_ *) % 0.80/1.00 assert (zenon_L185_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H8b zenon_H79 zenon_H10a zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H1f8 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H9 zenon_H33 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_Haf zenon_Hb5 zenon_Hb7 zenon_Hb9. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.00 apply (zenon_L77_); trivial. % 0.80/1.00 apply (zenon_L184_); trivial. % 0.80/1.00 (* end of lemma zenon_L185_ *) % 0.80/1.00 assert (zenon_L186_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.80/1.00 do 0 intro. intros zenon_H8e zenon_H10a zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H1f8 zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_Haf zenon_Hb5 zenon_Hb7 zenon_Hb9 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H1d zenon_H20 zenon_H24 zenon_H77 zenon_H79. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.00 apply (zenon_L35_); trivial. % 0.80/1.00 apply (zenon_L185_); trivial. % 0.80/1.00 (* end of lemma zenon_L186_ *) % 0.80/1.00 assert (zenon_L187_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H206 zenon_H138 zenon_H137 zenon_H136 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.80/1.00 apply (zenon_L92_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.80/1.00 apply (zenon_L182_); trivial. % 0.80/1.00 exact (zenon_H87 zenon_H88). % 0.80/1.00 (* end of lemma zenon_L187_ *) % 0.80/1.00 assert (zenon_L188_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a645))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H35 zenon_H12 zenon_H1fb zenon_H208 zenon_H1fc zenon_H1fd. % 0.80/1.00 generalize (zenon_H35 (a645)). zenon_intro zenon_H209. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H20a ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H201 | zenon_intro zenon_H20b ]. % 0.80/1.00 exact (zenon_H1fb zenon_H201). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H202 ]. % 0.80/1.00 generalize (zenon_H208 (a645)). zenon_intro zenon_H20d. % 0.80/1.00 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H11 | zenon_intro zenon_H20e ]. % 0.80/1.00 exact (zenon_H11 zenon_H12). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H20f | zenon_intro zenon_H200 ]. % 0.80/1.00 exact (zenon_H20c zenon_H20f). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.80/1.00 exact (zenon_H203 zenon_H1fc). % 0.80/1.00 exact (zenon_H202 zenon_H1fd). % 0.80/1.00 exact (zenon_H202 zenon_H1fd). % 0.80/1.00 (* end of lemma zenon_L188_ *) % 0.80/1.00 assert (zenon_L189_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp21)) -> False). % 0.80/1.00 do 0 intro. intros zenon_H43 zenon_H1fd zenon_H1fc zenon_H208 zenon_H1fb zenon_H12 zenon_H3f zenon_H41. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H35 | zenon_intro zenon_H44 ]. % 0.80/1.00 apply (zenon_L188_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.80/1.00 exact (zenon_H3f zenon_H40). % 0.80/1.00 exact (zenon_H41 zenon_H42). % 0.80/1.00 (* end of lemma zenon_L189_ *) % 0.80/1.00 assert (zenon_L190_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp21)) -> (ndr1_0) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H210 zenon_H138 zenon_H137 zenon_H136 zenon_H41 zenon_H12 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H43 zenon_H3f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.80/1.01 apply (zenon_L92_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.80/1.01 apply (zenon_L189_); trivial. % 0.80/1.01 exact (zenon_H3f zenon_H40). % 0.80/1.01 (* end of lemma zenon_L190_ *) % 0.80/1.01 assert (zenon_L191_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H69 zenon_H64 zenon_H61 zenon_H9 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H43 zenon_H3f zenon_H1fd zenon_H1fc zenon_H1fb zenon_H210. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.01 apply (zenon_L190_); trivial. % 0.80/1.01 apply (zenon_L28_); trivial. % 0.80/1.01 (* end of lemma zenon_L191_ *) % 0.80/1.01 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a647))/\((~(c0_1 (a647)))/\(~(c3_1 (a647)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H212 zenon_H213 zenon_H111 zenon_H10e zenon_H210 zenon_H43 zenon_H9 zenon_H61 zenon_H64 zenon_H69 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H206. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.80/1.01 apply (zenon_L187_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.01 apply (zenon_L191_); trivial. % 0.80/1.01 apply (zenon_L66_); trivial. % 0.80/1.01 (* end of lemma zenon_L192_ *) % 0.80/1.01 assert (zenon_L193_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(hskp26)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H10a zenon_H1c9 zenon_H61 zenon_H1c7 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H12 zenon_H6e zenon_H6f zenon_H70 zenon_Hb5 zenon_H1f8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.01 apply (zenon_L181_); trivial. % 0.80/1.01 apply (zenon_L150_); trivial. % 0.80/1.01 (* end of lemma zenon_L193_ *) % 0.80/1.01 assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1e8 zenon_H10a zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H6e zenon_H6f zenon_H70 zenon_Hb5 zenon_H1f8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.01 apply (zenon_L181_); trivial. % 0.80/1.01 apply (zenon_L152_); trivial. % 0.80/1.01 (* end of lemma zenon_L194_ *) % 0.80/1.01 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H7a zenon_H1ed zenon_H1e9 zenon_H1f8 zenon_Hb5 zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H10a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.01 apply (zenon_L193_); trivial. % 0.80/1.01 apply (zenon_L194_); trivial. % 0.80/1.01 (* end of lemma zenon_L195_ *) % 0.80/1.01 assert (zenon_L196_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H111 zenon_H10e zenon_H6c zenon_H56 zenon_H52 zenon_H33 zenon_H69 zenon_H1ed zenon_H1e9 zenon_H1df zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_H43 zenon_H1 zenon_H1f1 zenon_H24 zenon_H10a zenon_Hea zenon_Hee zenon_H112 zenon_Hb5 zenon_H1f8 zenon_H79. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.01 apply (zenon_L160_); trivial. % 0.80/1.01 apply (zenon_L195_); trivial. % 0.80/1.01 apply (zenon_L174_); trivial. % 0.80/1.01 (* end of lemma zenon_L196_ *) % 0.80/1.01 assert (zenon_L197_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a643))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z)))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H135 zenon_H12 zenon_H219 zenon_H13 zenon_H21a zenon_H21b. % 0.80/1.01 generalize (zenon_H135 (a643)). zenon_intro zenon_H21c. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H11 | zenon_intro zenon_H21d ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.80/1.01 exact (zenon_H219 zenon_H21f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H221 | zenon_intro zenon_H220 ]. % 0.80/1.01 generalize (zenon_H13 (a643)). zenon_intro zenon_H222. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H11 | zenon_intro zenon_H223 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H21f | zenon_intro zenon_H224 ]. % 0.80/1.01 exact (zenon_H219 zenon_H21f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 0.80/1.01 exact (zenon_H226 zenon_H21a). % 0.80/1.01 exact (zenon_H225 zenon_H221). % 0.80/1.01 exact (zenon_H220 zenon_H21b). % 0.80/1.01 (* end of lemma zenon_L197_ *) % 0.80/1.01 assert (zenon_L198_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(hskp14)) -> (~(hskp4)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H20 zenon_H21b zenon_H21a zenon_H219 zenon_H12 zenon_H135 zenon_H3 zenon_H1d. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H13 | zenon_intro zenon_H23 ]. % 0.80/1.01 apply (zenon_L197_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H4 | zenon_intro zenon_H1e ]. % 0.80/1.01 exact (zenon_H3 zenon_H4). % 0.80/1.01 exact (zenon_H1d zenon_H1e). % 0.80/1.01 (* end of lemma zenon_L198_ *) % 0.80/1.01 assert (zenon_L199_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp4)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a643))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H143 zenon_H1d zenon_H3 zenon_H12 zenon_H219 zenon_H21a zenon_H21b zenon_H20 zenon_H13f zenon_H141. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.80/1.01 apply (zenon_L198_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.80/1.01 exact (zenon_H13f zenon_H140). % 0.80/1.01 exact (zenon_H141 zenon_H142). % 0.80/1.01 (* end of lemma zenon_L199_ *) % 0.80/1.01 assert (zenon_L200_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a665))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a665)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb1 zenon_H12 zenon_H7f zenon_H113 zenon_H80. % 0.80/1.01 generalize (zenon_Hb1 (a665)). zenon_intro zenon_H227. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H11 | zenon_intro zenon_H228 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H86 | zenon_intro zenon_H229 ]. % 0.80/1.01 exact (zenon_H7f zenon_H86). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22a | zenon_intro zenon_H85 ]. % 0.80/1.01 generalize (zenon_H113 (a665)). zenon_intro zenon_H22b. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_H11 | zenon_intro zenon_H22c ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H86 | zenon_intro zenon_H22d ]. % 0.80/1.01 exact (zenon_H7f zenon_H86). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H85 | zenon_intro zenon_H22e ]. % 0.80/1.01 exact (zenon_H85 zenon_H80). % 0.80/1.01 exact (zenon_H22e zenon_H22a). % 0.80/1.01 exact (zenon_H85 zenon_H80). % 0.80/1.01 (* end of lemma zenon_L200_ *) % 0.80/1.01 assert (zenon_L201_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a665))) -> (~(hskp19)) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb7 zenon_H7e zenon_Hd zenon_H5 zenon_H12 zenon_H7f zenon_H80 zenon_H122 zenon_Hb5. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.01 apply (zenon_L36_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H113 | zenon_intro zenon_H123 ]. % 0.80/1.01 apply (zenon_L200_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_He ]. % 0.80/1.01 exact (zenon_H5 zenon_H6). % 0.80/1.01 exact (zenon_Hd zenon_He). % 0.80/1.01 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.01 (* end of lemma zenon_L201_ *) % 0.80/1.01 assert (zenon_L202_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H14b zenon_H12 zenon_H219 zenon_H21b zenon_H21a. % 0.80/1.01 generalize (zenon_H14b (a643)). zenon_intro zenon_H22f. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H11 | zenon_intro zenon_H230 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H21f | zenon_intro zenon_H231 ]. % 0.80/1.01 exact (zenon_H219 zenon_H21f). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H220 | zenon_intro zenon_H226 ]. % 0.80/1.01 exact (zenon_H220 zenon_H21b). % 0.80/1.01 exact (zenon_H226 zenon_H21a). % 0.80/1.01 (* end of lemma zenon_L202_ *) % 0.80/1.01 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_H7e zenon_H7f zenon_H80 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_Hb5. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.01 apply (zenon_L36_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.80/1.01 apply (zenon_L200_); trivial. % 0.80/1.01 apply (zenon_L22_); trivial. % 0.80/1.01 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.01 (* end of lemma zenon_L203_ *) % 0.80/1.01 assert (zenon_L204_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H68 zenon_H56 zenon_Hb7 zenon_Hb5 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H80 zenon_H7f zenon_H7e zenon_H31 zenon_H33. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.01 apply (zenon_L17_); trivial. % 0.80/1.01 apply (zenon_L203_); trivial. % 0.80/1.01 (* end of lemma zenon_L204_ *) % 0.80/1.01 assert (zenon_L205_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_H122 zenon_H80 zenon_H7f zenon_H7e zenon_H12 zenon_H33 zenon_H31 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H56 zenon_H6c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L201_); trivial. % 0.80/1.01 apply (zenon_L204_); trivial. % 0.80/1.01 apply (zenon_L76_); trivial. % 0.80/1.01 (* end of lemma zenon_L205_ *) % 0.80/1.01 assert (zenon_L206_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (c3_1 (a682)) -> (~(c1_1 (a682))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a682))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp23)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H26 zenon_H36 zenon_H27 zenon_H12 zenon_Hb5 zenon_Hc6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H35 | zenon_intro zenon_Hc9 ]. % 0.80/1.01 apply (zenon_L18_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc7 ]. % 0.80/1.01 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.01 exact (zenon_Hc6 zenon_Hc7). % 0.80/1.01 (* end of lemma zenon_L206_ *) % 0.80/1.01 assert (zenon_L207_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H68 zenon_Hdb zenon_Hcd zenon_H87 zenon_H1f8 zenon_Hb5 zenon_H70 zenon_H6f zenon_H6e zenon_Hc8 zenon_H177 zenon_Hca zenon_H181 zenon_H234 zenon_H10a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.01 apply (zenon_L181_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H36 | zenon_intro zenon_H235 ]. % 0.80/1.01 apply (zenon_L206_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H35 | zenon_intro zenon_H182 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.80/1.01 apply (zenon_L18_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.80/1.01 apply (zenon_L63_); trivial. % 0.80/1.01 exact (zenon_Hca zenon_Hcb). % 0.80/1.01 exact (zenon_H181 zenon_H182). % 0.80/1.01 apply (zenon_L55_); trivial. % 0.80/1.01 (* end of lemma zenon_L207_ *) % 0.80/1.01 assert (zenon_L208_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> (ndr1_0) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp17)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H6c zenon_Hdb zenon_Hcd zenon_H87 zenon_H1f8 zenon_H70 zenon_H6f zenon_H6e zenon_Hc8 zenon_H177 zenon_Hca zenon_H181 zenon_H234 zenon_H10a zenon_H12 zenon_H7e zenon_H7f zenon_H80 zenon_H122 zenon_H5 zenon_Hb5 zenon_Hb7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L201_); trivial. % 0.80/1.01 apply (zenon_L207_); trivial. % 0.80/1.01 (* end of lemma zenon_L208_ *) % 0.80/1.01 assert (zenon_L209_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H8b zenon_H79 zenon_H10a zenon_H234 zenon_H181 zenon_Hca zenon_H177 zenon_Hc8 zenon_H1f8 zenon_H87 zenon_Hcd zenon_Hdb zenon_H6c zenon_H56 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.01 apply (zenon_L205_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.01 apply (zenon_L208_); trivial. % 0.80/1.01 apply (zenon_L76_); trivial. % 0.80/1.01 (* end of lemma zenon_L209_ *) % 0.80/1.01 assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H8e zenon_H79 zenon_H10a zenon_H234 zenon_H181 zenon_Hca zenon_H177 zenon_Hc8 zenon_H1f8 zenon_H87 zenon_Hcd zenon_Hdb zenon_H6c zenon_H56 zenon_H232 zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H12 zenon_H13f zenon_H141 zenon_H143. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.01 apply (zenon_L199_); trivial. % 0.80/1.01 apply (zenon_L209_); trivial. % 0.80/1.01 (* end of lemma zenon_L210_ *) % 0.80/1.01 assert (zenon_L211_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (ndr1_0) -> (~(c2_1 (a676))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hdc zenon_H12 zenon_H18f zenon_H1fa zenon_H191 zenon_H190. % 0.80/1.01 generalize (zenon_Hdc (a676)). zenon_intro zenon_H236. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H11 | zenon_intro zenon_H237 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H195 | zenon_intro zenon_H238 ]. % 0.80/1.01 exact (zenon_H18f zenon_H195). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H239 | zenon_intro zenon_H197 ]. % 0.80/1.01 generalize (zenon_H1fa (a676)). zenon_intro zenon_H23a. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H11 | zenon_intro zenon_H23b ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H195 | zenon_intro zenon_H23c ]. % 0.80/1.01 exact (zenon_H18f zenon_H195). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H196 | zenon_intro zenon_H23d ]. % 0.80/1.01 exact (zenon_H196 zenon_H191). % 0.80/1.01 exact (zenon_H23d zenon_H239). % 0.80/1.01 exact (zenon_H197 zenon_H190). % 0.80/1.01 (* end of lemma zenon_L211_ *) % 0.80/1.01 assert (zenon_L212_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(c2_1 (a676))) -> (ndr1_0) -> False). % 0.80/1.01 do 0 intro. intros zenon_H10e zenon_H155 zenon_H154 zenon_H153 zenon_H16f zenon_H190 zenon_H191 zenon_H1fa zenon_H18f zenon_H12. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L211_); trivial. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 (* end of lemma zenon_L212_ *) % 0.80/1.01 assert (zenon_L213_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp4)) -> (~(hskp14)) -> (~(c0_1 (a643))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a676))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp6)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H206 zenon_H1d zenon_H3 zenon_H219 zenon_H21a zenon_H21b zenon_H20 zenon_H12 zenon_H18f zenon_H191 zenon_H190 zenon_H16f zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H87. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.80/1.01 apply (zenon_L198_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.80/1.01 apply (zenon_L212_); trivial. % 0.80/1.01 exact (zenon_H87 zenon_H88). % 0.80/1.01 (* end of lemma zenon_L213_ *) % 0.80/1.01 assert (zenon_L214_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c0_1 (a643))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(hskp14)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp1)) -> (~(hskp7)) -> ((hskp18)\/((hskp1)\/(hskp7))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H23e zenon_H173 zenon_H10e zenon_H155 zenon_H154 zenon_H153 zenon_H87 zenon_H206 zenon_H219 zenon_H21a zenon_H21b zenon_H3 zenon_H1d zenon_H20 zenon_H1 zenon_H181 zenon_H183. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.80/1.01 apply (zenon_L113_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L198_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L213_); trivial. % 0.80/1.01 (* end of lemma zenon_L214_ *) % 0.80/1.01 assert (zenon_L215_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp4)) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H173 zenon_H1d zenon_H3 zenon_H20 zenon_H21a zenon_H21b zenon_H219 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L198_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L114_); trivial. % 0.80/1.01 (* end of lemma zenon_L215_ *) % 0.80/1.01 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1a6 zenon_H8e zenon_H79 zenon_H10a zenon_H234 zenon_H181 zenon_Hca zenon_H177 zenon_Hc8 zenon_H1f8 zenon_H87 zenon_Hcd zenon_Hdb zenon_H6c zenon_H56 zenon_H232 zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H173. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.01 apply (zenon_L215_); trivial. % 0.80/1.01 apply (zenon_L209_); trivial. % 0.80/1.01 (* end of lemma zenon_L216_ *) % 0.80/1.01 assert (zenon_L217_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp17)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H6c zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H31 zenon_H33 zenon_H12 zenon_H7e zenon_H7f zenon_H80 zenon_H122 zenon_H5 zenon_Hb5 zenon_Hb7. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L201_); trivial. % 0.80/1.01 apply (zenon_L123_); trivial. % 0.80/1.01 (* end of lemma zenon_L217_ *) % 0.80/1.01 assert (zenon_L218_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_H122 zenon_H80 zenon_H7f zenon_H7e zenon_H12 zenon_H33 zenon_H31 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56 zenon_H6c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.01 apply (zenon_L217_); trivial. % 0.80/1.01 apply (zenon_L76_); trivial. % 0.80/1.01 (* end of lemma zenon_L218_ *) % 0.80/1.01 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H104 zenon_H177 zenon_H19f zenon_H19e zenon_H19d zenon_Hca. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.80/1.01 apply (zenon_L120_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.80/1.01 apply (zenon_L63_); trivial. % 0.80/1.01 exact (zenon_Hca zenon_Hcb). % 0.80/1.01 (* end of lemma zenon_L219_ *) % 0.80/1.01 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H7a zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hb5 zenon_H1f8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.01 apply (zenon_L181_); trivial. % 0.80/1.01 apply (zenon_L219_); trivial. % 0.80/1.01 (* end of lemma zenon_L220_ *) % 0.80/1.01 assert (zenon_L221_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H8b zenon_H79 zenon_H10a zenon_H177 zenon_Hca zenon_H1f8 zenon_H6c zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.01 apply (zenon_L218_); trivial. % 0.80/1.01 apply (zenon_L220_); trivial. % 0.80/1.01 (* end of lemma zenon_L221_ *) % 0.80/1.01 assert (zenon_L222_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H8e zenon_H79 zenon_H10a zenon_H177 zenon_Hca zenon_H1f8 zenon_H6c zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H12 zenon_H13f zenon_H141 zenon_H143. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.01 apply (zenon_L199_); trivial. % 0.80/1.01 apply (zenon_L221_); trivial. % 0.80/1.01 (* end of lemma zenon_L222_ *) % 0.80/1.01 assert (zenon_L223_ : ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp1)\/(hskp29))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (~(hskp1)) -> (~(hskp29)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H23f zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H16f zenon_H1 zenon_Hec. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H240 ]. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H2 | zenon_intro zenon_Hed ]. % 0.80/1.01 exact (zenon_H1 zenon_H2). % 0.80/1.01 exact (zenon_Hec zenon_Hed). % 0.80/1.01 (* end of lemma zenon_L223_ *) % 0.80/1.01 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1a6 zenon_H8e zenon_H79 zenon_H10a zenon_H177 zenon_Hca zenon_H1f8 zenon_H6c zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H173. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.01 apply (zenon_L215_); trivial. % 0.80/1.01 apply (zenon_L221_); trivial. % 0.80/1.01 (* end of lemma zenon_L224_ *) % 0.80/1.01 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H130 zenon_Hdb zenon_Hcd zenon_Hca zenon_H87 zenon_Hb5 zenon_Hc8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.01 apply (zenon_L56_); trivial. % 0.80/1.01 (* end of lemma zenon_L225_ *) % 0.80/1.01 assert (zenon_L226_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a686))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H135 zenon_H12 zenon_H241 zenon_Hf1 zenon_Hf0. % 0.80/1.01 generalize (zenon_H135 (a686)). zenon_intro zenon_H242. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H11 | zenon_intro zenon_H243 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ]. % 0.80/1.01 exact (zenon_H241 zenon_H245). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf9 ]. % 0.80/1.01 exact (zenon_Hf1 zenon_Hf7). % 0.80/1.01 exact (zenon_Hf9 zenon_Hf0). % 0.80/1.01 (* end of lemma zenon_L226_ *) % 0.80/1.01 assert (zenon_L227_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Ha5 zenon_H12 zenon_Hf1 zenon_H135 zenon_Hf0 zenon_Hef. % 0.80/1.01 generalize (zenon_Ha5 (a686)). zenon_intro zenon_H246. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_H11 | zenon_intro zenon_H247 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H248 ]. % 0.80/1.01 exact (zenon_Hf1 zenon_Hf7). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H241 | zenon_intro zenon_Hf8 ]. % 0.80/1.01 apply (zenon_L226_); trivial. % 0.80/1.01 exact (zenon_Hf8 zenon_Hef). % 0.80/1.01 (* end of lemma zenon_L227_ *) % 0.80/1.01 assert (zenon_L228_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (ndr1_0) -> False). % 0.80/1.01 do 0 intro. intros zenon_H10e zenon_Hef zenon_Hf0 zenon_H135 zenon_Hf1 zenon_Hdf zenon_Hde zenon_Hdd zenon_H12. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L57_); trivial. % 0.80/1.01 apply (zenon_L227_); trivial. % 0.80/1.01 (* end of lemma zenon_L228_ *) % 0.80/1.01 assert (zenon_L229_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (ndr1_0) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H112 zenon_H143 zenon_H141 zenon_H13f zenon_H10e zenon_H12 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hb5 zenon_He8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.01 apply (zenon_L59_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.80/1.01 apply (zenon_L228_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.80/1.01 exact (zenon_H13f zenon_H140). % 0.80/1.01 exact (zenon_H141 zenon_H142). % 0.80/1.01 (* end of lemma zenon_L229_ *) % 0.80/1.01 assert (zenon_L230_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_Hf1 zenon_H135 zenon_Hf0 zenon_Hef. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L102_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L227_); trivial. % 0.80/1.01 (* end of lemma zenon_L230_ *) % 0.80/1.01 assert (zenon_L231_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Ha5 zenon_H12 zenon_Hf1 zenon_H14b zenon_Hf0 zenon_Hef. % 0.80/1.01 generalize (zenon_Ha5 (a686)). zenon_intro zenon_H246. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_H11 | zenon_intro zenon_H247 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H248 ]. % 0.80/1.01 exact (zenon_Hf1 zenon_Hf7). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H241 | zenon_intro zenon_Hf8 ]. % 0.80/1.01 generalize (zenon_H14b (a686)). zenon_intro zenon_H249. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H11 | zenon_intro zenon_H24a ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_Hf6 ]. % 0.80/1.01 exact (zenon_H241 zenon_H245). % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.80/1.01 exact (zenon_Hf9 zenon_Hf0). % 0.80/1.01 exact (zenon_Hf8 zenon_Hef). % 0.80/1.01 exact (zenon_Hf8 zenon_Hef). % 0.80/1.01 (* end of lemma zenon_L231_ *) % 0.80/1.01 assert (zenon_L232_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a686))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (ndr1_0) -> False). % 0.80/1.01 do 0 intro. intros zenon_H10e zenon_Hef zenon_Hf0 zenon_H14b zenon_Hf1 zenon_Hdf zenon_Hde zenon_Hdd zenon_H12. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L57_); trivial. % 0.80/1.01 apply (zenon_L231_); trivial. % 0.80/1.01 (* end of lemma zenon_L232_ *) % 0.80/1.01 assert (zenon_L233_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H16f zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L102_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 (* end of lemma zenon_L233_ *) % 0.80/1.01 assert (zenon_L234_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H109 zenon_H173 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L230_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L232_); trivial. % 0.80/1.01 apply (zenon_L233_); trivial. % 0.80/1.01 (* end of lemma zenon_L234_ *) % 0.80/1.01 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H175 zenon_H112 zenon_H173 zenon_H10e zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hdd zenon_Hde zenon_Hdf zenon_Hb5 zenon_He8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.01 apply (zenon_L59_); trivial. % 0.80/1.01 apply (zenon_L234_); trivial. % 0.80/1.01 (* end of lemma zenon_L235_ *) % 0.80/1.01 assert (zenon_L236_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H17e zenon_H173 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_He8 zenon_Hb5 zenon_Hdf zenon_Hde zenon_Hdd zenon_H12 zenon_H10e zenon_H13f zenon_H143 zenon_H112. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.01 apply (zenon_L229_); trivial. % 0.80/1.01 apply (zenon_L235_); trivial. % 0.80/1.01 (* end of lemma zenon_L236_ *) % 0.80/1.01 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H216 zenon_H24b zenon_H1a9 zenon_H21a zenon_H21b zenon_H219 zenon_H143 zenon_Haf zenon_H173 zenon_H17e zenon_H112 zenon_H10a zenon_H105 zenon_Hee zenon_Hb5 zenon_He8 zenon_H10e zenon_H111. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.80/1.01 apply (zenon_L67_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.01 apply (zenon_L236_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.01 apply (zenon_L59_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L228_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L114_); trivial. % 0.80/1.01 (* end of lemma zenon_L237_ *) % 0.80/1.01 assert (zenon_L238_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1a6 zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L92_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L114_); trivial. % 0.80/1.01 (* end of lemma zenon_L238_ *) % 0.80/1.01 assert (zenon_L239_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp1)\/(hskp29))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp29)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219 zenon_H23f zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H1 zenon_Hec. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L92_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L223_); trivial. % 0.80/1.01 (* end of lemma zenon_L239_ *) % 0.80/1.01 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H216 zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H219 zenon_H21b zenon_H21a zenon_H10e zenon_H173 zenon_H17e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.01 apply (zenon_L95_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L92_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L57_); trivial. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 apply (zenon_L238_); trivial. % 0.80/1.01 (* end of lemma zenon_L240_ *) % 0.80/1.01 assert (zenon_L241_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H10e zenon_Hef zenon_Hf0 zenon_H135 zenon_Hf1 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H1c1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L133_); trivial. % 0.80/1.01 apply (zenon_L227_); trivial. % 0.80/1.01 (* end of lemma zenon_L241_ *) % 0.80/1.01 assert (zenon_L242_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1c9 zenon_H141 zenon_H13f zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H143 zenon_H1c7 zenon_H61. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.80/1.01 apply (zenon_L241_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.80/1.01 exact (zenon_H13f zenon_H140). % 0.80/1.01 exact (zenon_H141 zenon_H142). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.01 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.01 exact (zenon_H61 zenon_H62). % 0.80/1.01 (* end of lemma zenon_L242_ *) % 0.80/1.01 assert (zenon_L243_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H113 zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_Hf1 zenon_H135 zenon_Hf0 zenon_Hef. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L69_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L227_); trivial. % 0.80/1.01 (* end of lemma zenon_L243_ *) % 0.80/1.01 assert (zenon_L244_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H45 zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.80/1.01 generalize (zenon_H45 (a686)). zenon_intro zenon_H24f. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_H11 | zenon_intro zenon_H250 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H241 | zenon_intro zenon_Hf6 ]. % 0.80/1.01 apply (zenon_L226_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.80/1.01 exact (zenon_Hf9 zenon_Hf0). % 0.80/1.01 exact (zenon_Hf8 zenon_Hef). % 0.80/1.01 (* end of lemma zenon_L244_ *) % 0.80/1.01 assert (zenon_L245_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.80/1.01 apply (zenon_L243_); trivial. % 0.80/1.01 apply (zenon_L244_); trivial. % 0.80/1.01 (* end of lemma zenon_L245_ *) % 0.80/1.01 assert (zenon_L246_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H12 zenon_H113 zenon_H114 zenon_H115 zenon_H11d. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L69_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L72_); trivial. % 0.80/1.01 (* end of lemma zenon_L246_ *) % 0.80/1.01 assert (zenon_L247_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp27)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H149 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_Haf zenon_H147. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.80/1.01 apply (zenon_L245_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.80/1.01 apply (zenon_L246_); trivial. % 0.80/1.01 exact (zenon_H147 zenon_H148). % 0.80/1.01 (* end of lemma zenon_L247_ *) % 0.80/1.01 assert (zenon_L248_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a655)) -> (c3_1 (a655)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hfa zenon_H12 zenon_H113 zenon_H15d zenon_H15e. % 0.80/1.01 generalize (zenon_Hfa (a655)). zenon_intro zenon_H15f. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H11 | zenon_intro zenon_H160 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ]. % 0.80/1.01 generalize (zenon_H113 (a655)). zenon_intro zenon_H251. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H11 | zenon_intro zenon_H252 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H166 | zenon_intro zenon_H161 ]. % 0.80/1.01 exact (zenon_H162 zenon_H166). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H167 | zenon_intro zenon_H169 ]. % 0.80/1.01 exact (zenon_H167 zenon_H15d). % 0.80/1.01 exact (zenon_H169 zenon_H15e). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H167 | zenon_intro zenon_H169 ]. % 0.80/1.01 exact (zenon_H167 zenon_H15d). % 0.80/1.01 exact (zenon_H169 zenon_H15e). % 0.80/1.01 (* end of lemma zenon_L248_ *) % 0.80/1.01 assert (zenon_L249_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1cd zenon_H15e zenon_H15d zenon_H113 zenon_H12 zenon_H3f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.01 apply (zenon_L136_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.01 apply (zenon_L248_); trivial. % 0.80/1.01 exact (zenon_H3f zenon_H40). % 0.80/1.01 (* end of lemma zenon_L249_ *) % 0.80/1.01 assert (zenon_L250_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp11)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H3f zenon_H15d zenon_H15e zenon_H1cd zenon_H1b8 zenon_H1b9 zenon_H105 zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.80/1.01 apply (zenon_L249_); trivial. % 0.80/1.01 apply (zenon_L22_); trivial. % 0.80/1.01 (* end of lemma zenon_L250_ *) % 0.80/1.01 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (~(hskp11)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H51 zenon_H1e9 zenon_H105 zenon_H15e zenon_H15d zenon_H3f zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.01 apply (zenon_L250_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.01 apply (zenon_L139_); trivial. % 0.80/1.01 apply (zenon_L140_); trivial. % 0.80/1.01 (* end of lemma zenon_L251_ *) % 0.80/1.01 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c3_1 (a640)) -> (c1_1 (a640)) -> (c0_1 (a640)) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H17a zenon_H56 zenon_H1e9 zenon_H1d2 zenon_H1d1 zenon_H1d3 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.01 apply (zenon_L17_); trivial. % 0.80/1.01 apply (zenon_L251_); trivial. % 0.80/1.01 (* end of lemma zenon_L252_ *) % 0.80/1.01 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1e8 zenon_H176 zenon_H56 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H149. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.80/1.01 apply (zenon_L247_); trivial. % 0.80/1.01 apply (zenon_L252_); trivial. % 0.80/1.01 (* end of lemma zenon_L253_ *) % 0.80/1.01 assert (zenon_L254_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H176 zenon_H56 zenon_H1e9 zenon_H105 zenon_H3f zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H149 zenon_H143 zenon_H141 zenon_H13f zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H10e zenon_H61 zenon_H1c9. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.01 apply (zenon_L242_); trivial. % 0.80/1.01 apply (zenon_L253_); trivial. % 0.80/1.01 (* end of lemma zenon_L254_ *) % 0.80/1.01 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp7)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H51 zenon_Hcd zenon_H181 zenon_H90 zenon_H91 zenon_H9c zenon_H253 zenon_H87 zenon_Hca. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8f | zenon_intro zenon_H254 ]. % 0.80/1.01 apply (zenon_L87_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H45 | zenon_intro zenon_H182 ]. % 0.80/1.01 apply (zenon_L22_); trivial. % 0.80/1.01 exact (zenon_H181 zenon_H182). % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.80/1.01 exact (zenon_H87 zenon_H88). % 0.80/1.01 exact (zenon_Hca zenon_Hcb). % 0.80/1.01 (* end of lemma zenon_L255_ *) % 0.80/1.01 assert (zenon_L256_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H68 zenon_H56 zenon_Hcd zenon_Hca zenon_H87 zenon_H90 zenon_H91 zenon_H9c zenon_H181 zenon_H253 zenon_H31 zenon_H33. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.01 apply (zenon_L17_); trivial. % 0.80/1.01 apply (zenon_L255_); trivial. % 0.80/1.01 (* end of lemma zenon_L256_ *) % 0.80/1.01 assert (zenon_L257_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hba zenon_H6c zenon_H56 zenon_Hcd zenon_Hca zenon_H87 zenon_H181 zenon_H253 zenon_H31 zenon_H33 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L169_); trivial. % 0.80/1.01 apply (zenon_L256_); trivial. % 0.80/1.01 (* end of lemma zenon_L257_ *) % 0.80/1.01 assert (zenon_L258_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp19)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H122 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_H5 zenon_Hd. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L102_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L73_); trivial. % 0.80/1.01 (* end of lemma zenon_L258_ *) % 0.80/1.01 assert (zenon_L259_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp1)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H63 zenon_H1f1 zenon_H155 zenon_H154 zenon_H153 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H219 zenon_H21b zenon_H21a zenon_H173 zenon_H1. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.80/1.01 apply (zenon_L26_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H13 | zenon_intro zenon_H2 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L197_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L233_); trivial. % 0.80/1.01 exact (zenon_H1 zenon_H2). % 0.80/1.01 (* end of lemma zenon_L259_ *) % 0.80/1.01 assert (zenon_L260_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_H91 zenon_H7d zenon_H90 zenon_H9c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L102_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L161_); trivial. % 0.80/1.01 (* end of lemma zenon_L260_ *) % 0.80/1.01 assert (zenon_L261_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hba zenon_Hb7 zenon_H114 zenon_H11d zenon_H115 zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_Hb5. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.01 apply (zenon_L260_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.01 apply (zenon_L47_); trivial. % 0.80/1.01 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.01 (* end of lemma zenon_L261_ *) % 0.80/1.01 assert (zenon_L262_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_Haf zenon_H122 zenon_H115 zenon_H11d zenon_H114 zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H43 zenon_H31 zenon_H33 zenon_H173 zenon_H21b zenon_H21a zenon_H219 zenon_H1 zenon_H1f1 zenon_H69 zenon_H6c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L258_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.01 apply (zenon_L25_); trivial. % 0.80/1.01 apply (zenon_L259_); trivial. % 0.80/1.01 apply (zenon_L261_); trivial. % 0.80/1.01 (* end of lemma zenon_L262_ *) % 0.80/1.01 assert (zenon_L263_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H109 zenon_H173 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L245_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L114_); trivial. % 0.80/1.01 (* end of lemma zenon_L263_ *) % 0.80/1.01 assert (zenon_L264_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp17)) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H6c zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H31 zenon_H33 zenon_H122 zenon_H5 zenon_H11d zenon_H115 zenon_H114 zenon_H12 zenon_Haf. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L74_); trivial. % 0.80/1.01 apply (zenon_L123_); trivial. % 0.80/1.01 (* end of lemma zenon_L264_ *) % 0.80/1.01 assert (zenon_L265_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hba zenon_H6c zenon_H56 zenon_H52 zenon_H19f zenon_H19e zenon_H19d zenon_H31 zenon_H33 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.01 apply (zenon_L169_); trivial. % 0.80/1.01 apply (zenon_L123_); trivial. % 0.80/1.01 (* end of lemma zenon_L265_ *) % 0.80/1.01 assert (zenon_L266_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb9 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69 zenon_Haf zenon_H12 zenon_H114 zenon_H115 zenon_H11d zenon_H122 zenon_H33 zenon_H31 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56 zenon_H6c. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.01 apply (zenon_L264_); trivial. % 0.80/1.01 apply (zenon_L265_); trivial. % 0.80/1.01 (* end of lemma zenon_L266_ *) % 0.80/1.01 assert (zenon_L267_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Haf zenon_H45 zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.01 apply (zenon_L127_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L71_); trivial. % 0.80/1.01 apply (zenon_L45_); trivial. % 0.80/1.01 (* end of lemma zenon_L267_ *) % 0.80/1.01 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp8)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H10d zenon_H52 zenon_H19f zenon_H19e zenon_H19d zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H4f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.01 apply (zenon_L120_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.01 apply (zenon_L267_); trivial. % 0.80/1.01 exact (zenon_H4f zenon_H50). % 0.80/1.01 (* end of lemma zenon_L268_ *) % 0.80/1.01 assert (zenon_L269_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H24b zenon_Hb9 zenon_H198 zenon_Haf zenon_H122 zenon_H19d zenon_H19e zenon_H19f zenon_H79 zenon_H1f8 zenon_Hb5 zenon_H112 zenon_Hee zenon_H10a zenon_H24 zenon_H1f1 zenon_H1 zenon_H43 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_H1ca zenon_H105 zenon_H1df zenon_H1e9 zenon_H1ed zenon_H69 zenon_H33 zenon_H52 zenon_H56 zenon_H6c zenon_H10e zenon_H111. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.80/1.01 apply (zenon_L196_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.01 apply (zenon_L266_); trivial. % 0.80/1.01 apply (zenon_L195_); trivial. % 0.80/1.01 apply (zenon_L268_); trivial. % 0.80/1.01 (* end of lemma zenon_L269_ *) % 0.80/1.01 assert (zenon_L270_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1c9 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H219 zenon_H21b zenon_H21a zenon_H136 zenon_H137 zenon_H138 zenon_H173 zenon_H1c7 zenon_H61. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L92_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.01 apply (zenon_L133_); trivial. % 0.80/1.01 apply (zenon_L105_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.01 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.01 exact (zenon_H61 zenon_H62). % 0.80/1.01 (* end of lemma zenon_L270_ *) % 0.80/1.01 assert (zenon_L271_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1ed zenon_H1e9 zenon_H1df zenon_Hb zenon_He6 zenon_H3f zenon_H105 zenon_H173 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H21a zenon_H21b zenon_H219 zenon_H138 zenon_H137 zenon_H136 zenon_H12 zenon_H61 zenon_H1c9. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.01 apply (zenon_L270_); trivial. % 0.80/1.01 apply (zenon_L141_); trivial. % 0.80/1.01 (* end of lemma zenon_L271_ *) % 0.80/1.01 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H24c zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_H173 zenon_H17e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.01 apply (zenon_L95_); trivial. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.01 apply (zenon_L92_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.01 apply (zenon_L202_); trivial. % 0.80/1.01 apply (zenon_L233_); trivial. % 0.80/1.01 apply (zenon_L238_); trivial. % 0.80/1.01 (* end of lemma zenon_L272_ *) % 0.80/1.01 assert (zenon_L273_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp4)) -> (~(hskp14)) -> (~(c0_1 (a643))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H206 zenon_H1d zenon_H3 zenon_H219 zenon_H21a zenon_H21b zenon_H20 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.80/1.01 apply (zenon_L198_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.80/1.01 apply (zenon_L182_); trivial. % 0.80/1.01 exact (zenon_H87 zenon_H88). % 0.80/1.01 (* end of lemma zenon_L273_ *) % 0.80/1.01 assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.01 do 0 intro. intros zenon_H8b zenon_H79 zenon_H10a zenon_H204 zenon_H4f zenon_H1fd zenon_H1fc zenon_H1fb zenon_H1f8 zenon_H6c zenon_H56 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H33 zenon_H122 zenon_Hb5 zenon_Hb7 zenon_Hb9. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.80/1.01 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.01 apply (zenon_L205_); trivial. % 0.80/1.01 apply (zenon_L184_); trivial. % 0.80/1.01 (* end of lemma zenon_L274_ *) % 0.80/1.01 assert (zenon_L275_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp22)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_He6 zenon_Hb. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H35 | zenon_intro zenon_H1e0 ]. % 0.80/1.01 apply (zenon_L51_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_He7 | zenon_intro zenon_Hc ]. % 0.80/1.01 exact (zenon_He6 zenon_He7). % 0.80/1.01 exact (zenon_Hb zenon_Hc). % 0.80/1.01 (* end of lemma zenon_L275_ *) % 0.80/1.01 assert (zenon_L276_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hb1 zenon_H12 zenon_H14b zenon_Hd2 zenon_Hd0 zenon_Hd1. % 0.80/1.01 generalize (zenon_Hb1 (a695)). zenon_intro zenon_H255. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H257 | zenon_intro zenon_Hd7 ]. % 0.80/1.01 generalize (zenon_H14b (a695)). zenon_intro zenon_H258. % 0.80/1.01 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H259 ]. % 0.80/1.01 exact (zenon_H11 zenon_H12). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H25a ]. % 0.80/1.01 exact (zenon_Hd2 zenon_Hd8). % 0.80/1.01 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25b | zenon_intro zenon_Hd9 ]. % 0.80/1.01 exact (zenon_H25b zenon_H257). % 0.80/1.01 exact (zenon_Hd9 zenon_Hd0). % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.80/1.01 exact (zenon_Hd1 zenon_Hda). % 0.80/1.01 exact (zenon_Hd9 zenon_Hd0). % 0.80/1.01 (* end of lemma zenon_L276_ *) % 0.80/1.01 assert (zenon_L277_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp17)) -> (~(hskp19)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H122 zenon_H16 zenon_H15 zenon_H12 zenon_Hfa zenon_H5 zenon_Hd. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H113 | zenon_intro zenon_H123 ]. % 0.80/1.01 apply (zenon_L97_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_He ]. % 0.80/1.01 exact (zenon_H5 zenon_H6). % 0.80/1.01 exact (zenon_Hd zenon_He). % 0.80/1.01 (* end of lemma zenon_L277_ *) % 0.80/1.01 assert (zenon_L278_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a665))) -> (~(hskp19)) -> (~(hskp17)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> False). % 0.80/1.01 do 0 intro. intros zenon_Hcc zenon_Hb7 zenon_H7e zenon_Hd zenon_H5 zenon_H15 zenon_H16 zenon_H122 zenon_H7f zenon_H80 zenon_H25c zenon_Hb5. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.80/1.01 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.01 apply (zenon_L36_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.80/1.01 apply (zenon_L276_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.80/1.01 apply (zenon_L200_); trivial. % 0.80/1.01 apply (zenon_L277_); trivial. % 0.80/1.01 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.01 (* end of lemma zenon_L278_ *) % 0.80/1.01 assert (zenon_L279_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.80/1.01 do 0 intro. intros zenon_H206 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H45 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.80/1.01 apply (zenon_L244_); trivial. % 0.80/1.01 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.80/1.01 apply (zenon_L182_); trivial. % 0.80/1.01 exact (zenon_H87 zenon_H88). % 0.80/1.01 (* end of lemma zenon_L279_ *) % 0.80/1.01 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H109 zenon_Hdb zenon_Hb7 zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H232 zenon_H80 zenon_H7f zenon_H7e zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.02 apply (zenon_L53_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.02 apply (zenon_L36_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.80/1.02 apply (zenon_L276_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.80/1.02 apply (zenon_L200_); trivial. % 0.80/1.02 apply (zenon_L279_); trivial. % 0.80/1.02 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.02 (* end of lemma zenon_L280_ *) % 0.80/1.02 assert (zenon_L281_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hb9 zenon_H112 zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H232 zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_Hc8 zenon_Hb5 zenon_H7e zenon_H7f zenon_H80 zenon_H25c zenon_H122 zenon_Hb7 zenon_Hdb zenon_H24 zenon_H33 zenon_H31 zenon_H21a zenon_H21b zenon_H219 zenon_H56 zenon_H6c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_L275_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.02 apply (zenon_L53_); trivial. % 0.80/1.02 apply (zenon_L278_); trivial. % 0.80/1.02 apply (zenon_L280_); trivial. % 0.80/1.02 apply (zenon_L204_); trivial. % 0.80/1.02 apply (zenon_L76_); trivial. % 0.80/1.02 (* end of lemma zenon_L281_ *) % 0.80/1.02 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H104 zenon_Hb7 zenon_H7e zenon_H7f zenon_H80 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H25c zenon_Hb5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.02 apply (zenon_L36_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.80/1.02 apply (zenon_L276_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.80/1.02 apply (zenon_L200_); trivial. % 0.80/1.02 apply (zenon_L63_); trivial. % 0.80/1.02 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.02 (* end of lemma zenon_L282_ *) % 0.80/1.02 assert (zenon_L283_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hcc zenon_H10a zenon_Hb7 zenon_H25c zenon_H80 zenon_H7f zenon_H7e zenon_H6e zenon_H6f zenon_H70 zenon_Hb5 zenon_H1f8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.02 apply (zenon_L181_); trivial. % 0.80/1.02 apply (zenon_L282_); trivial. % 0.80/1.02 (* end of lemma zenon_L283_ *) % 0.80/1.02 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H130 zenon_H8e zenon_H79 zenon_H10a zenon_H1f8 zenon_H6c zenon_H56 zenon_H33 zenon_H24 zenon_Hdb zenon_Hb7 zenon_H122 zenon_H25c zenon_Hb5 zenon_Hc8 zenon_H1df zenon_H232 zenon_H112 zenon_Hb9 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.02 apply (zenon_L273_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.02 apply (zenon_L281_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.02 apply (zenon_L53_); trivial. % 0.80/1.02 apply (zenon_L283_); trivial. % 0.80/1.02 (* end of lemma zenon_L284_ *) % 0.80/1.02 assert (zenon_L285_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a693))) -> (~(c1_1 (a693))) -> (c2_1 (a693)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H7d zenon_H12 zenon_H14 zenon_H129 zenon_H15. % 0.80/1.02 generalize (zenon_H7d (a693)). zenon_intro zenon_H25e. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H11 | zenon_intro zenon_H25f ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1a | zenon_intro zenon_H260 ]. % 0.80/1.02 exact (zenon_H14 zenon_H1a). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H12d | zenon_intro zenon_H1c ]. % 0.80/1.02 exact (zenon_H129 zenon_H12d). % 0.80/1.02 exact (zenon_H1c zenon_H15). % 0.80/1.02 (* end of lemma zenon_L285_ *) % 0.80/1.02 assert (zenon_L286_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hfa zenon_H12 zenon_H7d zenon_H14 zenon_H15 zenon_H16. % 0.80/1.02 generalize (zenon_Hfa (a693)). zenon_intro zenon_H12e. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H11 | zenon_intro zenon_H12f ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H129 | zenon_intro zenon_H19 ]. % 0.80/1.02 apply (zenon_L285_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.80/1.02 exact (zenon_H1c zenon_H15). % 0.80/1.02 exact (zenon_H1b zenon_H16). % 0.80/1.02 (* end of lemma zenon_L286_ *) % 0.80/1.02 assert (zenon_L287_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H16 zenon_H15 zenon_H14 zenon_H7d zenon_H12 zenon_H3f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.02 apply (zenon_L57_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.02 apply (zenon_L286_); trivial. % 0.80/1.02 exact (zenon_H3f zenon_H40). % 0.80/1.02 (* end of lemma zenon_L287_ *) % 0.80/1.02 assert (zenon_L288_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H208 zenon_H12 zenon_H18e zenon_H1fb zenon_H1fc zenon_H1fd. % 0.80/1.02 generalize (zenon_H208 (a645)). zenon_intro zenon_H20d. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H11 | zenon_intro zenon_H20e ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H20f | zenon_intro zenon_H200 ]. % 0.80/1.02 generalize (zenon_H18e (a645)). zenon_intro zenon_H261. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H11 | zenon_intro zenon_H262 ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H201 | zenon_intro zenon_H263 ]. % 0.80/1.02 exact (zenon_H1fb zenon_H201). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H20c | zenon_intro zenon_H203 ]. % 0.80/1.02 exact (zenon_H20c zenon_H20f). % 0.80/1.02 exact (zenon_H203 zenon_H1fc). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.80/1.02 exact (zenon_H203 zenon_H1fc). % 0.80/1.02 exact (zenon_H202 zenon_H1fd). % 0.80/1.02 (* end of lemma zenon_L288_ *) % 0.80/1.02 assert (zenon_L289_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H210 zenon_H138 zenon_H137 zenon_H136 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H18e zenon_H12 zenon_H3f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.80/1.02 apply (zenon_L92_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.80/1.02 apply (zenon_L288_); trivial. % 0.80/1.02 exact (zenon_H3f zenon_H40). % 0.80/1.02 (* end of lemma zenon_L289_ *) % 0.80/1.02 assert (zenon_L290_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp11)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1f zenon_H198 zenon_H5a zenon_H59 zenon_H58 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H210 zenon_H138 zenon_H137 zenon_H136 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H3f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.80/1.02 apply (zenon_L26_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.80/1.02 apply (zenon_L287_); trivial. % 0.80/1.02 apply (zenon_L289_); trivial. % 0.80/1.02 (* end of lemma zenon_L290_ *) % 0.80/1.02 assert (zenon_L291_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H69 zenon_H24 zenon_H198 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H1df zenon_He6 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H43 zenon_H3f zenon_H1fd zenon_H1fc zenon_H1fb zenon_H210. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.02 apply (zenon_L190_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.80/1.02 apply (zenon_L92_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H35 | zenon_intro zenon_H1e0 ]. % 0.80/1.02 apply (zenon_L188_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_He7 | zenon_intro zenon_Hc ]. % 0.80/1.02 exact (zenon_He6 zenon_He7). % 0.80/1.02 exact (zenon_Hb zenon_Hc). % 0.80/1.02 exact (zenon_H3f zenon_H40). % 0.80/1.02 apply (zenon_L290_); trivial. % 0.80/1.02 (* end of lemma zenon_L291_ *) % 0.80/1.02 assert (zenon_L292_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H111 zenon_H10e zenon_H69 zenon_H24 zenon_H198 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H1df zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H43 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H210 zenon_Hee zenon_Hea zenon_H10a zenon_H112. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_L291_); trivial. % 0.80/1.02 apply (zenon_L65_); trivial. % 0.80/1.02 apply (zenon_L66_); trivial. % 0.80/1.02 (* end of lemma zenon_L292_ *) % 0.80/1.02 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a647))/\((~(c0_1 (a647)))/\(~(c3_1 (a647)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H212 zenon_H213 zenon_H24b zenon_H1a9 zenon_H143 zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_H173 zenon_H17e zenon_H112 zenon_H10a zenon_Hee zenon_H210 zenon_H43 zenon_H1df zenon_H105 zenon_H198 zenon_H24 zenon_H69 zenon_H10e zenon_H111 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H206. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.80/1.02 apply (zenon_L187_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.80/1.02 apply (zenon_L292_); trivial. % 0.80/1.02 apply (zenon_L272_); trivial. % 0.80/1.02 (* end of lemma zenon_L293_ *) % 0.80/1.02 assert (zenon_L294_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H10e zenon_Hef zenon_Hf0 zenon_H135 zenon_Hf1 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H1cd. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.02 apply (zenon_L136_); trivial. % 0.80/1.02 apply (zenon_L227_); trivial. % 0.80/1.02 (* end of lemma zenon_L294_ *) % 0.80/1.02 assert (zenon_L295_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H206 zenon_H1cd zenon_H1b8 zenon_H1b9 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L294_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.80/1.02 apply (zenon_L182_); trivial. % 0.80/1.02 exact (zenon_H87 zenon_H88). % 0.80/1.02 (* end of lemma zenon_L295_ *) % 0.80/1.02 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1e8 zenon_H1e9 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H206 zenon_H1b9 zenon_H1b8 zenon_H1c2. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.02 apply (zenon_L295_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.02 apply (zenon_L139_); trivial. % 0.80/1.02 apply (zenon_L140_); trivial. % 0.80/1.02 (* end of lemma zenon_L296_ *) % 0.80/1.02 assert (zenon_L297_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H1e9 zenon_H10e zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.02 apply (zenon_L135_); trivial. % 0.80/1.02 apply (zenon_L296_); trivial. % 0.80/1.02 (* end of lemma zenon_L297_ *) % 0.80/1.02 assert (zenon_L298_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H112 zenon_H10e zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H24 zenon_H1f1 zenon_H1 zenon_H43 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_H1df zenon_H1e9 zenon_H1ed zenon_H69. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_L149_); trivial. % 0.80/1.02 apply (zenon_L297_); trivial. % 0.80/1.02 (* end of lemma zenon_L298_ *) % 0.80/1.02 assert (zenon_L299_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H208 zenon_H12 zenon_H1e4 zenon_H1fc zenon_H1fd. % 0.80/1.02 generalize (zenon_H208 (a645)). zenon_intro zenon_H20d. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H11 | zenon_intro zenon_H20e ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H20f | zenon_intro zenon_H200 ]. % 0.80/1.02 generalize (zenon_H1e4 (a645)). zenon_intro zenon_H264. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_H11 | zenon_intro zenon_H265 ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H20c | zenon_intro zenon_H200 ]. % 0.80/1.02 exact (zenon_H20c zenon_H20f). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.80/1.02 exact (zenon_H203 zenon_H1fc). % 0.80/1.02 exact (zenon_H202 zenon_H1fd). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.80/1.02 exact (zenon_H203 zenon_H1fc). % 0.80/1.02 exact (zenon_H202 zenon_H1fd). % 0.80/1.02 (* end of lemma zenon_L299_ *) % 0.80/1.02 assert (zenon_L300_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H210 zenon_H1c1 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_H1fd zenon_H1fc zenon_H1e4 zenon_H12 zenon_H3f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.80/1.02 apply (zenon_L241_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.80/1.02 apply (zenon_L299_); trivial. % 0.80/1.02 exact (zenon_H3f zenon_H40). % 0.80/1.02 (* end of lemma zenon_L300_ *) % 0.80/1.02 assert (zenon_L301_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp11)) -> (ndr1_0) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a645))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1c9 zenon_H3f zenon_H12 zenon_H1fc zenon_H1fd zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H210 zenon_H206 zenon_H1fb zenon_H87 zenon_H1e9 zenon_H1c7 zenon_H61. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.02 apply (zenon_L295_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.02 apply (zenon_L139_); trivial. % 0.80/1.02 apply (zenon_L300_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.02 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.02 exact (zenon_H61 zenon_H62). % 0.80/1.02 (* end of lemma zenon_L301_ *) % 0.80/1.02 assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H1e9 zenon_H3f zenon_H210 zenon_H1c2 zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H61 zenon_H1c9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.02 apply (zenon_L301_); trivial. % 0.80/1.02 apply (zenon_L296_); trivial. % 0.80/1.02 (* end of lemma zenon_L302_ *) % 0.80/1.02 assert (zenon_L303_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H63 zenon_H24 zenon_H1f1 zenon_H1 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_L275_); trivial. % 0.80/1.02 apply (zenon_L147_); trivial. % 0.80/1.02 (* end of lemma zenon_L303_ *) % 0.80/1.02 assert (zenon_L304_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H69 zenon_H24 zenon_H1f1 zenon_H1 zenon_He6 zenon_H1df zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.02 apply (zenon_L84_); trivial. % 0.80/1.02 apply (zenon_L303_); trivial. % 0.80/1.02 (* end of lemma zenon_L304_ *) % 0.80/1.02 assert (zenon_L305_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c1_1 (a646))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H130 zenon_H111 zenon_H69 zenon_H24 zenon_H1f1 zenon_H1 zenon_H1df zenon_H43 zenon_H1c9 zenon_H61 zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H1b8 zenon_H1b9 zenon_H10e zenon_H1c2 zenon_H210 zenon_H1e9 zenon_H1ed zenon_H112. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_L304_); trivial. % 0.80/1.02 apply (zenon_L302_); trivial. % 0.80/1.02 apply (zenon_L174_); trivial. % 0.80/1.02 (* end of lemma zenon_L305_ *) % 0.80/1.02 assert (zenon_L306_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H266 zenon_H12 zenon_H267 zenon_H268 zenon_H269. % 0.80/1.02 generalize (zenon_H266 (a642)). zenon_intro zenon_H26a. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H11 | zenon_intro zenon_H26b ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H26d | zenon_intro zenon_H26c ]. % 0.80/1.02 exact (zenon_H267 zenon_H26d). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26f | zenon_intro zenon_H26e ]. % 0.80/1.02 exact (zenon_H26f zenon_H268). % 0.80/1.02 exact (zenon_H26e zenon_H269). % 0.80/1.02 (* end of lemma zenon_L306_ *) % 0.80/1.02 assert (zenon_L307_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp17)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H2f zenon_H5. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H266 | zenon_intro zenon_H271 ]. % 0.80/1.02 apply (zenon_L306_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H30 | zenon_intro zenon_H6 ]. % 0.80/1.02 exact (zenon_H2f zenon_H30). % 0.80/1.02 exact (zenon_H5 zenon_H6). % 0.80/1.02 (* end of lemma zenon_L307_ *) % 0.80/1.02 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp23)) -> (~(hskp5)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp8)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H51 zenon_H52 zenon_Hc6 zenon_Hb5 zenon_H27 zenon_H26 zenon_H28 zenon_Hc8 zenon_H4f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.02 apply (zenon_L206_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.02 apply (zenon_L22_); trivial. % 0.80/1.02 exact (zenon_H4f zenon_H50). % 0.80/1.02 (* end of lemma zenon_L308_ *) % 0.80/1.02 assert (zenon_L309_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> (~(hskp5)) -> (~(hskp23)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H56 zenon_H52 zenon_H4f zenon_H27 zenon_H26 zenon_H28 zenon_Hb5 zenon_Hc6 zenon_Hc8 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.02 apply (zenon_L307_); trivial. % 0.80/1.02 apply (zenon_L308_); trivial. % 0.80/1.02 (* end of lemma zenon_L309_ *) % 0.80/1.02 assert (zenon_L310_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H68 zenon_Hdb zenon_Hcd zenon_Hca zenon_H87 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_Hc8 zenon_Hb5 zenon_H4f zenon_H52 zenon_H56. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.02 apply (zenon_L309_); trivial. % 0.80/1.02 apply (zenon_L55_); trivial. % 0.80/1.02 (* end of lemma zenon_L310_ *) % 0.80/1.02 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H10d zenon_H8e zenon_H6c zenon_Hdb zenon_Hcd zenon_Hca zenon_H87 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_Hc8 zenon_Hb5 zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H1d zenon_H20 zenon_H24 zenon_Haf zenon_H89 zenon_Hb9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.02 apply (zenon_L13_); trivial. % 0.80/1.02 apply (zenon_L310_); trivial. % 0.80/1.02 apply (zenon_L89_); trivial. % 0.80/1.02 apply (zenon_L39_); trivial. % 0.80/1.02 (* end of lemma zenon_L311_ *) % 0.80/1.02 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp11)) -> (~(c0_1 (a693))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp8)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H51 zenon_H52 zenon_H3f zenon_H14 zenon_H16 zenon_H15 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H4f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.02 apply (zenon_L80_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.02 apply (zenon_L22_); trivial. % 0.80/1.02 exact (zenon_H4f zenon_H50). % 0.80/1.02 (* end of lemma zenon_L312_ *) % 0.80/1.02 assert (zenon_L313_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1f zenon_H56 zenon_H52 zenon_H4f zenon_Hdd zenon_Hde zenon_Hdf zenon_H3f zenon_H105 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.02 apply (zenon_L307_); trivial. % 0.80/1.02 apply (zenon_L312_); trivial. % 0.80/1.02 (* end of lemma zenon_L313_ *) % 0.80/1.02 assert (zenon_L314_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp2)) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H24 zenon_H56 zenon_H52 zenon_H4f zenon_Hdd zenon_Hde zenon_Hdf zenon_H3f zenon_H105 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H9 zenon_Hd zenon_Hf. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_L8_); trivial. % 0.80/1.02 apply (zenon_L313_); trivial. % 0.80/1.02 (* end of lemma zenon_L314_ *) % 0.80/1.02 assert (zenon_L315_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H31 zenon_H43 zenon_Hf zenon_H9 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H4f zenon_H52 zenon_H56 zenon_H24. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.02 apply (zenon_L314_); trivial. % 0.80/1.02 apply (zenon_L29_); trivial. % 0.80/1.02 (* end of lemma zenon_L315_ *) % 0.80/1.02 assert (zenon_L316_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a675))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (ndr1_0) -> False). % 0.80/1.02 do 0 intro. intros zenon_H10e zenon_H9c zenon_H90 zenon_H7d zenon_H91 zenon_Hdf zenon_Hde zenon_Hdd zenon_H12. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.02 apply (zenon_L57_); trivial. % 0.80/1.02 apply (zenon_L161_); trivial. % 0.80/1.02 (* end of lemma zenon_L316_ *) % 0.80/1.02 assert (zenon_L317_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hba zenon_Hb7 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_Hb5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.02 apply (zenon_L316_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.02 apply (zenon_L47_); trivial. % 0.80/1.02 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.02 (* end of lemma zenon_L317_ *) % 0.80/1.02 assert (zenon_L318_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H79 zenon_H77 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_Hf zenon_H9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H4f zenon_H52 zenon_H56 zenon_H24 zenon_H10e zenon_Hb5 zenon_Hb7 zenon_Hb9. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.02 apply (zenon_L315_); trivial. % 0.80/1.02 apply (zenon_L317_); trivial. % 0.80/1.02 apply (zenon_L83_); trivial. % 0.80/1.02 (* end of lemma zenon_L318_ *) % 0.80/1.02 assert (zenon_L319_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H14b zenon_H12 zenon_Hd2 zenon_H7d zenon_Hd0. % 0.80/1.02 generalize (zenon_H14b (a695)). zenon_intro zenon_H258. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H259 ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H25a ]. % 0.80/1.02 exact (zenon_Hd2 zenon_Hd8). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25b | zenon_intro zenon_Hd9 ]. % 0.80/1.02 generalize (zenon_H7d (a695)). zenon_intro zenon_H272. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H11 | zenon_intro zenon_H273 ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H274 ]. % 0.80/1.02 exact (zenon_Hd2 zenon_Hd8). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H257 | zenon_intro zenon_Hd9 ]. % 0.80/1.02 exact (zenon_H25b zenon_H257). % 0.80/1.02 exact (zenon_Hd9 zenon_Hd0). % 0.80/1.02 exact (zenon_Hd9 zenon_Hd0). % 0.80/1.02 (* end of lemma zenon_L319_ *) % 0.80/1.02 assert (zenon_L320_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H173 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.02 apply (zenon_L230_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.02 apply (zenon_L319_); trivial. % 0.80/1.02 apply (zenon_L233_); trivial. % 0.80/1.02 (* end of lemma zenon_L320_ *) % 0.80/1.02 assert (zenon_L321_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H173 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.02 apply (zenon_L230_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.02 apply (zenon_L276_); trivial. % 0.80/1.02 apply (zenon_L233_); trivial. % 0.80/1.02 (* end of lemma zenon_L321_ *) % 0.80/1.02 assert (zenon_L322_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp5)) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hcc zenon_Hb7 zenon_H155 zenon_H154 zenon_H153 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H173 zenon_Hb5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.02 apply (zenon_L320_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.02 apply (zenon_L321_); trivial. % 0.80/1.02 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.02 (* end of lemma zenon_L322_ *) % 0.80/1.02 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H109 zenon_Hdb zenon_Hb7 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H155 zenon_H154 zenon_H153 zenon_H173 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.02 apply (zenon_L53_); trivial. % 0.80/1.02 apply (zenon_L322_); trivial. % 0.80/1.02 (* end of lemma zenon_L323_ *) % 0.80/1.02 assert (zenon_L324_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H173 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.02 apply (zenon_L228_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.02 apply (zenon_L319_); trivial. % 0.80/1.02 apply (zenon_L114_); trivial. % 0.80/1.02 (* end of lemma zenon_L324_ *) % 0.80/1.02 assert (zenon_L325_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H173 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.02 apply (zenon_L228_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.02 apply (zenon_L276_); trivial. % 0.80/1.02 apply (zenon_L114_); trivial. % 0.80/1.02 (* end of lemma zenon_L325_ *) % 0.80/1.02 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp5)) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hcc zenon_Hb7 zenon_H187 zenon_H186 zenon_H185 zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hdf zenon_Hde zenon_Hdd zenon_H173 zenon_Hb5. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.80/1.02 apply (zenon_L324_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.80/1.02 apply (zenon_L325_); trivial. % 0.80/1.02 exact (zenon_Hb5 zenon_Hb6). % 0.80/1.02 (* end of lemma zenon_L326_ *) % 0.80/1.02 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1a6 zenon_H112 zenon_Hdb zenon_Hb7 zenon_H10e zenon_H173 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hc8 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hb5 zenon_He8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_L59_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.80/1.02 apply (zenon_L53_); trivial. % 0.80/1.02 apply (zenon_L326_); trivial. % 0.80/1.02 (* end of lemma zenon_L327_ *) % 0.80/1.02 assert (zenon_L328_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H130 zenon_H24b zenon_H1a9 zenon_H143 zenon_Hc8 zenon_H173 zenon_Haf zenon_Hb7 zenon_Hdb zenon_H17e zenon_H112 zenon_H10a zenon_H105 zenon_Hee zenon_Hdd zenon_Hde zenon_Hdf zenon_Hb5 zenon_He8 zenon_H10e zenon_H111. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.80/1.02 apply (zenon_L67_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.02 apply (zenon_L229_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_L59_); trivial. % 0.80/1.02 apply (zenon_L323_); trivial. % 0.80/1.02 apply (zenon_L327_); trivial. % 0.80/1.02 (* end of lemma zenon_L328_ *) % 0.80/1.02 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H216 zenon_H1b5 zenon_H24b zenon_H1a9 zenon_H143 zenon_Hc8 zenon_H173 zenon_Haf zenon_Hdb zenon_H17e zenon_H112 zenon_H10a zenon_Hee zenon_He8 zenon_H79 zenon_H77 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_Hf zenon_H9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H105 zenon_H52 zenon_H56 zenon_H24 zenon_H10e zenon_Hb5 zenon_Hb7 zenon_Hb9 zenon_H111. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.02 apply (zenon_L318_); trivial. % 0.80/1.02 apply (zenon_L66_); trivial. % 0.80/1.02 apply (zenon_L328_); trivial. % 0.80/1.02 (* end of lemma zenon_L329_ *) % 0.80/1.02 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (~(hskp7)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H51 zenon_H253 zenon_H155 zenon_H154 zenon_H153 zenon_H181. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8f | zenon_intro zenon_H254 ]. % 0.80/1.02 apply (zenon_L102_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H45 | zenon_intro zenon_H182 ]. % 0.80/1.02 apply (zenon_L22_); trivial. % 0.80/1.02 exact (zenon_H181 zenon_H182). % 0.80/1.02 (* end of lemma zenon_L330_ *) % 0.80/1.02 assert (zenon_L331_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H56 zenon_H253 zenon_H181 zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.02 apply (zenon_L307_); trivial. % 0.80/1.02 apply (zenon_L330_); trivial. % 0.80/1.02 (* end of lemma zenon_L331_ *) % 0.80/1.02 assert (zenon_L332_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/1.02 do 0 intro. intros zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H9c zenon_H7d zenon_H90 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.02 apply (zenon_L102_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.02 apply (zenon_L44_); trivial. % 0.80/1.02 apply (zenon_L45_); trivial. % 0.80/1.02 (* end of lemma zenon_L332_ *) % 0.80/1.02 assert (zenon_L333_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hba zenon_H89 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_H87 zenon_H9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.80/1.02 apply (zenon_L332_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.80/1.02 exact (zenon_H87 zenon_H88). % 0.80/1.02 exact (zenon_H9 zenon_Ha). % 0.80/1.02 (* end of lemma zenon_L333_ *) % 0.80/1.02 assert (zenon_L334_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H175 zenon_Hb9 zenon_H89 zenon_H9 zenon_H87 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Haf zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H181 zenon_H253 zenon_H56. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.02 apply (zenon_L331_); trivial. % 0.80/1.02 apply (zenon_L333_); trivial. % 0.80/1.02 (* end of lemma zenon_L334_ *) % 0.80/1.02 assert (zenon_L335_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H17e zenon_Hb9 zenon_H89 zenon_H9 zenon_H87 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Haf zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H181 zenon_H253 zenon_H56 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H13f zenon_H143. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.02 apply (zenon_L95_); trivial. % 0.80/1.02 apply (zenon_L334_); trivial. % 0.80/1.02 (* end of lemma zenon_L335_ *) % 0.80/1.02 assert (zenon_L336_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp4)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H275 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H17f zenon_H1d. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H266 | zenon_intro zenon_H276 ]. % 0.80/1.02 apply (zenon_L306_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H180 | zenon_intro zenon_H1e ]. % 0.80/1.02 exact (zenon_H17f zenon_H180). % 0.80/1.02 exact (zenon_H1d zenon_H1e). % 0.80/1.02 (* end of lemma zenon_L336_ *) % 0.80/1.02 assert (zenon_L337_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a686))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(c2_1 (a676))) -> (ndr1_0) -> False). % 0.80/1.02 do 0 intro. intros zenon_H10e zenon_Hef zenon_Hf0 zenon_H14b zenon_Hf1 zenon_H190 zenon_H191 zenon_H1fa zenon_H18f zenon_H12. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.80/1.02 apply (zenon_L211_); trivial. % 0.80/1.02 apply (zenon_L231_); trivial. % 0.80/1.02 (* end of lemma zenon_L337_ *) % 0.80/1.02 assert (zenon_L338_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (ndr1_0) -> (~(c2_1 (a676))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c3_1 (a686))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp6)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H206 zenon_H138 zenon_H137 zenon_H136 zenon_H12 zenon_H18f zenon_H191 zenon_H190 zenon_Hf1 zenon_H14b zenon_Hf0 zenon_Hef zenon_H10e zenon_H87. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.80/1.02 apply (zenon_L92_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.80/1.02 apply (zenon_L337_); trivial. % 0.80/1.02 exact (zenon_H87 zenon_H88). % 0.80/1.02 (* end of lemma zenon_L338_ *) % 0.80/1.02 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp6)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> (~(c2_1 (a676))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H109 zenon_H173 zenon_H87 zenon_H10e zenon_H190 zenon_H191 zenon_H18f zenon_H136 zenon_H137 zenon_H138 zenon_H206 zenon_H185 zenon_H186 zenon_H187. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.80/1.02 apply (zenon_L92_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.80/1.02 apply (zenon_L338_); trivial. % 0.80/1.02 apply (zenon_L114_); trivial. % 0.80/1.02 (* end of lemma zenon_L339_ *) % 0.80/1.02 assert (zenon_L340_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp22)) -> (~(hskp20)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H77 zenon_Hb zenon_He6 zenon_H27 zenon_H26 zenon_H28 zenon_H1df zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/1.02 apply (zenon_L156_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/1.02 apply (zenon_L31_); trivial. % 0.80/1.02 exact (zenon_H9 zenon_Ha). % 0.80/1.02 (* end of lemma zenon_L340_ *) % 0.80/1.02 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H1a6 zenon_H8e zenon_H89 zenon_H23e zenon_H6c zenon_H112 zenon_H173 zenon_H10e zenon_H87 zenon_H206 zenon_H138 zenon_H137 zenon_H136 zenon_H56 zenon_H52 zenon_H4f zenon_H1df zenon_H33 zenon_Hf zenon_H9 zenon_H20 zenon_H24 zenon_H267 zenon_H268 zenon_H269 zenon_H1d zenon_H275 zenon_H77 zenon_H79. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.80/1.02 apply (zenon_L336_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.02 apply (zenon_L13_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_L158_); trivial. % 0.80/1.02 apply (zenon_L12_); trivial. % 0.80/1.02 apply (zenon_L339_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.80/1.02 apply (zenon_L336_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.02 apply (zenon_L13_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_L340_); trivial. % 0.80/1.02 apply (zenon_L12_); trivial. % 0.80/1.02 apply (zenon_L339_); trivial. % 0.80/1.02 apply (zenon_L39_); trivial. % 0.80/1.02 (* end of lemma zenon_L341_ *) % 0.80/1.02 assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H10d zenon_H1a9 zenon_H8e zenon_H23e zenon_H6c zenon_H112 zenon_H173 zenon_H10e zenon_H206 zenon_H52 zenon_H4f zenon_H1df zenon_H33 zenon_Hf zenon_H20 zenon_H24 zenon_H1d zenon_H275 zenon_H77 zenon_H79 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H56 zenon_H253 zenon_H181 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_Haf zenon_H87 zenon_H9 zenon_H89 zenon_Hb9 zenon_H17e. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.02 apply (zenon_L335_); trivial. % 0.80/1.02 apply (zenon_L341_); trivial. % 0.80/1.02 (* end of lemma zenon_L342_ *) % 0.80/1.02 assert (zenon_L343_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H24 zenon_H20 zenon_H1d zenon_H3 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.02 apply (zenon_L275_); trivial. % 0.80/1.02 apply (zenon_L12_); trivial. % 0.80/1.02 (* end of lemma zenon_L343_ *) % 0.80/1.02 assert (zenon_L344_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.02 apply (zenon_L307_); trivial. % 0.80/1.02 apply (zenon_L122_); trivial. % 0.80/1.02 (* end of lemma zenon_L344_ *) % 0.80/1.02 assert (zenon_L345_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H113 zenon_H12 zenon_H19e zenon_H277 zenon_H19d zenon_H19f. % 0.80/1.02 generalize (zenon_H113 (a651)). zenon_intro zenon_H278. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H11 | zenon_intro zenon_H279 ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H27a ]. % 0.80/1.02 exact (zenon_H19e zenon_H1a5). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27b | zenon_intro zenon_H1a4 ]. % 0.80/1.02 generalize (zenon_H277 (a651)). zenon_intro zenon_H27c. % 0.80/1.02 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H11 | zenon_intro zenon_H27d ]. % 0.80/1.02 exact (zenon_H11 zenon_H12). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H27e ]. % 0.80/1.02 exact (zenon_H19d zenon_H1a3). % 0.80/1.02 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H27f | zenon_intro zenon_H1a4 ]. % 0.80/1.02 exact (zenon_H27b zenon_H27f). % 0.80/1.02 exact (zenon_H1a4 zenon_H19f). % 0.80/1.02 exact (zenon_H1a4 zenon_H19f). % 0.80/1.02 (* end of lemma zenon_L345_ *) % 0.80/1.02 assert (zenon_L346_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H149 zenon_H138 zenon_H137 zenon_H136 zenon_H19f zenon_H19d zenon_H277 zenon_H19e zenon_H12 zenon_H147. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.80/1.02 apply (zenon_L92_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.80/1.02 apply (zenon_L345_); trivial. % 0.80/1.02 exact (zenon_H147 zenon_H148). % 0.80/1.02 (* end of lemma zenon_L346_ *) % 0.80/1.02 assert (zenon_L347_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp27)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H280 zenon_H147 zenon_H19e zenon_H19d zenon_H19f zenon_H136 zenon_H137 zenon_H138 zenon_H149 zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Hea. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.80/1.02 apply (zenon_L346_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.80/1.02 apply (zenon_L116_); trivial. % 0.80/1.02 exact (zenon_Hea zenon_Heb). % 0.80/1.02 (* end of lemma zenon_L347_ *) % 0.80/1.02 assert (zenon_L348_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H282 zenon_H9c zenon_H91 zenon_H90 zenon_H15e zenon_H15d zenon_Hfa zenon_H12 zenon_H18f zenon_H190 zenon_H191. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H283 ]. % 0.80/1.02 apply (zenon_L47_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H113 | zenon_intro zenon_H18e ]. % 0.80/1.02 apply (zenon_L248_); trivial. % 0.80/1.02 apply (zenon_L116_); trivial. % 0.80/1.02 (* end of lemma zenon_L348_ *) % 0.80/1.02 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(hskp3)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H17a zenon_H177 zenon_H19f zenon_H19e zenon_H19d zenon_H191 zenon_H190 zenon_H18f zenon_H90 zenon_H91 zenon_H9c zenon_H282 zenon_Hca. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.80/1.02 apply (zenon_L120_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.80/1.02 apply (zenon_L348_); trivial. % 0.80/1.02 exact (zenon_Hca zenon_Hcb). % 0.80/1.02 (* end of lemma zenon_L349_ *) % 0.80/1.02 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H19a zenon_H176 zenon_H177 zenon_Hca zenon_H90 zenon_H91 zenon_H9c zenon_H282 zenon_H149 zenon_H19f zenon_H19d zenon_H19e zenon_H138 zenon_H137 zenon_H136 zenon_Hea zenon_H280. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.80/1.02 apply (zenon_L347_); trivial. % 0.80/1.02 apply (zenon_L349_); trivial. % 0.80/1.02 (* end of lemma zenon_L350_ *) % 0.80/1.02 assert (zenon_L351_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_Hb9 zenon_H23e zenon_H176 zenon_H177 zenon_Hca zenon_H282 zenon_H149 zenon_H138 zenon_H137 zenon_H136 zenon_Hea zenon_H280 zenon_H1d zenon_H275 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56. % 0.80/1.02 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.02 apply (zenon_L344_); trivial. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.80/1.02 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.80/1.02 apply (zenon_L336_); trivial. % 0.80/1.02 apply (zenon_L350_); trivial. % 0.80/1.02 (* end of lemma zenon_L351_ *) % 0.80/1.02 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp2)) -> False). % 0.80/1.02 do 0 intro. intros zenon_H7a zenon_H77 zenon_H19f zenon_H19e zenon_H19d zenon_H9. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.80/1.02 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.80/1.02 apply (zenon_L120_); trivial. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.80/1.02 apply (zenon_L31_); trivial. % 0.80/1.02 exact (zenon_H9 zenon_Ha). % 0.80/1.02 (* end of lemma zenon_L352_ *) % 0.80/1.02 assert (zenon_L353_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H79 zenon_H77 zenon_H19f zenon_H19e zenon_H19d zenon_H24 zenon_H20 zenon_H1d zenon_H3 zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H3f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.80/1.02 apply (zenon_L30_); trivial. % 0.80/1.02 apply (zenon_L352_); trivial. % 0.80/1.02 (* end of lemma zenon_L353_ *) % 0.80/1.02 assert (zenon_L354_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.80/1.02 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H1d zenon_H20 zenon_H24 zenon_H19d zenon_H19e zenon_H19f zenon_H77 zenon_H79. % 0.80/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.02 apply (zenon_L353_); trivial. % 0.80/1.02 apply (zenon_L39_); trivial. % 0.80/1.02 (* end of lemma zenon_L354_ *) % 0.80/1.02 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H175 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.80/1.03 apply (zenon_L102_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.80/1.03 apply (zenon_L71_); trivial. % 0.80/1.03 apply (zenon_L45_); trivial. % 0.80/1.03 (* end of lemma zenon_L355_ *) % 0.80/1.03 assert (zenon_L356_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H17e zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H13f zenon_H143. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.80/1.03 apply (zenon_L95_); trivial. % 0.80/1.03 apply (zenon_L355_); trivial. % 0.80/1.03 (* end of lemma zenon_L356_ *) % 0.80/1.03 assert (zenon_L357_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H10d zenon_H1a9 zenon_H77 zenon_H9 zenon_H173 zenon_H19f zenon_H19e zenon_H19d zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H17e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.80/1.03 apply (zenon_L356_); trivial. % 0.80/1.03 apply (zenon_L124_); trivial. % 0.80/1.03 (* end of lemma zenon_L357_ *) % 0.80/1.03 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H24c zenon_H111 zenon_H1a9 zenon_H173 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_Haf zenon_H17e zenon_H79 zenon_H77 zenon_H19f zenon_H19e zenon_H19d zenon_H24 zenon_H20 zenon_H1d zenon_H9 zenon_Hf zenon_H56 zenon_H52 zenon_H4f zenon_H43 zenon_H33 zenon_H61 zenon_H64 zenon_H69 zenon_H6c zenon_H87 zenon_H89 zenon_H8e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.03 apply (zenon_L354_); trivial. % 0.80/1.03 apply (zenon_L357_); trivial. % 0.80/1.03 (* end of lemma zenon_L358_ *) % 0.80/1.03 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H109 zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hea zenon_Hee. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.80/1.03 apply (zenon_L62_); trivial. % 0.80/1.03 apply (zenon_L219_); trivial. % 0.80/1.03 (* end of lemma zenon_L359_ *) % 0.80/1.03 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H130 zenon_H24b zenon_H111 zenon_H1a9 zenon_H77 zenon_H173 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_Haf zenon_H17e zenon_H43 zenon_H61 zenon_H64 zenon_H69 zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hee zenon_H1df zenon_H1d zenon_H20 zenon_H24 zenon_H87 zenon_H9 zenon_H89 zenon_H8e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.80/1.03 apply (zenon_L343_); trivial. % 0.80/1.03 apply (zenon_L359_); trivial. % 0.80/1.03 apply (zenon_L39_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.80/1.03 apply (zenon_L85_); trivial. % 0.80/1.03 apply (zenon_L357_); trivial. % 0.80/1.03 (* end of lemma zenon_L360_ *) % 0.80/1.03 assert (zenon_L361_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a693))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H14b zenon_H12 zenon_H14 zenon_H36 zenon_H16 zenon_H15. % 0.80/1.03 generalize (zenon_H14b (a693)). zenon_intro zenon_H284. % 0.80/1.03 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_H11 | zenon_intro zenon_H285 ]. % 0.80/1.03 exact (zenon_H11 zenon_H12). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H1a | zenon_intro zenon_H286 ]. % 0.80/1.03 exact (zenon_H14 zenon_H1a). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H129 | zenon_intro zenon_H1c ]. % 0.80/1.03 apply (zenon_L78_); trivial. % 0.80/1.03 exact (zenon_H1c zenon_H15). % 0.80/1.03 (* end of lemma zenon_L361_ *) % 0.80/1.03 assert (zenon_L362_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H105 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1c1 zenon_H16 zenon_H15 zenon_H113 zenon_H12 zenon_H3f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.03 apply (zenon_L133_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.03 apply (zenon_L97_); trivial. % 0.80/1.03 exact (zenon_H3f zenon_H40). % 0.80/1.03 (* end of lemma zenon_L362_ *) % 0.80/1.03 assert (zenon_L363_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a693))) -> (~(hskp11)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H232 zenon_H36 zenon_H14 zenon_H3f zenon_H15 zenon_H16 zenon_H1c1 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H105 zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.80/1.03 apply (zenon_L361_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.80/1.03 apply (zenon_L362_); trivial. % 0.80/1.03 apply (zenon_L22_); trivial. % 0.80/1.03 (* end of lemma zenon_L363_ *) % 0.80/1.03 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a693))) -> (~(hskp11)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H51 zenon_H1c9 zenon_H4f zenon_H232 zenon_H14 zenon_H3f zenon_H15 zenon_H16 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H105 zenon_H52 zenon_H1c7 zenon_H61. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.80/1.03 apply (zenon_L363_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.80/1.03 apply (zenon_L22_); trivial. % 0.80/1.03 exact (zenon_H4f zenon_H50). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.80/1.03 exact (zenon_H1c7 zenon_H1c8). % 0.80/1.03 exact (zenon_H61 zenon_H62). % 0.80/1.03 (* end of lemma zenon_L364_ *) % 0.80/1.03 assert (zenon_L365_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(hskp26)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (~(c0_1 (a693))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H56 zenon_H1c9 zenon_H61 zenon_H1c7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H15 zenon_H16 zenon_H14 zenon_H4f zenon_H52 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.03 apply (zenon_L307_); trivial. % 0.80/1.03 apply (zenon_L364_); trivial. % 0.80/1.03 (* end of lemma zenon_L365_ *) % 0.80/1.03 assert (zenon_L366_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a693))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a693)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H14b zenon_H12 zenon_H14 zenon_H7d zenon_H15. % 0.80/1.03 generalize (zenon_H14b (a693)). zenon_intro zenon_H284. % 0.80/1.03 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_H11 | zenon_intro zenon_H285 ]. % 0.80/1.03 exact (zenon_H11 zenon_H12). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H1a | zenon_intro zenon_H286 ]. % 0.80/1.03 exact (zenon_H14 zenon_H1a). % 0.80/1.03 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H129 | zenon_intro zenon_H1c ]. % 0.80/1.03 apply (zenon_L285_); trivial. % 0.80/1.03 exact (zenon_H1c zenon_H15). % 0.80/1.03 (* end of lemma zenon_L366_ *) % 0.80/1.03 assert (zenon_L367_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1cd zenon_H16 zenon_H15 zenon_H113 zenon_H12 zenon_H3f. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.80/1.03 apply (zenon_L136_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.80/1.03 apply (zenon_L97_); trivial. % 0.80/1.03 exact (zenon_H3f zenon_H40). % 0.80/1.03 (* end of lemma zenon_L367_ *) % 0.80/1.03 assert (zenon_L368_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (~(hskp11)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H232 zenon_H7d zenon_H14 zenon_H3f zenon_H15 zenon_H16 zenon_H1cd zenon_H1b8 zenon_H1b9 zenon_H105 zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.80/1.03 apply (zenon_L366_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.80/1.03 apply (zenon_L367_); trivial. % 0.80/1.03 apply (zenon_L22_); trivial. % 0.80/1.03 (* end of lemma zenon_L368_ *) % 0.80/1.03 assert (zenon_L369_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (~(hskp11)) -> (~(c0_1 (a693))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (ndr1_0) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1e9 zenon_H48 zenon_H47 zenon_H46 zenon_H105 zenon_H16 zenon_H15 zenon_H3f zenon_H14 zenon_H7d zenon_H232 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H12 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.80/1.03 apply (zenon_L368_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.80/1.03 apply (zenon_L139_); trivial. % 0.80/1.03 apply (zenon_L140_); trivial. % 0.80/1.03 (* end of lemma zenon_L369_ *) % 0.80/1.03 assert (zenon_L370_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.80/1.03 do 0 intro. intros zenon_H51 zenon_H198 zenon_H43 zenon_H41 zenon_H232 zenon_H14 zenon_H15 zenon_H16 zenon_H1e9 zenon_H3f zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.80/1.03 apply (zenon_L145_); trivial. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.80/1.03 apply (zenon_L369_); trivial. % 0.80/1.03 apply (zenon_L165_); trivial. % 0.80/1.03 (* end of lemma zenon_L370_ *) % 0.80/1.03 assert (zenon_L371_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp21)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H1f zenon_H1ed zenon_H198 zenon_H1e9 zenon_H43 zenon_H41 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H4f zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H61 zenon_H1c9 zenon_H56. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.80/1.03 apply (zenon_L365_); trivial. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.80/1.03 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.80/1.03 apply (zenon_L307_); trivial. % 0.80/1.03 apply (zenon_L370_); trivial. % 0.80/1.03 (* end of lemma zenon_L371_ *) % 0.80/1.03 assert (zenon_L372_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H69 zenon_H64 zenon_Hf zenon_Hd zenon_H9 zenon_H56 zenon_H1c9 zenon_H61 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H4f zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H43 zenon_H1e9 zenon_H198 zenon_H1ed zenon_H24. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.80/1.03 apply (zenon_L8_); trivial. % 0.80/1.03 apply (zenon_L371_); trivial. % 0.80/1.03 apply (zenon_L28_); trivial. % 0.80/1.03 (* end of lemma zenon_L372_ *) % 0.80/1.03 assert (zenon_L373_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H6c zenon_H33 zenon_H31 zenon_H24 zenon_H1ed zenon_H198 zenon_H1e9 zenon_H43 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H4f zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H61 zenon_H1c9 zenon_H56 zenon_H9 zenon_Hf zenon_H64 zenon_H69. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.03 apply (zenon_L372_); trivial. % 0.80/1.03 apply (zenon_L29_); trivial. % 0.80/1.03 (* end of lemma zenon_L373_ *) % 0.80/1.03 assert (zenon_L374_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_Hb9 zenon_Hcd zenon_Hca zenon_H87 zenon_H181 zenon_H253 zenon_H10e zenon_H1ca zenon_H69 zenon_H64 zenon_Hf zenon_H9 zenon_H56 zenon_H1c9 zenon_H61 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H4f zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H43 zenon_H1e9 zenon_H198 zenon_H1ed zenon_H24 zenon_H31 zenon_H33 zenon_H6c. % 0.80/1.03 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.80/1.03 apply (zenon_L373_); trivial. % 0.80/1.03 apply (zenon_L257_); trivial. % 0.80/1.03 (* end of lemma zenon_L374_ *) % 0.80/1.03 assert (zenon_L375_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_H6c zenon_H6e zenon_H6f zenon_H70 zenon_H77 zenon_H24 zenon_H1ed zenon_H198 zenon_H1e9 zenon_H43 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H4f zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H61 zenon_H1c9 zenon_H56 zenon_H9 zenon_Hf zenon_H64 zenon_H69. % 0.80/1.03 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.80/1.03 apply (zenon_L372_); trivial. % 0.80/1.03 apply (zenon_L33_); trivial. % 0.80/1.03 (* end of lemma zenon_L375_ *) % 0.80/1.03 assert (zenon_L376_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.80/1.03 do 0 intro. intros zenon_Hb9 zenon_H6c zenon_H31 zenon_H33 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.03 apply (zenon_L344_); trivial. % 0.88/1.03 apply (zenon_L265_); trivial. % 0.88/1.03 (* end of lemma zenon_L376_ *) % 0.88/1.03 assert (zenon_L377_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H79 zenon_H77 zenon_H9 zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H69 zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H1ca zenon_H105 zenon_H3f zenon_H43 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_H33 zenon_H6c zenon_Hb9. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.03 apply (zenon_L376_); trivial. % 0.88/1.03 apply (zenon_L352_); trivial. % 0.88/1.03 (* end of lemma zenon_L377_ *) % 0.88/1.03 assert (zenon_L378_ : ((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1b4 zenon_H1b5 zenon_H64 zenon_H79 zenon_H77 zenon_H9 zenon_H56 zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H69 zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H1ca zenon_H105 zenon_H43 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_H33 zenon_H6c zenon_Hb9 zenon_H111. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.03 apply (zenon_L377_); trivial. % 0.88/1.03 apply (zenon_L174_); trivial. % 0.88/1.03 apply (zenon_L177_); trivial. % 0.88/1.03 (* end of lemma zenon_L378_ *) % 0.88/1.03 assert (zenon_L379_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp2)\/(hskp24))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp24)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H287 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H9 zenon_H288. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H1fa | zenon_intro zenon_H289 ]. % 0.88/1.03 apply (zenon_L182_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_Ha | zenon_intro zenon_H28a ]. % 0.88/1.03 exact (zenon_H9 zenon_Ha). % 0.88/1.03 exact (zenon_H288 zenon_H28a). % 0.88/1.03 (* end of lemma zenon_L379_ *) % 0.88/1.03 assert (zenon_L380_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a698))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c2_1 (a698))) -> (c1_1 (a698)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H135 zenon_H12 zenon_H28b zenon_H277 zenon_H28c zenon_H28d. % 0.88/1.03 generalize (zenon_H135 (a698)). zenon_intro zenon_H28e. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H28e); [ zenon_intro zenon_H11 | zenon_intro zenon_H28f ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H291 | zenon_intro zenon_H290 ]. % 0.88/1.03 exact (zenon_H28b zenon_H291). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H293 | zenon_intro zenon_H292 ]. % 0.88/1.03 generalize (zenon_H277 (a698)). zenon_intro zenon_H294. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H294); [ zenon_intro zenon_H11 | zenon_intro zenon_H295 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H291 | zenon_intro zenon_H296 ]. % 0.88/1.03 exact (zenon_H28b zenon_H291). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 0.88/1.03 exact (zenon_H28c zenon_H298). % 0.88/1.03 exact (zenon_H297 zenon_H293). % 0.88/1.03 exact (zenon_H292 zenon_H28d). % 0.88/1.03 (* end of lemma zenon_L380_ *) % 0.88/1.03 assert (zenon_L381_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a698)) -> (~(c2_1 (a698))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c0_1 (a698))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H206 zenon_H28d zenon_H28c zenon_H277 zenon_H28b zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.03 apply (zenon_L380_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.03 apply (zenon_L182_); trivial. % 0.88/1.03 exact (zenon_H87 zenon_H88). % 0.88/1.03 (* end of lemma zenon_L381_ *) % 0.88/1.03 assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a698))/\((~(c0_1 (a698)))/\(~(c2_1 (a698)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (~(hskp10)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H299 zenon_H280 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H206 zenon_H191 zenon_H190 zenon_H18f zenon_Hea. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H12. zenon_intro zenon_H29a. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H28d. zenon_intro zenon_H29b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H28b. zenon_intro zenon_H28c. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.88/1.03 apply (zenon_L381_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.88/1.03 apply (zenon_L116_); trivial. % 0.88/1.03 exact (zenon_Hea zenon_Heb). % 0.88/1.03 (* end of lemma zenon_L382_ *) % 0.88/1.03 assert (zenon_L383_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a698))/\((~(c0_1 (a698)))/\(~(c2_1 (a698))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp2)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp2)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H23e zenon_H29c zenon_H280 zenon_Hea zenon_H87 zenon_H206 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H9 zenon_H287 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H1d zenon_H275. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.03 apply (zenon_L336_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H288 | zenon_intro zenon_H299 ]. % 0.88/1.03 apply (zenon_L379_); trivial. % 0.88/1.03 apply (zenon_L382_); trivial. % 0.88/1.03 (* end of lemma zenon_L383_ *) % 0.88/1.03 assert (zenon_L384_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H6c zenon_H69 zenon_H64 zenon_H61 zenon_H33 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56 zenon_Hf zenon_H9 zenon_H1d zenon_H20 zenon_H24 zenon_H1f8 zenon_Hb5 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H204 zenon_H10a zenon_H79. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.03 apply (zenon_L30_); trivial. % 0.88/1.03 apply (zenon_L184_); trivial. % 0.88/1.03 apply (zenon_L39_); trivial. % 0.88/1.03 (* end of lemma zenon_L384_ *) % 0.88/1.03 assert (zenon_L385_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp23)) -> (~(hskp5)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp8)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H52 zenon_Hc6 zenon_Hb5 zenon_H27 zenon_H26 zenon_H28 zenon_Hc8 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H12 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H4f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H36 | zenon_intro zenon_H55 ]. % 0.88/1.03 apply (zenon_L206_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H45 | zenon_intro zenon_H50 ]. % 0.88/1.03 apply (zenon_L267_); trivial. % 0.88/1.03 exact (zenon_H4f zenon_H50). % 0.88/1.03 (* end of lemma zenon_L385_ *) % 0.88/1.03 assert (zenon_L386_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Haf zenon_H113 zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.03 apply (zenon_L69_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.03 apply (zenon_L71_); trivial. % 0.88/1.03 apply (zenon_L45_); trivial. % 0.88/1.03 (* end of lemma zenon_L386_ *) % 0.88/1.03 assert (zenon_L387_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H232 zenon_H15 zenon_H7d zenon_H14 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.03 apply (zenon_L366_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.03 apply (zenon_L386_); trivial. % 0.88/1.03 apply (zenon_L22_); trivial. % 0.88/1.03 (* end of lemma zenon_L387_ *) % 0.88/1.03 assert (zenon_L388_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H232 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.03 apply (zenon_L276_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.03 apply (zenon_L386_); trivial. % 0.88/1.03 apply (zenon_L22_); trivial. % 0.88/1.03 (* end of lemma zenon_L388_ *) % 0.88/1.03 assert (zenon_L389_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_H14 zenon_H15 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H232 zenon_Hb5. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.03 apply (zenon_L387_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.03 apply (zenon_L388_); trivial. % 0.88/1.03 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.03 (* end of lemma zenon_L389_ *) % 0.88/1.03 assert (zenon_L390_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hcc zenon_H56 zenon_Hb7 zenon_Hb5 zenon_H14 zenon_H15 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.03 apply (zenon_L307_); trivial. % 0.88/1.03 apply (zenon_L389_); trivial. % 0.88/1.03 (* end of lemma zenon_L390_ *) % 0.88/1.03 assert (zenon_L391_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a682)) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c3_1 (a657))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H56 zenon_Hb7 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_Hc8 zenon_Hb5 zenon_H28 zenon_H26 zenon_H27 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Ha6 zenon_Ha8 zenon_Ha7 zenon_H4f zenon_H52. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.03 apply (zenon_L385_); trivial. % 0.88/1.03 apply (zenon_L390_); trivial. % 0.88/1.03 (* end of lemma zenon_L391_ *) % 0.88/1.03 assert (zenon_L392_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c3_1 (a657))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H24 zenon_Hdb zenon_Hb7 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_Hc8 zenon_Hb5 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Ha6 zenon_Ha8 zenon_Ha7 zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H1df zenon_He6 zenon_H4f zenon_H52 zenon_H56. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.03 apply (zenon_L158_); trivial. % 0.88/1.03 apply (zenon_L391_); trivial. % 0.88/1.03 (* end of lemma zenon_L392_ *) % 0.88/1.03 assert (zenon_L393_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.03 apply (zenon_L319_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.03 apply (zenon_L243_); trivial. % 0.88/1.03 apply (zenon_L244_); trivial. % 0.88/1.03 (* end of lemma zenon_L393_ *) % 0.88/1.03 assert (zenon_L394_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H206 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H232 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.03 apply (zenon_L393_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.03 apply (zenon_L182_); trivial. % 0.88/1.03 exact (zenon_H87 zenon_H88). % 0.88/1.03 (* end of lemma zenon_L394_ *) % 0.88/1.03 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H232 zenon_Hb5. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.03 apply (zenon_L394_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.03 apply (zenon_L388_); trivial. % 0.88/1.03 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.03 (* end of lemma zenon_L395_ *) % 0.88/1.03 assert (zenon_L396_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hcc zenon_H56 zenon_Hb7 zenon_Hb5 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.03 apply (zenon_L307_); trivial. % 0.88/1.03 apply (zenon_L395_); trivial. % 0.88/1.03 (* end of lemma zenon_L396_ *) % 0.88/1.03 assert (zenon_L397_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (ndr1_0) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp2)) -> (~(hskp0)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H64 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H12 zenon_H90 zenon_H7d zenon_H9c zenon_H91 zenon_Haf zenon_H9 zenon_H61. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H57 | zenon_intro zenon_H67 ]. % 0.88/1.03 apply (zenon_L46_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_Ha | zenon_intro zenon_H62 ]. % 0.88/1.03 exact (zenon_H9 zenon_Ha). % 0.88/1.03 exact (zenon_H61 zenon_H62). % 0.88/1.03 (* end of lemma zenon_L397_ *) % 0.88/1.03 assert (zenon_L398_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hba zenon_H23e zenon_H198 zenon_H9 zenon_H61 zenon_H64 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_Hb5 zenon_Hb7 zenon_H267 zenon_H268 zenon_H269 zenon_H1d zenon_H275. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.03 apply (zenon_L336_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.03 apply (zenon_L49_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.03 apply (zenon_L397_); trivial. % 0.88/1.03 apply (zenon_L116_); trivial. % 0.88/1.03 (* end of lemma zenon_L398_ *) % 0.88/1.03 assert (zenon_L399_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> (~(hskp14)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H79 zenon_H10a zenon_H204 zenon_H1f8 zenon_H6c zenon_H112 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H56 zenon_H52 zenon_H4f zenon_H1df zenon_H33 zenon_Ha7 zenon_Ha8 zenon_Ha6 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hb5 zenon_Hc8 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb7 zenon_Hdb zenon_Hf zenon_H9 zenon_H3 zenon_H1d zenon_H20 zenon_H24 zenon_H275 zenon_H64 zenon_H61 zenon_H198 zenon_H23e zenon_Hb9. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.03 apply (zenon_L13_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.03 apply (zenon_L392_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.03 apply (zenon_L309_); trivial. % 0.88/1.03 apply (zenon_L396_); trivial. % 0.88/1.03 apply (zenon_L398_); trivial. % 0.88/1.03 apply (zenon_L184_); trivial. % 0.88/1.03 (* end of lemma zenon_L399_ *) % 0.88/1.03 assert (zenon_L400_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H232 zenon_H15 zenon_H7d zenon_H14 zenon_H11d zenon_H115 zenon_H114 zenon_Haf zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.03 apply (zenon_L366_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.03 apply (zenon_L246_); trivial. % 0.88/1.03 apply (zenon_L22_); trivial. % 0.88/1.03 (* end of lemma zenon_L400_ *) % 0.88/1.03 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H51 zenon_H198 zenon_H5a zenon_H59 zenon_H58 zenon_Haf zenon_H114 zenon_H115 zenon_H11d zenon_H14 zenon_H15 zenon_H232 zenon_H18f zenon_H190 zenon_H191. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.03 apply (zenon_L26_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.03 apply (zenon_L400_); trivial. % 0.88/1.03 apply (zenon_L116_); trivial. % 0.88/1.03 (* end of lemma zenon_L401_ *) % 0.88/1.03 assert (zenon_L402_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1f zenon_H56 zenon_H198 zenon_H191 zenon_H190 zenon_H18f zenon_Haf zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H5a zenon_H59 zenon_H58 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.03 apply (zenon_L307_); trivial. % 0.88/1.03 apply (zenon_L401_); trivial. % 0.88/1.03 (* end of lemma zenon_L402_ *) % 0.88/1.03 assert (zenon_L403_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H69 zenon_H24 zenon_H56 zenon_H198 zenon_H191 zenon_H190 zenon_H18f zenon_Haf zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_He6 zenon_H1df zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.03 apply (zenon_L84_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.03 apply (zenon_L275_); trivial. % 0.88/1.03 apply (zenon_L402_); trivial. % 0.88/1.03 (* end of lemma zenon_L403_ *) % 0.88/1.03 assert (zenon_L404_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hcc zenon_H198 zenon_H5a zenon_H59 zenon_H58 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H232 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_H18f zenon_H190 zenon_H191. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.03 apply (zenon_L26_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.03 apply (zenon_L394_); trivial. % 0.88/1.03 apply (zenon_L116_); trivial. % 0.88/1.03 (* end of lemma zenon_L404_ *) % 0.88/1.03 assert (zenon_L405_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H63 zenon_Hdb zenon_H198 zenon_H191 zenon_H190 zenon_H18f zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.03 apply (zenon_L53_); trivial. % 0.88/1.03 apply (zenon_L404_); trivial. % 0.88/1.03 (* end of lemma zenon_L405_ *) % 0.88/1.03 assert (zenon_L406_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H23e zenon_H112 zenon_Hdb zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_Hb5 zenon_Hc8 zenon_H43 zenon_H3f zenon_Hbf zenon_Hbe zenon_Hbd zenon_H1df zenon_H270 zenon_H5 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H198 zenon_H56 zenon_H24 zenon_H69 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H1d zenon_H275. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.03 apply (zenon_L336_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.03 apply (zenon_L403_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.03 apply (zenon_L84_); trivial. % 0.88/1.03 apply (zenon_L405_); trivial. % 0.88/1.03 (* end of lemma zenon_L406_ *) % 0.88/1.03 assert (zenon_L407_ : ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a675))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp20)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H29d zenon_H9c zenon_H90 zenon_H7d zenon_H91 zenon_H12 zenon_H13f zenon_He6. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H29e ]. % 0.88/1.03 apply (zenon_L161_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H140 | zenon_intro zenon_He7 ]. % 0.88/1.03 exact (zenon_H13f zenon_H140). % 0.88/1.03 exact (zenon_He6 zenon_He7). % 0.88/1.03 (* end of lemma zenon_L407_ *) % 0.88/1.03 assert (zenon_L408_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp20)) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hb7 zenon_He6 zenon_H13f zenon_H29d zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_Hb5. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.03 apply (zenon_L407_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.03 apply (zenon_L47_); trivial. % 0.88/1.03 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.03 (* end of lemma zenon_L408_ *) % 0.88/1.03 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hcc zenon_Hb7 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H232 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.03 apply (zenon_L394_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.03 apply (zenon_L47_); trivial. % 0.88/1.03 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.03 (* end of lemma zenon_L409_ *) % 0.88/1.03 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H109 zenon_Hdb zenon_Hb7 zenon_H9c zenon_H91 zenon_H90 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.03 apply (zenon_L53_); trivial. % 0.88/1.03 apply (zenon_L409_); trivial. % 0.88/1.03 (* end of lemma zenon_L410_ *) % 0.88/1.03 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hba zenon_H112 zenon_Hdb zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hc8 zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.03 apply (zenon_L408_); trivial. % 0.88/1.03 apply (zenon_L410_); trivial. % 0.88/1.03 (* end of lemma zenon_L411_ *) % 0.88/1.03 assert (zenon_L412_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (ndr1_0) -> (~(c2_1 (a660))) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20)))))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hdc zenon_H12 zenon_H186 zenon_H25 zenon_H185 zenon_H187. % 0.88/1.03 generalize (zenon_Hdc (a660)). zenon_intro zenon_H29f. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H29f); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a0 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H18d | zenon_intro zenon_H2a1 ]. % 0.88/1.03 exact (zenon_H186 zenon_H18d). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H2a2 | zenon_intro zenon_H18c ]. % 0.88/1.03 generalize (zenon_H25 (a660)). zenon_intro zenon_H2a3. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a4 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H18b | zenon_intro zenon_H2a5 ]. % 0.88/1.03 exact (zenon_H185 zenon_H18b). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H18d | zenon_intro zenon_H2a6 ]. % 0.88/1.03 exact (zenon_H186 zenon_H18d). % 0.88/1.03 exact (zenon_H2a6 zenon_H2a2). % 0.88/1.03 exact (zenon_H18c zenon_H187). % 0.88/1.03 (* end of lemma zenon_L412_ *) % 0.88/1.03 assert (zenon_L413_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a675))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20)))))) -> (~(c2_1 (a660))) -> (ndr1_0) -> False). % 0.88/1.03 do 0 intro. intros zenon_H10e zenon_H9c zenon_H90 zenon_H7d zenon_H91 zenon_H187 zenon_H185 zenon_H25 zenon_H186 zenon_H12. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.88/1.03 apply (zenon_L412_); trivial. % 0.88/1.03 apply (zenon_L161_); trivial. % 0.88/1.03 (* end of lemma zenon_L413_ *) % 0.88/1.03 assert (zenon_L414_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp16)) -> (~(hskp28)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hb7 zenon_H31 zenon_H2f zenon_H10e zenon_H187 zenon_H185 zenon_H186 zenon_H33 zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_Hb5. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H25 | zenon_intro zenon_H34 ]. % 0.88/1.03 apply (zenon_L413_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H30 | zenon_intro zenon_H32 ]. % 0.88/1.03 exact (zenon_H2f zenon_H30). % 0.88/1.03 exact (zenon_H31 zenon_H32). % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.03 apply (zenon_L47_); trivial. % 0.88/1.03 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.03 (* end of lemma zenon_L414_ *) % 0.88/1.03 assert (zenon_L415_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H173 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.03 apply (zenon_L393_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.03 apply (zenon_L319_); trivial. % 0.88/1.03 apply (zenon_L114_); trivial. % 0.88/1.03 (* end of lemma zenon_L415_ *) % 0.88/1.03 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H109 zenon_Hdb zenon_Hb7 zenon_H9c zenon_H91 zenon_H90 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H185 zenon_H186 zenon_H187 zenon_H173 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.03 apply (zenon_L53_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.03 apply (zenon_L415_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.03 apply (zenon_L47_); trivial. % 0.88/1.03 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.03 (* end of lemma zenon_L416_ *) % 0.88/1.03 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H19a zenon_H112 zenon_Hdb zenon_H173 zenon_Hc8 zenon_H43 zenon_H3f zenon_Hbf zenon_Hbe zenon_Hbd zenon_H1df zenon_Hb7 zenon_Hb5 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H187 zenon_H185 zenon_H186 zenon_H31 zenon_H33 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H198 zenon_H56 zenon_H24 zenon_H69. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.03 apply (zenon_L84_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.03 apply (zenon_L275_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.03 apply (zenon_L414_); trivial. % 0.88/1.03 apply (zenon_L401_); trivial. % 0.88/1.03 apply (zenon_L416_); trivial. % 0.88/1.03 (* end of lemma zenon_L417_ *) % 0.88/1.03 assert (zenon_L418_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (~(c2_1 (a672))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H135 zenon_H12 zenon_H18e zenon_H6e zenon_H70 zenon_H6f. % 0.88/1.03 generalize (zenon_H135 (a672)). zenon_intro zenon_H2a7. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H2a7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a8 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H73 ]. % 0.88/1.03 generalize (zenon_H18e (a672)). zenon_intro zenon_H2aa. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ab ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H74 | zenon_intro zenon_H2ac ]. % 0.88/1.03 exact (zenon_H6e zenon_H74). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2ad | zenon_intro zenon_H75 ]. % 0.88/1.03 exact (zenon_H2ad zenon_H2a9). % 0.88/1.03 exact (zenon_H75 zenon_H70). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.88/1.03 exact (zenon_H6f zenon_H76). % 0.88/1.03 exact (zenon_H75 zenon_H70). % 0.88/1.03 (* end of lemma zenon_L418_ *) % 0.88/1.03 assert (zenon_L419_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(c2_1 (a672))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H206 zenon_H6f zenon_H70 zenon_H6e zenon_H18e zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.03 apply (zenon_L418_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.03 apply (zenon_L182_); trivial. % 0.88/1.03 exact (zenon_H87 zenon_H88). % 0.88/1.03 (* end of lemma zenon_L419_ *) % 0.88/1.03 assert (zenon_L420_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c2_1 (a672))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H63 zenon_Hdb zenon_H198 zenon_H6e zenon_H70 zenon_H6f zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H185 zenon_H186 zenon_H187 zenon_H173 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.03 apply (zenon_L53_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.03 apply (zenon_L26_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.03 apply (zenon_L415_); trivial. % 0.88/1.04 apply (zenon_L419_); trivial. % 0.88/1.04 (* end of lemma zenon_L420_ *) % 0.88/1.04 assert (zenon_L421_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> False). % 0.88/1.04 do 0 intro. intros zenon_Haf zenon_H11d zenon_H115 zenon_H113 zenon_H114 zenon_H12 zenon_H91 zenon_H7d zenon_H90 zenon_H9c. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.04 apply (zenon_L69_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.04 apply (zenon_L44_); trivial. % 0.88/1.04 apply (zenon_L161_); trivial. % 0.88/1.04 (* end of lemma zenon_L421_ *) % 0.88/1.04 assert (zenon_L422_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H25c zenon_H9c zenon_H90 zenon_H91 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H12 zenon_H7d zenon_H14 zenon_H15 zenon_H16. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.88/1.04 apply (zenon_L366_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.88/1.04 apply (zenon_L421_); trivial. % 0.88/1.04 apply (zenon_L286_); trivial. % 0.88/1.04 (* end of lemma zenon_L422_ *) % 0.88/1.04 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(c2_1 (a672))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hba zenon_H112 zenon_Hdb zenon_Hb7 zenon_H232 zenon_Hb5 zenon_Hc8 zenon_H43 zenon_H3f zenon_Hbf zenon_Hbe zenon_Hbd zenon_H1df zenon_H25c zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H6f zenon_H70 zenon_H6e zenon_H198 zenon_H24 zenon_H69. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.04 apply (zenon_L84_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.04 apply (zenon_L26_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.04 apply (zenon_L422_); trivial. % 0.88/1.04 apply (zenon_L419_); trivial. % 0.88/1.04 apply (zenon_L410_); trivial. % 0.88/1.04 (* end of lemma zenon_L423_ *) % 0.88/1.04 assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H56 zenon_Hb7 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L53_); trivial. % 0.88/1.04 apply (zenon_L390_); trivial. % 0.88/1.04 (* end of lemma zenon_L424_ *) % 0.88/1.04 assert (zenon_L425_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24 zenon_Hdb zenon_H56 zenon_Hb7 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_Hb5 zenon_Hc8 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_L424_); trivial. % 0.88/1.04 (* end of lemma zenon_L425_ *) % 0.88/1.04 assert (zenon_L426_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H232 zenon_H15 zenon_H7d zenon_H14 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.04 apply (zenon_L366_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.04 apply (zenon_L386_); trivial. % 0.88/1.04 apply (zenon_L267_); trivial. % 0.88/1.04 (* end of lemma zenon_L426_ *) % 0.88/1.04 assert (zenon_L427_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1f zenon_Hb7 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H232 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.04 apply (zenon_L426_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.04 apply (zenon_L47_); trivial. % 0.88/1.04 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.04 (* end of lemma zenon_L427_ *) % 0.88/1.04 assert (zenon_L428_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24 zenon_Hb7 zenon_Hb5 zenon_H9c zenon_H91 zenon_H90 zenon_Haf zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_L427_); trivial. % 0.88/1.04 (* end of lemma zenon_L428_ *) % 0.88/1.04 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H10d zenon_Hb9 zenon_H24 zenon_Hdb zenon_H56 zenon_Hb7 zenon_Haf zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_Hb5 zenon_Hc8 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H1df zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H112. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L425_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L53_); trivial. % 0.88/1.04 apply (zenon_L396_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L428_); trivial. % 0.88/1.04 apply (zenon_L410_); trivial. % 0.88/1.04 (* end of lemma zenon_L429_ *) % 0.88/1.04 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24c zenon_H111 zenon_Hb9 zenon_H29d zenon_Hb7 zenon_H275 zenon_H1d zenon_H269 zenon_H268 zenon_H267 zenon_H69 zenon_H24 zenon_H56 zenon_H198 zenon_Haf zenon_H232 zenon_H270 zenon_H1df zenon_Hbd zenon_Hbe zenon_Hbf zenon_H43 zenon_Hc8 zenon_Hb5 zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hdb zenon_H112 zenon_H23e zenon_H173 zenon_H10e zenon_H33 zenon_H25c zenon_H79 zenon_H1a9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.04 apply (zenon_L406_); trivial. % 0.88/1.04 apply (zenon_L411_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.04 apply (zenon_L406_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.04 apply (zenon_L336_); trivial. % 0.88/1.04 apply (zenon_L417_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.04 apply (zenon_L336_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L403_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.04 apply (zenon_L84_); trivial. % 0.88/1.04 apply (zenon_L420_); trivial. % 0.88/1.04 apply (zenon_L423_); trivial. % 0.88/1.04 apply (zenon_L429_); trivial. % 0.88/1.04 (* end of lemma zenon_L430_ *) % 0.88/1.04 assert (zenon_L431_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp8)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (~(hskp5)) -> (~(hskp23)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1e8 zenon_Hc8 zenon_H4f zenon_H1fb zenon_H1fc zenon_H1fd zenon_H204 zenon_Hb5 zenon_Hc6. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_H35 | zenon_intro zenon_Hc9 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1fa | zenon_intro zenon_H205 ]. % 0.88/1.04 apply (zenon_L182_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_Hfa | zenon_intro zenon_H50 ]. % 0.88/1.04 apply (zenon_L137_); trivial. % 0.88/1.04 exact (zenon_H4f zenon_H50). % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc7 ]. % 0.88/1.04 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.04 exact (zenon_Hc6 zenon_Hc7). % 0.88/1.04 (* end of lemma zenon_L431_ *) % 0.88/1.04 assert (zenon_L432_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp23)) -> (~(hskp5)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a693))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1ed zenon_Hc8 zenon_Hc6 zenon_Hb5 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H204 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H52 zenon_H4f zenon_H14 zenon_H16 zenon_H15 zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H61 zenon_H1c9 zenon_H56. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L365_); trivial. % 0.88/1.04 apply (zenon_L431_); trivial. % 0.88/1.04 (* end of lemma zenon_L432_ *) % 0.88/1.04 assert (zenon_L433_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (~(hskp11)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H232 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_H3f zenon_H15 zenon_H16 zenon_H1c1 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H105 zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.04 apply (zenon_L276_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.04 apply (zenon_L362_); trivial. % 0.88/1.04 apply (zenon_L22_); trivial. % 0.88/1.04 (* end of lemma zenon_L433_ *) % 0.88/1.04 assert (zenon_L434_ : (~(hskp9)) -> (hskp9) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2ae zenon_H2af. % 0.88/1.04 exact (zenon_H2ae zenon_H2af). % 0.88/1.04 (* end of lemma zenon_L434_ *) % 0.88/1.04 assert (zenon_L435_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(c0_1 (a693))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (~(hskp11)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp9)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2b0 zenon_H14 zenon_H7d zenon_H48 zenon_H47 zenon_H46 zenon_H12 zenon_H105 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1c1 zenon_H16 zenon_H15 zenon_H3f zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H232 zenon_H2ae. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2b1 ]. % 0.88/1.04 apply (zenon_L368_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H2af ]. % 0.88/1.04 apply (zenon_L433_); trivial. % 0.88/1.04 exact (zenon_H2ae zenon_H2af). % 0.88/1.04 (* end of lemma zenon_L435_ *) % 0.88/1.04 assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (~(hskp11)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(c0_1 (a693))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H51 zenon_H1c9 zenon_Hb5 zenon_H232 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_H3f zenon_H15 zenon_H16 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H105 zenon_H2b0 zenon_H14 zenon_H2ae zenon_Hb7 zenon_H1c7 zenon_H61. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.04 apply (zenon_L435_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.04 apply (zenon_L433_); trivial. % 0.88/1.04 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.88/1.04 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.04 exact (zenon_H61 zenon_H62). % 0.88/1.04 (* end of lemma zenon_L436_ *) % 0.88/1.04 assert (zenon_L437_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> (~(hskp11)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (ndr1_0) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1e9 zenon_H48 zenon_H47 zenon_H46 zenon_H105 zenon_H16 zenon_H15 zenon_H3f zenon_Hb1 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H232 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H12 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.04 apply (zenon_L276_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.04 apply (zenon_L367_); trivial. % 0.88/1.04 apply (zenon_L22_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.88/1.04 apply (zenon_L139_); trivial. % 0.88/1.04 apply (zenon_L140_); trivial. % 0.88/1.04 (* end of lemma zenon_L437_ *) % 0.88/1.04 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a693))) -> (c3_1 (a640)) -> (c1_1 (a640)) -> (c0_1 (a640)) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (~(hskp11)) -> (c2_1 (a693)) -> (c3_1 (a693)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp5)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_H14 zenon_H1d2 zenon_H1d1 zenon_H1d3 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H232 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_H3f zenon_H15 zenon_H16 zenon_H105 zenon_H1e9 zenon_Hb5. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.04 apply (zenon_L369_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.04 apply (zenon_L437_); trivial. % 0.88/1.04 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.04 (* end of lemma zenon_L438_ *) % 0.88/1.04 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1e8 zenon_H56 zenon_Hb7 zenon_Hb5 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.04 apply (zenon_L307_); trivial. % 0.88/1.04 apply (zenon_L438_); trivial. % 0.88/1.04 (* end of lemma zenon_L439_ *) % 0.88/1.04 assert (zenon_L440_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hcc zenon_H1ed zenon_H1e9 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_Hb7 zenon_Hb5 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H56. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.04 apply (zenon_L307_); trivial. % 0.88/1.04 apply (zenon_L436_); trivial. % 0.88/1.04 apply (zenon_L439_); trivial. % 0.88/1.04 (* end of lemma zenon_L440_ *) % 0.88/1.04 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H1e9 zenon_Hb7 zenon_H2ae zenon_H2b0 zenon_H56 zenon_H1c9 zenon_H61 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H4f zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_Hc8 zenon_H1ed. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L432_); trivial. % 0.88/1.04 apply (zenon_L440_); trivial. % 0.88/1.04 (* end of lemma zenon_L441_ *) % 0.88/1.04 assert (zenon_L442_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24 zenon_Hdb zenon_Hb7 zenon_H2ae zenon_H2b0 zenon_H56 zenon_H232 zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_Hc8 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_He6 zenon_H1df zenon_H1e9 zenon_H1ed. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L142_); trivial. % 0.88/1.04 apply (zenon_L441_); trivial. % 0.88/1.04 (* end of lemma zenon_L442_ *) % 0.88/1.04 assert (zenon_L443_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24 zenon_Hdb zenon_H1e9 zenon_Hb7 zenon_H2ae zenon_H2b0 zenon_H1c9 zenon_H61 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_Hc8 zenon_H1ed zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H1df zenon_He6 zenon_H4f zenon_H52 zenon_H56. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L158_); trivial. % 0.88/1.04 apply (zenon_L441_); trivial. % 0.88/1.04 (* end of lemma zenon_L443_ *) % 0.88/1.04 assert (zenon_L444_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H6c zenon_H31 zenon_H33 zenon_H24 zenon_Hdb zenon_Hb7 zenon_H2ae zenon_H2b0 zenon_H56 zenon_H232 zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_Hc8 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_H1ca zenon_H105 zenon_H3f zenon_H1df zenon_H1e9 zenon_H1ed zenon_H206 zenon_H87 zenon_H10e zenon_H210 zenon_H112. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L442_); trivial. % 0.88/1.04 apply (zenon_L302_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L443_); trivial. % 0.88/1.04 apply (zenon_L302_); trivial. % 0.88/1.04 (* end of lemma zenon_L444_ *) % 0.88/1.04 assert (zenon_L445_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp9)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H109 zenon_H2b0 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H206 zenon_H9c zenon_H91 zenon_H90 zenon_H2ae. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2b1 ]. % 0.88/1.04 apply (zenon_L295_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H2af ]. % 0.88/1.04 apply (zenon_L47_); trivial. % 0.88/1.04 exact (zenon_H2ae zenon_H2af). % 0.88/1.04 (* end of lemma zenon_L445_ *) % 0.88/1.04 assert (zenon_L446_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hba zenon_H112 zenon_H2b0 zenon_H2ae zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L408_); trivial. % 0.88/1.04 apply (zenon_L445_); trivial. % 0.88/1.04 (* end of lemma zenon_L446_ *) % 0.88/1.04 assert (zenon_L447_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H79 zenon_H1f8 zenon_H10a zenon_H6c zenon_H33 zenon_H24 zenon_Hdb zenon_Hb7 zenon_H2ae zenon_H2b0 zenon_H56 zenon_H232 zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_Hc8 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_H1ca zenon_H105 zenon_H3f zenon_H1df zenon_H1e9 zenon_H1ed zenon_H206 zenon_H87 zenon_H10e zenon_H210 zenon_H112 zenon_H13f zenon_H29d zenon_Hb9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.04 apply (zenon_L444_); trivial. % 0.88/1.04 apply (zenon_L446_); trivial. % 0.88/1.04 apply (zenon_L195_); trivial. % 0.88/1.04 (* end of lemma zenon_L447_ *) % 0.88/1.04 assert (zenon_L448_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp23)) -> (~(hskp5)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1ed zenon_Hc8 zenon_Hc6 zenon_Hb5 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H204 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L135_); trivial. % 0.88/1.04 apply (zenon_L431_); trivial. % 0.88/1.04 (* end of lemma zenon_L448_ *) % 0.88/1.04 assert (zenon_L449_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1e8 zenon_H56 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H1e9 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H91 zenon_H90 zenon_H9c zenon_H10e zenon_Hb5 zenon_Hb7. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.04 apply (zenon_L414_); trivial. % 0.88/1.04 apply (zenon_L438_); trivial. % 0.88/1.04 (* end of lemma zenon_L449_ *) % 0.88/1.04 assert (zenon_L450_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hcc zenon_H1ed zenon_H1e9 zenon_Hb7 zenon_Hb5 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H187 zenon_H185 zenon_H186 zenon_H31 zenon_H33 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H56. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.04 apply (zenon_L414_); trivial. % 0.88/1.04 apply (zenon_L436_); trivial. % 0.88/1.04 apply (zenon_L449_); trivial. % 0.88/1.04 (* end of lemma zenon_L450_ *) % 0.88/1.04 assert (zenon_L451_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H112 zenon_H87 zenon_H206 zenon_H1ed zenon_H1e9 zenon_H1df zenon_H3f zenon_H105 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_Hc8 zenon_Hb5 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H204 zenon_H56 zenon_H2b0 zenon_H2ae zenon_H232 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H91 zenon_H90 zenon_H9c zenon_H10e zenon_Hb7 zenon_Hdb zenon_H24. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L142_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L448_); trivial. % 0.88/1.04 apply (zenon_L450_); trivial. % 0.88/1.04 apply (zenon_L445_); trivial. % 0.88/1.04 (* end of lemma zenon_L451_ *) % 0.88/1.04 assert (zenon_L452_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp23)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H56 zenon_H52 zenon_H4f zenon_Hb5 zenon_Hc6 zenon_Hc8 zenon_H12 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.04 apply (zenon_L17_); trivial. % 0.88/1.04 apply (zenon_L308_); trivial. % 0.88/1.04 (* end of lemma zenon_L452_ *) % 0.88/1.04 assert (zenon_L453_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hba zenon_H6c zenon_H52 zenon_H24 zenon_Hdb zenon_Hb7 zenon_H10e zenon_H187 zenon_H185 zenon_H186 zenon_H31 zenon_H33 zenon_H232 zenon_H2ae zenon_H2b0 zenon_H56 zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_Hb5 zenon_Hc8 zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_H1ca zenon_H105 zenon_H3f zenon_H1df zenon_H1e9 zenon_H1ed zenon_H206 zenon_H87 zenon_H112. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.04 apply (zenon_L451_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L158_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L452_); trivial. % 0.88/1.04 apply (zenon_L450_); trivial. % 0.88/1.04 apply (zenon_L445_); trivial. % 0.88/1.04 (* end of lemma zenon_L453_ *) % 0.88/1.04 assert (zenon_L454_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1c9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H12 zenon_H1c7 zenon_H61. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.88/1.04 generalize (zenon_H1c1 (a654)). zenon_intro zenon_H2b5. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b6 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 0.88/1.04 exact (zenon_H2b4 zenon_H2b8). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2b9 ]. % 0.88/1.04 exact (zenon_H2b3 zenon_H2ba). % 0.88/1.04 exact (zenon_H2b2 zenon_H2b9). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.88/1.04 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.04 exact (zenon_H61 zenon_H62). % 0.88/1.04 (* end of lemma zenon_L454_ *) % 0.88/1.04 assert (zenon_L455_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp22)) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H1df zenon_Hb zenon_He6 zenon_H3f zenon_H105 zenon_H12 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L141_); trivial. % 0.88/1.04 (* end of lemma zenon_L455_ *) % 0.88/1.04 assert (zenon_L456_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp23)) -> (~(hskp5)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1ed zenon_Hc8 zenon_Hc6 zenon_Hb5 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H4f zenon_H204 zenon_H12 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L431_); trivial. % 0.88/1.04 (* end of lemma zenon_L456_ *) % 0.88/1.04 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hcc zenon_H1ed zenon_H56 zenon_Hb7 zenon_Hb5 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L439_); trivial. % 0.88/1.04 (* end of lemma zenon_L457_ *) % 0.88/1.04 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L296_); trivial. % 0.88/1.04 (* end of lemma zenon_L458_ *) % 0.88/1.04 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hba zenon_H69 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H105 zenon_H3f zenon_H43 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L166_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L167_); trivial. % 0.88/1.04 (* end of lemma zenon_L459_ *) % 0.88/1.04 assert (zenon_L460_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H10d zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H10e zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L454_); trivial. % 0.88/1.04 apply (zenon_L173_); trivial. % 0.88/1.04 (* end of lemma zenon_L460_ *) % 0.88/1.04 assert (zenon_L461_ : ((ndr1_0)/\((~(c0_1 (a654)))/\((~(c1_1 (a654)))/\(~(c2_1 (a654)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2bb zenon_H111 zenon_H112 zenon_H10e zenon_H87 zenon_H206 zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H1df zenon_H105 zenon_H61 zenon_H1c9 zenon_Hc8 zenon_Hb5 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H4f zenon_H204 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb7 zenon_H56 zenon_Hdb zenon_H24 zenon_H198 zenon_H43 zenon_H69 zenon_Hb9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L455_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L456_); trivial. % 0.88/1.04 apply (zenon_L457_); trivial. % 0.88/1.04 apply (zenon_L458_); trivial. % 0.88/1.04 apply (zenon_L459_); trivial. % 0.88/1.04 apply (zenon_L460_); trivial. % 0.88/1.04 (* end of lemma zenon_L461_ *) % 0.88/1.04 assert (zenon_L462_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H1ed zenon_H1e9 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H56 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L53_); trivial. % 0.88/1.04 apply (zenon_L440_); trivial. % 0.88/1.04 (* end of lemma zenon_L462_ *) % 0.88/1.04 assert (zenon_L463_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24 zenon_Hdb zenon_H1ed zenon_H1e9 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H56 zenon_Hb5 zenon_Hc8 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_L462_); trivial. % 0.88/1.04 (* end of lemma zenon_L463_ *) % 0.88/1.04 assert (zenon_L464_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (c0_1 (a652)) -> (c1_1 (a652)) -> (c3_1 (a652)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1e4 zenon_H12 zenon_Hbe zenon_H2be zenon_Hbf. % 0.88/1.04 generalize (zenon_H1e4 (a652)). zenon_intro zenon_H2bf. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H2bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c0 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H2c1 ]. % 0.88/1.04 exact (zenon_Hc5 zenon_Hbe). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c2 | zenon_intro zenon_Hc4 ]. % 0.88/1.04 exact (zenon_H2c2 zenon_H2be). % 0.88/1.04 exact (zenon_Hc4 zenon_Hbf). % 0.88/1.04 (* end of lemma zenon_L464_ *) % 0.88/1.04 assert (zenon_L465_ : (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H16f zenon_H12 zenon_H1e4 zenon_Hbe zenon_Hbf zenon_Hbd. % 0.88/1.04 generalize (zenon_H16f (a652)). zenon_intro zenon_H2c3. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c4 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2be | zenon_intro zenon_H2c5 ]. % 0.88/1.04 apply (zenon_L464_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc5 ]. % 0.88/1.04 exact (zenon_Hbd zenon_Hc3). % 0.88/1.04 exact (zenon_Hc5 zenon_Hbe). % 0.88/1.04 (* end of lemma zenon_L465_ *) % 0.88/1.04 assert (zenon_L466_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H173 zenon_H1c1 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_H12 zenon_H1e4 zenon_Hbe zenon_Hbf zenon_Hbd. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.04 apply (zenon_L241_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.04 apply (zenon_L276_); trivial. % 0.88/1.04 apply (zenon_L465_); trivial. % 0.88/1.04 (* end of lemma zenon_L466_ *) % 0.88/1.04 assert (zenon_L467_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (ndr1_0) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp26)) -> (~(hskp0)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1c9 zenon_H2ae zenon_H173 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_H12 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H206 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H87 zenon_H2b0 zenon_H1e9 zenon_H1c7 zenon_H61. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.88/1.04 apply (zenon_L295_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.88/1.04 apply (zenon_L139_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2b1 ]. % 0.88/1.04 apply (zenon_L295_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H2af ]. % 0.88/1.04 apply (zenon_L466_); trivial. % 0.88/1.04 exact (zenon_H2ae zenon_H2af). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.88/1.04 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.04 exact (zenon_H61 zenon_H62). % 0.88/1.04 (* end of lemma zenon_L467_ *) % 0.88/1.04 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H109 zenon_Hdb zenon_H1ed zenon_H1e9 zenon_H173 zenon_H2ae zenon_H2b0 zenon_H1c2 zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H61 zenon_H1c9 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L53_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.04 apply (zenon_L467_); trivial. % 0.88/1.04 apply (zenon_L296_); trivial. % 0.88/1.04 (* end of lemma zenon_L468_ *) % 0.88/1.04 assert (zenon_L469_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H112 zenon_H173 zenon_H10e zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_Hc8 zenon_Hb5 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b0 zenon_H2ae zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H1e9 zenon_H1ed zenon_Hdb zenon_H24. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.04 apply (zenon_L463_); trivial. % 0.88/1.04 apply (zenon_L468_); trivial. % 0.88/1.04 (* end of lemma zenon_L469_ *) % 0.88/1.04 assert (zenon_L470_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H24 zenon_Hdb zenon_H1ed zenon_H1e9 zenon_Hb7 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H187 zenon_H185 zenon_H186 zenon_H31 zenon_H33 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H56 zenon_Hb5 zenon_Hc8 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.04 apply (zenon_L53_); trivial. % 0.88/1.04 apply (zenon_L450_); trivial. % 0.88/1.04 (* end of lemma zenon_L470_ *) % 0.88/1.04 assert (zenon_L471_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H111 zenon_Hb9 zenon_H29d zenon_H24 zenon_Hdb zenon_H1ed zenon_H1e9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H105 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H56 zenon_Hb5 zenon_Hc8 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H1df zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H10e zenon_H173 zenon_H112 zenon_H33 zenon_H10a zenon_H1f8 zenon_H79 zenon_H1a9. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L469_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.05 apply (zenon_L408_); trivial. % 0.88/1.05 apply (zenon_L468_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L469_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.05 apply (zenon_L470_); trivial. % 0.88/1.05 apply (zenon_L468_); trivial. % 0.88/1.05 apply (zenon_L195_); trivial. % 0.88/1.05 apply (zenon_L174_); trivial. % 0.88/1.05 (* end of lemma zenon_L471_ *) % 0.88/1.05 assert (zenon_L472_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H1ed zenon_H56 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.05 apply (zenon_L53_); trivial. % 0.88/1.05 apply (zenon_L457_); trivial. % 0.88/1.05 (* end of lemma zenon_L472_ *) % 0.88/1.05 assert (zenon_L473_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H24 zenon_Hdb zenon_H1ed zenon_H56 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_Hb5 zenon_Hc8 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.05 apply (zenon_L275_); trivial. % 0.88/1.05 apply (zenon_L472_); trivial. % 0.88/1.05 (* end of lemma zenon_L473_ *) % 0.88/1.05 assert (zenon_L474_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H112 zenon_H10e zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_Hc8 zenon_Hb5 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H56 zenon_H1ed zenon_Hdb zenon_H24. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.05 apply (zenon_L473_); trivial. % 0.88/1.05 apply (zenon_L458_); trivial. % 0.88/1.05 (* end of lemma zenon_L474_ *) % 0.88/1.05 assert (zenon_L475_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hb9 zenon_H69 zenon_H43 zenon_H198 zenon_H24 zenon_Hdb zenon_H1ed zenon_H56 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_Hb5 zenon_Hc8 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H1df zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H10e zenon_H112. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L474_); trivial. % 0.88/1.05 apply (zenon_L459_); trivial. % 0.88/1.05 (* end of lemma zenon_L475_ *) % 0.88/1.05 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a654)))/\((~(c1_1 (a654)))/\(~(c2_1 (a654))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H130 zenon_H2c6 zenon_H198 zenon_H43 zenon_H69 zenon_H1a9 zenon_H79 zenon_H1f8 zenon_H10a zenon_H33 zenon_H112 zenon_H173 zenon_H10e zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H1df zenon_Hc8 zenon_Hb5 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b0 zenon_H1c2 zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H1e9 zenon_H1ed zenon_Hdb zenon_H24 zenon_H29d zenon_Hb9 zenon_H111. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.88/1.05 apply (zenon_L471_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.05 apply (zenon_L475_); trivial. % 0.88/1.05 apply (zenon_L174_); trivial. % 0.88/1.05 (* end of lemma zenon_L476_ *) % 0.88/1.05 assert (zenon_L477_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H8b zenon_Hb9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_Hb5 zenon_Hb7 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.05 apply (zenon_L307_); trivial. % 0.88/1.05 apply (zenon_L203_); trivial. % 0.88/1.05 apply (zenon_L76_); trivial. % 0.88/1.05 (* end of lemma zenon_L477_ *) % 0.88/1.05 assert (zenon_L478_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H8e zenon_Hb9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb5 zenon_Hb7 zenon_H56 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H12 zenon_H13f zenon_H141 zenon_H143. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.88/1.05 apply (zenon_L199_); trivial. % 0.88/1.05 apply (zenon_L477_); trivial. % 0.88/1.05 (* end of lemma zenon_L478_ *) % 0.88/1.05 assert (zenon_L479_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(c1_1 (a642))) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp21)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H43 zenon_H268 zenon_H269 zenon_H267 zenon_H113 zenon_H12 zenon_H3f zenon_H41. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H35 | zenon_intro zenon_H44 ]. % 0.88/1.05 generalize (zenon_H35 (a642)). zenon_intro zenon_H2c7. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c8 ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H26c ]. % 0.88/1.05 generalize (zenon_H113 (a642)). zenon_intro zenon_H2ca. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cb ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H26d | zenon_intro zenon_H2cc ]. % 0.88/1.05 exact (zenon_H267 zenon_H26d). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2cd | zenon_intro zenon_H26e ]. % 0.88/1.05 exact (zenon_H2cd zenon_H2c9). % 0.88/1.05 exact (zenon_H26e zenon_H269). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26f | zenon_intro zenon_H26e ]. % 0.88/1.05 exact (zenon_H26f zenon_H268). % 0.88/1.05 exact (zenon_H26e zenon_H269). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.88/1.05 exact (zenon_H3f zenon_H40). % 0.88/1.05 exact (zenon_H41 zenon_H42). % 0.88/1.05 (* end of lemma zenon_L479_ *) % 0.88/1.05 assert (zenon_L480_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (c0_1 (a655)) -> (c2_1 (a655)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Ha1 zenon_H12 zenon_H45 zenon_H15c zenon_H15d. % 0.88/1.05 generalize (zenon_Ha1 (a655)). zenon_intro zenon_H163. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H163); [ zenon_intro zenon_H11 | zenon_intro zenon_H164 ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ]. % 0.88/1.05 generalize (zenon_H45 (a655)). zenon_intro zenon_H2ce. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cf ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H168 | zenon_intro zenon_H2d0 ]. % 0.88/1.05 exact (zenon_H168 zenon_H15c). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H162 | zenon_intro zenon_H167 ]. % 0.88/1.05 exact (zenon_H162 zenon_H166). % 0.88/1.05 exact (zenon_H167 zenon_H15d). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.88/1.05 exact (zenon_H168 zenon_H15c). % 0.88/1.05 exact (zenon_H167 zenon_H15d). % 0.88/1.05 (* end of lemma zenon_L480_ *) % 0.88/1.05 assert (zenon_L481_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hdc zenon_H12 zenon_Ha5 zenon_H154 zenon_H155. % 0.88/1.05 generalize (zenon_Hdc (a661)). zenon_intro zenon_H2d1. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2d1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d2 ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H16a | zenon_intro zenon_H158 ]. % 0.88/1.05 apply (zenon_L104_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ]. % 0.88/1.05 exact (zenon_H154 zenon_H15b). % 0.88/1.05 exact (zenon_H15a zenon_H155). % 0.88/1.05 (* end of lemma zenon_L481_ *) % 0.88/1.05 assert (zenon_L482_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (c3_1 (a688)) -> (c2_1 (a688)) -> (c1_1 (a688)) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H105 zenon_H155 zenon_H154 zenon_Ha5 zenon_Hfd zenon_Hfc zenon_Hfb zenon_H12 zenon_H3f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.88/1.05 apply (zenon_L481_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.88/1.05 apply (zenon_L63_); trivial. % 0.88/1.05 exact (zenon_H3f zenon_H40). % 0.88/1.05 (* end of lemma zenon_L482_ *) % 0.88/1.05 assert (zenon_L483_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp11)) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (~(hskp7)) -> (~(c1_1 (a661))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H104 zenon_Hcd zenon_H3f zenon_H154 zenon_H155 zenon_H105 zenon_H253 zenon_H9c zenon_H91 zenon_H90 zenon_H15d zenon_H15c zenon_H181 zenon_H153 zenon_Haf zenon_H87 zenon_Hca. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.05 apply (zenon_L102_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8f | zenon_intro zenon_H254 ]. % 0.88/1.05 apply (zenon_L87_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H45 | zenon_intro zenon_H182 ]. % 0.88/1.05 apply (zenon_L480_); trivial. % 0.88/1.05 exact (zenon_H181 zenon_H182). % 0.88/1.05 apply (zenon_L482_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.88/1.05 exact (zenon_H87 zenon_H88). % 0.88/1.05 exact (zenon_Hca zenon_Hcb). % 0.88/1.05 (* end of lemma zenon_L483_ *) % 0.88/1.05 assert (zenon_L484_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H17a zenon_H10a zenon_Hcd zenon_Hca zenon_H87 zenon_H153 zenon_H154 zenon_H155 zenon_H253 zenon_H181 zenon_H9c zenon_H91 zenon_H90 zenon_H105 zenon_H3f zenon_Haf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Hea zenon_Hee. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.88/1.05 apply (zenon_L62_); trivial. % 0.88/1.05 apply (zenon_L483_); trivial. % 0.88/1.05 (* end of lemma zenon_L484_ *) % 0.88/1.05 assert (zenon_L485_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H63 zenon_H2d3 zenon_Hca zenon_H1d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H57 | zenon_intro zenon_H2d4 ]. % 0.88/1.05 apply (zenon_L26_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Hcb | zenon_intro zenon_H1e ]. % 0.88/1.05 exact (zenon_Hca zenon_Hcb). % 0.88/1.05 exact (zenon_H1d zenon_H1e). % 0.88/1.05 (* end of lemma zenon_L485_ *) % 0.88/1.05 assert (zenon_L486_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c1_1 (a642))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(c0_1 (a643))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(hskp14)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H109 zenon_H69 zenon_H2d3 zenon_H149 zenon_H267 zenon_H269 zenon_H268 zenon_H3f zenon_H43 zenon_H219 zenon_H21a zenon_H21b zenon_H3 zenon_H1d zenon_H20 zenon_Hee zenon_Hea zenon_Haf zenon_H105 zenon_H90 zenon_H91 zenon_H9c zenon_H181 zenon_H253 zenon_H155 zenon_H154 zenon_H153 zenon_H87 zenon_Hca zenon_Hcd zenon_H10a zenon_H176. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.05 apply (zenon_L198_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.05 apply (zenon_L479_); trivial. % 0.88/1.05 exact (zenon_H147 zenon_H148). % 0.88/1.05 apply (zenon_L484_); trivial. % 0.88/1.05 apply (zenon_L485_); trivial. % 0.88/1.05 (* end of lemma zenon_L486_ *) % 0.88/1.05 assert (zenon_L487_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1a6 zenon_H8e zenon_Hb9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb5 zenon_Hb7 zenon_H56 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H173. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.88/1.05 apply (zenon_L215_); trivial. % 0.88/1.05 apply (zenon_L477_); trivial. % 0.88/1.05 (* end of lemma zenon_L487_ *) % 0.88/1.05 assert (zenon_L488_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hba zenon_Hb7 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_Hb5. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.05 apply (zenon_L332_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.05 apply (zenon_L47_); trivial. % 0.88/1.05 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.05 (* end of lemma zenon_L488_ *) % 0.88/1.05 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H175 zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Haf zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H181 zenon_H253 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L331_); trivial. % 0.88/1.05 apply (zenon_L488_); trivial. % 0.88/1.05 (* end of lemma zenon_L489_ *) % 0.88/1.05 assert (zenon_L490_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H10d zenon_H1a9 zenon_H173 zenon_H8e zenon_Hb9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb5 zenon_Hb7 zenon_H56 zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H143 zenon_H253 zenon_H181 zenon_Haf zenon_H17e. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.05 apply (zenon_L478_); trivial. % 0.88/1.05 apply (zenon_L489_); trivial. % 0.88/1.05 apply (zenon_L487_); trivial. % 0.88/1.05 (* end of lemma zenon_L490_ *) % 0.88/1.05 assert (zenon_L491_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H175 zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H181 zenon_H253 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L331_); trivial. % 0.88/1.05 apply (zenon_L261_); trivial. % 0.88/1.05 (* end of lemma zenon_L491_ *) % 0.88/1.05 assert (zenon_L492_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hb9 zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_Hea zenon_Hee zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L344_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.05 apply (zenon_L408_); trivial. % 0.88/1.05 apply (zenon_L359_); trivial. % 0.88/1.05 (* end of lemma zenon_L492_ *) % 0.88/1.05 assert (zenon_L493_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a675))) -> (ndr1_0) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hcd zenon_H9c zenon_H90 zenon_H7d zenon_H91 zenon_H12 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H87 zenon_Hca. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.05 apply (zenon_L87_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.05 apply (zenon_L71_); trivial. % 0.88/1.05 apply (zenon_L161_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.88/1.05 exact (zenon_H87 zenon_H88). % 0.88/1.05 exact (zenon_Hca zenon_Hcb). % 0.88/1.05 (* end of lemma zenon_L493_ *) % 0.88/1.05 assert (zenon_L494_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hba zenon_Hb7 zenon_Hca zenon_H87 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Hcd zenon_Hb5. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.05 apply (zenon_L493_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.05 apply (zenon_L47_); trivial. % 0.88/1.05 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.05 (* end of lemma zenon_L494_ *) % 0.88/1.05 assert (zenon_L495_ : ((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H24c zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_Haf zenon_H87 zenon_Hca zenon_Hcd zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L344_); trivial. % 0.88/1.05 apply (zenon_L494_); trivial. % 0.88/1.05 (* end of lemma zenon_L495_ *) % 0.88/1.05 assert (zenon_L496_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H69 zenon_H2d3 zenon_H1d zenon_Hca zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.05 apply (zenon_L84_); trivial. % 0.88/1.05 apply (zenon_L485_); trivial. % 0.88/1.05 (* end of lemma zenon_L496_ *) % 0.88/1.05 assert (zenon_L497_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H19f zenon_H19d zenon_H277 zenon_H19e zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.05 apply (zenon_L319_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.05 apply (zenon_L345_); trivial. % 0.88/1.05 apply (zenon_L22_); trivial. % 0.88/1.05 (* end of lemma zenon_L497_ *) % 0.88/1.05 assert (zenon_L498_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H280 zenon_H48 zenon_H47 zenon_H46 zenon_H19e zenon_H19d zenon_H19f zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H232 zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Hea. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.88/1.05 apply (zenon_L497_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.88/1.05 apply (zenon_L116_); trivial. % 0.88/1.05 exact (zenon_Hea zenon_Heb). % 0.88/1.05 (* end of lemma zenon_L498_ *) % 0.88/1.05 assert (zenon_L499_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H232 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_H19f zenon_H19d zenon_H277 zenon_H19e zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.05 apply (zenon_L276_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.05 apply (zenon_L345_); trivial. % 0.88/1.05 apply (zenon_L22_); trivial. % 0.88/1.05 (* end of lemma zenon_L499_ *) % 0.88/1.05 assert (zenon_L500_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H280 zenon_H48 zenon_H47 zenon_H46 zenon_H19e zenon_H19d zenon_H19f zenon_Hb1 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H232 zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Hea. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.88/1.05 apply (zenon_L499_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.88/1.05 apply (zenon_L116_); trivial. % 0.88/1.05 exact (zenon_Hea zenon_Heb). % 0.88/1.05 (* end of lemma zenon_L500_ *) % 0.88/1.05 assert (zenon_L501_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp10)) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_Hea zenon_H18f zenon_H190 zenon_H191 zenon_H232 zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_H19f zenon_H19d zenon_H19e zenon_H280 zenon_Hb5. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.05 apply (zenon_L498_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.05 apply (zenon_L500_); trivial. % 0.88/1.05 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.05 (* end of lemma zenon_L501_ *) % 0.88/1.05 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H19a zenon_Hdb zenon_H56 zenon_Hb7 zenon_H232 zenon_H19f zenon_H19d zenon_H19e zenon_Hea zenon_H280 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.05 apply (zenon_L53_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.05 apply (zenon_L307_); trivial. % 0.88/1.05 apply (zenon_L501_); trivial. % 0.88/1.05 (* end of lemma zenon_L502_ *) % 0.88/1.05 assert (zenon_L503_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H23e zenon_Hdb zenon_H56 zenon_Hb7 zenon_H232 zenon_H19f zenon_H19d zenon_H19e zenon_Hea zenon_H280 zenon_H5 zenon_H270 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H1d zenon_H275. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.05 apply (zenon_L336_); trivial. % 0.88/1.05 apply (zenon_L502_); trivial. % 0.88/1.05 (* end of lemma zenon_L503_ *) % 0.88/1.05 assert (zenon_L504_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H19f zenon_H19d zenon_H277 zenon_H19e zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.05 apply (zenon_L319_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.05 apply (zenon_L345_); trivial. % 0.88/1.05 apply (zenon_L244_); trivial. % 0.88/1.05 (* end of lemma zenon_L504_ *) % 0.88/1.05 assert (zenon_L505_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H149 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H232 zenon_H19f zenon_H19d zenon_H277 zenon_H19e zenon_H12 zenon_H147. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.05 apply (zenon_L504_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.05 apply (zenon_L345_); trivial. % 0.88/1.05 exact (zenon_H147 zenon_H148). % 0.88/1.05 (* end of lemma zenon_L505_ *) % 0.88/1.05 assert (zenon_L506_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp27)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H280 zenon_H147 zenon_H19e zenon_H19d zenon_H19f zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H149 zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Hea. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.88/1.05 apply (zenon_L505_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.88/1.05 apply (zenon_L116_); trivial. % 0.88/1.05 exact (zenon_Hea zenon_Heb). % 0.88/1.05 (* end of lemma zenon_L506_ *) % 0.88/1.05 assert (zenon_L507_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Haf zenon_H45 zenon_H15e zenon_H15d zenon_H15c zenon_Hfa zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.05 apply (zenon_L127_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.05 apply (zenon_L103_); trivial. % 0.88/1.05 apply (zenon_L45_); trivial. % 0.88/1.05 (* end of lemma zenon_L507_ *) % 0.88/1.05 assert (zenon_L508_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (~(c1_1 (a651))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H25c zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H19f zenon_H19d zenon_H277 zenon_H19e zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.05 apply (zenon_L202_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.05 apply (zenon_L345_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.88/1.05 apply (zenon_L319_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.88/1.05 apply (zenon_L345_); trivial. % 0.88/1.05 apply (zenon_L507_); trivial. % 0.88/1.05 (* end of lemma zenon_L508_ *) % 0.88/1.05 assert (zenon_L509_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (c0_1 (a655)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H280 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H15c zenon_H15d zenon_H15e zenon_Haf zenon_H19e zenon_H19d zenon_H19f zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H25c zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Hea. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.88/1.05 apply (zenon_L508_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.88/1.05 apply (zenon_L116_); trivial. % 0.88/1.05 exact (zenon_Hea zenon_Heb). % 0.88/1.05 (* end of lemma zenon_L509_ *) % 0.88/1.05 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp10)) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H17a zenon_Hb7 zenon_Hea zenon_H18f zenon_H190 zenon_H191 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H25c zenon_Hd0 zenon_Hd2 zenon_H19f zenon_H19d zenon_H19e zenon_Haf zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_H280 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.05 apply (zenon_L509_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.05 apply (zenon_L47_); trivial. % 0.88/1.05 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.05 (* end of lemma zenon_L510_ *) % 0.88/1.05 assert (zenon_L511_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a657))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hcc zenon_H176 zenon_Haf zenon_Ha6 zenon_Ha8 zenon_Ha7 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H280 zenon_Hea zenon_H191 zenon_H190 zenon_H18f zenon_H232 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H19f zenon_H19d zenon_H19e zenon_H149 zenon_H90 zenon_H91 zenon_H9c zenon_Hb5 zenon_Hb7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.05 apply (zenon_L506_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.05 apply (zenon_L47_); trivial. % 0.88/1.05 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.05 apply (zenon_L510_); trivial. % 0.88/1.05 (* end of lemma zenon_L511_ *) % 0.88/1.05 assert (zenon_L512_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a657))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hb9 zenon_H112 zenon_H176 zenon_Haf zenon_Ha6 zenon_Ha8 zenon_Ha7 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H149 zenon_H29d zenon_H13f zenon_H275 zenon_H1d zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H270 zenon_H280 zenon_Hea zenon_H19e zenon_H19d zenon_H19f zenon_H232 zenon_Hb7 zenon_H56 zenon_Hdb zenon_H23e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L503_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.05 apply (zenon_L336_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.05 apply (zenon_L408_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.05 apply (zenon_L53_); trivial. % 0.88/1.05 apply (zenon_L511_); trivial. % 0.88/1.05 (* end of lemma zenon_L512_ *) % 0.88/1.05 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a665))) -> (~(c1_1 (a665))) -> (c2_1 (a665)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_H7e zenon_H7f zenon_H80 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_H232 zenon_Hb5. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.05 apply (zenon_L36_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.05 apply (zenon_L276_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.05 apply (zenon_L200_); trivial. % 0.88/1.05 apply (zenon_L22_); trivial. % 0.88/1.05 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.05 (* end of lemma zenon_L513_ *) % 0.88/1.05 assert (zenon_L514_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a665)) -> (~(c1_1 (a665))) -> (~(c0_1 (a665))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hcc zenon_H56 zenon_Hb7 zenon_Hb5 zenon_H232 zenon_H80 zenon_H7f zenon_H7e zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.05 apply (zenon_L307_); trivial. % 0.88/1.05 apply (zenon_L513_); trivial. % 0.88/1.05 (* end of lemma zenon_L514_ *) % 0.88/1.05 assert (zenon_L515_ : ((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H8b zenon_Hb9 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb7 zenon_H56 zenon_Hdb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.05 apply (zenon_L53_); trivial. % 0.88/1.05 apply (zenon_L514_); trivial. % 0.88/1.05 apply (zenon_L76_); trivial. % 0.88/1.05 (* end of lemma zenon_L515_ *) % 0.88/1.05 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a665))/\((~(c0_1 (a665)))/\(~(c1_1 (a665))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c2_1 Z))\/(~(c3_1 Z))))))\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1a6 zenon_H8e zenon_Hb9 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_Hb7 zenon_H56 zenon_Hdb zenon_H20 zenon_H1d zenon_H21b zenon_H21a zenon_H219 zenon_H173. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.88/1.05 apply (zenon_L215_); trivial. % 0.88/1.05 apply (zenon_L515_); trivial. % 0.88/1.05 (* end of lemma zenon_L516_ *) % 0.88/1.05 assert (zenon_L517_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H56 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Ha6 zenon_Ha7 zenon_Ha8 zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.05 apply (zenon_L307_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.05 apply (zenon_L202_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.05 apply (zenon_L386_); trivial. % 0.88/1.05 apply (zenon_L22_); trivial. % 0.88/1.05 (* end of lemma zenon_L517_ *) % 0.88/1.05 assert (zenon_L518_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H10d zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_H87 zenon_Hca zenon_Hcd zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L517_); trivial. % 0.88/1.05 apply (zenon_L494_); trivial. % 0.88/1.05 (* end of lemma zenon_L518_ *) % 0.88/1.05 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H24c zenon_H111 zenon_Hb9 zenon_Hb7 zenon_Hb5 zenon_H87 zenon_Hcd zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_H232 zenon_H56 zenon_H43 zenon_Hbf zenon_Hbe zenon_Hbd zenon_Hca zenon_H1d zenon_H2d3 zenon_H69. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.05 apply (zenon_L496_); trivial. % 0.88/1.05 apply (zenon_L518_); trivial. % 0.88/1.05 (* end of lemma zenon_L519_ *) % 0.88/1.05 assert (zenon_L520_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp21)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp27)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H149 zenon_H138 zenon_H137 zenon_H136 zenon_H41 zenon_H3f zenon_H12 zenon_H267 zenon_H269 zenon_H268 zenon_H43 zenon_H147. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.05 apply (zenon_L92_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.05 apply (zenon_L479_); trivial. % 0.88/1.05 exact (zenon_H147 zenon_H148). % 0.88/1.05 (* end of lemma zenon_L520_ *) % 0.88/1.05 assert (zenon_L521_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hba zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219 zenon_Hcd zenon_H155 zenon_H154 zenon_H153 zenon_H253 zenon_Ha8 zenon_Ha7 zenon_H181 zenon_Haf zenon_H87 zenon_Hca. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.05 apply (zenon_L92_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.05 apply (zenon_L202_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.05 apply (zenon_L102_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H8f | zenon_intro zenon_H254 ]. % 0.88/1.05 apply (zenon_L87_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H45 | zenon_intro zenon_H182 ]. % 0.88/1.05 apply (zenon_L128_); trivial. % 0.88/1.05 exact (zenon_H181 zenon_H182). % 0.88/1.05 apply (zenon_L105_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.88/1.05 exact (zenon_H87 zenon_H88). % 0.88/1.05 exact (zenon_Hca zenon_Hcb). % 0.88/1.05 (* end of lemma zenon_L521_ *) % 0.88/1.05 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H10d zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H56 zenon_H253 zenon_H181 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H219 zenon_H21b zenon_H21a zenon_Hcd zenon_Hca zenon_H87 zenon_Haf zenon_H173 zenon_Hb9 zenon_H17e. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.05 apply (zenon_L95_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.05 apply (zenon_L331_); trivial. % 0.88/1.05 apply (zenon_L521_); trivial. % 0.88/1.05 apply (zenon_L238_); trivial. % 0.88/1.05 (* end of lemma zenon_L522_ *) % 0.88/1.05 assert (zenon_L523_ : (~(hskp15)) -> (hskp15) -> False). % 0.88/1.05 do 0 intro. intros zenon_H2d5 zenon_H2d6. % 0.88/1.05 exact (zenon_H2d5 zenon_H2d6). % 0.88/1.05 (* end of lemma zenon_L523_ *) % 0.88/1.05 assert (zenon_L524_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (c3_1 (a652)) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20)))))) -> (~(c2_1 (a652))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp15)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H2d7 zenon_Hbf zenon_H25 zenon_Hbd zenon_H12 zenon_Hca zenon_H2d5. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H1fa | zenon_intro zenon_H2d8 ]. % 0.88/1.05 generalize (zenon_H1fa (a652)). zenon_intro zenon_H2d9. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2d9); [ zenon_intro zenon_H11 | zenon_intro zenon_H2da ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H2c1 ]. % 0.88/1.05 exact (zenon_Hbd zenon_Hc3). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c2 | zenon_intro zenon_Hc4 ]. % 0.88/1.05 generalize (zenon_H25 (a652)). zenon_intro zenon_H2db. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2db); [ zenon_intro zenon_H11 | zenon_intro zenon_H2dc ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2be | zenon_intro zenon_H2dd ]. % 0.88/1.05 exact (zenon_H2c2 zenon_H2be). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc4 ]. % 0.88/1.05 exact (zenon_Hbd zenon_Hc3). % 0.88/1.05 exact (zenon_Hc4 zenon_Hbf). % 0.88/1.05 exact (zenon_Hc4 zenon_Hbf). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2d6 ]. % 0.88/1.05 exact (zenon_Hca zenon_Hcb). % 0.88/1.05 exact (zenon_H2d5 zenon_H2d6). % 0.88/1.05 (* end of lemma zenon_L524_ *) % 0.88/1.05 assert (zenon_L525_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(hskp15)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c3_1 (a652)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp27)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H2de zenon_H19e zenon_H19d zenon_H19f zenon_H136 zenon_H137 zenon_H138 zenon_H149 zenon_H2d5 zenon_Hca zenon_H12 zenon_Hbd zenon_Hbf zenon_H2d7 zenon_H147. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.88/1.05 apply (zenon_L346_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.88/1.05 apply (zenon_L524_); trivial. % 0.88/1.05 exact (zenon_H147 zenon_H148). % 0.88/1.05 (* end of lemma zenon_L525_ *) % 0.88/1.05 assert (zenon_L526_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219 zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_Hfa zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.05 apply (zenon_L92_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.05 apply (zenon_L202_); trivial. % 0.88/1.05 apply (zenon_L106_); trivial. % 0.88/1.05 (* end of lemma zenon_L526_ *) % 0.88/1.05 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp3)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H17a zenon_H177 zenon_H19f zenon_H19e zenon_H19d zenon_H155 zenon_H154 zenon_H153 zenon_Haf zenon_H219 zenon_H21b zenon_H21a zenon_H136 zenon_H137 zenon_H138 zenon_H173 zenon_Hca. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.88/1.05 apply (zenon_L120_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.88/1.05 apply (zenon_L526_); trivial. % 0.88/1.05 exact (zenon_Hca zenon_Hcb). % 0.88/1.05 (* end of lemma zenon_L527_ *) % 0.88/1.05 assert (zenon_L528_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H176 zenon_H177 zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H173 zenon_H149 zenon_H19f zenon_H19d zenon_H19e zenon_H138 zenon_H137 zenon_H136 zenon_H12 zenon_H2d7 zenon_H2d5 zenon_Hca zenon_Hbf zenon_Hbd zenon_H2de. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.05 apply (zenon_L525_); trivial. % 0.88/1.05 apply (zenon_L527_); trivial. % 0.88/1.05 (* end of lemma zenon_L528_ *) % 0.88/1.05 assert (zenon_L529_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a667))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H277 zenon_H12 zenon_H2e0 zenon_H2e1 zenon_H2e2. % 0.88/1.05 generalize (zenon_H277 (a667)). zenon_intro zenon_H2e3. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H2e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e4 ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2e5 ]. % 0.88/1.05 exact (zenon_H2e0 zenon_H2e6). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2e7 ]. % 0.88/1.05 exact (zenon_H2e1 zenon_H2e8). % 0.88/1.05 exact (zenon_H2e7 zenon_H2e2). % 0.88/1.05 (* end of lemma zenon_L529_ *) % 0.88/1.05 assert (zenon_L530_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (~(hskp10)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H19a zenon_H280 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_Hea. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H277 | zenon_intro zenon_H281 ]. % 0.88/1.05 apply (zenon_L529_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H18e | zenon_intro zenon_Heb ]. % 0.88/1.05 apply (zenon_L116_); trivial. % 0.88/1.05 exact (zenon_Hea zenon_Heb). % 0.88/1.05 (* end of lemma zenon_L530_ *) % 0.88/1.05 assert (zenon_L531_ : ((ndr1_0)/\((c3_1 (a667))/\((~(c0_1 (a667)))/\(~(c2_1 (a667)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp4)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp18)\/(hskp4))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H2e9 zenon_H23e zenon_H280 zenon_Hea zenon_H267 zenon_H268 zenon_H269 zenon_H1d zenon_H275. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.05 apply (zenon_L336_); trivial. % 0.88/1.05 apply (zenon_L530_); trivial. % 0.88/1.05 (* end of lemma zenon_L531_ *) % 0.88/1.05 assert (zenon_L532_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp21)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H24 zenon_H198 zenon_H43 zenon_H41 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H232 zenon_H56 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_He6 zenon_H1df zenon_H1e9 zenon_H1ed. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.05 apply (zenon_L142_); trivial. % 0.88/1.05 apply (zenon_L371_); trivial. % 0.88/1.05 (* end of lemma zenon_L532_ *) % 0.88/1.05 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1e8 zenon_H56 zenon_H198 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H1e9 zenon_H5a zenon_H59 zenon_H58 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.05 apply (zenon_L307_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.05 apply (zenon_L26_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.05 apply (zenon_L369_); trivial. % 0.88/1.05 apply (zenon_L165_); trivial. % 0.88/1.05 (* end of lemma zenon_L533_ *) % 0.88/1.05 assert (zenon_L534_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1f zenon_H1ed zenon_H198 zenon_H1e9 zenon_H5a zenon_H59 zenon_H58 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H4f zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H61 zenon_H1c9 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.05 apply (zenon_L365_); trivial. % 0.88/1.05 apply (zenon_L533_); trivial. % 0.88/1.05 (* end of lemma zenon_L534_ *) % 0.88/1.05 assert (zenon_L535_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H69 zenon_H1ed zenon_H1e9 zenon_H1df zenon_He6 zenon_H3f zenon_H105 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_H56 zenon_H232 zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H43 zenon_H198 zenon_H24. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.05 apply (zenon_L532_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.05 apply (zenon_L142_); trivial. % 0.88/1.05 apply (zenon_L534_); trivial. % 0.88/1.05 (* end of lemma zenon_L535_ *) % 0.88/1.05 assert (zenon_L536_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H1ed zenon_H1e9 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_Hc8 zenon_Hb5 zenon_H4f zenon_H52 zenon_H56. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.05 apply (zenon_L452_); trivial. % 0.88/1.05 apply (zenon_L440_); trivial. % 0.88/1.05 (* end of lemma zenon_L536_ *) % 0.88/1.05 assert (zenon_L537_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H24 zenon_Hdb zenon_H1ed zenon_H1e9 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_Hb7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H2ae zenon_H2b0 zenon_H61 zenon_H1c9 zenon_Hc8 zenon_Hb5 zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H1df zenon_He6 zenon_H4f zenon_H52 zenon_H56. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.05 apply (zenon_L158_); trivial. % 0.88/1.05 apply (zenon_L536_); trivial. % 0.88/1.05 (* end of lemma zenon_L537_ *) % 0.88/1.05 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c3_1 (a640)) -> (c1_1 (a640)) -> (c0_1 (a640)) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H17a zenon_H56 zenon_H1e9 zenon_H1d2 zenon_H1d1 zenon_H1d3 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.05 apply (zenon_L307_); trivial. % 0.88/1.05 apply (zenon_L251_); trivial. % 0.88/1.05 (* end of lemma zenon_L538_ *) % 0.88/1.05 assert (zenon_L539_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1e8 zenon_H176 zenon_H56 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H149. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.05 apply (zenon_L247_); trivial. % 0.88/1.05 apply (zenon_L538_); trivial. % 0.88/1.05 (* end of lemma zenon_L539_ *) % 0.88/1.05 assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H176 zenon_H56 zenon_H1e9 zenon_H105 zenon_H3f zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H149 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L135_); trivial. % 0.88/1.06 apply (zenon_L539_); trivial. % 0.88/1.06 (* end of lemma zenon_L540_ *) % 0.88/1.06 assert (zenon_L541_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp21)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H24 zenon_H198 zenon_H43 zenon_H41 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H4f zenon_H232 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H12 zenon_H105 zenon_H3f zenon_He6 zenon_H1df zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1e9 zenon_H1ed. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.06 apply (zenon_L455_); trivial. % 0.88/1.06 apply (zenon_L371_); trivial. % 0.88/1.06 (* end of lemma zenon_L541_ *) % 0.88/1.06 assert (zenon_L542_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1f zenon_H1ed zenon_H56 zenon_H198 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H1e9 zenon_H5a zenon_H59 zenon_H58 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L533_); trivial. % 0.88/1.06 (* end of lemma zenon_L542_ *) % 0.88/1.06 assert (zenon_L543_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H63 zenon_H24 zenon_H56 zenon_H198 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H105 zenon_H3f zenon_He6 zenon_H1df zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1e9 zenon_H1ed. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.06 apply (zenon_L455_); trivial. % 0.88/1.06 apply (zenon_L542_); trivial. % 0.88/1.06 (* end of lemma zenon_L543_ *) % 0.88/1.06 assert (zenon_L544_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H69 zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H1df zenon_He6 zenon_H3f zenon_H105 zenon_H12 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_H56 zenon_H232 zenon_H4f zenon_H52 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H43 zenon_H198 zenon_H24. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.06 apply (zenon_L541_); trivial. % 0.88/1.06 apply (zenon_L543_); trivial. % 0.88/1.06 (* end of lemma zenon_L544_ *) % 0.88/1.06 assert (zenon_L545_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> (ndr1_0) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H112 zenon_Hee zenon_Hea zenon_H10a zenon_H24 zenon_H198 zenon_H43 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H52 zenon_H4f zenon_H232 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H12 zenon_H105 zenon_H3f zenon_H1df zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1e9 zenon_H1ed zenon_H69. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L544_); trivial. % 0.88/1.06 apply (zenon_L154_); trivial. % 0.88/1.06 (* end of lemma zenon_L545_ *) % 0.88/1.06 assert (zenon_L546_ : ((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H63 zenon_H1ed zenon_H198 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H1e9 zenon_Hee zenon_Hea zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H105 zenon_H3f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H10a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L151_); trivial. % 0.88/1.06 apply (zenon_L167_); trivial. % 0.88/1.06 (* end of lemma zenon_L546_ *) % 0.88/1.06 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H69 zenon_H10a zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_Hea zenon_Hee zenon_H43 zenon_H1e9 zenon_H91 zenon_H90 zenon_H9c zenon_H10e zenon_H198 zenon_H1ed. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L151_); trivial. % 0.88/1.06 apply (zenon_L166_); trivial. % 0.88/1.06 apply (zenon_L546_); trivial. % 0.88/1.06 (* end of lemma zenon_L547_ *) % 0.88/1.06 assert (zenon_L548_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hba zenon_H112 zenon_H69 zenon_H10a zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H3f zenon_H105 zenon_Hea zenon_Hee zenon_H43 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L408_); trivial. % 0.88/1.06 apply (zenon_L547_); trivial. % 0.88/1.06 (* end of lemma zenon_L548_ *) % 0.88/1.06 assert (zenon_L549_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H173 zenon_H1cd zenon_H1b8 zenon_H1b9 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_H21a zenon_H21b zenon_H219 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.06 apply (zenon_L294_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.06 apply (zenon_L202_); trivial. % 0.88/1.06 apply (zenon_L114_); trivial. % 0.88/1.06 (* end of lemma zenon_L549_ *) % 0.88/1.06 assert (zenon_L550_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1e8 zenon_H1e9 zenon_H187 zenon_H186 zenon_H185 zenon_H219 zenon_H21b zenon_H21a zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H173 zenon_H1b9 zenon_H1b8 zenon_H1c2. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.88/1.06 apply (zenon_L549_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.88/1.06 apply (zenon_L139_); trivial. % 0.88/1.06 apply (zenon_L140_); trivial. % 0.88/1.06 (* end of lemma zenon_L550_ *) % 0.88/1.06 assert (zenon_L551_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H219 zenon_H21b zenon_H21a zenon_H185 zenon_H186 zenon_H187 zenon_H173 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L550_); trivial. % 0.88/1.06 (* end of lemma zenon_L551_ *) % 0.88/1.06 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H7a zenon_H1ed zenon_H10a zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_Hb5 zenon_H1f8 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L194_); trivial. % 0.88/1.06 (* end of lemma zenon_L552_ *) % 0.88/1.06 assert (zenon_L553_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H176 zenon_H56 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H149 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L539_); trivial. % 0.88/1.06 (* end of lemma zenon_L553_ *) % 0.88/1.06 assert (zenon_L554_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H112 zenon_Hee zenon_Hea zenon_H10a zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_Hc8 zenon_Hb5 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b0 zenon_H2ae zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H1e9 zenon_H1ed zenon_Hdb zenon_H24. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L463_); trivial. % 0.88/1.06 apply (zenon_L154_); trivial. % 0.88/1.06 (* end of lemma zenon_L554_ *) % 0.88/1.06 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H69 zenon_H1ed zenon_H198 zenon_H10e zenon_H9c zenon_H90 zenon_H91 zenon_H1e9 zenon_Hee zenon_Hea zenon_H105 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H10a zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.06 apply (zenon_L84_); trivial. % 0.88/1.06 apply (zenon_L546_); trivial. % 0.88/1.06 (* end of lemma zenon_L555_ *) % 0.88/1.06 assert (zenon_L556_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hba zenon_H112 zenon_H69 zenon_H198 zenon_Hee zenon_Hea zenon_H10a zenon_H43 zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_Hc8 zenon_Hb5 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b0 zenon_H2ae zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H10e zenon_Hb7 zenon_H1e9 zenon_H1ed zenon_Hdb zenon_H24. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L470_); trivial. % 0.88/1.06 apply (zenon_L555_); trivial. % 0.88/1.06 (* end of lemma zenon_L556_ *) % 0.88/1.06 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(hskp26)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H17a zenon_H56 zenon_H1c9 zenon_H61 zenon_H1c7 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H21a zenon_H21b zenon_H219 zenon_H1c2 zenon_H2b0 zenon_H2ae zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H173 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.06 apply (zenon_L307_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.88/1.06 apply (zenon_L250_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.88/1.06 apply (zenon_L139_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2b1 ]. % 0.88/1.06 apply (zenon_L250_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H2af ]. % 0.88/1.06 apply (zenon_L466_); trivial. % 0.88/1.06 exact (zenon_H2ae zenon_H2af). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.88/1.06 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.06 exact (zenon_H61 zenon_H62). % 0.88/1.06 (* end of lemma zenon_L557_ *) % 0.88/1.06 assert (zenon_L558_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(hskp26)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c3_1 (a695))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H176 zenon_H56 zenon_H1c9 zenon_H61 zenon_H1c7 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H1c2 zenon_H2b0 zenon_H2ae zenon_H10e zenon_Hd2 zenon_Hd0 zenon_Hd1 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H173 zenon_H1e9 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H12 zenon_H149. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.06 apply (zenon_L247_); trivial. % 0.88/1.06 apply (zenon_L557_); trivial. % 0.88/1.06 (* end of lemma zenon_L558_ *) % 0.88/1.06 assert (zenon_L559_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp15)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c3_1 (a652)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp28)) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H33 zenon_H2d5 zenon_Hca zenon_H12 zenon_Hbd zenon_Hbf zenon_H2d7 zenon_H2f zenon_H31. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H25 | zenon_intro zenon_H34 ]. % 0.88/1.06 apply (zenon_L524_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H30 | zenon_intro zenon_H32 ]. % 0.88/1.06 exact (zenon_H2f zenon_H30). % 0.88/1.06 exact (zenon_H31 zenon_H32). % 0.88/1.06 (* end of lemma zenon_L559_ *) % 0.88/1.06 assert (zenon_L560_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hba zenon_H56 zenon_Hcd zenon_H87 zenon_H181 zenon_H253 zenon_H2d7 zenon_H2d5 zenon_Hca zenon_Hbf zenon_Hbd zenon_H31 zenon_H33. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.06 apply (zenon_L559_); trivial. % 0.88/1.06 apply (zenon_L255_); trivial. % 0.88/1.06 (* end of lemma zenon_L560_ *) % 0.88/1.06 assert (zenon_L561_ : (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H25 zenon_H12 zenon_H208 zenon_H2e0 zenon_H2e2 zenon_H2e1. % 0.88/1.06 generalize (zenon_H25 (a667)). zenon_intro zenon_H2ec. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H2ec); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ed ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2e5 ]. % 0.88/1.06 generalize (zenon_H208 (a667)). zenon_intro zenon_H2ef. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H2ef); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f0 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2f1 ]. % 0.88/1.06 exact (zenon_H2e0 zenon_H2e6). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2e7 ]. % 0.88/1.06 exact (zenon_H2f2 zenon_H2ee). % 0.88/1.06 exact (zenon_H2e7 zenon_H2e2). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2e7 ]. % 0.88/1.06 exact (zenon_H2e1 zenon_H2e8). % 0.88/1.06 exact (zenon_H2e7 zenon_H2e2). % 0.88/1.06 (* end of lemma zenon_L561_ *) % 0.88/1.06 assert (zenon_L562_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20)))))) -> (~(hskp11)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H210 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H2e1 zenon_H2e2 zenon_H2e0 zenon_H12 zenon_H25 zenon_H3f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.88/1.06 apply (zenon_L245_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.88/1.06 apply (zenon_L561_); trivial. % 0.88/1.06 exact (zenon_H3f zenon_H40). % 0.88/1.06 (* end of lemma zenon_L562_ *) % 0.88/1.06 assert (zenon_L563_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp27)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2de zenon_H3f zenon_H12 zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H210 zenon_H147. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.88/1.06 apply (zenon_L529_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.88/1.06 apply (zenon_L562_); trivial. % 0.88/1.06 exact (zenon_H147 zenon_H148). % 0.88/1.06 (* end of lemma zenon_L563_ *) % 0.88/1.06 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a667))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1e8 zenon_H176 zenon_H56 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H210 zenon_H3f zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H2de. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.06 apply (zenon_L563_); trivial. % 0.88/1.06 apply (zenon_L538_); trivial. % 0.88/1.06 (* end of lemma zenon_L564_ *) % 0.88/1.06 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_Hdb zenon_H1ed zenon_H2de zenon_H232 zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H3f zenon_H210 zenon_H2e2 zenon_H2e1 zenon_H2e0 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H1e9 zenon_H173 zenon_H10e zenon_H2ae zenon_H2b0 zenon_H1c2 zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H56 zenon_H176 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.06 apply (zenon_L53_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.06 apply (zenon_L563_); trivial. % 0.88/1.06 apply (zenon_L557_); trivial. % 0.88/1.06 apply (zenon_L564_); trivial. % 0.88/1.06 (* end of lemma zenon_L565_ *) % 0.88/1.06 assert (zenon_L566_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H69 zenon_H24 zenon_H56 zenon_H198 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H105 zenon_He6 zenon_H1df zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1e9 zenon_H1ed zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.06 apply (zenon_L84_); trivial. % 0.88/1.06 apply (zenon_L543_); trivial. % 0.88/1.06 (* end of lemma zenon_L566_ *) % 0.88/1.06 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H10a zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_Hea zenon_Hee zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L153_); trivial. % 0.88/1.06 (* end of lemma zenon_L567_ *) % 0.88/1.06 assert (zenon_L568_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (c3_1 (a693)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c1_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hcc zenon_H1ed zenon_H56 zenon_H232 zenon_H1b8 zenon_H1b9 zenon_H16 zenon_H3f zenon_H105 zenon_H15 zenon_H14 zenon_H1c2 zenon_H1e9 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H91 zenon_H90 zenon_H9c zenon_H10e zenon_Hb5 zenon_Hb7 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L449_); trivial. % 0.88/1.06 (* end of lemma zenon_L568_ *) % 0.88/1.06 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1a6 zenon_H79 zenon_H10a zenon_H1f8 zenon_H112 zenon_H10e zenon_H219 zenon_H21b zenon_H21a zenon_H173 zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_Hc8 zenon_Hb5 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H56 zenon_H1ed zenon_Hdb zenon_H24 zenon_H33 zenon_Hb9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L473_); trivial. % 0.88/1.06 apply (zenon_L551_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.06 apply (zenon_L275_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.06 apply (zenon_L53_); trivial. % 0.88/1.06 apply (zenon_L568_); trivial. % 0.88/1.06 apply (zenon_L551_); trivial. % 0.88/1.06 apply (zenon_L552_); trivial. % 0.88/1.06 (* end of lemma zenon_L569_ *) % 0.88/1.06 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(c0_1 (a667))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H1ed zenon_H176 zenon_H56 zenon_H1e9 zenon_H1c2 zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H210 zenon_H3f zenon_H219 zenon_H21b zenon_H21a zenon_Haf zenon_H11d zenon_H115 zenon_H114 zenon_H232 zenon_H2de zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L564_); trivial. % 0.88/1.06 (* end of lemma zenon_L570_ *) % 0.88/1.06 assert (zenon_L571_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (ndr1_0) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H79 zenon_H1f8 zenon_Hb5 zenon_H10a zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H69 zenon_H1c9 zenon_H61 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H1ca zenon_H105 zenon_H3f zenon_H43 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_H33 zenon_H6c zenon_Hb9. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.06 apply (zenon_L376_); trivial. % 0.88/1.06 apply (zenon_L195_); trivial. % 0.88/1.06 (* end of lemma zenon_L571_ *) % 0.88/1.06 assert (zenon_L572_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H111 zenon_Hb9 zenon_H6c zenon_H33 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H105 zenon_H1ca zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H19d zenon_H19e zenon_H19f zenon_H4f zenon_H52 zenon_H56 zenon_H10a zenon_Hb5 zenon_H1f8 zenon_H79. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.06 apply (zenon_L571_); trivial. % 0.88/1.06 apply (zenon_L174_); trivial. % 0.88/1.06 (* end of lemma zenon_L572_ *) % 0.88/1.06 assert (zenon_L573_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hea zenon_Hee zenon_H1df zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_Hc8 zenon_Hb5 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b0 zenon_H2ae zenon_H1c2 zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H1e9 zenon_H1ed zenon_Hdb zenon_H24. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L463_); trivial. % 0.88/1.06 apply (zenon_L359_); trivial. % 0.88/1.06 (* end of lemma zenon_L573_ *) % 0.88/1.06 assert (zenon_L574_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp15)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c3_1 (a652)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp27)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2de zenon_H48 zenon_H47 zenon_H46 zenon_H19e zenon_H19d zenon_H19f zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H232 zenon_H2d5 zenon_Hca zenon_H12 zenon_Hbd zenon_Hbf zenon_H2d7 zenon_H147. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.88/1.06 apply (zenon_L497_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.88/1.06 apply (zenon_L524_); trivial. % 0.88/1.06 exact (zenon_H147 zenon_H148). % 0.88/1.06 (* end of lemma zenon_L574_ *) % 0.88/1.06 assert (zenon_L575_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(hskp27)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> (c0_1 (a640)) -> (c1_1 (a640)) -> (c3_1 (a640)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H51 zenon_H198 zenon_H5a zenon_H59 zenon_H58 zenon_H147 zenon_H2d7 zenon_Hbf zenon_Hbd zenon_Hca zenon_H2d5 zenon_H232 zenon_Hd0 zenon_Hd2 zenon_H19f zenon_H19d zenon_H19e zenon_H2de zenon_H1e9 zenon_H3f zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H1d3 zenon_H1d1 zenon_H1d2. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.06 apply (zenon_L26_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.06 apply (zenon_L574_); trivial. % 0.88/1.06 apply (zenon_L165_); trivial. % 0.88/1.06 (* end of lemma zenon_L575_ *) % 0.88/1.06 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a652))) -> (c3_1 (a652)) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(c0_1 (a691))) -> (~(c1_1 (a691))) -> (~(c3_1 (a691))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1e8 zenon_H176 zenon_H219 zenon_H21b zenon_H21a zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H33 zenon_H31 zenon_Hbd zenon_Hbf zenon_Hca zenon_H2d5 zenon_H2d7 zenon_H58 zenon_H59 zenon_H5a zenon_H2de zenon_Hd2 zenon_Hd0 zenon_H19e zenon_H19d zenon_H19f zenon_H232 zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H3f zenon_H105 zenon_H198 zenon_H56. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.06 apply (zenon_L559_); trivial. % 0.88/1.06 apply (zenon_L575_); trivial. % 0.88/1.06 apply (zenon_L538_); trivial. % 0.88/1.06 (* end of lemma zenon_L576_ *) % 0.88/1.06 assert (zenon_L577_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (c2_1 (a671)) -> (c1_1 (a671)) -> (c0_1 (a671)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp27)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2de zenon_H48 zenon_H47 zenon_H46 zenon_H19e zenon_H19d zenon_H19f zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H3f zenon_H12 zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H210 zenon_H147. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.88/1.06 apply (zenon_L497_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.88/1.06 apply (zenon_L562_); trivial. % 0.88/1.06 exact (zenon_H147 zenon_H148). % 0.88/1.06 (* end of lemma zenon_L577_ *) % 0.88/1.06 assert (zenon_L578_ : ((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(c0_1 (a691))) -> (~(c1_1 (a691))) -> (~(c3_1 (a691))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1e8 zenon_H176 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H58 zenon_H59 zenon_H5a zenon_H2de zenon_H114 zenon_H115 zenon_H11d zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H3f zenon_H210 zenon_Hd2 zenon_Hd0 zenon_H19e zenon_H19d zenon_H19f zenon_H232 zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H105 zenon_H198 zenon_H56. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H12. zenon_intro zenon_H1ea. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d3. zenon_intro zenon_H1eb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1d1. zenon_intro zenon_H1d2. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.06 apply (zenon_L307_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.06 apply (zenon_L26_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.06 apply (zenon_L577_); trivial. % 0.88/1.06 apply (zenon_L165_); trivial. % 0.88/1.06 apply (zenon_L538_); trivial. % 0.88/1.06 (* end of lemma zenon_L578_ *) % 0.88/1.06 assert (zenon_L579_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H111 zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hea zenon_Hee zenon_H43 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H12 zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H1df zenon_H105 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H232 zenon_H198 zenon_H56 zenon_H24 zenon_H69 zenon_H10e zenon_Hb9. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L566_); trivial. % 0.88/1.06 apply (zenon_L359_); trivial. % 0.88/1.06 apply (zenon_L459_); trivial. % 0.88/1.06 apply (zenon_L460_); trivial. % 0.88/1.06 (* end of lemma zenon_L579_ *) % 0.88/1.06 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a656))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H109 zenon_H69 zenon_Hdb zenon_H1ed zenon_H176 zenon_H270 zenon_H5 zenon_H269 zenon_H268 zenon_H267 zenon_H2de zenon_H114 zenon_H115 zenon_H11d zenon_Haf zenon_H21a zenon_H21b zenon_H219 zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H210 zenon_H19e zenon_H19d zenon_H19f zenon_H232 zenon_H1e9 zenon_H1c2 zenon_H1b8 zenon_H1b9 zenon_H105 zenon_H198 zenon_H56 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_Hb5 zenon_Hc8 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.06 apply (zenon_L84_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.06 apply (zenon_L53_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_L578_); trivial. % 0.88/1.06 (* end of lemma zenon_L580_ *) % 0.88/1.06 assert (zenon_L581_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hb9 zenon_H6c zenon_Hcd zenon_Hca zenon_H87 zenon_H31 zenon_H33 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H43 zenon_H3f zenon_H105 zenon_H1ca zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H61 zenon_H1c9 zenon_H69 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H153 zenon_H154 zenon_H155 zenon_H181 zenon_H253 zenon_H56. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.06 apply (zenon_L331_); trivial. % 0.88/1.06 apply (zenon_L257_); trivial. % 0.88/1.06 (* end of lemma zenon_L581_ *) % 0.88/1.06 assert (zenon_L582_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219 zenon_H10e zenon_H155 zenon_H154 zenon_H153 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H57. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.06 apply (zenon_L92_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.06 apply (zenon_L202_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hdc | zenon_intro zenon_Ha5 ]. % 0.88/1.06 apply (zenon_L143_); trivial. % 0.88/1.06 apply (zenon_L105_); trivial. % 0.88/1.06 (* end of lemma zenon_L582_ *) % 0.88/1.06 assert (zenon_L583_ : (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(c2_1 (a672))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14))))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H18e zenon_H12 zenon_H6e zenon_H1cd zenon_H6f zenon_H70. % 0.88/1.06 generalize (zenon_H18e (a672)). zenon_intro zenon_H2aa. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ab ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H74 | zenon_intro zenon_H2ac ]. % 0.88/1.06 exact (zenon_H6e zenon_H74). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2ad | zenon_intro zenon_H75 ]. % 0.88/1.06 generalize (zenon_H1cd (a672)). zenon_intro zenon_H2f3. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H2f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f4 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2f5 ]. % 0.88/1.06 exact (zenon_H2ad zenon_H2a9). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H74 | zenon_intro zenon_H76 ]. % 0.88/1.06 exact (zenon_H6e zenon_H74). % 0.88/1.06 exact (zenon_H6f zenon_H76). % 0.88/1.06 exact (zenon_H75 zenon_H70). % 0.88/1.06 (* end of lemma zenon_L583_ *) % 0.88/1.06 assert (zenon_L584_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2b0 zenon_H70 zenon_H6f zenon_H6e zenon_H18e zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_H2ae. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2b1 ]. % 0.88/1.06 apply (zenon_L583_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H2af ]. % 0.88/1.06 apply (zenon_L47_); trivial. % 0.88/1.06 exact (zenon_H2ae zenon_H2af). % 0.88/1.06 (* end of lemma zenon_L584_ *) % 0.88/1.06 assert (zenon_L585_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp20)) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H198 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H219 zenon_H21b zenon_H21a zenon_H136 zenon_H137 zenon_H138 zenon_H173 zenon_He6 zenon_H13f zenon_H29d zenon_H2b0 zenon_H70 zenon_H6f zenon_H6e zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_H2ae. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.06 apply (zenon_L582_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.06 apply (zenon_L407_); trivial. % 0.88/1.06 apply (zenon_L584_); trivial. % 0.88/1.06 (* end of lemma zenon_L585_ *) % 0.88/1.06 assert (zenon_L586_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hba zenon_H112 zenon_H69 zenon_H10a zenon_H1c9 zenon_H61 zenon_H3f zenon_H105 zenon_Hea zenon_Hee zenon_H43 zenon_H1e9 zenon_H1ed zenon_H173 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H21a zenon_H21b zenon_H219 zenon_H138 zenon_H137 zenon_H136 zenon_H29d zenon_H13f zenon_H2b0 zenon_H2ae zenon_H70 zenon_H6f zenon_H6e zenon_H198. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.06 apply (zenon_L585_); trivial. % 0.88/1.06 apply (zenon_L547_); trivial. % 0.88/1.06 (* end of lemma zenon_L586_ *) % 0.88/1.06 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a654))) -> (~(c1_1 (a654))) -> (~(c0_1 (a654))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H175 zenon_Hb9 zenon_H69 zenon_H1c9 zenon_H61 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H105 zenon_H3f zenon_H43 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H181 zenon_H253 zenon_H56. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.06 apply (zenon_L331_); trivial. % 0.88/1.06 apply (zenon_L459_); trivial. % 0.88/1.06 (* end of lemma zenon_L587_ *) % 0.88/1.06 assert (zenon_L588_ : ((ndr1_0)/\((~(c0_1 (a654)))/\((~(c1_1 (a654)))/\(~(c2_1 (a654)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2bb zenon_H111 zenon_H17e zenon_Hb9 zenon_H69 zenon_H1c9 zenon_H61 zenon_H105 zenon_H43 zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H1e9 zenon_H10e zenon_H198 zenon_H1ed zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H181 zenon_H253 zenon_H56 zenon_H136 zenon_H137 zenon_H138 zenon_H143 zenon_H219 zenon_H21b zenon_H21a zenon_H173 zenon_H1a9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.06 apply (zenon_L95_); trivial. % 0.88/1.06 apply (zenon_L587_); trivial. % 0.88/1.06 apply (zenon_L238_); trivial. % 0.88/1.06 apply (zenon_L460_); trivial. % 0.88/1.06 (* end of lemma zenon_L588_ *) % 0.88/1.06 assert (zenon_L589_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (c3_1 (a642)) -> (c0_1 (a642)) -> (~(c1_1 (a642))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hb9 zenon_Hcd zenon_H87 zenon_H2d7 zenon_H2d5 zenon_Hca zenon_Hbf zenon_Hbd zenon_H31 zenon_H33 zenon_H270 zenon_H269 zenon_H268 zenon_H267 zenon_H12 zenon_H153 zenon_H154 zenon_H155 zenon_H181 zenon_H253 zenon_H56. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.06 apply (zenon_L331_); trivial. % 0.88/1.06 apply (zenon_L560_); trivial. % 0.88/1.06 (* end of lemma zenon_L589_ *) % 0.88/1.06 assert (zenon_L590_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp27)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2de zenon_H3f zenon_H12 zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H136 zenon_H137 zenon_H138 zenon_H210 zenon_H147. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.88/1.06 apply (zenon_L529_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.88/1.06 apply (zenon_L92_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.88/1.06 apply (zenon_L561_); trivial. % 0.88/1.06 exact (zenon_H3f zenon_H40). % 0.88/1.06 exact (zenon_H147 zenon_H148). % 0.88/1.06 (* end of lemma zenon_L590_ *) % 0.88/1.06 assert (zenon_L591_ : ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H33 zenon_H2e1 zenon_H2e2 zenon_H2e0 zenon_H208 zenon_H12 zenon_H2f zenon_H31. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H25 | zenon_intro zenon_H34 ]. % 0.88/1.06 apply (zenon_L561_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H30 | zenon_intro zenon_H32 ]. % 0.88/1.06 exact (zenon_H2f zenon_H30). % 0.88/1.06 exact (zenon_H31 zenon_H32). % 0.88/1.06 (* end of lemma zenon_L591_ *) % 0.88/1.06 assert (zenon_L592_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp16)) -> (~(hskp28)) -> (ndr1_0) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp11)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H210 zenon_H138 zenon_H137 zenon_H136 zenon_H31 zenon_H2f zenon_H12 zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H33 zenon_H3f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.88/1.06 apply (zenon_L92_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.88/1.06 apply (zenon_L591_); trivial. % 0.88/1.06 exact (zenon_H3f zenon_H40). % 0.88/1.06 (* end of lemma zenon_L592_ *) % 0.88/1.06 assert (zenon_L593_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219 zenon_H12 zenon_H1e4 zenon_Hbe zenon_Hbf zenon_Hbd. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.06 apply (zenon_L92_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.06 apply (zenon_L202_); trivial. % 0.88/1.06 apply (zenon_L465_); trivial. % 0.88/1.06 (* end of lemma zenon_L593_ *) % 0.88/1.06 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H51 zenon_H1e9 zenon_H105 zenon_H15e zenon_H15d zenon_H3f zenon_H232 zenon_H1b9 zenon_H1b8 zenon_H1c2 zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H21a zenon_H21b zenon_H219 zenon_Hbe zenon_Hbf zenon_Hbd. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1ec ]. % 0.88/1.06 apply (zenon_L250_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e4 ]. % 0.88/1.06 apply (zenon_L139_); trivial. % 0.88/1.06 apply (zenon_L593_); trivial. % 0.88/1.06 (* end of lemma zenon_L594_ *) % 0.88/1.06 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17a zenon_H56 zenon_H1e9 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H173 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H136 zenon_H137 zenon_H138 zenon_H33 zenon_H31 zenon_H2e1 zenon_H2e2 zenon_H2e0 zenon_H3f zenon_H210. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.07 apply (zenon_L592_); trivial. % 0.88/1.07 apply (zenon_L594_); trivial. % 0.88/1.07 (* end of lemma zenon_L595_ *) % 0.88/1.07 assert (zenon_L596_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a667))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H176 zenon_H56 zenon_H1e9 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H173 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H33 zenon_H31 zenon_H12 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H210 zenon_H3f zenon_H138 zenon_H137 zenon_H136 zenon_H2de. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L590_); trivial. % 0.88/1.07 apply (zenon_L595_); trivial. % 0.88/1.07 (* end of lemma zenon_L596_ *) % 0.88/1.07 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17a zenon_H56 zenon_H1e9 zenon_H136 zenon_H137 zenon_H138 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H173 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.07 apply (zenon_L307_); trivial. % 0.88/1.07 apply (zenon_L594_); trivial. % 0.88/1.07 (* end of lemma zenon_L597_ *) % 0.88/1.07 assert (zenon_L598_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a667))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H176 zenon_H56 zenon_H1e9 zenon_Hbe zenon_Hbf zenon_Hbd zenon_H173 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H267 zenon_H268 zenon_H269 zenon_H5 zenon_H270 zenon_H12 zenon_H2e0 zenon_H2e1 zenon_H2e2 zenon_H210 zenon_H3f zenon_H138 zenon_H137 zenon_H136 zenon_H2de. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L590_); trivial. % 0.88/1.07 apply (zenon_L597_); trivial. % 0.88/1.07 (* end of lemma zenon_L598_ *) % 0.88/1.07 assert (zenon_L599_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a667))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1fa zenon_H12 zenon_H2e1 zenon_H36 zenon_H2e0 zenon_H2e2. % 0.88/1.07 generalize (zenon_H1fa (a667)). zenon_intro zenon_H2f6. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H2f6); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f7 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H2f1 ]. % 0.88/1.07 exact (zenon_H2e1 zenon_H2e8). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2e7 ]. % 0.88/1.07 generalize (zenon_H36 (a667)). zenon_intro zenon_H2f8. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H2f8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f9 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2fa ]. % 0.88/1.07 exact (zenon_H2e0 zenon_H2e6). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2e7 ]. % 0.88/1.07 exact (zenon_H2f2 zenon_H2ee). % 0.88/1.07 exact (zenon_H2e7 zenon_H2e2). % 0.88/1.07 exact (zenon_H2e7 zenon_H2e2). % 0.88/1.07 (* end of lemma zenon_L599_ *) % 0.88/1.07 assert (zenon_L600_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a667))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H206 zenon_H138 zenon_H137 zenon_H136 zenon_H2e2 zenon_H2e0 zenon_H36 zenon_H2e1 zenon_H12 zenon_H87. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.07 apply (zenon_L599_); trivial. % 0.88/1.07 exact (zenon_H87 zenon_H88). % 0.88/1.07 (* end of lemma zenon_L600_ *) % 0.88/1.07 assert (zenon_L601_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp6)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H104 zenon_H177 zenon_H87 zenon_H2e1 zenon_H2e0 zenon_H2e2 zenon_H136 zenon_H137 zenon_H138 zenon_H206 zenon_Hca. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.88/1.07 apply (zenon_L600_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.88/1.07 apply (zenon_L63_); trivial. % 0.88/1.07 exact (zenon_Hca zenon_Hcb). % 0.88/1.07 (* end of lemma zenon_L601_ *) % 0.88/1.07 assert (zenon_L602_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H109 zenon_H10a zenon_H177 zenon_Hca zenon_H136 zenon_H137 zenon_H138 zenon_H2e1 zenon_H2e0 zenon_H2e2 zenon_H87 zenon_H206 zenon_Hea zenon_Hee. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.88/1.07 apply (zenon_L62_); trivial. % 0.88/1.07 apply (zenon_L601_); trivial. % 0.88/1.07 (* end of lemma zenon_L602_ *) % 0.88/1.07 assert (zenon_L603_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hba zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_H2e1 zenon_H2e0 zenon_H2e2 zenon_H87 zenon_H206 zenon_Hea zenon_Hee zenon_H173 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H21a zenon_H21b zenon_H219 zenon_H138 zenon_H137 zenon_H136 zenon_H29d zenon_H13f zenon_H2b0 zenon_H2ae zenon_H70 zenon_H6f zenon_H6e zenon_H198. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L585_); trivial. % 0.88/1.07 apply (zenon_L602_); trivial. % 0.88/1.07 (* end of lemma zenon_L603_ *) % 0.88/1.07 assert (zenon_L604_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hba zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hea zenon_Hee zenon_H173 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H153 zenon_H154 zenon_H155 zenon_H10e zenon_H21a zenon_H21b zenon_H219 zenon_H138 zenon_H137 zenon_H136 zenon_H29d zenon_H13f zenon_H2b0 zenon_H2ae zenon_H70 zenon_H6f zenon_H6e zenon_H198. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L585_); trivial. % 0.88/1.07 apply (zenon_L359_); trivial. % 0.88/1.07 (* end of lemma zenon_L604_ *) % 0.88/1.07 assert (zenon_L605_ : ((ndr1_0)/\((~(c0_1 (a654)))/\((~(c1_1 (a654)))/\(~(c2_1 (a654)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H2bb zenon_H111 zenon_H56 zenon_H52 zenon_H4f zenon_H19f zenon_H19e zenon_H19d zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H1ed zenon_H198 zenon_H10e zenon_H1e9 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H43 zenon_H105 zenon_H61 zenon_H1c9 zenon_H69 zenon_Hb9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.07 apply (zenon_L344_); trivial. % 0.88/1.07 apply (zenon_L459_); trivial. % 0.88/1.07 apply (zenon_L460_); trivial. % 0.88/1.07 (* end of lemma zenon_L605_ *) % 0.88/1.07 assert (zenon_L606_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (c0_1 (a652)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17a zenon_H56 zenon_H1e9 zenon_H136 zenon_H137 zenon_H138 zenon_Hbe zenon_H173 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H2d7 zenon_H2d5 zenon_Hca zenon_Hbf zenon_Hbd zenon_H31 zenon_H33. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.07 apply (zenon_L559_); trivial. % 0.88/1.07 apply (zenon_L594_); trivial. % 0.88/1.07 (* end of lemma zenon_L606_ *) % 0.88/1.07 assert (zenon_L607_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (c0_1 (a652)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a646))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H176 zenon_H56 zenon_H1e9 zenon_Hbe zenon_H173 zenon_H1c2 zenon_H219 zenon_H21b zenon_H21a zenon_H105 zenon_H3f zenon_H1b9 zenon_H1b8 zenon_H232 zenon_H31 zenon_H33 zenon_H149 zenon_H19f zenon_H19d zenon_H19e zenon_H138 zenon_H137 zenon_H136 zenon_H12 zenon_H2d7 zenon_H2d5 zenon_Hca zenon_Hbf zenon_Hbd zenon_H2de. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L525_); trivial. % 0.88/1.07 apply (zenon_L606_); trivial. % 0.88/1.07 (* end of lemma zenon_L607_ *) % 0.88/1.07 assert (zenon_L608_ : ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H15e zenon_H15d zenon_H113 zenon_H12 zenon_H3f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdc | zenon_intro zenon_H108 ]. % 0.88/1.07 apply (zenon_L57_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hfa | zenon_intro zenon_H40 ]. % 0.88/1.07 apply (zenon_L248_); trivial. % 0.88/1.07 exact (zenon_H3f zenon_H40). % 0.88/1.07 (* end of lemma zenon_L608_ *) % 0.88/1.07 assert (zenon_L609_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp11)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H3f zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_H16f zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.88/1.07 apply (zenon_L202_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.88/1.07 apply (zenon_L608_); trivial. % 0.88/1.07 apply (zenon_L106_); trivial. % 0.88/1.07 (* end of lemma zenon_L609_ *) % 0.88/1.07 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp11)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17a zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H3f zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_Haf zenon_H153 zenon_H154 zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.07 apply (zenon_L202_); trivial. % 0.88/1.07 apply (zenon_L609_); trivial. % 0.88/1.07 (* end of lemma zenon_L610_ *) % 0.88/1.07 assert (zenon_L611_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1f zenon_H176 zenon_H173 zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H136 zenon_H137 zenon_H138 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H149. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L100_); trivial. % 0.88/1.07 apply (zenon_L610_); trivial. % 0.88/1.07 (* end of lemma zenon_L611_ *) % 0.88/1.07 assert (zenon_L612_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> (~(hskp19)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H24 zenon_H176 zenon_H173 zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H136 zenon_H137 zenon_H138 zenon_Hdf zenon_Hde zenon_Hdd zenon_H149 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_Hd zenon_H1ca zenon_H105 zenon_H3f zenon_He6 zenon_H1df zenon_H1e9 zenon_H1ed. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.07 apply (zenon_L142_); trivial. % 0.88/1.07 apply (zenon_L611_); trivial. % 0.88/1.07 (* end of lemma zenon_L612_ *) % 0.88/1.07 assert (zenon_L613_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H112 zenon_H10a zenon_Hea zenon_Hee zenon_H1ed zenon_H1e9 zenon_H1df zenon_H3f zenon_H105 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_H149 zenon_Hdd zenon_Hde zenon_Hdf zenon_H138 zenon_H137 zenon_H136 zenon_H219 zenon_H21b zenon_H21a zenon_H25c zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_H173 zenon_H176 zenon_H24. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L612_); trivial. % 0.88/1.07 apply (zenon_L65_); trivial. % 0.88/1.07 (* end of lemma zenon_L613_ *) % 0.88/1.07 assert (zenon_L614_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(hskp8)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H6c zenon_H56 zenon_H52 zenon_H31 zenon_H33 zenon_H24 zenon_H176 zenon_H173 zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H136 zenon_H137 zenon_H138 zenon_Hdf zenon_Hde zenon_Hdd zenon_H149 zenon_H1c9 zenon_H61 zenon_H12 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_H4f zenon_H1ca zenon_H105 zenon_H3f zenon_H1df zenon_H1e9 zenon_H1ed zenon_Hee zenon_Hea zenon_H10a zenon_H112. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_L613_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.07 apply (zenon_L158_); trivial. % 0.88/1.07 apply (zenon_L611_); trivial. % 0.88/1.07 apply (zenon_L65_); trivial. % 0.88/1.07 (* end of lemma zenon_L614_ *) % 0.88/1.07 assert (zenon_L615_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H24 zenon_H176 zenon_H173 zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H136 zenon_H137 zenon_H138 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_H149 zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_He6 zenon_H1df. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.07 apply (zenon_L275_); trivial. % 0.88/1.07 apply (zenon_L611_); trivial. % 0.88/1.07 (* end of lemma zenon_L615_ *) % 0.88/1.07 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a656))/\((c2_1 (a656))/\(~(c1_1 (a656))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H130 zenon_H24b zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H24 zenon_H176 zenon_H173 zenon_Haf zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H149 zenon_H1df zenon_Hee zenon_H10a zenon_H112 zenon_H17e zenon_H10e zenon_H111. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.07 apply (zenon_L95_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L615_); trivial. % 0.88/1.07 apply (zenon_L65_); trivial. % 0.88/1.07 apply (zenon_L238_); trivial. % 0.88/1.07 apply (zenon_L66_); trivial. % 0.88/1.07 apply (zenon_L272_); trivial. % 0.88/1.07 (* end of lemma zenon_L616_ *) % 0.88/1.07 assert (zenon_L617_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp8)\/(hskp19))) -> (~(hskp19)) -> (~(hskp8)) -> (~(c1_1 (a646))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (ndr1_0) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H112 zenon_H10a zenon_H177 zenon_Hca zenon_H19f zenon_H19e zenon_H19d zenon_Hea zenon_Hee zenon_H1ed zenon_H1e9 zenon_H1df zenon_H3f zenon_H105 zenon_H1ca zenon_Hd zenon_H4f zenon_H1c2 zenon_H1b9 zenon_H1b8 zenon_H12 zenon_H61 zenon_H1c9 zenon_H149 zenon_Hdd zenon_Hde zenon_Hdf zenon_H138 zenon_H137 zenon_H136 zenon_H219 zenon_H21b zenon_H21a zenon_H25c zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_H173 zenon_H176 zenon_H24. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L612_); trivial. % 0.88/1.07 apply (zenon_L359_); trivial. % 0.88/1.07 (* end of lemma zenon_L617_ *) % 0.88/1.07 assert (zenon_L618_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (c3_1 (a651)) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H2de zenon_H19e zenon_H19d zenon_H19f zenon_H136 zenon_H137 zenon_H138 zenon_H149 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H147. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.88/1.07 apply (zenon_L346_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.88/1.07 apply (zenon_L14_); trivial. % 0.88/1.07 exact (zenon_H147 zenon_H148). % 0.88/1.07 (* end of lemma zenon_L618_ *) % 0.88/1.07 assert (zenon_L619_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a651)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c3_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/(hskp27))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H68 zenon_H176 zenon_H173 zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H149 zenon_H19f zenon_H19d zenon_H19e zenon_H138 zenon_H137 zenon_H136 zenon_H2de. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L618_); trivial. % 0.88/1.07 apply (zenon_L610_); trivial. % 0.88/1.07 (* end of lemma zenon_L619_ *) % 0.88/1.07 assert (zenon_L620_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a646))) -> (~(c3_1 (a646))) -> (~(c1_1 (a646))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a695))) -> (c2_1 (a695)) -> (~(c0_1 (a695))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H173 zenon_H1c1 zenon_H1b8 zenon_H1b9 zenon_H1c2 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_Hd1 zenon_Hd0 zenon_Hd2 zenon_Hb1 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.07 apply (zenon_L241_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.07 apply (zenon_L276_); trivial. % 0.88/1.07 apply (zenon_L114_); trivial. % 0.88/1.07 (* end of lemma zenon_L620_ *) % 0.88/1.07 assert (zenon_L621_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a646))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcc zenon_H1ed zenon_H1e9 zenon_H219 zenon_H21b zenon_H21a zenon_H2b0 zenon_H2ae zenon_H1c2 zenon_H185 zenon_H186 zenon_H187 zenon_H173 zenon_H10e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H1b9 zenon_H1b8 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H61 zenon_H1c9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1cb ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2b1 ]. % 0.88/1.07 apply (zenon_L295_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H2af ]. % 0.88/1.07 apply (zenon_L620_); trivial. % 0.88/1.07 exact (zenon_H2ae zenon_H2af). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H62 ]. % 0.88/1.07 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.07 exact (zenon_H61 zenon_H62). % 0.88/1.07 apply (zenon_L550_); trivial. % 0.88/1.07 (* end of lemma zenon_L621_ *) % 0.88/1.07 assert (zenon_L622_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c0_1 (a654))) -> (~(c1_1 (a654))) -> (~(c2_1 (a654))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hba zenon_H112 zenon_H1ed zenon_H1e9 zenon_H1c2 zenon_H10e zenon_H1b9 zenon_H1b8 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H61 zenon_H1c9 zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L408_); trivial. % 0.88/1.07 apply (zenon_L458_); trivial. % 0.88/1.07 (* end of lemma zenon_L622_ *) % 0.88/1.07 assert (zenon_L623_ : ((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a654)))/\((~(c1_1 (a654)))/\(~(c2_1 (a654))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp9))) -> (~(c1_1 (a646))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c3_1 (a646))) -> (~(c2_1 (a646))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a642))) -> (c0_1 (a642)) -> (c3_1 (a642)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))\/((hskp28)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(c3_1 X14)))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c2_1 X15)\/(c3_1 X15)))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a640))/\((c1_1 (a640))/\(c3_1 (a640)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H130 zenon_H2c6 zenon_H21a zenon_H21b zenon_H219 zenon_H1a9 zenon_H79 zenon_H1f8 zenon_H10a zenon_H33 zenon_H112 zenon_H173 zenon_H10e zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H1df zenon_Hc8 zenon_Hb5 zenon_H56 zenon_H1c9 zenon_H61 zenon_H2b0 zenon_H1c2 zenon_H105 zenon_H1b9 zenon_H1b8 zenon_H232 zenon_Hb7 zenon_H267 zenon_H268 zenon_H269 zenon_H270 zenon_H1e9 zenon_H1ed zenon_Hdb zenon_H24 zenon_H29d zenon_Hb9 zenon_H111. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.88/1.07 apply (zenon_L471_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.07 apply (zenon_L474_); trivial. % 0.88/1.07 apply (zenon_L622_); trivial. % 0.88/1.07 apply (zenon_L569_); trivial. % 0.88/1.07 apply (zenon_L460_); trivial. % 0.88/1.07 (* end of lemma zenon_L623_ *) % 0.88/1.07 assert (zenon_L624_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H113 zenon_H12 zenon_H2fb zenon_H2fc zenon_H2fd. % 0.88/1.07 generalize (zenon_H113 (a641)). zenon_intro zenon_H2fe. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H2fe); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ff ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H301 | zenon_intro zenon_H300 ]. % 0.88/1.07 exact (zenon_H2fb zenon_H301). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H303 | zenon_intro zenon_H302 ]. % 0.88/1.07 exact (zenon_H303 zenon_H2fc). % 0.88/1.07 exact (zenon_H302 zenon_H2fd). % 0.88/1.07 (* end of lemma zenon_L624_ *) % 0.88/1.07 assert (zenon_L625_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp19)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H5 zenon_Hd. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H113 | zenon_intro zenon_H123 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_He ]. % 0.88/1.07 exact (zenon_H5 zenon_H6). % 0.88/1.07 exact (zenon_Hd zenon_He). % 0.88/1.07 (* end of lemma zenon_L625_ *) % 0.88/1.07 assert (zenon_L626_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.07 apply (zenon_L319_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_L22_); trivial. % 0.88/1.07 (* end of lemma zenon_L626_ *) % 0.88/1.07 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H51 zenon_H89 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hd2 zenon_Hd0 zenon_H232 zenon_H87 zenon_H9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.07 apply (zenon_L626_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.07 exact (zenon_H87 zenon_H88). % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L627_ *) % 0.88/1.07 assert (zenon_L628_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcc zenon_H56 zenon_H89 zenon_H9 zenon_H87 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.07 apply (zenon_L17_); trivial. % 0.88/1.07 apply (zenon_L627_); trivial. % 0.88/1.07 (* end of lemma zenon_L628_ *) % 0.88/1.07 assert (zenon_L629_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (ndr1_0) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H6c zenon_Hdb zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_H31 zenon_Hc8 zenon_Hb5 zenon_H4f zenon_H52 zenon_H56 zenon_H12 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H5 zenon_H122. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_L625_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.07 apply (zenon_L452_); trivial. % 0.88/1.07 apply (zenon_L628_); trivial. % 0.88/1.07 (* end of lemma zenon_L629_ *) % 0.88/1.07 assert (zenon_L630_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H232 zenon_H15 zenon_H7d zenon_H14 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.07 apply (zenon_L366_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_L244_); trivial. % 0.88/1.07 (* end of lemma zenon_L630_ *) % 0.88/1.07 assert (zenon_L631_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1f zenon_Hb7 zenon_H141 zenon_H13f zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H143 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.88/1.07 apply (zenon_L630_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.88/1.07 exact (zenon_H13f zenon_H140). % 0.88/1.07 exact (zenon_H141 zenon_H142). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.07 (* end of lemma zenon_L631_ *) % 0.88/1.07 assert (zenon_L632_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp2)) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (c2_1 (a675)) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (ndr1_0) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H112 zenon_H24 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H141 zenon_H143 zenon_H9 zenon_Hd zenon_Hf zenon_H29d zenon_H13f zenon_H9c zenon_H90 zenon_H91 zenon_H12 zenon_Hb5 zenon_Hb7. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L408_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_L631_); trivial. % 0.88/1.07 (* end of lemma zenon_L632_ *) % 0.88/1.07 assert (zenon_L633_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hba zenon_H6c zenon_H56 zenon_Hcd zenon_Hca zenon_H87 zenon_H181 zenon_H253 zenon_H31 zenon_H33 zenon_Hb7 zenon_Hb5 zenon_H13f zenon_H29d zenon_Hf zenon_H9 zenon_H143 zenon_H141 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H24 zenon_H112. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_L632_); trivial. % 0.88/1.07 apply (zenon_L256_); trivial. % 0.88/1.07 (* end of lemma zenon_L633_ *) % 0.88/1.07 assert (zenon_L634_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H304 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H5 zenon_H181. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H113 | zenon_intro zenon_H305 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H6 | zenon_intro zenon_H182 ]. % 0.88/1.07 exact (zenon_H5 zenon_H6). % 0.88/1.07 exact (zenon_H181 zenon_H182). % 0.88/1.07 (* end of lemma zenon_L634_ *) % 0.88/1.07 assert (zenon_L635_ : ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp18)) -> (~(hskp2)) -> (~(hskp20)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H306 zenon_H17f zenon_H9 zenon_He6. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H180 | zenon_intro zenon_H307 ]. % 0.88/1.07 exact (zenon_H17f zenon_H180). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_Ha | zenon_intro zenon_He7 ]. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 exact (zenon_He6 zenon_He7). % 0.88/1.07 (* end of lemma zenon_L635_ *) % 0.88/1.07 assert (zenon_L636_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp23)) -> (~(hskp5)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (c3_1 (a682)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H77 zenon_Hc6 zenon_Hb5 zenon_H27 zenon_H26 zenon_H28 zenon_Hc8 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.88/1.07 apply (zenon_L206_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L636_ *) % 0.88/1.07 assert (zenon_L637_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.07 apply (zenon_L319_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_L244_); trivial. % 0.88/1.07 (* end of lemma zenon_L637_ *) % 0.88/1.07 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H19a zenon_H282 zenon_H9c zenon_H91 zenon_H90 zenon_H2fd zenon_H2fc zenon_H2fb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H283 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H113 | zenon_intro zenon_H18e ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_L116_); trivial. % 0.88/1.07 (* end of lemma zenon_L638_ *) % 0.88/1.07 assert (zenon_L639_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H7a zenon_Hb9 zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_H232 zenon_H141 zenon_H143 zenon_H9 zenon_Hf zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7 zenon_H306 zenon_H77 zenon_Hc8 zenon_Hdb zenon_H6c zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.07 apply (zenon_L634_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_L632_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L635_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.07 apply (zenon_L636_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.88/1.07 apply (zenon_L637_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.88/1.07 exact (zenon_H13f zenon_H140). % 0.88/1.07 exact (zenon_H141 zenon_H142). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.07 apply (zenon_L638_); trivial. % 0.88/1.07 (* end of lemma zenon_L639_ *) % 0.88/1.07 assert (zenon_L640_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c0_1 (a693))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a693)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H149 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H14 zenon_H7d zenon_H15 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H147. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.07 apply (zenon_L630_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 exact (zenon_H147 zenon_H148). % 0.88/1.07 (* end of lemma zenon_L640_ *) % 0.88/1.07 assert (zenon_L641_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp27)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hb7 zenon_H147 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H15 zenon_H14 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H149 zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_Hb5. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_L640_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.07 (* end of lemma zenon_L641_ *) % 0.88/1.07 assert (zenon_L642_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a675))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33)))))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Haf zenon_H91 zenon_Hd4 zenon_H9c zenon_H7d zenon_H90 zenon_H12 zenon_Hf1 zenon_H14b zenon_Hf0 zenon_Hef. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.07 apply (zenon_L87_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.07 apply (zenon_L44_); trivial. % 0.88/1.07 apply (zenon_L231_); trivial. % 0.88/1.07 (* end of lemma zenon_L642_ *) % 0.88/1.07 assert (zenon_L643_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (c0_1 (a655)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcd zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H16f zenon_H15c zenon_H15d zenon_H15e zenon_Haf zenon_H2fb zenon_H2fc zenon_H2fd zenon_H91 zenon_H9c zenon_H7d zenon_H90 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H25c zenon_H87 zenon_Hca. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.88/1.07 apply (zenon_L642_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_L106_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.88/1.07 exact (zenon_H87 zenon_H88). % 0.88/1.07 exact (zenon_Hca zenon_Hcb). % 0.88/1.07 (* end of lemma zenon_L643_ *) % 0.88/1.07 assert (zenon_L644_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c0_1 (a693))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> (c0_1 (a655)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H173 zenon_H232 zenon_H15 zenon_H16 zenon_H36 zenon_H14 zenon_Hcd zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H15c zenon_H15d zenon_H15e zenon_Haf zenon_H2fb zenon_H2fc zenon_H2fd zenon_H91 zenon_H9c zenon_H7d zenon_H90 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H25c zenon_H87 zenon_Hca. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.07 apply (zenon_L630_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.07 apply (zenon_L361_); trivial. % 0.88/1.07 apply (zenon_L643_); trivial. % 0.88/1.07 (* end of lemma zenon_L644_ *) % 0.88/1.07 assert (zenon_L645_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c3_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H15e zenon_H15d zenon_H15c zenon_Hfa zenon_H12 zenon_H91 zenon_H7d zenon_H90 zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.07 apply (zenon_L102_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.07 apply (zenon_L103_); trivial. % 0.88/1.07 apply (zenon_L161_); trivial. % 0.88/1.07 (* end of lemma zenon_L645_ *) % 0.88/1.07 assert (zenon_L646_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(c0_1 (a693))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H77 zenon_Hca zenon_H87 zenon_H25c zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H90 zenon_H7d zenon_H9c zenon_H91 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_H153 zenon_H154 zenon_H155 zenon_Hcd zenon_H14 zenon_H16 zenon_H15 zenon_H232 zenon_H173 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.88/1.07 apply (zenon_L644_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L646_ *) % 0.88/1.07 assert (zenon_L647_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp2)) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (c3_1 (a693)) -> (~(c0_1 (a693))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17a zenon_Hb7 zenon_H9 zenon_H6e zenon_H6f zenon_H70 zenon_H173 zenon_H232 zenon_H15 zenon_H16 zenon_H14 zenon_Hcd zenon_H155 zenon_H154 zenon_H153 zenon_Haf zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H25c zenon_H87 zenon_Hca zenon_H77 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_L646_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.07 (* end of lemma zenon_L647_ *) % 0.88/1.07 assert (zenon_L648_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H149 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H147. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.07 apply (zenon_L637_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 exact (zenon_H147 zenon_H148). % 0.88/1.07 (* end of lemma zenon_L648_ *) % 0.88/1.07 assert (zenon_L649_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(c2_1 (a672))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H149 zenon_H6f zenon_H70 zenon_H6e zenon_H18e zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H147. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.07 apply (zenon_L418_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 exact (zenon_H147 zenon_H148). % 0.88/1.07 (* end of lemma zenon_L649_ *) % 0.88/1.07 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17a zenon_H89 zenon_Hca zenon_H25c zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H90 zenon_H9c zenon_H91 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Haf zenon_H153 zenon_H154 zenon_H155 zenon_Hcd zenon_Hd2 zenon_Hd0 zenon_H232 zenon_H173 zenon_H87 zenon_H9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.07 apply (zenon_L637_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.07 apply (zenon_L319_); trivial. % 0.88/1.07 apply (zenon_L643_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.07 exact (zenon_H87 zenon_H88). % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L650_ *) % 0.88/1.07 assert (zenon_L651_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c0_1 (a691))) -> (~(c1_1 (a691))) -> (~(c3_1 (a691))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(c2_1 (a672))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcc zenon_H176 zenon_H89 zenon_H9 zenon_Hcd zenon_Hca zenon_H87 zenon_Haf zenon_H9c zenon_H91 zenon_H90 zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H173 zenon_H58 zenon_H59 zenon_H5a zenon_H149 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H232 zenon_H6f zenon_H70 zenon_H6e zenon_H198. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.07 apply (zenon_L26_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.07 apply (zenon_L648_); trivial. % 0.88/1.07 apply (zenon_L649_); trivial. % 0.88/1.07 apply (zenon_L650_); trivial. % 0.88/1.07 (* end of lemma zenon_L651_ *) % 0.88/1.07 assert (zenon_L652_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H7a zenon_Hb9 zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_H176 zenon_H173 zenon_H25c zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_H87 zenon_Hca zenon_Hcd zenon_H77 zenon_H149 zenon_H232 zenon_H9 zenon_Hf zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7 zenon_H306 zenon_H3f zenon_H43 zenon_Hc8 zenon_H198 zenon_H89 zenon_Hdb zenon_H69 zenon_H6c zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.07 apply (zenon_L634_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L408_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L641_); trivial. % 0.88/1.07 apply (zenon_L647_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L635_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.07 apply (zenon_L32_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.07 apply (zenon_L636_); trivial. % 0.88/1.07 apply (zenon_L651_); trivial. % 0.88/1.07 apply (zenon_L638_); trivial. % 0.88/1.07 (* end of lemma zenon_L652_ *) % 0.88/1.07 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H175 zenon_H79 zenon_H77 zenon_H29d zenon_H13f zenon_H3f zenon_H43 zenon_Hc8 zenon_H198 zenon_H89 zenon_Hdb zenon_H69 zenon_H304 zenon_H181 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H6c zenon_H56 zenon_H253 zenon_H33 zenon_H306 zenon_H9 zenon_Hf zenon_Hb7 zenon_Hb5 zenon_H232 zenon_H149 zenon_H177 zenon_Hcd zenon_Hca zenon_H87 zenon_Haf zenon_H25c zenon_H173 zenon_H176 zenon_H24 zenon_H112 zenon_H282 zenon_H23e zenon_Hb9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.07 apply (zenon_L634_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.07 apply (zenon_L635_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.07 apply (zenon_L8_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L641_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H36 | zenon_intro zenon_H17d ]. % 0.88/1.07 apply (zenon_L644_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hcb ]. % 0.88/1.07 apply (zenon_L645_); trivial. % 0.88/1.07 exact (zenon_Hca zenon_Hcb). % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.07 apply (zenon_L256_); trivial. % 0.88/1.07 apply (zenon_L638_); trivial. % 0.88/1.07 apply (zenon_L652_); trivial. % 0.88/1.07 (* end of lemma zenon_L653_ *) % 0.88/1.07 assert (zenon_L654_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (c0_1 (a671)) -> (c1_1 (a671)) -> (c2_1 (a671)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H232 zenon_H15 zenon_H7d zenon_H14 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H46 zenon_H47 zenon_H48. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.07 apply (zenon_L366_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.07 apply (zenon_L624_); trivial. % 0.88/1.07 apply (zenon_L22_); trivial. % 0.88/1.07 (* end of lemma zenon_L654_ *) % 0.88/1.07 assert (zenon_L655_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H51 zenon_H89 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H14 zenon_H15 zenon_H232 zenon_H87 zenon_H9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.07 apply (zenon_L654_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.07 exact (zenon_H87 zenon_H88). % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 (* end of lemma zenon_L655_ *) % 0.88/1.07 assert (zenon_L656_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c0_1 (a695))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H51 zenon_Hb7 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hd2 zenon_Hd0 zenon_H232 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.07 apply (zenon_L626_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.07 apply (zenon_L47_); trivial. % 0.88/1.07 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.07 (* end of lemma zenon_L656_ *) % 0.88/1.07 assert (zenon_L657_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c2_1 (a675)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcc zenon_H56 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H91 zenon_H90 zenon_H9c zenon_H10e zenon_Hb5 zenon_Hb7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.08 apply (zenon_L414_); trivial. % 0.88/1.08 apply (zenon_L656_); trivial. % 0.88/1.08 (* end of lemma zenon_L657_ *) % 0.88/1.08 assert (zenon_L658_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H6c zenon_Hdb zenon_Hc8 zenon_H4f zenon_H52 zenon_Hf zenon_H9 zenon_Hb7 zenon_Hb5 zenon_H10e zenon_H187 zenon_H185 zenon_H186 zenon_H31 zenon_H33 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H87 zenon_H89 zenon_H56 zenon_H24. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.08 apply (zenon_L414_); trivial. % 0.88/1.08 apply (zenon_L655_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L452_); trivial. % 0.88/1.08 apply (zenon_L657_); trivial. % 0.88/1.08 (* end of lemma zenon_L658_ *) % 0.88/1.08 assert (zenon_L659_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a660)) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hb9 zenon_Hf zenon_Hb7 zenon_H10e zenon_H187 zenon_H185 zenon_H186 zenon_H24 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H56 zenon_H52 zenon_H4f zenon_Hb5 zenon_Hc8 zenon_H31 zenon_H33 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_Hdb zenon_H6c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L629_); trivial. % 0.88/1.08 apply (zenon_L658_); trivial. % 0.88/1.08 (* end of lemma zenon_L659_ *) % 0.88/1.08 assert (zenon_L660_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (~(c0_1 (a693))) -> (c3_1 (a693)) -> (c2_1 (a693)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H77 zenon_H187 zenon_H186 zenon_H185 zenon_H14 zenon_H16 zenon_H15 zenon_H232 zenon_H7d zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H173 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.08 apply (zenon_L630_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L361_); trivial. % 0.88/1.08 apply (zenon_L114_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L660_ *) % 0.88/1.08 assert (zenon_L661_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp2)) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1f zenon_Hb7 zenon_H9 zenon_H6e zenon_H6f zenon_H70 zenon_H173 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H185 zenon_H186 zenon_H187 zenon_H77 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.08 apply (zenon_L660_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.08 apply (zenon_L47_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.08 (* end of lemma zenon_L661_ *) % 0.88/1.08 assert (zenon_L662_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a672))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp18)) -> (~(hskp2)) -> ((hskp18)\/((hskp2)\/(hskp20))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H112 zenon_H24 zenon_Hb7 zenon_Hb5 zenon_H9c zenon_H91 zenon_H90 zenon_H173 zenon_H187 zenon_H186 zenon_H185 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H6e zenon_H6f zenon_H70 zenon_H77 zenon_Hd zenon_Hf zenon_H17f zenon_H9 zenon_H306. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_L661_); trivial. % 0.88/1.08 (* end of lemma zenon_L662_ *) % 0.88/1.08 assert (zenon_L663_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H173 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.08 apply (zenon_L637_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L319_); trivial. % 0.88/1.08 apply (zenon_L114_); trivial. % 0.88/1.08 (* end of lemma zenon_L663_ *) % 0.88/1.08 assert (zenon_L664_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7a zenon_Hb9 zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_Hb7 zenon_Hb5 zenon_H173 zenon_H187 zenon_H186 zenon_H185 zenon_H232 zenon_H77 zenon_Hf zenon_H9 zenon_H306 zenon_Hc8 zenon_Hdb zenon_H6c zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_L662_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L636_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.08 apply (zenon_L663_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.08 apply (zenon_L47_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 (* end of lemma zenon_L664_ *) % 0.88/1.08 assert (zenon_L665_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H10d zenon_Hb9 zenon_H89 zenon_H9 zenon_Haf zenon_H87 zenon_Hca zenon_Hcd zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_L89_); trivial. % 0.88/1.08 (* end of lemma zenon_L665_ *) % 0.88/1.08 assert (zenon_L666_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H6c zenon_Hdb zenon_H56 zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H31 zenon_H33 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_H12 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H5 zenon_H122. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_L625_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L53_); trivial. % 0.88/1.08 apply (zenon_L628_); trivial. % 0.88/1.08 (* end of lemma zenon_L666_ *) % 0.88/1.08 assert (zenon_L667_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp6)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (c3_1 (a652)) -> (~(c2_1 (a652))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp2)) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H24 zenon_H56 zenon_H89 zenon_H87 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H2d7 zenon_H2d5 zenon_Hca zenon_Hbf zenon_Hbd zenon_H31 zenon_H33 zenon_H9 zenon_Hd zenon_Hf. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.08 apply (zenon_L559_); trivial. % 0.88/1.08 apply (zenon_L655_); trivial. % 0.88/1.08 (* end of lemma zenon_L667_ *) % 0.88/1.08 assert (zenon_L668_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a682))) -> (~(c2_1 (a682))) -> (c3_1 (a682)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcc zenon_H56 zenon_Hb7 zenon_Hb5 zenon_H9c zenon_H91 zenon_H90 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H26 zenon_H27 zenon_H28 zenon_H31 zenon_H33. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.08 apply (zenon_L17_); trivial. % 0.88/1.08 apply (zenon_L656_); trivial. % 0.88/1.08 (* end of lemma zenon_L668_ *) % 0.88/1.08 assert (zenon_L669_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H68 zenon_Hdb zenon_H56 zenon_Hb7 zenon_H9c zenon_H91 zenon_H90 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H31 zenon_H33 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L53_); trivial. % 0.88/1.08 apply (zenon_L668_); trivial. % 0.88/1.08 (* end of lemma zenon_L669_ *) % 0.88/1.08 assert (zenon_L670_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c0_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a652))) -> (c3_1 (a652)) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H6c zenon_Hdb zenon_Hb7 zenon_Hbe zenon_Hb5 zenon_Hc8 zenon_Hf zenon_H9 zenon_H33 zenon_H31 zenon_Hbd zenon_Hbf zenon_Hca zenon_H2d5 zenon_H2d7 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H87 zenon_H89 zenon_H56 zenon_H24. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_L667_); trivial. % 0.88/1.08 apply (zenon_L669_); trivial. % 0.88/1.08 (* end of lemma zenon_L670_ *) % 0.88/1.08 assert (zenon_L671_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp3)\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_Hf zenon_Hca zenon_H2d5 zenon_H2d7 zenon_H24 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H33 zenon_H31 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_H56 zenon_Hdb zenon_H6c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L666_); trivial. % 0.88/1.08 apply (zenon_L670_); trivial. % 0.88/1.08 (* end of lemma zenon_L671_ *) % 0.88/1.08 assert (zenon_L672_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a667))) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (~(hskp28)) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (~(c0_1 (a693))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hb7 zenon_H3f zenon_H33 zenon_H2e1 zenon_H2e2 zenon_H2e0 zenon_H2f zenon_H31 zenon_H232 zenon_H15 zenon_H14 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H210 zenon_H9c zenon_H91 zenon_H90 zenon_H12 zenon_Hb5. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.88/1.08 apply (zenon_L630_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.88/1.08 apply (zenon_L591_); trivial. % 0.88/1.08 exact (zenon_H3f zenon_H40). % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.08 apply (zenon_L47_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.08 (* end of lemma zenon_L672_ *) % 0.88/1.08 assert (zenon_L673_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c0_1 (a693))) -> (c2_1 (a693)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcc zenon_H56 zenon_H210 zenon_H3f zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H31 zenon_H33 zenon_H14 zenon_H15 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H232 zenon_H90 zenon_H91 zenon_H9c zenon_Hb5 zenon_Hb7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.08 apply (zenon_L672_); trivial. % 0.88/1.08 apply (zenon_L656_); trivial. % 0.88/1.08 (* end of lemma zenon_L673_ *) % 0.88/1.08 assert (zenon_L674_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1f zenon_Hdb zenon_H56 zenon_H210 zenon_H3f zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H31 zenon_H33 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H232 zenon_H90 zenon_H91 zenon_H9c zenon_Hb7 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L53_); trivial. % 0.88/1.08 apply (zenon_L673_); trivial. % 0.88/1.08 (* end of lemma zenon_L674_ *) % 0.88/1.08 assert (zenon_L675_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_Hdb zenon_H56 zenon_H210 zenon_H3f zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_H31 zenon_H33 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_Hb7 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_Hf zenon_H9 zenon_H306 zenon_H6c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_L674_); trivial. % 0.88/1.08 apply (zenon_L669_); trivial. % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 (* end of lemma zenon_L675_ *) % 0.88/1.08 assert (zenon_L676_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (~(c2_1 (a667))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hb9 zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_H210 zenon_H3f zenon_H2e0 zenon_H2e2 zenon_H2e1 zenon_Hb7 zenon_Hf zenon_H306 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H33 zenon_H31 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_H56 zenon_Hdb zenon_H6c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L666_); trivial. % 0.88/1.08 apply (zenon_L675_); trivial. % 0.88/1.08 (* end of lemma zenon_L676_ *) % 0.88/1.08 assert (zenon_L677_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp6)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a693)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a693))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H77 zenon_H87 zenon_H2e1 zenon_H2e0 zenon_H2e2 zenon_H232 zenon_H15 zenon_H7d zenon_H14 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.08 apply (zenon_L630_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.08 apply (zenon_L599_); trivial. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L677_ *) % 0.88/1.08 assert (zenon_L678_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp6)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H77 zenon_H87 zenon_H2e1 zenon_H2e0 zenon_H2e2 zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.08 apply (zenon_L637_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.08 apply (zenon_L599_); trivial. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L678_ *) % 0.88/1.08 assert (zenon_L679_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(c2_1 (a672))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a667))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H206 zenon_H6f zenon_H70 zenon_H6e zenon_H18e zenon_H2e2 zenon_H2e0 zenon_H36 zenon_H2e1 zenon_H12 zenon_H87. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.08 apply (zenon_L418_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.08 apply (zenon_L599_); trivial. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 (* end of lemma zenon_L679_ *) % 0.88/1.08 assert (zenon_L680_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp6)) -> (~(c2_1 (a667))) -> (~(c0_1 (a667))) -> (c3_1 (a667)) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c1_1 (a672)) -> (~(c3_1 (a672))) -> (~(c2_1 (a672))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H77 zenon_H87 zenon_H2e1 zenon_H2e0 zenon_H2e2 zenon_H18e zenon_H206 zenon_H70 zenon_H6f zenon_H6e zenon_H12 zenon_H9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H36 | zenon_intro zenon_H78 ]. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha ]. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L680_ *) % 0.88/1.08 assert (zenon_L681_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a667)) -> (~(c0_1 (a667))) -> (~(c2_1 (a667))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp2)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7a zenon_Hb9 zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_H206 zenon_H87 zenon_H2e2 zenon_H2e0 zenon_H2e1 zenon_H232 zenon_H77 zenon_H9 zenon_Hf zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7 zenon_H306 zenon_H3f zenon_H43 zenon_Hc8 zenon_H198 zenon_Hdb zenon_H69 zenon_H6c zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L408_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.08 apply (zenon_L677_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.08 apply (zenon_L47_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.88/1.08 apply (zenon_L32_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L636_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.88/1.08 apply (zenon_L26_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.88/1.08 apply (zenon_L678_); trivial. % 0.88/1.08 apply (zenon_L680_); trivial. % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 (* end of lemma zenon_L681_ *) % 0.88/1.08 assert (zenon_L682_ : ((ndr1_0)/\((c3_1 (a667))/\((~(c0_1 (a667)))/\(~(c2_1 (a667)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H2e9 zenon_H79 zenon_H206 zenon_H77 zenon_H29d zenon_H13f zenon_H43 zenon_H198 zenon_H69 zenon_H181 zenon_H304 zenon_H6c zenon_Hdb zenon_H56 zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_H306 zenon_Hf zenon_Hb7 zenon_H3f zenon_H210 zenon_H24 zenon_H112 zenon_H282 zenon_H23e zenon_Hb9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.08 apply (zenon_L676_); trivial. % 0.88/1.08 apply (zenon_L681_); trivial. % 0.88/1.08 (* end of lemma zenon_L682_ *) % 0.88/1.08 assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_Hdb zenon_H56 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H10e zenon_Hb7 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L53_); trivial. % 0.88/1.08 apply (zenon_L657_); trivial. % 0.88/1.08 (* end of lemma zenon_L683_ *) % 0.88/1.08 assert (zenon_L684_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hb9 zenon_H186 zenon_H185 zenon_H187 zenon_H10e zenon_Hb7 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H33 zenon_H31 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_H56 zenon_Hdb zenon_H6c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L666_); trivial. % 0.88/1.08 apply (zenon_L683_); trivial. % 0.88/1.08 (* end of lemma zenon_L684_ *) % 0.88/1.08 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1a6 zenon_H79 zenon_H23e zenon_H282 zenon_H112 zenon_H24 zenon_H173 zenon_H77 zenon_Hf zenon_H306 zenon_H181 zenon_H304 zenon_H6c zenon_Hdb zenon_H56 zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_Hb7 zenon_H10e zenon_Hb9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.08 apply (zenon_L684_); trivial. % 0.88/1.08 apply (zenon_L664_); trivial. % 0.88/1.08 (* end of lemma zenon_L685_ *) % 0.88/1.08 assert (zenon_L686_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> (~(c0_1 (a651))) -> (~(c1_1 (a651))) -> (c3_1 (a651)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H23e zenon_H282 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H306 zenon_H9 zenon_Hee zenon_Hea zenon_H19d zenon_H19e zenon_H19f zenon_Hca zenon_H177 zenon_H10a zenon_H112. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_L359_); trivial. % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 (* end of lemma zenon_L686_ *) % 0.88/1.08 assert (zenon_L687_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H89 zenon_Hca zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_Hcd zenon_H87 zenon_H9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.08 apply (zenon_L493_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L687_ *) % 0.88/1.08 assert (zenon_L688_ : ((ndr1_0)/\((c3_1 (a667))/\((~(c0_1 (a667)))/\(~(c2_1 (a667)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp11)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H2e9 zenon_H79 zenon_H77 zenon_H19f zenon_H19e zenon_H19d zenon_H6c zenon_Hdb zenon_H56 zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_H306 zenon_Hf zenon_Hb7 zenon_H3f zenon_H210 zenon_H24 zenon_H112 zenon_H282 zenon_H23e zenon_Hb9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.08 apply (zenon_L676_); trivial. % 0.88/1.08 apply (zenon_L352_); trivial. % 0.88/1.08 (* end of lemma zenon_L688_ *) % 0.88/1.08 assert (zenon_L689_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a695)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a695))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> (ndr1_0) -> (~(c3_1 (a657))) -> (c0_1 (a657)) -> (c2_1 (a657)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H232 zenon_Hd0 zenon_H7d zenon_Hd2 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H12 zenon_Ha6 zenon_Ha7 zenon_Ha8. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.08 apply (zenon_L319_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.08 apply (zenon_L624_); trivial. % 0.88/1.08 apply (zenon_L267_); trivial. % 0.88/1.08 (* end of lemma zenon_L689_ *) % 0.88/1.08 assert (zenon_L690_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (c2_1 (a657)) -> (c0_1 (a657)) -> (~(c3_1 (a657))) -> (~(c1_1 (a656))) -> (c0_1 (a656)) -> (c2_1 (a656)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcc zenon_H89 zenon_Ha8 zenon_Ha7 zenon_Ha6 zenon_H114 zenon_H11d zenon_H115 zenon_Haf zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H87 zenon_H9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.08 apply (zenon_L689_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 (* end of lemma zenon_L690_ *) % 0.88/1.08 assert (zenon_L691_ : ((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a656)) -> (c0_1 (a656)) -> (~(c1_1 (a656))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H10d zenon_Hdb zenon_H89 zenon_H9 zenon_H87 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Haf zenon_H115 zenon_H11d zenon_H114 zenon_H232 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.88/1.08 apply (zenon_L53_); trivial. % 0.88/1.08 apply (zenon_L690_); trivial. % 0.88/1.08 (* end of lemma zenon_L691_ *) % 0.88/1.08 assert (zenon_L692_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H232 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.08 apply (zenon_L232_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.08 apply (zenon_L624_); trivial. % 0.88/1.08 apply (zenon_L244_); trivial. % 0.88/1.08 (* end of lemma zenon_L692_ *) % 0.88/1.08 assert (zenon_L693_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H149 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H10e zenon_Hdf zenon_Hde zenon_Hdd zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H147. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.08 apply (zenon_L692_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.08 apply (zenon_L624_); trivial. % 0.88/1.08 exact (zenon_H147 zenon_H148). % 0.88/1.08 (* end of lemma zenon_L693_ *) % 0.88/1.08 assert (zenon_L694_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp11)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H51 zenon_H232 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_H3f zenon_H15d zenon_H15e zenon_Hdd zenon_Hde zenon_Hdf zenon_H105. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.88/1.08 apply (zenon_L232_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.88/1.08 apply (zenon_L608_); trivial. % 0.88/1.08 apply (zenon_L22_); trivial. % 0.88/1.08 (* end of lemma zenon_L694_ *) % 0.88/1.08 assert (zenon_L695_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> (ndr1_0) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H6c zenon_H112 zenon_H176 zenon_H56 zenon_H3f zenon_H105 zenon_H31 zenon_H33 zenon_H232 zenon_H10e zenon_H149 zenon_Hdd zenon_Hde zenon_Hdf zenon_Hb5 zenon_He8 zenon_H12 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H5 zenon_H122. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.88/1.08 apply (zenon_L625_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L59_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.08 apply (zenon_L693_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.88/1.08 apply (zenon_L17_); trivial. % 0.88/1.08 apply (zenon_L694_); trivial. % 0.88/1.08 (* end of lemma zenon_L695_ *) % 0.88/1.08 assert (zenon_L696_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H7a zenon_H10a zenon_H105 zenon_H3f zenon_Hdf zenon_Hde zenon_Hdd zenon_Hb5 zenon_H1f8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.88/1.08 apply (zenon_L181_); trivial. % 0.88/1.08 apply (zenon_L64_); trivial. % 0.88/1.08 (* end of lemma zenon_L696_ *) % 0.88/1.08 assert (zenon_L697_ : ((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((hskp20)\/(hskp5))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H216 zenon_H111 zenon_Hb9 zenon_Hb7 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_He8 zenon_Hb5 zenon_H149 zenon_H10e zenon_H232 zenon_H33 zenon_H105 zenon_H56 zenon_H176 zenon_H112 zenon_H6c zenon_H1f8 zenon_H10a zenon_H79. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L695_); trivial. % 0.88/1.08 apply (zenon_L317_); trivial. % 0.88/1.08 apply (zenon_L696_); trivial. % 0.88/1.08 apply (zenon_L66_); trivial. % 0.88/1.08 (* end of lemma zenon_L697_ *) % 0.88/1.08 assert (zenon_L698_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H149 zenon_H138 zenon_H137 zenon_H136 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H147. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H135 | zenon_intro zenon_H14a ]. % 0.88/1.08 apply (zenon_L92_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H113 | zenon_intro zenon_H148 ]. % 0.88/1.08 apply (zenon_L624_); trivial. % 0.88/1.08 exact (zenon_H147 zenon_H148). % 0.88/1.08 (* end of lemma zenon_L698_ *) % 0.88/1.08 assert (zenon_L699_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (ndr1_0) -> (~(c3_1 (a686))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H9c zenon_H7d zenon_H90 zenon_H12 zenon_Hf1 zenon_H14b zenon_Hf0 zenon_Hef. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb0 ]. % 0.88/1.08 apply (zenon_L102_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha5 ]. % 0.88/1.08 apply (zenon_L44_); trivial. % 0.88/1.08 apply (zenon_L231_); trivial. % 0.88/1.08 (* end of lemma zenon_L699_ *) % 0.88/1.08 assert (zenon_L700_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> (ndr1_0) -> (c0_1 (a655)) -> (c2_1 (a655)) -> (c3_1 (a655)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_Hcd zenon_H155 zenon_H154 zenon_H153 zenon_H12 zenon_H15c zenon_H15d zenon_H15e zenon_Haf zenon_H2fb zenon_H2fc zenon_H2fd zenon_H91 zenon_H9c zenon_H7d zenon_H90 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H25c zenon_H87 zenon_Hca. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.08 apply (zenon_L92_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L699_); trivial. % 0.88/1.08 apply (zenon_L643_); trivial. % 0.88/1.08 (* end of lemma zenon_L700_ *) % 0.88/1.08 assert (zenon_L701_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a686))) -> (ndr1_0) -> (~(c1_1 (a675))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hcd zenon_Hef zenon_Hf0 zenon_H14b zenon_Hf1 zenon_H12 zenon_H90 zenon_H7d zenon_H9c zenon_H91 zenon_Haf zenon_H87 zenon_Hca. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.88/1.08 apply (zenon_L642_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_H88 | zenon_intro zenon_Hcb ]. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 exact (zenon_Hca zenon_Hcb). % 0.88/1.08 (* end of lemma zenon_L701_ *) % 0.88/1.08 assert (zenon_L702_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (~(hskp3)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a675))) -> (c2_1 (a675)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (~(c1_1 (a675))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> (ndr1_0) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_Hca zenon_H87 zenon_Haf zenon_H91 zenon_H9c zenon_H7d zenon_H90 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Hcd zenon_H12 zenon_H185 zenon_H186 zenon_H187. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.08 apply (zenon_L92_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L701_); trivial. % 0.88/1.08 apply (zenon_L114_); trivial. % 0.88/1.08 (* end of lemma zenon_L702_ *) % 0.88/1.08 assert (zenon_L703_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H175 zenon_H176 zenon_H77 zenon_H9 zenon_H173 zenon_Haf zenon_Hca zenon_H177 zenon_H19f zenon_H19e zenon_H19d zenon_H136 zenon_H137 zenon_H138 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H149. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.08 apply (zenon_L698_); trivial. % 0.88/1.08 apply (zenon_L121_); trivial. % 0.88/1.08 (* end of lemma zenon_L703_ *) % 0.88/1.08 assert (zenon_L704_ : ((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1b4 zenon_H1a9 zenon_H143 zenon_H138 zenon_H137 zenon_H136 zenon_H149 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H177 zenon_Hca zenon_Haf zenon_H173 zenon_H9 zenon_H77 zenon_H176 zenon_H17e. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_L95_); trivial. % 0.88/1.08 apply (zenon_L703_); trivial. % 0.88/1.08 apply (zenon_L124_); trivial. % 0.88/1.08 (* end of lemma zenon_L704_ *) % 0.88/1.08 assert (zenon_L705_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c3_1 X33)\/(~(c2_1 X33))))))\/((hskp6)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H308 zenon_H177 zenon_H77 zenon_H17e zenon_Hb9 zenon_H23e zenon_H282 zenon_H306 zenon_H9 zenon_H149 zenon_H173 zenon_H25c zenon_H87 zenon_Hca zenon_Hcd zenon_Haf zenon_H89 zenon_H176 zenon_H112 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H304 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H143 zenon_H1a9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_L95_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.08 apply (zenon_L698_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.08 apply (zenon_L700_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.88/1.08 apply (zenon_L702_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha ]. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 exact (zenon_H9 zenon_Ha). % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 apply (zenon_L704_); trivial. % 0.88/1.08 (* end of lemma zenon_L705_ *) % 0.88/1.08 assert (zenon_L706_ : ((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp11)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H17a zenon_H173 zenon_H138 zenon_H137 zenon_H136 zenon_H25c zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H10e zenon_H3f zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_Haf zenon_H153 zenon_H154 zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.08 apply (zenon_L92_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L232_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.88/1.08 apply (zenon_L232_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.88/1.08 apply (zenon_L608_); trivial. % 0.88/1.08 apply (zenon_L106_); trivial. % 0.88/1.08 (* end of lemma zenon_L706_ *) % 0.88/1.08 assert (zenon_L707_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H109 zenon_H176 zenon_H173 zenon_H105 zenon_H3f zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H138 zenon_H137 zenon_H136 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_H149. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.88/1.08 apply (zenon_L693_); trivial. % 0.88/1.08 apply (zenon_L706_); trivial. % 0.88/1.08 (* end of lemma zenon_L707_ *) % 0.88/1.08 assert (zenon_L708_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a661)) -> (~(c3_1 (a661))) -> (~(c1_1 (a661))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(hskp18)) -> (~(hskp2)) -> ((hskp18)\/((hskp2)\/(hskp20))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H112 zenon_H176 zenon_H173 zenon_H105 zenon_H3f zenon_Haf zenon_H155 zenon_H154 zenon_H153 zenon_H25c zenon_H138 zenon_H137 zenon_H136 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_H149 zenon_H17f zenon_H9 zenon_H306. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_L707_); trivial. % 0.88/1.08 (* end of lemma zenon_L708_ *) % 0.88/1.08 assert (zenon_L709_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp11)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H23e zenon_H282 zenon_H306 zenon_H9 zenon_H149 zenon_H10e zenon_Hdf zenon_Hde zenon_Hdd zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H136 zenon_H137 zenon_H138 zenon_H25c zenon_H153 zenon_H154 zenon_H155 zenon_Haf zenon_H3f zenon_H105 zenon_H173 zenon_H176 zenon_H112. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_L708_); trivial. % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 (* end of lemma zenon_L709_ *) % 0.88/1.08 assert (zenon_L710_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H109 zenon_H173 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_H185 zenon_H186 zenon_H187. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.88/1.08 apply (zenon_L692_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.88/1.08 apply (zenon_L232_); trivial. % 0.88/1.08 apply (zenon_L114_); trivial. % 0.88/1.08 (* end of lemma zenon_L710_ *) % 0.88/1.08 assert (zenon_L711_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> (c0_1 (a660)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp18)) -> (~(hskp2)) -> ((hskp18)\/((hskp2)\/(hskp20))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H112 zenon_H173 zenon_H187 zenon_H186 zenon_H185 zenon_H10e zenon_Hdf zenon_Hde zenon_Hdd zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H17f zenon_H9 zenon_H306. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.88/1.08 apply (zenon_L635_); trivial. % 0.88/1.08 apply (zenon_L710_); trivial. % 0.88/1.08 (* end of lemma zenon_L711_ *) % 0.88/1.08 assert (zenon_L712_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(c1_1 (a660))) -> (~(c2_1 (a660))) -> (c0_1 (a660)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_Hba zenon_H23e zenon_H282 zenon_H306 zenon_H9 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_H185 zenon_H186 zenon_H187 zenon_H173 zenon_H112. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.88/1.08 apply (zenon_L711_); trivial. % 0.88/1.08 apply (zenon_L638_); trivial. % 0.88/1.08 (* end of lemma zenon_L712_ *) % 0.88/1.08 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1a6 zenon_Hb9 zenon_H23e zenon_H282 zenon_H306 zenon_H9 zenon_H232 zenon_Hdd zenon_Hde zenon_Hdf zenon_H10e zenon_H173 zenon_H112 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_L712_); trivial. % 0.88/1.08 (* end of lemma zenon_L713_ *) % 0.88/1.08 assert (zenon_L714_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((hskp18)\/((hskp2)\/(hskp20))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H111 zenon_H17e zenon_Hb9 zenon_H23e zenon_H282 zenon_H306 zenon_H9 zenon_H149 zenon_H10e zenon_Hdf zenon_Hde zenon_Hdd zenon_H232 zenon_H25c zenon_Haf zenon_H105 zenon_H173 zenon_H176 zenon_H112 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H181 zenon_H304 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H143 zenon_H1a9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.88/1.08 apply (zenon_L95_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.88/1.08 apply (zenon_L634_); trivial. % 0.88/1.08 apply (zenon_L709_); trivial. % 0.88/1.08 apply (zenon_L713_); trivial. % 0.88/1.08 apply (zenon_L66_); trivial. % 0.88/1.08 (* end of lemma zenon_L714_ *) % 0.88/1.08 assert (zenon_L715_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c0_1 (a693))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a693)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H206 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H14 zenon_H7d zenon_H15 zenon_H232 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.88/1.08 apply (zenon_L630_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.88/1.08 apply (zenon_L182_); trivial. % 0.88/1.08 exact (zenon_H87 zenon_H88). % 0.88/1.08 (* end of lemma zenon_L715_ *) % 0.88/1.08 assert (zenon_L716_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1f zenon_Hb7 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.88/1.08 apply (zenon_L715_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.88/1.08 apply (zenon_L47_); trivial. % 0.88/1.08 exact (zenon_Hb5 zenon_Hb6). % 0.88/1.08 (* end of lemma zenon_L716_ *) % 0.88/1.08 assert (zenon_L717_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp2)) -> (~(hskp19)) -> ((hskp2)\/((hskp22)\/(hskp19))) -> False). % 0.88/1.08 do 0 intro. intros zenon_H109 zenon_H24 zenon_Hb7 zenon_Hb5 zenon_H9c zenon_H91 zenon_H90 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H9 zenon_Hd zenon_Hf. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.88/1.08 apply (zenon_L8_); trivial. % 0.88/1.08 apply (zenon_L716_); trivial. % 0.88/1.08 (* end of lemma zenon_L717_ *) % 0.88/1.08 assert (zenon_L718_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a686)) -> (c1_1 (a686)) -> (~(c3_1 (a686))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c0_1 (a695))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W)))))) -> (c2_1 (a695)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.95/1.09 do 0 intro. intros zenon_H206 zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H2fb zenon_H2fc zenon_H2fd zenon_Hd2 zenon_H7d zenon_Hd0 zenon_H232 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H12 zenon_H87. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.95/1.09 apply (zenon_L637_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.95/1.09 apply (zenon_L182_); trivial. % 0.95/1.09 exact (zenon_H87 zenon_H88). % 0.95/1.09 (* end of lemma zenon_L718_ *) % 0.95/1.09 assert (zenon_L719_ : ((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp6)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (~(hskp5)) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hcc zenon_Hb7 zenon_H87 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H206 zenon_H9c zenon_H91 zenon_H90 zenon_Hb5. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.95/1.09 apply (zenon_L718_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.95/1.09 apply (zenon_L47_); trivial. % 0.95/1.09 exact (zenon_Hb5 zenon_Hb6). % 0.95/1.09 (* end of lemma zenon_L719_ *) % 0.95/1.09 assert (zenon_L720_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H109 zenon_Hdb zenon_Hb7 zenon_H9c zenon_H91 zenon_H90 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_Hc8 zenon_Hb5 zenon_H4f zenon_H52 zenon_H56. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L452_); trivial. % 0.95/1.09 apply (zenon_L719_); trivial. % 0.95/1.09 (* end of lemma zenon_L720_ *) % 0.95/1.09 assert (zenon_L721_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> (~(hskp2)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H6c zenon_Hdb zenon_H33 zenon_H31 zenon_Hc8 zenon_H4f zenon_H52 zenon_H56 zenon_Hb7 zenon_Hb5 zenon_H13f zenon_H29d zenon_Hf zenon_H9 zenon_H206 zenon_H87 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H24 zenon_H112. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L408_); trivial. % 0.95/1.09 apply (zenon_L717_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L408_); trivial. % 0.95/1.09 apply (zenon_L720_); trivial. % 0.95/1.09 (* end of lemma zenon_L721_ *) % 0.95/1.09 assert (zenon_L722_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hb9 zenon_Hb7 zenon_H13f zenon_H29d zenon_Hf zenon_H206 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H24 zenon_H112 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H56 zenon_H52 zenon_H4f zenon_Hb5 zenon_Hc8 zenon_H31 zenon_H33 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_Hdb zenon_H6c. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L629_); trivial. % 0.95/1.09 apply (zenon_L721_); trivial. % 0.95/1.09 (* end of lemma zenon_L722_ *) % 0.95/1.09 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H1a6 zenon_H79 zenon_H10a zenon_H204 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H1f8 zenon_H6c zenon_Hdb zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_Hc8 zenon_Hb5 zenon_H4f zenon_H52 zenon_H56 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_H24 zenon_H10e zenon_Hb7 zenon_Hf zenon_Hb9. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L659_); trivial. % 0.95/1.09 apply (zenon_L184_); trivial. % 0.95/1.09 (* end of lemma zenon_L723_ *) % 0.95/1.09 assert (zenon_L724_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H1a9 zenon_H10e zenon_Hb9 zenon_Hb7 zenon_H29d zenon_Hf zenon_H206 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H24 zenon_H112 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H56 zenon_H52 zenon_H4f zenon_Hb5 zenon_Hc8 zenon_H33 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_Hdb zenon_H6c zenon_H1f8 zenon_H204 zenon_H10a zenon_H79. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L722_); trivial. % 0.95/1.09 apply (zenon_L184_); trivial. % 0.95/1.09 apply (zenon_L723_); trivial. % 0.95/1.09 (* end of lemma zenon_L724_ *) % 0.95/1.09 assert (zenon_L725_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> (~(hskp6)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H112 zenon_Hdb zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H1fb zenon_H1fc zenon_H1fd zenon_H87 zenon_H206 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hc8 zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L408_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L53_); trivial. % 0.95/1.09 apply (zenon_L719_); trivial. % 0.95/1.09 (* end of lemma zenon_L725_ *) % 0.95/1.09 assert (zenon_L726_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hb9 zenon_H112 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H206 zenon_H29d zenon_H13f zenon_Hb7 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_Hc8 zenon_Hb5 zenon_Hbf zenon_Hbe zenon_Hbd zenon_H33 zenon_H31 zenon_H232 zenon_H87 zenon_H9 zenon_H89 zenon_H56 zenon_Hdb zenon_H6c. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L666_); trivial. % 0.95/1.09 apply (zenon_L725_); trivial. % 0.95/1.09 (* end of lemma zenon_L726_ *) % 0.95/1.09 assert (zenon_L727_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> (~(c3_1 (a672))) -> (c1_1 (a672)) -> (~(c2_1 (a672))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(hskp6)) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H282 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H206 zenon_H6f zenon_H70 zenon_H6e zenon_H1fd zenon_H1fc zenon_H1fb zenon_H87. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H283 ]. % 0.95/1.09 apply (zenon_L47_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H113 | zenon_intro zenon_H18e ]. % 0.95/1.09 apply (zenon_L624_); trivial. % 0.95/1.09 apply (zenon_L419_); trivial. % 0.95/1.09 (* end of lemma zenon_L727_ *) % 0.95/1.09 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> (c3_1 (a651)) -> (~(c1_1 (a651))) -> (~(c0_1 (a651))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H1a6 zenon_H79 zenon_H77 zenon_H19f zenon_H19e zenon_H19d zenon_H6c zenon_Hdb zenon_H56 zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_Hbd zenon_Hbe zenon_Hbf zenon_Hb5 zenon_Hc8 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_Hb7 zenon_H10e zenon_Hb9. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L684_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 (* end of lemma zenon_L728_ *) % 0.95/1.09 assert (zenon_L729_ : ((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a695))/\((~(c0_1 (a695)))/\(~(c3_1 (a695))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp5)\/(hskp23))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> ((hskp2)\/((hskp22)\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H1b4 zenon_H1b5 zenon_H79 zenon_H77 zenon_H6c zenon_Hdb zenon_H89 zenon_H9 zenon_H87 zenon_H232 zenon_H33 zenon_Hc8 zenon_Hb5 zenon_H52 zenon_H56 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_H112 zenon_H24 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H206 zenon_Hf zenon_H29d zenon_Hb7 zenon_Hb9 zenon_H10e zenon_H1f8 zenon_H204 zenon_H10a zenon_H1a9. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L722_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 apply (zenon_L723_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L726_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 apply (zenon_L728_); trivial. % 0.95/1.09 (* end of lemma zenon_L729_ *) % 0.95/1.09 assert (zenon_L730_ : ((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c3_1 (a691))) -> (~(c1_1 (a691))) -> (~(c0_1 (a691))) -> (~(hskp11)) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(c2_1 (a676))) -> (c0_1 (a676)) -> (c1_1 (a676)) -> False). % 0.95/1.09 do 0 intro. intros zenon_H1f zenon_H198 zenon_H5a zenon_H59 zenon_H58 zenon_H3f zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H18f zenon_H190 zenon_H191. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H57 | zenon_intro zenon_H199 ]. % 0.95/1.09 apply (zenon_L26_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H7d | zenon_intro zenon_H18e ]. % 0.95/1.09 apply (zenon_L287_); trivial. % 0.95/1.09 apply (zenon_L116_); trivial. % 0.95/1.09 (* end of lemma zenon_L730_ *) % 0.95/1.09 assert (zenon_L731_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c1_1 (a676)) -> (c0_1 (a676)) -> (~(c2_1 (a676))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (~(hskp20)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a682)) -> (~(c2_1 (a682))) -> (~(c1_1 (a682))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H69 zenon_H24 zenon_H198 zenon_H191 zenon_H190 zenon_H18f zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_H1df zenon_He6 zenon_H33 zenon_H31 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H43 zenon_H3f zenon_H4f zenon_H52 zenon_H56. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_L25_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.95/1.09 apply (zenon_L158_); trivial. % 0.95/1.09 apply (zenon_L730_); trivial. % 0.95/1.09 (* end of lemma zenon_L731_ *) % 0.95/1.09 assert (zenon_L732_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (c2_1 (a675)) -> (~(c3_1 (a675))) -> (~(c1_1 (a675))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> False). % 0.95/1.09 do 0 intro. intros zenon_H282 zenon_H9c zenon_H91 zenon_H90 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H208 zenon_H12 zenon_H1fb zenon_H1fc zenon_H1fd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H283 ]. % 0.95/1.09 apply (zenon_L47_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H113 | zenon_intro zenon_H18e ]. % 0.95/1.09 apply (zenon_L624_); trivial. % 0.95/1.09 apply (zenon_L288_); trivial. % 0.95/1.09 (* end of lemma zenon_L732_ *) % 0.95/1.09 assert (zenon_L733_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(hskp11)) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H210 zenon_H138 zenon_H137 zenon_H136 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H2fb zenon_H2fc zenon_H2fd zenon_H282 zenon_H3f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H135 | zenon_intro zenon_H211 ]. % 0.95/1.09 apply (zenon_L92_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H208 | zenon_intro zenon_H40 ]. % 0.95/1.09 apply (zenon_L732_); trivial. % 0.95/1.09 exact (zenon_H3f zenon_H40). % 0.95/1.09 (* end of lemma zenon_L733_ *) % 0.95/1.09 assert (zenon_L734_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (~(c2_1 (a648))) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (~(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a652))) -> (c0_1 (a652)) -> (c3_1 (a652)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H69 zenon_H24 zenon_H198 zenon_H136 zenon_H137 zenon_H138 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H210 zenon_Hdd zenon_Hde zenon_Hdf zenon_H105 zenon_He6 zenon_H1df zenon_H12 zenon_Hbd zenon_Hbe zenon_Hbf zenon_H3f zenon_H43. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_L84_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.95/1.09 apply (zenon_L275_); trivial. % 0.95/1.09 apply (zenon_L290_); trivial. % 0.95/1.09 (* end of lemma zenon_L734_ *) % 0.95/1.09 assert (zenon_L735_ : ((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> (c1_1 (a647)) -> (~(c3_1 (a647))) -> (~(c0_1 (a647))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H175 zenon_H112 zenon_H176 zenon_H173 zenon_Haf zenon_H25c zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H10e zenon_H149 zenon_H43 zenon_H3f zenon_Hbf zenon_Hbe zenon_Hbd zenon_H1df zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H210 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H138 zenon_H137 zenon_H136 zenon_H198 zenon_H24 zenon_H69. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L734_); trivial. % 0.95/1.09 apply (zenon_L707_); trivial. % 0.95/1.09 (* end of lemma zenon_L735_ *) % 0.95/1.09 assert (zenon_L736_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> (~(hskp11)) -> (c3_1 (a652)) -> (c0_1 (a652)) -> (~(c2_1 (a652))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (~(c2_1 (a648))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> (c3_1 (a645)) -> (c1_1 (a645)) -> (~(c2_1 (a645))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> (ndr1_0) -> (~(c0_1 (a647))) -> (~(c3_1 (a647))) -> (c1_1 (a647)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H17e zenon_H112 zenon_H176 zenon_H173 zenon_Haf zenon_H25c zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H10e zenon_H149 zenon_H43 zenon_H3f zenon_Hbf zenon_Hbe zenon_Hbd zenon_H1df zenon_H105 zenon_Hdf zenon_Hde zenon_Hdd zenon_H210 zenon_H1fd zenon_H1fc zenon_H1fb zenon_H198 zenon_H24 zenon_H69 zenon_H12 zenon_H136 zenon_H137 zenon_H138 zenon_H13f zenon_H143. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_L735_); trivial. % 0.95/1.09 (* end of lemma zenon_L736_ *) % 0.95/1.09 assert (zenon_L737_ : ((ndr1_0)/\((c1_1 (a647))/\((~(c0_1 (a647)))/\(~(c3_1 (a647)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a648))/\((~(c2_1 (a648)))/\(~(c3_1 (a648))))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a651))/\((~(c0_1 (a651)))/\(~(c1_1 (a651))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a652))/\((c3_1 (a652))/\(~(c2_1 (a652))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((~(c1_1 X27))\/(~(c3_1 X27))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a691)))/\((~(c1_1 (a691)))/\(~(c3_1 (a691))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a693))/\((c3_1 (a693))/\(~(c0_1 (a693))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp20)\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c3_1 X9))))))\/((hskp11)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c3_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp7))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13))))))\/(hskp11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (~(hskp2)) -> ((hskp18)\/((hskp2)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a676))/\((c1_1 (a676))/\(~(c2_1 (a676))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a657))/\((c2_1 (a657))/\(~(c3_1 (a657))))))) -> (~(c2_1 (a645))) -> (c1_1 (a645)) -> (c3_1 (a645)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp6))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H212 zenon_H213 zenon_H308 zenon_H1b5 zenon_H210 zenon_H122 zenon_H69 zenon_H24 zenon_H198 zenon_H1df zenon_H33 zenon_H43 zenon_H52 zenon_H56 zenon_H6c zenon_H77 zenon_H79 zenon_H1a9 zenon_H143 zenon_H304 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H112 zenon_H176 zenon_H173 zenon_H105 zenon_Haf zenon_H25c zenon_H232 zenon_H10e zenon_H149 zenon_H9 zenon_H306 zenon_H282 zenon_H23e zenon_Hb9 zenon_H17e zenon_H111 zenon_H1fb zenon_H1fc zenon_H1fd zenon_H206. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_L187_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_L714_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.95/1.09 apply (zenon_L708_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_L625_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L731_); trivial. % 0.95/1.09 apply (zenon_L707_); trivial. % 0.95/1.09 apply (zenon_L733_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 apply (zenon_L124_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L736_); trivial. % 0.95/1.09 apply (zenon_L124_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 (* end of lemma zenon_L737_ *) % 0.95/1.09 assert (zenon_L738_ : ((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H51 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H2fd zenon_H2fc zenon_H2fb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.95/1.09 apply (zenon_L624_); trivial. % 0.95/1.09 apply (zenon_L22_); trivial. % 0.95/1.09 (* end of lemma zenon_L738_ *) % 0.95/1.09 assert (zenon_L739_ : ((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H68 zenon_H56 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H21a zenon_H21b zenon_H219 zenon_H31 zenon_H33. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.95/1.09 apply (zenon_L17_); trivial. % 0.95/1.09 apply (zenon_L738_); trivial. % 0.95/1.09 (* end of lemma zenon_L739_ *) % 0.95/1.09 assert (zenon_L740_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H6c zenon_H56 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H31 zenon_H33 zenon_H12 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H5 zenon_H122. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_L625_); trivial. % 0.95/1.09 apply (zenon_L739_); trivial. % 0.95/1.09 (* end of lemma zenon_L740_ *) % 0.95/1.09 assert (zenon_L741_ : ((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H104 zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H2fd zenon_H2fc zenon_H2fb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H106. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hfb. zenon_intro zenon_H107. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_Hfc. zenon_intro zenon_Hfd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.95/1.09 apply (zenon_L624_); trivial. % 0.95/1.09 apply (zenon_L63_); trivial. % 0.95/1.09 (* end of lemma zenon_L741_ *) % 0.95/1.09 assert (zenon_L742_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H109 zenon_H10a zenon_H25c zenon_H2fd zenon_H2fc zenon_H2fb zenon_H21a zenon_H21b zenon_H219 zenon_Hea zenon_Hee. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.95/1.09 apply (zenon_L62_); trivial. % 0.95/1.09 apply (zenon_L741_); trivial. % 0.95/1.09 (* end of lemma zenon_L742_ *) % 0.95/1.09 assert (zenon_L743_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H112 zenon_H10a zenon_H25c zenon_H2fd zenon_H2fc zenon_H2fb zenon_H21a zenon_H21b zenon_H219 zenon_Hea zenon_Hee zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L408_); trivial. % 0.95/1.09 apply (zenon_L742_); trivial. % 0.95/1.09 (* end of lemma zenon_L743_ *) % 0.95/1.09 assert (zenon_L744_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hb9 zenon_H112 zenon_H10a zenon_H25c zenon_Hea zenon_Hee zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H33 zenon_H31 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H56 zenon_H6c. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L740_); trivial. % 0.95/1.09 apply (zenon_L743_); trivial. % 0.95/1.09 (* end of lemma zenon_L744_ *) % 0.95/1.09 assert (zenon_L745_ : ((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H7a zenon_H10a zenon_H25c zenon_H2fd zenon_H2fc zenon_H2fb zenon_H21a zenon_H21b zenon_H219 zenon_Hb5 zenon_H1f8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.95/1.09 apply (zenon_L181_); trivial. % 0.95/1.09 apply (zenon_L741_); trivial. % 0.95/1.09 (* end of lemma zenon_L745_ *) % 0.95/1.09 assert (zenon_L746_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> ((forall X83 : zenon_U, ((ndr1_0)->((c3_1 X83)\/((~(c1_1 X83))\/(~(c2_1 X83))))))\/((hskp10)\/(hskp29))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H79 zenon_H1f8 zenon_H6c zenon_H56 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H33 zenon_H12 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_Hb7 zenon_Hb5 zenon_H13f zenon_H29d zenon_Hee zenon_Hea zenon_H25c zenon_H10a zenon_H112 zenon_Hb9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L744_); trivial. % 0.95/1.09 apply (zenon_L745_); trivial. % 0.95/1.09 (* end of lemma zenon_L746_ *) % 0.95/1.09 assert (zenon_L747_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H56 zenon_H232 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H21a zenon_H21b zenon_H219 zenon_H33 zenon_H31 zenon_H186 zenon_H185 zenon_H187 zenon_H10e zenon_Hb5 zenon_Hb7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.95/1.09 apply (zenon_L414_); trivial. % 0.95/1.09 apply (zenon_L738_); trivial. % 0.95/1.09 (* end of lemma zenon_L747_ *) % 0.95/1.09 assert (zenon_L748_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> (~(c2_1 (a660))) -> (~(c1_1 (a660))) -> (c0_1 (a660)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hb9 zenon_H186 zenon_H185 zenon_H187 zenon_H10e zenon_Hb5 zenon_Hb7 zenon_H122 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H33 zenon_H31 zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H56 zenon_H6c. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L740_); trivial. % 0.95/1.09 apply (zenon_L747_); trivial. % 0.95/1.09 (* end of lemma zenon_L748_ *) % 0.95/1.09 assert (zenon_L749_ : ((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a672))/\((~(c2_1 (a672)))/\(~(c3_1 (a672))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a688))/\((c2_1 (a688))/\(c3_1 (a688)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp29)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a682))/\((~(c1_1 (a682)))/\(~(c2_1 (a682))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a671))/\((c1_1 (a671))/\(c2_1 (a671)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c1_1 X20)\/((c2_1 X20)\/(~(c3_1 X20))))))\/((hskp28)\/(hskp16))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/((hskp17)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((c3_1 X66)\/(~(c0_1 X66))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H1a6 zenon_H79 zenon_H10a zenon_H25c zenon_H1f8 zenon_H6c zenon_H56 zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H33 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H122 zenon_Hb7 zenon_Hb5 zenon_H10e zenon_Hb9. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L748_); trivial. % 0.95/1.09 apply (zenon_L745_); trivial. % 0.95/1.09 (* end of lemma zenon_L749_ *) % 0.95/1.09 assert (zenon_L750_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23)))))) -> (~(c3_1 (a686))) -> (c1_1 (a686)) -> (c2_1 (a686)) -> False). % 0.95/1.09 do 0 intro. intros zenon_H232 zenon_H21a zenon_H21b zenon_H219 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H12 zenon_H135 zenon_Hf1 zenon_Hf0 zenon_Hef. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H14b | zenon_intro zenon_H233 ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H113 | zenon_intro zenon_H45 ]. % 0.95/1.09 apply (zenon_L624_); trivial. % 0.95/1.09 apply (zenon_L244_); trivial. % 0.95/1.09 (* end of lemma zenon_L750_ *) % 0.95/1.09 assert (zenon_L751_ : ((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.95/1.09 do 0 intro. intros zenon_H109 zenon_H143 zenon_H2fb zenon_H2fc zenon_H2fd zenon_H219 zenon_H21b zenon_H21a zenon_H232 zenon_H13f zenon_H141. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H135 | zenon_intro zenon_H144 ]. % 0.95/1.09 apply (zenon_L750_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H140 | zenon_intro zenon_H142 ]. % 0.95/1.09 exact (zenon_H13f zenon_H140). % 0.95/1.09 exact (zenon_H141 zenon_H142). % 0.95/1.09 (* end of lemma zenon_L751_ *) % 0.95/1.09 assert (zenon_L752_ : ((ndr1_0)/\((c2_1 (a675))/\((~(c1_1 (a675)))/\(~(c3_1 (a675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a686))/\((c2_1 (a686))/\(~(c3_1 (a686))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> (~(c1_1 (a641))) -> (c2_1 (a641)) -> (c3_1 (a641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))\/((hskp12)\/(hskp20))) -> (~(hskp12)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(~(c2_1 W))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.95/1.09 do 0 intro. intros zenon_Hba zenon_H112 zenon_H143 zenon_H141 zenon_H219 zenon_H21b zenon_H21a zenon_H2fb zenon_H2fc zenon_H2fd zenon_H232 zenon_H29d zenon_H13f zenon_Hb5 zenon_Hb7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L408_); trivial. % 0.95/1.09 apply (zenon_L751_); trivial. % 0.95/1.09 (* end of lemma zenon_L752_ *) % 0.95/1.09 assert (zenon_L753_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a643)) -> (c1_1 (a643)) -> (~(c0_1 (a643))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a655)) -> (c2_1 (a655)) -> (c0_1 (a655)) -> (forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))) -> (ndr1_0) -> (~(c1_1 (a661))) -> (~(c3_1 (a661))) -> (c0_1 (a661)) -> False). % 0.95/1.09 do 0 intro. intros zenon_H25c zenon_H21a zenon_H21b zenon_H219 zenon_H2fd zenon_H2fc zenon_H2fb zenon_Haf zenon_H15e zenon_H15d zenon_H15c zenon_H16f zenon_H12 zenon_H153 zenon_H154 zenon_H155. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.95/1.09 apply (zenon_L624_); trivial. % 0.95/1.09 apply (zenon_L106_); trivial. % 0.95/1.09 (* end of lemma zenon_L753_ *) % 0.95/1.09 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a647))/\((~(c0_1 (a647)))/\(~(c3_1 (a647)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a660))/\((~(c1_1 (a660)))/\(~(c2_1 (a660))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((hskp12)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(hskp27))) -> (c3_1 (a641)) -> (c2_1 (a641)) -> (~(c1_1 (a641))) -> (~(c0_1 (a643))) -> (c1_1 (a643)) -> (c2_1 (a643)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c2_1 X29))\/(~(c3_1 X29))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c1_1 X13))\/((~(c2_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c0_1 X41))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c2_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c1_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c1_1 X25)\/((c2_1 X25)\/(~(c0_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a655))/\((c2_1 (a655))/\(c3_1 (a655)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a661))/\((~(c1_1 (a661)))/\(~(c3_1 (a661))))))) -> False). % 0.95/1.09 do 0 intro. intros zenon_H212 zenon_H1a9 zenon_H143 zenon_H149 zenon_H2fd zenon_H2fc zenon_H2fb zenon_H219 zenon_H21b zenon_H21a zenon_H25c zenon_Haf zenon_H173 zenon_H176 zenon_H17e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.95/1.09 apply (zenon_L698_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.95/1.09 apply (zenon_L92_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_L753_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 (* end of lemma zenon_L754_ *) % 0.95/1.09 apply NNPP. intro zenon_G. % 0.95/1.09 apply zenon_G. zenon_intro zenon_H309. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H30b. zenon_intro zenon_H30a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H313. zenon_intro zenon_H312. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H315. zenon_intro zenon_H314. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H213. zenon_intro zenon_H316. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H308. zenon_intro zenon_H317. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1b5. zenon_intro zenon_H318. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H2c6. zenon_intro zenon_H319. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H24b. zenon_intro zenon_H31a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H111. zenon_intro zenon_H31b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1a9. zenon_intro zenon_H31c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H17e. zenon_intro zenon_H31d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H8e. zenon_intro zenon_H31e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H320. zenon_intro zenon_H31f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H79. zenon_intro zenon_H321. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_Hb9. zenon_intro zenon_H322. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H23e. zenon_intro zenon_H323. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H6c. zenon_intro zenon_H324. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H112. zenon_intro zenon_H325. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H69. zenon_intro zenon_H326. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H24. zenon_intro zenon_H327. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Hdb. zenon_intro zenon_H328. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H29c. zenon_intro zenon_H329. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H32b. zenon_intro zenon_H32a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H1ed. zenon_intro zenon_H32c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H176. zenon_intro zenon_H32d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H56. zenon_intro zenon_H32e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H10a. zenon_intro zenon_H32f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H1c9. zenon_intro zenon_H330. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H198. zenon_intro zenon_H331. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1f1. zenon_intro zenon_H332. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H64. zenon_intro zenon_H333. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H2d3. zenon_intro zenon_H334. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Hb7. zenon_intro zenon_H335. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H89. zenon_intro zenon_H336. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H77. zenon_intro zenon_H337. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H234. zenon_intro zenon_H338. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H52. zenon_intro zenon_H339. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H177. zenon_intro zenon_H33a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H1e9. zenon_intro zenon_H33b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H2b0. zenon_intro zenon_H33c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H2de. zenon_intro zenon_H33d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H280. zenon_intro zenon_H33e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H173. zenon_intro zenon_H33f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H210. zenon_intro zenon_H340. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H149. zenon_intro zenon_H341. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H206. zenon_intro zenon_H342. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H143. zenon_intro zenon_H343. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_Hcd. zenon_intro zenon_H344. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H232. zenon_intro zenon_H345. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H25c. zenon_intro zenon_H346. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H348. zenon_intro zenon_H347. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H20. zenon_intro zenon_H34b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34d. zenon_intro zenon_H34c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34f. zenon_intro zenon_H34e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H351. zenon_intro zenon_H350. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H33. zenon_intro zenon_H352. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Haf. zenon_intro zenon_H353. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H253. zenon_intro zenon_H354. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H282. zenon_intro zenon_H355. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H270. zenon_intro zenon_H356. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H275. zenon_intro zenon_H357. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H304. zenon_intro zenon_H35a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H122. zenon_intro zenon_H35b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H10e. zenon_intro zenon_H35c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H105. zenon_intro zenon_H35d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1ca. zenon_intro zenon_H35e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_He8. zenon_intro zenon_H35f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H1f8. zenon_intro zenon_H360. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H43. zenon_intro zenon_H361. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H1df. zenon_intro zenon_H362. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_Hc8. zenon_intro zenon_H363. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H204. zenon_intro zenon_H364. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H287. zenon_intro zenon_H365. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H2d7. zenon_intro zenon_H366. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H23f. zenon_intro zenon_H367. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H29d. zenon_intro zenon_H368. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H369. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_Hee. zenon_intro zenon_H36b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H36d. zenon_intro zenon_H36c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H183. zenon_intro zenon_H36e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H306. zenon_intro zenon_H36f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H7. zenon_intro zenon_H370. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_Hf. zenon_intro zenon_H371. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H61 | zenon_intro zenon_H372 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H1 | zenon_intro zenon_H373 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H9 | zenon_intro zenon_H374 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_Hca | zenon_intro zenon_H375 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L40_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.95/1.09 apply (zenon_L50_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_L56_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L67_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L35_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L77_); trivial. % 0.95/1.09 apply (zenon_L83_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L86_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_L91_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L85_); trivial. % 0.95/1.09 apply (zenon_L90_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L109_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L110_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.95/1.09 apply (zenon_L113_); trivial. % 0.95/1.09 apply (zenon_L119_); trivial. % 0.95/1.09 apply (zenon_L83_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L86_); trivial. % 0.95/1.09 apply (zenon_L131_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L160_); trivial. % 0.95/1.09 apply (zenon_L171_); trivial. % 0.95/1.09 apply (zenon_L39_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L176_); trivial. % 0.95/1.09 apply (zenon_L171_); trivial. % 0.95/1.09 apply (zenon_L39_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L177_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L160_); trivial. % 0.95/1.09 apply (zenon_L83_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L178_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L177_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H379. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1fc. zenon_intro zenon_H37a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1fd. zenon_intro zenon_H1fb. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_L180_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L67_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L186_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L86_); trivial. % 0.95/1.09 apply (zenon_L192_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L196_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L176_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L177_); trivial. % 0.95/1.09 apply (zenon_L192_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H12. zenon_intro zenon_H37b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H21b. zenon_intro zenon_H37c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_Hca | zenon_intro zenon_H375 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L210_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L214_); trivial. % 0.95/1.09 apply (zenon_L209_); trivial. % 0.95/1.09 apply (zenon_L216_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L222_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.95/1.09 apply (zenon_L198_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_L223_); trivial. % 0.95/1.09 apply (zenon_L219_); trivial. % 0.95/1.09 apply (zenon_L221_); trivial. % 0.95/1.09 apply (zenon_L224_); trivial. % 0.95/1.09 apply (zenon_L225_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.95/1.09 apply (zenon_L113_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.95/1.09 apply (zenon_L92_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H135 | zenon_intro zenon_H207 ]. % 0.95/1.09 apply (zenon_L92_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1fa | zenon_intro zenon_H88 ]. % 0.95/1.09 apply (zenon_L212_); trivial. % 0.95/1.09 exact (zenon_H87 zenon_H88). % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hec | zenon_intro zenon_H104 ]. % 0.95/1.09 apply (zenon_L239_); trivial. % 0.95/1.09 apply (zenon_L219_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L240_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L196_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_L74_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L159_); trivial. % 0.95/1.09 apply (zenon_L254_); trivial. % 0.95/1.09 apply (zenon_L257_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L262_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_L74_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L159_); trivial. % 0.95/1.09 apply (zenon_L263_); trivial. % 0.95/1.09 apply (zenon_L257_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L225_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_L269_); trivial. % 0.95/1.09 apply (zenon_L225_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.95/1.09 apply (zenon_L271_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H15. zenon_intro zenon_H22. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H14. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.95/1.09 apply (zenon_L270_); trivial. % 0.95/1.09 apply (zenon_L146_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hb | zenon_intro zenon_H1f ]. % 0.95/1.09 apply (zenon_L271_); trivial. % 0.95/1.09 apply (zenon_L147_); trivial. % 0.95/1.09 apply (zenon_L154_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H379. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1fc. zenon_intro zenon_H37a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1fd. zenon_intro zenon_H1fb. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L273_); trivial. % 0.95/1.09 apply (zenon_L274_); trivial. % 0.95/1.09 apply (zenon_L284_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_L293_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_L298_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L159_); trivial. % 0.95/1.09 apply (zenon_L302_); trivial. % 0.95/1.09 apply (zenon_L184_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L305_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_L293_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H12. zenon_intro zenon_H37d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H268. zenon_intro zenon_H37e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H269. zenon_intro zenon_H267. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H9 | zenon_intro zenon_H374 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_Hca | zenon_intro zenon_H375 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L40_); trivial. % 0.95/1.09 apply (zenon_L311_); trivial. % 0.95/1.09 apply (zenon_L225_); trivial. % 0.95/1.09 apply (zenon_L329_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L40_); trivial. % 0.95/1.09 apply (zenon_L342_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L85_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L335_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.95/1.09 apply (zenon_L336_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_H12. zenon_intro zenon_H19b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H190. zenon_intro zenon_H19c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H191. zenon_intro zenon_H18f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L343_); trivial. % 0.95/1.09 apply (zenon_L339_); trivial. % 0.95/1.09 apply (zenon_L39_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L351_); trivial. % 0.95/1.09 apply (zenon_L358_); trivial. % 0.95/1.09 apply (zenon_L360_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L109_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L110_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H12. zenon_intro zenon_H8c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H17f | zenon_intro zenon_H19a ]. % 0.95/1.09 apply (zenon_L336_); trivial. % 0.95/1.09 apply (zenon_L119_); trivial. % 0.95/1.09 apply (zenon_L83_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L86_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L374_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L375_); trivial. % 0.95/1.09 apply (zenon_L170_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L177_); trivial. % 0.95/1.09 apply (zenon_L378_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L315_); trivial. % 0.95/1.09 apply (zenon_L175_); trivial. % 0.95/1.09 apply (zenon_L83_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L177_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H379. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1fc. zenon_intro zenon_H37a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1fd. zenon_intro zenon_H1fb. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L383_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L384_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L399_); trivial. % 0.95/1.09 apply (zenon_L39_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L383_); trivial. % 0.95/1.09 apply (zenon_L430_); trivial. % 0.95/1.09 apply (zenon_L329_); trivial. % 0.95/1.09 apply (zenon_L192_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L447_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L444_); trivial. % 0.95/1.09 apply (zenon_L453_); trivial. % 0.95/1.09 apply (zenon_L184_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L461_); trivial. % 0.95/1.09 apply (zenon_L476_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L318_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L328_); trivial. % 0.95/1.09 apply (zenon_L192_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H12. zenon_intro zenon_H37b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H21b. zenon_intro zenon_H37c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_Hca | zenon_intro zenon_H375 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L478_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L331_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L408_); trivial. % 0.95/1.09 apply (zenon_L486_); trivial. % 0.95/1.09 apply (zenon_L477_); trivial. % 0.95/1.09 apply (zenon_L487_); trivial. % 0.95/1.09 apply (zenon_L490_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L478_); trivial. % 0.95/1.09 apply (zenon_L491_); trivial. % 0.95/1.09 apply (zenon_L487_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L492_); trivial. % 0.95/1.09 apply (zenon_L487_); trivial. % 0.95/1.09 apply (zenon_L495_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_L496_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H12. zenon_intro zenon_H10f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_Ha7. zenon_intro zenon_H110. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_Ha8. zenon_intro zenon_Ha6. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L512_); trivial. % 0.95/1.09 apply (zenon_L516_); trivial. % 0.95/1.09 apply (zenon_L519_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.95/1.09 apply (zenon_L520_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H15c. zenon_intro zenon_H17c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H135 | zenon_intro zenon_H174 ]. % 0.95/1.09 apply (zenon_L92_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H14b | zenon_intro zenon_H16f ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H14b | zenon_intro zenon_H25d ]. % 0.95/1.09 apply (zenon_L202_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H113 | zenon_intro zenon_Hfa ]. % 0.95/1.09 apply (zenon_L479_); trivial. % 0.95/1.09 apply (zenon_L106_); trivial. % 0.95/1.09 apply (zenon_L485_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L522_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L351_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_L528_); trivial. % 0.95/1.09 apply (zenon_L531_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_L240_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L535_); trivial. % 0.95/1.09 apply (zenon_L154_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L537_); trivial. % 0.95/1.09 apply (zenon_L154_); trivial. % 0.95/1.09 apply (zenon_L257_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L535_); trivial. % 0.95/1.09 apply (zenon_L540_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L537_); trivial. % 0.95/1.09 apply (zenon_L254_); trivial. % 0.95/1.09 apply (zenon_L494_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L491_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L535_); trivial. % 0.95/1.09 apply (zenon_L263_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L537_); trivial. % 0.95/1.09 apply (zenon_L263_); trivial. % 0.95/1.09 apply (zenon_L494_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L545_); trivial. % 0.95/1.09 apply (zenon_L548_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L544_); trivial. % 0.95/1.09 apply (zenon_L551_); trivial. % 0.95/1.09 apply (zenon_L257_); trivial. % 0.95/1.09 apply (zenon_L552_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L544_); trivial. % 0.95/1.09 apply (zenon_L553_); trivial. % 0.95/1.09 apply (zenon_L459_); trivial. % 0.95/1.09 apply (zenon_L460_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L554_); trivial. % 0.95/1.09 apply (zenon_L548_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L554_); trivial. % 0.95/1.09 apply (zenon_L556_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L463_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L53_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.95/1.09 apply (zenon_L558_); trivial. % 0.95/1.09 apply (zenon_L539_); trivial. % 0.95/1.09 apply (zenon_L560_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L463_); trivial. % 0.95/1.09 apply (zenon_L565_); trivial. % 0.95/1.09 apply (zenon_L494_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L566_); trivial. % 0.95/1.09 apply (zenon_L567_); trivial. % 0.95/1.09 apply (zenon_L548_); trivial. % 0.95/1.09 apply (zenon_L569_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L473_); trivial. % 0.95/1.09 apply (zenon_L553_); trivial. % 0.95/1.09 apply (zenon_L560_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L566_); trivial. % 0.95/1.09 apply (zenon_L570_); trivial. % 0.95/1.09 apply (zenon_L459_); trivial. % 0.95/1.09 apply (zenon_L460_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_L572_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L573_); trivial. % 0.95/1.09 apply (zenon_L548_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L573_); trivial. % 0.95/1.09 apply (zenon_L556_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L463_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_L84_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L53_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.95/1.09 apply (zenon_L559_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.95/1.09 apply (zenon_L574_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.95/1.09 apply (zenon_L499_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.95/1.09 apply (zenon_L524_); trivial. % 0.95/1.09 exact (zenon_H147 zenon_H148). % 0.95/1.09 exact (zenon_Hb5 zenon_Hb6). % 0.95/1.09 apply (zenon_L557_); trivial. % 0.95/1.09 apply (zenon_L576_); trivial. % 0.95/1.09 apply (zenon_L494_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L463_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_L84_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L53_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H2f | zenon_intro zenon_H51 ]. % 0.95/1.09 apply (zenon_L307_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H12. zenon_intro zenon_H53. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H7d | zenon_intro zenon_Hb8 ]. % 0.95/1.09 apply (zenon_L577_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hb6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H277 | zenon_intro zenon_H2df ]. % 0.95/1.09 apply (zenon_L499_); trivial. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H25 | zenon_intro zenon_H148 ]. % 0.95/1.09 apply (zenon_L562_); trivial. % 0.95/1.09 exact (zenon_H147 zenon_H148). % 0.95/1.09 exact (zenon_Hb5 zenon_Hb6). % 0.95/1.09 apply (zenon_L557_); trivial. % 0.95/1.09 apply (zenon_L578_); trivial. % 0.95/1.09 apply (zenon_L494_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L579_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H41 | zenon_intro zenon_H63 ]. % 0.95/1.09 apply (zenon_L84_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H12. zenon_intro zenon_H65. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H58. zenon_intro zenon_H66. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H59. zenon_intro zenon_H5a. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L53_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hd2. zenon_intro zenon_Hd1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1e8 ]. % 0.95/1.09 apply (zenon_L454_); trivial. % 0.95/1.09 apply (zenon_L576_); trivial. % 0.95/1.09 apply (zenon_L459_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L473_); trivial. % 0.95/1.09 apply (zenon_L580_); trivial. % 0.95/1.09 apply (zenon_L459_); trivial. % 0.95/1.09 apply (zenon_L460_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L581_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L331_); trivial. % 0.95/1.09 apply (zenon_L586_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_L588_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L589_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L331_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L585_); trivial. % 0.95/1.09 apply (zenon_L555_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L596_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L598_); trivial. % 0.95/1.09 apply (zenon_L603_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_L588_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L376_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L344_); trivial. % 0.95/1.09 apply (zenon_L604_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_L605_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L607_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H147 | zenon_intro zenon_H17a ]. % 0.95/1.09 apply (zenon_L525_); trivial. % 0.95/1.09 apply (zenon_L597_); trivial. % 0.95/1.09 apply (zenon_L604_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H12. zenon_intro zenon_H2ea. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2e2. zenon_intro zenon_H2eb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H2e0. zenon_intro zenon_H2e1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L596_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L598_); trivial. % 0.95/1.09 apply (zenon_L604_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H12. zenon_intro zenon_H2bc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2b4. zenon_intro zenon_H2bd. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_L579_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L614_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L331_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_H12. zenon_intro zenon_Hbb. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbb). zenon_intro zenon_H9c. zenon_intro zenon_Hbc. % 0.95/1.09 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H90. zenon_intro zenon_H91. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L585_); trivial. % 0.95/1.09 apply (zenon_L65_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L66_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_L588_); trivial. % 0.95/1.09 apply (zenon_L616_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_L617_); trivial. % 0.95/1.09 apply (zenon_L619_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_L95_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L615_); trivial. % 0.95/1.09 apply (zenon_L359_); trivial. % 0.95/1.09 apply (zenon_L238_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L272_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H379. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1fc. zenon_intro zenon_H37a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1fd. zenon_intro zenon_H1fb. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H1d | zenon_intro zenon_H376 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H3 | zenon_intro zenon_H8b ]. % 0.95/1.09 apply (zenon_L273_); trivial. % 0.95/1.09 apply (zenon_L477_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_L293_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H12. zenon_intro zenon_H377. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1c2. zenon_intro zenon_H378. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H1b8. zenon_intro zenon_H1b9. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2bb ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_L447_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_Hd | zenon_intro zenon_H68 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L442_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L448_); trivial. % 0.95/1.09 apply (zenon_L621_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H28. zenon_intro zenon_H6b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_He6 | zenon_intro zenon_H109 ]. % 0.95/1.09 apply (zenon_L443_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H12. zenon_intro zenon_H10b. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hf0. zenon_intro zenon_H10c. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hef. zenon_intro zenon_Hf1. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcc ]. % 0.95/1.09 apply (zenon_L452_); trivial. % 0.95/1.09 apply (zenon_L621_); trivial. % 0.95/1.09 apply (zenon_L453_); trivial. % 0.95/1.09 apply (zenon_L195_); trivial. % 0.95/1.09 apply (zenon_L174_); trivial. % 0.95/1.09 apply (zenon_L461_); trivial. % 0.95/1.09 apply (zenon_L623_); trivial. % 0.95/1.09 apply (zenon_L237_); trivial. % 0.95/1.09 apply (zenon_L293_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H12. zenon_intro zenon_H37f. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H2fc. zenon_intro zenon_H380. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H2fd. zenon_intro zenon_H2fb. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H9 | zenon_intro zenon_H374 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_Hca | zenon_intro zenon_H375 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L629_); trivial. % 0.95/1.09 apply (zenon_L633_); trivial. % 0.95/1.09 apply (zenon_L639_); trivial. % 0.95/1.09 apply (zenon_L653_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H12. zenon_intro zenon_H1a7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H187. zenon_intro zenon_H1a8. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L659_); trivial. % 0.95/1.09 apply (zenon_L664_); trivial. % 0.95/1.09 apply (zenon_L665_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_L671_); trivial. % 0.95/1.09 apply (zenon_L639_); trivial. % 0.95/1.09 apply (zenon_L682_); trivial. % 0.95/1.09 apply (zenon_L653_); trivial. % 0.95/1.09 apply (zenon_L685_); trivial. % 0.95/1.09 apply (zenon_L665_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H12. zenon_intro zenon_H1b6. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_H19f. zenon_intro zenon_H1b7. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L629_); trivial. % 0.95/1.09 apply (zenon_L686_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L629_); trivial. % 0.95/1.09 apply (zenon_L687_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.09 apply (zenon_L666_); trivial. % 0.95/1.09 apply (zenon_L686_); trivial. % 0.95/1.09 apply (zenon_L352_); trivial. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.09 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H3f | zenon_intro zenon_H10d ]. % 0.95/1.09 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2e9 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.10 apply (zenon_L671_); trivial. % 0.95/1.10 apply (zenon_L352_); trivial. % 0.95/1.10 apply (zenon_L688_); trivial. % 0.95/1.10 apply (zenon_L691_); trivial. % 0.95/1.10 apply (zenon_L697_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H12. zenon_intro zenon_H214. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H138. zenon_intro zenon_H215. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.10 apply (zenon_L705_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H12. zenon_intro zenon_H217. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_Hdf. zenon_intro zenon_H218. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.10 apply (zenon_L714_); trivial. % 0.95/1.10 apply (zenon_L704_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H12. zenon_intro zenon_H379. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H1fc. zenon_intro zenon_H37a. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H1fd. zenon_intro zenon_H1fb. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H87 | zenon_intro zenon_H216 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b4 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H4f | zenon_intro zenon_H130 ]. % 0.95/1.10 apply (zenon_L724_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_H12. zenon_intro zenon_H131. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_Hbe. zenon_intro zenon_H132. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H132). zenon_intro zenon_Hbf. zenon_intro zenon_Hbd. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.10 apply (zenon_L726_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H12. zenon_intro zenon_H7b. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H70. zenon_intro zenon_H7c. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H6e. zenon_intro zenon_H6f. % 0.95/1.10 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.10 apply (zenon_L634_); trivial. % 0.95/1.10 apply (zenon_L727_); trivial. % 0.95/1.10 apply (zenon_L685_); trivial. % 0.95/1.10 apply (zenon_L729_); trivial. % 0.95/1.10 apply (zenon_L697_); trivial. % 0.95/1.10 apply (zenon_L737_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H12. zenon_intro zenon_H37b. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H21b. zenon_intro zenon_H37c. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H212 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hea | zenon_intro zenon_H24c ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.10 apply (zenon_L746_); trivial. % 0.95/1.10 apply (zenon_L749_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H12. zenon_intro zenon_H24d. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H11d. zenon_intro zenon_H24e. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H1a6 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H141 | zenon_intro zenon_H175 ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.10 apply (zenon_L740_); trivial. % 0.95/1.10 apply (zenon_L752_); trivial. % 0.95/1.10 apply (zenon_L745_); trivial. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H178. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H155. zenon_intro zenon_H179. % 0.95/1.10 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H153. zenon_intro zenon_H154. % 0.95/1.10 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H31 | zenon_intro zenon_H7a ]. % 0.95/1.10 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H5 | zenon_intro zenon_Hba ]. % 0.95/1.10 apply (zenon_L740_); trivial. % 0.95/1.10 apply (zenon_L261_); trivial. % 0.95/1.10 apply (zenon_L745_); trivial. % 0.95/1.10 apply (zenon_L749_); trivial. % 0.95/1.10 apply (zenon_L754_); trivial. % 0.95/1.10 Qed. % 0.95/1.10 % SZS output end Proof % 0.95/1.10 (* END-PROOF *) % 0.95/1.10 nodes searched: 39609 % 0.95/1.10 max branch formulas: 445 % 0.95/1.10 proof nodes created: 6691 % 0.95/1.10 formulas created: 36612 % 0.95/1.10 %------------------------------------------------------------------------------