%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN443+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 13:52:34 EDT 2022 % Result : Theorem 0.69s 0.87s % Output : Proof 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN443+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 20:43:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.69/0.87 (* PROOF-FOUND *) % 0.69/0.87 % SZS status Theorem % 0.69/0.87 (* BEGIN-PROOF *) % 0.69/0.87 % SZS output start Proof % 0.69/0.87 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a1))/\((c2_1 (a1))/\(~(c0_1 (a1)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a2))/\((c3_1 (a2))/\(~(c2_1 (a2)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a3))/\((c2_1 (a3))/\(~(c1_1 (a3)))))))/\(((~(hskp3))\/((ndr1_0)/\((c3_1 (a4))/\((~(c0_1 (a4)))/\(~(c1_1 (a4)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a5))/\((c3_1 (a5))/\(~(c1_1 (a5)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a6))/\((c2_1 (a6))/\(~(c3_1 (a6)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a8))/\((~(c2_1 (a8)))/\(~(c3_1 (a8)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))))/\(((~(hskp9))\/((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a21))/\((~(c1_1 (a21)))/\(~(c3_1 (a21)))))))/\(((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a26)))/\((~(c1_1 (a26)))/\(~(c2_1 (a26)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c0_1 (a42)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a52))/\((~(c1_1 (a52)))/\(~(c2_1 (a52)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c0_1 X1))))))\/(forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp9)\/(hskp3)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp12)\/(hskp13)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp29)\/(hskp14)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp15)\/(hskp4)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp1)\/(hskp19)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c0_1 X1))))))\/((hskp29)\/(hskp20)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c0_1 X1))))))\/((hskp1)\/(hskp13)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c2_1 X1)\/(~(c0_1 X1))))))\/((hskp0)\/(hskp21)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp13)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp2)\/(hskp23)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((hskp2)\/(hskp4)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19)))/\(((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c1_1 X75))\/(~(c3_1 X75))))))\/((hskp18)\/(hskp14)))/\(((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25)))/\(((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))))/\(((hskp28)\/((hskp1)\/(hskp9)))/\(((hskp28)\/((hskp7)\/(hskp9)))/\(((hskp15)\/((hskp2)\/(hskp25)))/\(((hskp11)\/((hskp20)\/(hskp7)))/\(((hskp11)\/(hskp22))/\(((hskp30)\/((hskp2)\/(hskp18)))/\(((hskp30)\/((hskp27)\/(hskp7)))/\(((hskp30)\/((hskp27)\/(hskp17)))/\(((hskp2)\/((hskp24)\/(hskp23)))/\((hskp7)\/((hskp26)\/(hskp18)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.69/0.87 Proof. % 0.69/0.87 assert (zenon_L1_ : (~(hskp11)) -> (hskp11) -> False). % 0.69/0.87 do 0 intro. intros zenon_H1 zenon_H2. % 0.69/0.87 exact (zenon_H1 zenon_H2). % 0.69/0.87 (* end of lemma zenon_L1_ *) % 0.69/0.87 assert (zenon_L2_ : (~(hskp20)) -> (hskp20) -> False). % 0.69/0.87 do 0 intro. intros zenon_H3 zenon_H4. % 0.69/0.87 exact (zenon_H3 zenon_H4). % 0.69/0.87 (* end of lemma zenon_L2_ *) % 0.69/0.87 assert (zenon_L3_ : (~(hskp7)) -> (hskp7) -> False). % 0.69/0.87 do 0 intro. intros zenon_H5 zenon_H6. % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 (* end of lemma zenon_L3_ *) % 0.69/0.87 assert (zenon_L4_ : ((hskp11)\/((hskp20)\/(hskp7))) -> (~(hskp11)) -> (~(hskp20)) -> (~(hskp7)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.69/0.87 exact (zenon_H1 zenon_H2). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.69/0.87 exact (zenon_H3 zenon_H4). % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 (* end of lemma zenon_L4_ *) % 0.69/0.87 assert (zenon_L5_ : (~(hskp18)) -> (hskp18) -> False). % 0.69/0.87 do 0 intro. intros zenon_H9 zenon_Ha. % 0.69/0.87 exact (zenon_H9 zenon_Ha). % 0.69/0.87 (* end of lemma zenon_L5_ *) % 0.69/0.87 assert (zenon_L6_ : ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> (~(hskp26)) -> (~(hskp18)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hb zenon_H5 zenon_Hc zenon_H9. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_H6 | zenon_intro zenon_Hd ]. % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_He | zenon_intro zenon_Ha ]. % 0.69/0.87 exact (zenon_Hc zenon_He). % 0.69/0.87 exact (zenon_H9 zenon_Ha). % 0.69/0.87 (* end of lemma zenon_L6_ *) % 0.69/0.87 assert (zenon_L7_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hf zenon_H10. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 (* end of lemma zenon_L7_ *) % 0.69/0.87 assert (zenon_L8_ : (~(hskp27)) -> (hskp27) -> False). % 0.69/0.87 do 0 intro. intros zenon_H11 zenon_H12. % 0.69/0.87 exact (zenon_H11 zenon_H12). % 0.69/0.87 (* end of lemma zenon_L8_ *) % 0.69/0.87 assert (zenon_L9_ : (~(hskp25)) -> (hskp25) -> False). % 0.69/0.87 do 0 intro. intros zenon_H13 zenon_H14. % 0.69/0.87 exact (zenon_H13 zenon_H14). % 0.69/0.87 (* end of lemma zenon_L9_ *) % 0.69/0.87 assert (zenon_L10_ : ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a92)) -> (~(c0_1 (a92))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a92))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp25)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H15 zenon_H16 zenon_H17 zenon_H18 zenon_H19 zenon_H10 zenon_H11 zenon_H13. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.69/0.87 generalize (zenon_H1b (a92)). zenon_intro zenon_H1c. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ]. % 0.69/0.87 exact (zenon_H19 zenon_H1f). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.69/0.87 generalize (zenon_H18 (a92)). zenon_intro zenon_H22. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_Hf | zenon_intro zenon_H23 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.69/0.87 exact (zenon_H17 zenon_H25). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H1f ]. % 0.69/0.87 exact (zenon_H21 zenon_H26). % 0.69/0.87 exact (zenon_H19 zenon_H1f). % 0.69/0.87 exact (zenon_H20 zenon_H16). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.69/0.87 exact (zenon_H11 zenon_H12). % 0.69/0.87 exact (zenon_H13 zenon_H14). % 0.69/0.87 (* end of lemma zenon_L10_ *) % 0.69/0.87 assert (zenon_L11_ : (~(hskp4)) -> (hskp4) -> False). % 0.69/0.87 do 0 intro. intros zenon_H27 zenon_H28. % 0.69/0.87 exact (zenon_H27 zenon_H28). % 0.69/0.87 (* end of lemma zenon_L11_ *) % 0.69/0.87 assert (zenon_L12_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (ndr1_0) -> (~(c3_1 (a92))) -> (~(c0_1 (a92))) -> (c2_1 (a92)) -> (~(hskp27)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H29 zenon_H27 zenon_H10 zenon_H19 zenon_H17 zenon_H16 zenon_H11 zenon_H13 zenon_H15. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.69/0.87 apply (zenon_L10_); trivial. % 0.69/0.87 exact (zenon_H27 zenon_H28). % 0.69/0.87 (* end of lemma zenon_L12_ *) % 0.69/0.87 assert (zenon_L13_ : (~(hskp30)) -> (hskp30) -> False). % 0.69/0.87 do 0 intro. intros zenon_H2a zenon_H2b. % 0.69/0.87 exact (zenon_H2a zenon_H2b). % 0.69/0.87 (* end of lemma zenon_L13_ *) % 0.69/0.87 assert (zenon_L14_ : (~(hskp2)) -> (hskp2) -> False). % 0.69/0.87 do 0 intro. intros zenon_H2c zenon_H2d. % 0.69/0.87 exact (zenon_H2c zenon_H2d). % 0.69/0.87 (* end of lemma zenon_L14_ *) % 0.69/0.87 assert (zenon_L15_ : ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp30)) -> (~(hskp2)) -> (~(hskp18)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H2e zenon_H2a zenon_H2c zenon_H9. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f ]. % 0.69/0.87 exact (zenon_H2a zenon_H2b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H2d | zenon_intro zenon_Ha ]. % 0.69/0.87 exact (zenon_H2c zenon_H2d). % 0.69/0.87 exact (zenon_H9 zenon_Ha). % 0.69/0.87 (* end of lemma zenon_L15_ *) % 0.69/0.87 assert (zenon_L16_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a10))) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H30 zenon_H10 zenon_H31 zenon_H32 zenon_H33. % 0.69/0.87 generalize (zenon_H30 (a10)). zenon_intro zenon_H34. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_Hf | zenon_intro zenon_H35 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.69/0.87 exact (zenon_H31 zenon_H37). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.69/0.87 exact (zenon_H39 zenon_H32). % 0.69/0.87 exact (zenon_H38 zenon_H33). % 0.69/0.87 (* end of lemma zenon_L16_ *) % 0.69/0.87 assert (zenon_L17_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a10)) -> (c3_1 (a10)) -> (c1_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H3a zenon_H10 zenon_H30 zenon_H32 zenon_H33 zenon_H3b. % 0.69/0.87 generalize (zenon_H3a (a10)). zenon_intro zenon_H3c. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_Hf | zenon_intro zenon_H3d ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3e ]. % 0.69/0.87 apply (zenon_L16_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H39 ]. % 0.69/0.87 exact (zenon_H3f zenon_H3b). % 0.69/0.87 exact (zenon_H39 zenon_H32). % 0.69/0.87 (* end of lemma zenon_L17_ *) % 0.69/0.87 assert (zenon_L18_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a10)) -> (c3_1 (a10)) -> (c1_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H40 zenon_H10 zenon_H30 zenon_H32 zenon_H33 zenon_H3b. % 0.69/0.87 generalize (zenon_H40 (a10)). zenon_intro zenon_H41. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_Hf | zenon_intro zenon_H42 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H31 | zenon_intro zenon_H43 ]. % 0.69/0.87 apply (zenon_L16_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H3f | zenon_intro zenon_H38 ]. % 0.69/0.87 exact (zenon_H3f zenon_H3b). % 0.69/0.87 exact (zenon_H38 zenon_H33). % 0.69/0.87 (* end of lemma zenon_L18_ *) % 0.69/0.87 assert (zenon_L19_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (c1_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H44 zenon_H10 zenon_H3b zenon_H32 zenon_H33. % 0.69/0.87 generalize (zenon_H44 (a10)). zenon_intro zenon_H45. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_Hf | zenon_intro zenon_H46 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3f | zenon_intro zenon_H36 ]. % 0.69/0.87 exact (zenon_H3f zenon_H3b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.69/0.87 exact (zenon_H39 zenon_H32). % 0.69/0.87 exact (zenon_H38 zenon_H33). % 0.69/0.87 (* end of lemma zenon_L19_ *) % 0.69/0.87 assert (zenon_L20_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (c1_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H47 zenon_H30 zenon_H10 zenon_H3b zenon_H32 zenon_H33. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.87 apply (zenon_L17_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.87 apply (zenon_L18_); trivial. % 0.69/0.87 apply (zenon_L19_); trivial. % 0.69/0.87 (* end of lemma zenon_L20_ *) % 0.69/0.87 assert (zenon_L21_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a33))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H49 zenon_H10 zenon_H4a zenon_H4b zenon_H4c. % 0.69/0.87 generalize (zenon_H49 (a33)). zenon_intro zenon_H4d. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_Hf | zenon_intro zenon_H4e ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H50 | zenon_intro zenon_H4f ]. % 0.69/0.87 exact (zenon_H4a zenon_H50). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ]. % 0.69/0.87 exact (zenon_H52 zenon_H4b). % 0.69/0.87 exact (zenon_H51 zenon_H4c). % 0.69/0.87 (* end of lemma zenon_L21_ *) % 0.69/0.87 assert (zenon_L22_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (c0_1 (a33)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c2_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H3a zenon_H10 zenon_H4b zenon_H49 zenon_H4c. % 0.69/0.87 generalize (zenon_H3a (a33)). zenon_intro zenon_H53. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_Hf | zenon_intro zenon_H54 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H52 | zenon_intro zenon_H55 ]. % 0.69/0.87 exact (zenon_H52 zenon_H4b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H4a | zenon_intro zenon_H51 ]. % 0.69/0.87 apply (zenon_L21_); trivial. % 0.69/0.87 exact (zenon_H51 zenon_H4c). % 0.69/0.87 (* end of lemma zenon_L22_ *) % 0.69/0.87 assert (zenon_L23_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H44 zenon_H10 zenon_H49 zenon_H4b zenon_H4c zenon_H56. % 0.69/0.87 generalize (zenon_H44 (a33)). zenon_intro zenon_H57. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_Hf | zenon_intro zenon_H58 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H4a | zenon_intro zenon_H59 ]. % 0.69/0.87 apply (zenon_L21_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H51 | zenon_intro zenon_H5a ]. % 0.69/0.87 exact (zenon_H51 zenon_H4c). % 0.69/0.87 exact (zenon_H5a zenon_H56). % 0.69/0.87 (* end of lemma zenon_L23_ *) % 0.69/0.87 assert (zenon_L24_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H47 zenon_H10 zenon_H49 zenon_H4b zenon_H4c zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.87 apply (zenon_L22_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.87 generalize (zenon_H40 (a33)). zenon_intro zenon_H5b. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_Hf | zenon_intro zenon_H5c ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H52 | zenon_intro zenon_H5d ]. % 0.69/0.87 exact (zenon_H52 zenon_H4b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4a | zenon_intro zenon_H5a ]. % 0.69/0.87 apply (zenon_L21_); trivial. % 0.69/0.87 exact (zenon_H5a zenon_H56). % 0.69/0.87 apply (zenon_L23_); trivial. % 0.69/0.87 (* end of lemma zenon_L24_ *) % 0.69/0.87 assert (zenon_L25_ : (~(hskp5)) -> (hskp5) -> False). % 0.69/0.87 do 0 intro. intros zenon_H5e zenon_H5f. % 0.69/0.87 exact (zenon_H5e zenon_H5f). % 0.69/0.87 (* end of lemma zenon_L25_ *) % 0.69/0.87 assert (zenon_L26_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c1_1 (a10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H60 zenon_H61 zenon_H33 zenon_H32 zenon_H3b zenon_H47 zenon_H5e. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.87 apply (zenon_L20_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 exact (zenon_H5e zenon_H5f). % 0.69/0.87 (* end of lemma zenon_L26_ *) % 0.69/0.87 assert (zenon_L27_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H65 zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L15_); trivial. % 0.69/0.87 apply (zenon_L26_); trivial. % 0.69/0.87 (* end of lemma zenon_L27_ *) % 0.69/0.87 assert (zenon_L28_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H69 zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H15 zenon_H13 zenon_H27 zenon_H29. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.87 apply (zenon_L12_); trivial. % 0.69/0.87 apply (zenon_L27_); trivial. % 0.69/0.87 (* end of lemma zenon_L28_ *) % 0.69/0.87 assert (zenon_L29_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H6d zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H13 zenon_H27 zenon_H29 zenon_H5 zenon_H9 zenon_Hb. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.87 apply (zenon_L6_); trivial. % 0.69/0.87 apply (zenon_L28_); trivial. % 0.69/0.87 (* end of lemma zenon_L29_ *) % 0.69/0.87 assert (zenon_L30_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a64))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H6e zenon_H10 zenon_H6f zenon_H70 zenon_H71. % 0.69/0.87 generalize (zenon_H6e (a64)). zenon_intro zenon_H72. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_Hf | zenon_intro zenon_H73 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.69/0.87 exact (zenon_H6f zenon_H75). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.69/0.87 exact (zenon_H70 zenon_H77). % 0.69/0.87 exact (zenon_H76 zenon_H71). % 0.69/0.87 (* end of lemma zenon_L30_ *) % 0.69/0.87 assert (zenon_L31_ : (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (ndr1_0) -> (~(c2_1 (a64))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H78 zenon_H10 zenon_H70 zenon_H6e zenon_H71. % 0.69/0.87 generalize (zenon_H78 (a64)). zenon_intro zenon_H79. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_Hf | zenon_intro zenon_H7a ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H77 | zenon_intro zenon_H7b ]. % 0.69/0.87 exact (zenon_H70 zenon_H77). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6f | zenon_intro zenon_H76 ]. % 0.69/0.87 apply (zenon_L30_); trivial. % 0.69/0.87 exact (zenon_H76 zenon_H71). % 0.69/0.87 (* end of lemma zenon_L31_ *) % 0.69/0.87 assert (zenon_L32_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H40 zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H7c. % 0.69/0.87 generalize (zenon_H40 (a64)). zenon_intro zenon_H7d. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_Hf | zenon_intro zenon_H7e ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.87 apply (zenon_L30_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H76 | zenon_intro zenon_H80 ]. % 0.69/0.87 exact (zenon_H76 zenon_H71). % 0.69/0.87 exact (zenon_H80 zenon_H7c). % 0.69/0.87 (* end of lemma zenon_L32_ *) % 0.69/0.87 assert (zenon_L33_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H81 zenon_H56 zenon_H4c zenon_H4b zenon_H47 zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H7c. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.87 apply (zenon_L31_); trivial. % 0.69/0.87 apply (zenon_L32_); trivial. % 0.69/0.87 (* end of lemma zenon_L33_ *) % 0.69/0.87 assert (zenon_L34_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c0_1 (a38))) -> (~(c2_1 (a38))) -> (c3_1 (a38)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H83 zenon_H10 zenon_H84 zenon_H85 zenon_H86. % 0.69/0.87 generalize (zenon_H83 (a38)). zenon_intro zenon_H87. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H87); [ zenon_intro zenon_Hf | zenon_intro zenon_H88 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.69/0.87 exact (zenon_H84 zenon_H8a). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ]. % 0.69/0.87 exact (zenon_H85 zenon_H8c). % 0.69/0.87 exact (zenon_H8b zenon_H86). % 0.69/0.87 (* end of lemma zenon_L34_ *) % 0.69/0.87 assert (zenon_L35_ : (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c0_1 (a38))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (c3_1 (a38)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H30 zenon_H10 zenon_H84 zenon_H83 zenon_H86. % 0.69/0.87 generalize (zenon_H30 (a38)). zenon_intro zenon_H8d. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_Hf | zenon_intro zenon_H8e ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8a | zenon_intro zenon_H8f ]. % 0.69/0.87 exact (zenon_H84 zenon_H8a). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H85 | zenon_intro zenon_H8b ]. % 0.69/0.87 apply (zenon_L34_); trivial. % 0.69/0.87 exact (zenon_H8b zenon_H86). % 0.69/0.87 (* end of lemma zenon_L35_ *) % 0.69/0.87 assert (zenon_L36_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (c3_1 (a38)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c0_1 (a38))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H61 zenon_H86 zenon_H83 zenon_H84 zenon_H56 zenon_H4c zenon_H4b zenon_H10 zenon_H47 zenon_H5e. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.87 apply (zenon_L35_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 exact (zenon_H5e zenon_H5f). % 0.69/0.87 (* end of lemma zenon_L36_ *) % 0.69/0.87 assert (zenon_L37_ : (~(hskp6)) -> (hskp6) -> False). % 0.69/0.87 do 0 intro. intros zenon_H90 zenon_H91. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L37_ *) % 0.69/0.87 assert (zenon_L38_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H92 zenon_H66 zenon_H93 zenon_H90 zenon_H84 zenon_H86 zenon_H5e zenon_H61 zenon_H47 zenon_H81 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L15_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.87 apply (zenon_L33_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.87 apply (zenon_L36_); trivial. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L38_ *) % 0.69/0.87 assert (zenon_L39_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H84 zenon_H86 zenon_H81 zenon_Hb zenon_H9 zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_H6d. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.87 apply (zenon_L29_); trivial. % 0.69/0.87 apply (zenon_L38_); trivial. % 0.69/0.87 (* end of lemma zenon_L39_ *) % 0.69/0.87 assert (zenon_L40_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H98 zenon_H10 zenon_H99 zenon_H9a zenon_H9b. % 0.69/0.87 generalize (zenon_H98 (a34)). zenon_intro zenon_H9c. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_Hf | zenon_intro zenon_H9d ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ]. % 0.69/0.87 exact (zenon_H99 zenon_H9f). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ]. % 0.69/0.87 exact (zenon_H9a zenon_Ha1). % 0.69/0.87 exact (zenon_Ha0 zenon_H9b). % 0.69/0.87 (* end of lemma zenon_L40_ *) % 0.69/0.87 assert (zenon_L41_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Ha2 zenon_H10 zenon_Ha3 zenon_H98 zenon_H9a zenon_H9b. % 0.69/0.87 generalize (zenon_Ha2 (a34)). zenon_intro zenon_Ha4. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha5 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.69/0.87 exact (zenon_Ha3 zenon_Ha7). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ]. % 0.69/0.87 apply (zenon_L40_); trivial. % 0.69/0.87 exact (zenon_Ha0 zenon_H9b). % 0.69/0.87 (* end of lemma zenon_L41_ *) % 0.69/0.87 assert (zenon_L42_ : (~(hskp22)) -> (hskp22) -> False). % 0.69/0.87 do 0 intro. intros zenon_Ha8 zenon_Ha9. % 0.69/0.87 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.87 (* end of lemma zenon_L42_ *) % 0.69/0.87 assert (zenon_L43_ : (~(hskp19)) -> (hskp19) -> False). % 0.69/0.87 do 0 intro. intros zenon_Haa zenon_Hab. % 0.69/0.87 exact (zenon_Haa zenon_Hab). % 0.69/0.87 (* end of lemma zenon_L43_ *) % 0.69/0.87 assert (zenon_L44_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (ndr1_0) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hac zenon_H10 zenon_H9a zenon_Ha3 zenon_H9b. % 0.69/0.87 generalize (zenon_Hac (a34)). zenon_intro zenon_Had. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_Hf | zenon_intro zenon_Hae ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Haf ]. % 0.69/0.87 exact (zenon_H9a zenon_Ha1). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha0 ]. % 0.69/0.87 exact (zenon_Ha3 zenon_Ha7). % 0.69/0.87 exact (zenon_Ha0 zenon_H9b). % 0.69/0.87 (* end of lemma zenon_L44_ *) % 0.69/0.87 assert (zenon_L45_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a43))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c1_1 (a43))) -> (c2_1 (a43)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hb0 zenon_H10 zenon_Hb1 zenon_H18 zenon_Hb2 zenon_Hb3. % 0.69/0.87 generalize (zenon_Hb0 (a43)). zenon_intro zenon_Hb4. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Hb4); [ zenon_intro zenon_Hf | zenon_intro zenon_Hb5 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ]. % 0.69/0.87 exact (zenon_Hb1 zenon_Hb7). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.69/0.87 generalize (zenon_H18 (a43)). zenon_intro zenon_Hba. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_Hf | zenon_intro zenon_Hbb ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.69/0.87 exact (zenon_Hb9 zenon_Hbd). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hb7 ]. % 0.69/0.87 exact (zenon_Hb2 zenon_Hbe). % 0.69/0.87 exact (zenon_Hb1 zenon_Hb7). % 0.69/0.87 exact (zenon_Hb8 zenon_Hb3). % 0.69/0.87 (* end of lemma zenon_L45_ *) % 0.69/0.87 assert (zenon_L46_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c2_1 (a43)) -> (~(c1_1 (a43))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a43))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hbf zenon_H9b zenon_Ha3 zenon_H9a zenon_Hb3 zenon_Hb2 zenon_H18 zenon_Hb1 zenon_H10 zenon_H5e. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hac | zenon_intro zenon_Hc0 ]. % 0.69/0.87 apply (zenon_L44_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H5f ]. % 0.69/0.87 apply (zenon_L45_); trivial. % 0.69/0.87 exact (zenon_H5e zenon_H5f). % 0.69/0.87 (* end of lemma zenon_L46_ *) % 0.69/0.87 assert (zenon_L47_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hc1 zenon_H29 zenon_H27 zenon_H9a zenon_Ha3 zenon_H9b zenon_H5e zenon_Hbf. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.69/0.87 apply (zenon_L46_); trivial. % 0.69/0.87 exact (zenon_H27 zenon_H28). % 0.69/0.87 (* end of lemma zenon_L47_ *) % 0.69/0.87 assert (zenon_L48_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a34)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hc4 zenon_H29 zenon_H27 zenon_H5e zenon_Hbf zenon_Hc5 zenon_Haa zenon_H9b zenon_H9a zenon_Ha3 zenon_H10 zenon_H90 zenon_H5 zenon_Hc6. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc7 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc8 ]. % 0.69/0.87 apply (zenon_L41_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hab ]. % 0.69/0.87 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.87 exact (zenon_Haa zenon_Hab). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H91 | zenon_intro zenon_H6 ]. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 apply (zenon_L47_); trivial. % 0.69/0.87 (* end of lemma zenon_L48_ *) % 0.69/0.87 assert (zenon_L49_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hc9 zenon_H10 zenon_Hca zenon_Hcb zenon_Hcc. % 0.69/0.87 generalize (zenon_Hc9 (a36)). zenon_intro zenon_Hcd. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Hcd); [ zenon_intro zenon_Hf | zenon_intro zenon_Hce ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 0.69/0.87 exact (zenon_Hca zenon_Hd0). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.69/0.87 exact (zenon_Hcb zenon_Hd2). % 0.69/0.87 exact (zenon_Hcc zenon_Hd1). % 0.69/0.87 (* end of lemma zenon_L49_ *) % 0.69/0.87 assert (zenon_L50_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (c0_1 (a36)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hd3 zenon_H10 zenon_Hca zenon_Hcc zenon_Hd4. % 0.69/0.87 generalize (zenon_Hd3 (a36)). zenon_intro zenon_Hd5. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd6 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd7 ]. % 0.69/0.87 exact (zenon_Hca zenon_Hd0). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd8 ]. % 0.69/0.87 exact (zenon_Hcc zenon_Hd1). % 0.69/0.87 exact (zenon_Hd8 zenon_Hd4). % 0.69/0.87 (* end of lemma zenon_L50_ *) % 0.69/0.87 assert (zenon_L51_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H18 zenon_H10 zenon_Hd3 zenon_Hca zenon_Hcc. % 0.69/0.87 generalize (zenon_H18 (a36)). zenon_intro zenon_Hd9. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_Hf | zenon_intro zenon_Hda ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hdb ]. % 0.69/0.87 apply (zenon_L50_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ]. % 0.69/0.87 exact (zenon_Hca zenon_Hd0). % 0.69/0.87 exact (zenon_Hcc zenon_Hd1). % 0.69/0.87 (* end of lemma zenon_L51_ *) % 0.69/0.87 assert (zenon_L52_ : (~(hskp17)) -> (hskp17) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hdc zenon_Hdd. % 0.69/0.87 exact (zenon_Hdc zenon_Hdd). % 0.69/0.87 (* end of lemma zenon_L52_ *) % 0.69/0.87 assert (zenon_L53_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(hskp17)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hde zenon_Hcb zenon_Hcc zenon_Hca zenon_H10 zenon_H18 zenon_Hdc. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdf ]. % 0.69/0.87 apply (zenon_L49_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hdd ]. % 0.69/0.87 apply (zenon_L51_); trivial. % 0.69/0.87 exact (zenon_Hdc zenon_Hdd). % 0.69/0.87 (* end of lemma zenon_L53_ *) % 0.69/0.87 assert (zenon_L54_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H29 zenon_H27 zenon_H10 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hdc zenon_Hde. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.69/0.87 apply (zenon_L53_); trivial. % 0.69/0.87 exact (zenon_H27 zenon_H28). % 0.69/0.87 (* end of lemma zenon_L54_ *) % 0.69/0.87 assert (zenon_L55_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> False). % 0.69/0.87 do 0 intro. intros zenon_He0 zenon_H29 zenon_H27 zenon_Hdc zenon_Hde. % 0.69/0.87 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.87 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.87 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.87 apply (zenon_L54_); trivial. % 0.69/0.87 (* end of lemma zenon_L55_ *) % 0.69/0.87 assert (zenon_L56_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> (ndr1_0) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_He3 zenon_Hdc zenon_Hde zenon_Hc6 zenon_H5 zenon_H90 zenon_H10 zenon_Ha3 zenon_H9a zenon_H9b zenon_Hc5 zenon_Hbf zenon_H5e zenon_H27 zenon_H29 zenon_Hc4. % 0.69/0.87 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.87 apply (zenon_L48_); trivial. % 0.69/0.87 apply (zenon_L55_); trivial. % 0.69/0.87 (* end of lemma zenon_L56_ *) % 0.69/0.87 assert (zenon_L57_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H83 zenon_H10 zenon_He4 zenon_He5 zenon_He6. % 0.69/0.87 generalize (zenon_H83 (a32)). zenon_intro zenon_He7. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_He7); [ zenon_intro zenon_Hf | zenon_intro zenon_He8 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_Hea | zenon_intro zenon_He9 ]. % 0.69/0.87 exact (zenon_He4 zenon_Hea). % 0.69/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.69/0.87 exact (zenon_He5 zenon_Hec). % 0.69/0.87 exact (zenon_Heb zenon_He6). % 0.69/0.87 (* end of lemma zenon_L57_ *) % 0.69/0.87 assert (zenon_L58_ : (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hed zenon_H10 zenon_H4b zenon_H4c zenon_H56. % 0.69/0.87 generalize (zenon_Hed (a33)). zenon_intro zenon_Hee. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_Hf | zenon_intro zenon_Hef ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_H52 | zenon_intro zenon_H59 ]. % 0.69/0.87 exact (zenon_H52 zenon_H4b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H51 | zenon_intro zenon_H5a ]. % 0.69/0.87 exact (zenon_H51 zenon_H4c). % 0.69/0.87 exact (zenon_H5a zenon_H56). % 0.69/0.87 (* end of lemma zenon_L58_ *) % 0.69/0.87 assert (zenon_L59_ : (~(hskp10)) -> (hskp10) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hf0 zenon_Hf1. % 0.69/0.87 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.87 (* end of lemma zenon_L59_ *) % 0.69/0.87 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (c3_1 (a32)) -> (~(c2_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H60 zenon_Hf2 zenon_He6 zenon_He5 zenon_He4 zenon_Hf0. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.87 apply (zenon_L57_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.87 apply (zenon_L58_); trivial. % 0.69/0.87 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.87 (* end of lemma zenon_L60_ *) % 0.69/0.87 assert (zenon_L61_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a32)) -> (~(c2_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_He6 zenon_He5 zenon_He4 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L15_); trivial. % 0.69/0.87 apply (zenon_L60_); trivial. % 0.69/0.87 (* end of lemma zenon_L61_ *) % 0.69/0.87 assert (zenon_L62_ : ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp30)) -> (~(hskp27)) -> (~(hskp7)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hf4 zenon_H2a zenon_H11 zenon_H5. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H2b | zenon_intro zenon_Hf5 ]. % 0.69/0.87 exact (zenon_H2a zenon_H2b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H12 | zenon_intro zenon_H6 ]. % 0.69/0.87 exact (zenon_H11 zenon_H12). % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 (* end of lemma zenon_L62_ *) % 0.69/0.87 assert (zenon_L63_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a32)) -> (~(c2_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_He6 zenon_He5 zenon_He4 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L62_); trivial. % 0.69/0.87 apply (zenon_L60_); trivial. % 0.69/0.87 (* end of lemma zenon_L63_ *) % 0.69/0.87 assert (zenon_L64_ : (~(hskp28)) -> (hskp28) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hf6 zenon_Hf7. % 0.69/0.87 exact (zenon_Hf6 zenon_Hf7). % 0.69/0.87 (* end of lemma zenon_L64_ *) % 0.69/0.87 assert (zenon_L65_ : (~(hskp9)) -> (hskp9) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hf8 zenon_Hf9. % 0.69/0.87 exact (zenon_Hf8 zenon_Hf9). % 0.69/0.87 (* end of lemma zenon_L65_ *) % 0.69/0.87 assert (zenon_L66_ : ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp28)) -> (~(hskp7)) -> (~(hskp9)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hfa zenon_Hf6 zenon_H5 zenon_Hf8. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hfb ]. % 0.69/0.87 exact (zenon_Hf6 zenon_Hf7). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf9 ]. % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 exact (zenon_Hf8 zenon_Hf9). % 0.69/0.87 (* end of lemma zenon_L66_ *) % 0.69/0.87 assert (zenon_L67_ : (~(hskp29)) -> (hskp29) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hfc zenon_Hfd. % 0.69/0.87 exact (zenon_Hfc zenon_Hfd). % 0.69/0.87 (* end of lemma zenon_L67_ *) % 0.69/0.87 assert (zenon_L68_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c1_1 (a10)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_H33 zenon_H32 zenon_H3b zenon_H10 zenon_Hfc. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.87 apply (zenon_L44_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.87 apply (zenon_L19_); trivial. % 0.69/0.87 exact (zenon_Hfc zenon_Hfd). % 0.69/0.87 (* end of lemma zenon_L68_ *) % 0.69/0.87 assert (zenon_L69_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (c2_1 (a25)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H3a zenon_H10 zenon_H100 zenon_H101 zenon_H102. % 0.69/0.87 generalize (zenon_H3a (a25)). zenon_intro zenon_H103. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_Hf | zenon_intro zenon_H104 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H106 | zenon_intro zenon_H105 ]. % 0.69/0.87 exact (zenon_H106 zenon_H100). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ]. % 0.69/0.87 exact (zenon_H108 zenon_H101). % 0.69/0.87 exact (zenon_H107 zenon_H102). % 0.69/0.87 (* end of lemma zenon_L69_ *) % 0.69/0.87 assert (zenon_L70_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H40 zenon_H10 zenon_H109 zenon_H10a zenon_H10b. % 0.69/0.87 generalize (zenon_H40 (a15)). zenon_intro zenon_H10c. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_Hf | zenon_intro zenon_H10d ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 0.69/0.87 exact (zenon_H10f zenon_H109). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 0.69/0.87 exact (zenon_H111 zenon_H10a). % 0.69/0.87 exact (zenon_H110 zenon_H10b). % 0.69/0.87 (* end of lemma zenon_L70_ *) % 0.69/0.87 assert (zenon_L71_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (c1_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H112 zenon_H47 zenon_H10b zenon_H10a zenon_H109 zenon_H3b zenon_H32 zenon_H33. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.87 apply (zenon_L69_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.87 apply (zenon_L70_); trivial. % 0.69/0.87 apply (zenon_L19_); trivial. % 0.69/0.87 (* end of lemma zenon_L71_ *) % 0.69/0.87 assert (zenon_L72_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> (c1_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H115 zenon_H116 zenon_H47 zenon_H9a zenon_Ha3 zenon_H9b zenon_H3b zenon_H32 zenon_H33 zenon_Hfe. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.87 apply (zenon_L68_); trivial. % 0.69/0.87 apply (zenon_L71_); trivial. % 0.69/0.87 (* end of lemma zenon_L72_ *) % 0.69/0.87 assert (zenon_L73_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H65 zenon_H119 zenon_H116 zenon_H47 zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_H5 zenon_Hf8 zenon_Hfa. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.87 apply (zenon_L66_); trivial. % 0.69/0.87 apply (zenon_L72_); trivial. % 0.69/0.87 (* end of lemma zenon_L73_ *) % 0.69/0.87 assert (zenon_L74_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H11a zenon_H6a zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_H5 zenon_He4 zenon_He5 zenon_He6 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.87 apply (zenon_L63_); trivial. % 0.69/0.87 apply (zenon_L73_); trivial. % 0.69/0.87 (* end of lemma zenon_L74_ *) % 0.69/0.87 assert (zenon_L75_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H11d zenon_H6a zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_H5 zenon_H2e zenon_H2c zenon_He4 zenon_He5 zenon_He6 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.87 apply (zenon_L61_); trivial. % 0.69/0.87 apply (zenon_L74_); trivial. % 0.69/0.87 (* end of lemma zenon_L75_ *) % 0.69/0.87 assert (zenon_L76_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c0_1 (a64))) -> (~(c2_1 (a64))) -> (c3_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H83 zenon_H10 zenon_H6f zenon_H70 zenon_H7c. % 0.69/0.87 generalize (zenon_H83 (a64)). zenon_intro zenon_H11e. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H11e); [ zenon_intro zenon_Hf | zenon_intro zenon_H11f ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H75 | zenon_intro zenon_H120 ]. % 0.69/0.87 exact (zenon_H6f zenon_H75). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H77 | zenon_intro zenon_H80 ]. % 0.69/0.87 exact (zenon_H70 zenon_H77). % 0.69/0.87 exact (zenon_H80 zenon_H7c). % 0.69/0.87 (* end of lemma zenon_L76_ *) % 0.69/0.87 assert (zenon_L77_ : (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (ndr1_0) -> (~(c2_1 (a64))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H78 zenon_H10 zenon_H70 zenon_H83 zenon_H7c zenon_H71. % 0.69/0.87 generalize (zenon_H78 (a64)). zenon_intro zenon_H79. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_Hf | zenon_intro zenon_H7a ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H77 | zenon_intro zenon_H7b ]. % 0.69/0.87 exact (zenon_H70 zenon_H77). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6f | zenon_intro zenon_H76 ]. % 0.69/0.87 apply (zenon_L76_); trivial. % 0.69/0.87 exact (zenon_H76 zenon_H71). % 0.69/0.87 (* end of lemma zenon_L77_ *) % 0.69/0.87 assert (zenon_L78_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c2_1 (a64))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H40 zenon_H10 zenon_H83 zenon_H70 zenon_H7c zenon_H71. % 0.69/0.87 generalize (zenon_H40 (a64)). zenon_intro zenon_H7d. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_Hf | zenon_intro zenon_H7e ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6f | zenon_intro zenon_H7f ]. % 0.69/0.87 apply (zenon_L76_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H76 | zenon_intro zenon_H80 ]. % 0.69/0.87 exact (zenon_H76 zenon_H71). % 0.69/0.87 exact (zenon_H80 zenon_H7c). % 0.69/0.87 (* end of lemma zenon_L78_ *) % 0.69/0.87 assert (zenon_L79_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c2_1 (a64))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H81 zenon_H56 zenon_H4c zenon_H4b zenon_H47 zenon_H10 zenon_H83 zenon_H70 zenon_H7c zenon_H71. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.87 apply (zenon_L77_); trivial. % 0.69/0.87 apply (zenon_L78_); trivial. % 0.69/0.87 (* end of lemma zenon_L79_ *) % 0.69/0.87 assert (zenon_L80_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (~(c2_1 (a64))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H60 zenon_H93 zenon_H71 zenon_H7c zenon_H70 zenon_H47 zenon_H81 zenon_H90. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.87 apply (zenon_L33_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.87 apply (zenon_L79_); trivial. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L80_ *) % 0.69/0.87 assert (zenon_L81_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H92 zenon_H66 zenon_H93 zenon_H90 zenon_H47 zenon_H81 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L15_); trivial. % 0.69/0.87 apply (zenon_L80_); trivial. % 0.69/0.87 (* end of lemma zenon_L81_ *) % 0.69/0.87 assert (zenon_L82_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H9 zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_H6d. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.87 apply (zenon_L29_); trivial. % 0.69/0.87 apply (zenon_L81_); trivial. % 0.69/0.87 (* end of lemma zenon_L82_ *) % 0.69/0.87 assert (zenon_L83_ : (forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c3_1 (a19))) -> (c0_1 (a19)) -> (c1_1 (a19)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H121 zenon_H10 zenon_H122 zenon_H123 zenon_H124. % 0.69/0.87 generalize (zenon_H121 (a19)). zenon_intro zenon_H125. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H125); [ zenon_intro zenon_Hf | zenon_intro zenon_H126 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ]. % 0.69/0.87 exact (zenon_H122 zenon_H128). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.69/0.87 exact (zenon_H12a zenon_H123). % 0.69/0.87 exact (zenon_H129 zenon_H124). % 0.69/0.87 (* end of lemma zenon_L83_ *) % 0.69/0.87 assert (zenon_L84_ : (~(hskp16)) -> (hskp16) -> False). % 0.69/0.87 do 0 intro. intros zenon_H12b zenon_H12c. % 0.69/0.87 exact (zenon_H12b zenon_H12c). % 0.69/0.87 (* end of lemma zenon_L84_ *) % 0.69/0.87 assert (zenon_L85_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (~(hskp16)) -> (~(c3_1 (a19))) -> (c0_1 (a19)) -> (c1_1 (a19)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H11a zenon_Hc6 zenon_H12b zenon_H122 zenon_H123 zenon_H124 zenon_H12d zenon_H90 zenon_H5. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc7 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.69/0.87 generalize (zenon_H12f (a34)). zenon_intro zenon_H130. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H130); [ zenon_intro zenon_Hf | zenon_intro zenon_H131 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha6 ]. % 0.69/0.87 exact (zenon_H9a zenon_Ha1). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ]. % 0.69/0.87 apply (zenon_L40_); trivial. % 0.69/0.87 exact (zenon_Ha0 zenon_H9b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.69/0.87 apply (zenon_L83_); trivial. % 0.69/0.87 exact (zenon_H12b zenon_H12c). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H91 | zenon_intro zenon_H6 ]. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 exact (zenon_H5 zenon_H6). % 0.69/0.87 (* end of lemma zenon_L85_ *) % 0.69/0.87 assert (zenon_L86_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a31))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H132 zenon_H10 zenon_H133 zenon_H134 zenon_H135. % 0.69/0.87 generalize (zenon_H132 (a31)). zenon_intro zenon_H136. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H136); [ zenon_intro zenon_Hf | zenon_intro zenon_H137 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.69/0.87 exact (zenon_H133 zenon_H139). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.69/0.87 exact (zenon_H134 zenon_H13b). % 0.69/0.87 exact (zenon_H13a zenon_H135). % 0.69/0.87 (* end of lemma zenon_L86_ *) % 0.69/0.87 assert (zenon_L87_ : (~(hskp0)) -> (hskp0) -> False). % 0.69/0.87 do 0 intro. intros zenon_H13c zenon_H13d. % 0.69/0.87 exact (zenon_H13c zenon_H13d). % 0.69/0.87 (* end of lemma zenon_L87_ *) % 0.69/0.87 assert (zenon_L88_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c0_1 (a31))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp0)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H13e zenon_H135 zenon_H134 zenon_H133 zenon_H10 zenon_H5e zenon_H13c. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H132 | zenon_intro zenon_H13f ]. % 0.69/0.87 apply (zenon_L86_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H5f | zenon_intro zenon_H13d ]. % 0.69/0.87 exact (zenon_H5e zenon_H5f). % 0.69/0.87 exact (zenon_H13c zenon_H13d). % 0.69/0.87 (* end of lemma zenon_L88_ *) % 0.69/0.87 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> (~(hskp5)) -> (~(hskp0)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H140 zenon_H13e zenon_H5e zenon_H13c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H10. zenon_intro zenon_H141. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H135. zenon_intro zenon_H142. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.69/0.87 apply (zenon_L88_); trivial. % 0.69/0.87 (* end of lemma zenon_L89_ *) % 0.69/0.87 assert (zenon_L90_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H143 zenon_H13e zenon_H13c zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_H6d zenon_H12d zenon_H124 zenon_H123 zenon_H122 zenon_Hc6 zenon_H11d. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.87 apply (zenon_L82_); trivial. % 0.69/0.87 apply (zenon_L85_); trivial. % 0.69/0.87 apply (zenon_L89_); trivial. % 0.69/0.87 (* end of lemma zenon_L90_ *) % 0.69/0.87 assert (zenon_L91_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c0_1 (a18))) -> (~(c1_1 (a18))) -> (~(c3_1 (a18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H18 zenon_H10 zenon_H144 zenon_H145 zenon_H146. % 0.69/0.87 generalize (zenon_H18 (a18)). zenon_intro zenon_H147. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H147); [ zenon_intro zenon_Hf | zenon_intro zenon_H148 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ]. % 0.69/0.87 exact (zenon_H144 zenon_H14a). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 0.69/0.87 exact (zenon_H145 zenon_H14c). % 0.69/0.87 exact (zenon_H146 zenon_H14b). % 0.69/0.87 (* end of lemma zenon_L91_ *) % 0.69/0.87 assert (zenon_L92_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(c3_1 (a18))) -> (~(c1_1 (a18))) -> (~(c0_1 (a18))) -> (ndr1_0) -> False). % 0.69/0.87 do 0 intro. intros zenon_H29 zenon_H27 zenon_H146 zenon_H145 zenon_H144 zenon_H10. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.69/0.87 apply (zenon_L91_); trivial. % 0.69/0.87 exact (zenon_H27 zenon_H28). % 0.69/0.87 (* end of lemma zenon_L92_ *) % 0.69/0.87 assert (zenon_L93_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (c3_1 (a34)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Ha2 zenon_H10 zenon_Ha3 zenon_H83 zenon_H9b. % 0.69/0.87 generalize (zenon_Ha2 (a34)). zenon_intro zenon_Ha4. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha5 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.69/0.87 exact (zenon_Ha3 zenon_Ha7). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ]. % 0.69/0.87 generalize (zenon_H83 (a34)). zenon_intro zenon_H14d. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H14d); [ zenon_intro zenon_Hf | zenon_intro zenon_H14e ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H9f | zenon_intro zenon_Haf ]. % 0.69/0.87 exact (zenon_H99 zenon_H9f). % 0.69/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha0 ]. % 0.69/0.87 exact (zenon_Ha3 zenon_Ha7). % 0.69/0.87 exact (zenon_Ha0 zenon_H9b). % 0.69/0.87 exact (zenon_Ha0 zenon_H9b). % 0.69/0.87 (* end of lemma zenon_L93_ *) % 0.69/0.87 assert (zenon_L94_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a34)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c2_1 (a34))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp19)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hc5 zenon_H9b zenon_H83 zenon_Ha3 zenon_H10 zenon_Ha8 zenon_Haa. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc8 ]. % 0.69/0.87 apply (zenon_L93_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hab ]. % 0.69/0.87 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.87 exact (zenon_Haa zenon_Hab). % 0.69/0.87 (* end of lemma zenon_L94_ *) % 0.69/0.87 assert (zenon_L95_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> (~(hskp19)) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp11)) -> (~(hskp6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H14f zenon_Haa zenon_Ha8 zenon_H10 zenon_Ha3 zenon_H9b zenon_Hc5 zenon_H1 zenon_H90. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H83 | zenon_intro zenon_H150 ]. % 0.69/0.87 apply (zenon_L94_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H2 | zenon_intro zenon_H91 ]. % 0.69/0.87 exact (zenon_H1 zenon_H2). % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L95_ *) % 0.69/0.87 assert (zenon_L96_ : (forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c3_1 (a12))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (c1_1 (a12)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H121 zenon_H10 zenon_H151 zenon_H152 zenon_H153. % 0.69/0.87 generalize (zenon_H121 (a12)). zenon_intro zenon_H154. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_Hf | zenon_intro zenon_H155 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 0.69/0.87 exact (zenon_H151 zenon_H157). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ]. % 0.69/0.87 generalize (zenon_H152 (a12)). zenon_intro zenon_H15a. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H15a); [ zenon_intro zenon_Hf | zenon_intro zenon_H15b ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ]. % 0.69/0.87 exact (zenon_H159 zenon_H15d). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H157 | zenon_intro zenon_H158 ]. % 0.69/0.87 exact (zenon_H151 zenon_H157). % 0.69/0.87 exact (zenon_H158 zenon_H153). % 0.69/0.87 exact (zenon_H158 zenon_H153). % 0.69/0.87 (* end of lemma zenon_L96_ *) % 0.69/0.87 assert (zenon_L97_ : (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c1_1 (a43))) -> (~(c3_1 (a43))) -> (c2_1 (a43)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H15e zenon_H10 zenon_Hb2 zenon_Hb1 zenon_Hb3. % 0.69/0.87 generalize (zenon_H15e (a43)). zenon_intro zenon_H15f. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_Hf | zenon_intro zenon_H160 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_Hbe | zenon_intro zenon_H161 ]. % 0.69/0.87 exact (zenon_Hb2 zenon_Hbe). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb8 ]. % 0.69/0.87 exact (zenon_Hb1 zenon_Hb7). % 0.69/0.87 exact (zenon_Hb8 zenon_Hb3). % 0.69/0.87 (* end of lemma zenon_L97_ *) % 0.69/0.87 assert (zenon_L98_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hc1 zenon_H162 zenon_H151 zenon_H153 zenon_H9a zenon_Ha3 zenon_H9b zenon_H163 zenon_H13c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H152 | zenon_intro zenon_H164 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.87 apply (zenon_L44_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.87 apply (zenon_L96_); trivial. % 0.69/0.87 exact (zenon_H13c zenon_H13d). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H15e | zenon_intro zenon_H13d ]. % 0.69/0.87 apply (zenon_L97_); trivial. % 0.69/0.87 exact (zenon_H13c zenon_H13d). % 0.69/0.87 (* end of lemma zenon_L98_ *) % 0.69/0.87 assert (zenon_L99_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_Hdc zenon_Hde zenon_H14f zenon_H90 zenon_H1 zenon_Hc5 zenon_H163 zenon_H13c zenon_H153 zenon_H151 zenon_H162 zenon_Hc4. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.87 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.87 apply (zenon_L95_); trivial. % 0.69/0.87 apply (zenon_L98_); trivial. % 0.69/0.87 apply (zenon_L55_); trivial. % 0.69/0.87 (* end of lemma zenon_L99_ *) % 0.69/0.87 assert (zenon_L100_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> (~(hskp11)) -> (~(hskp6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H166 zenon_H14f zenon_H1 zenon_H90. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H83 | zenon_intro zenon_H150 ]. % 0.69/0.87 apply (zenon_L57_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H2 | zenon_intro zenon_H91 ]. % 0.69/0.87 exact (zenon_H1 zenon_H2). % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L100_ *) % 0.69/0.87 assert (zenon_L101_ : ((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H169 zenon_H143 zenon_H13e zenon_H13c zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_H6d zenon_H12d zenon_Hc6 zenon_H11d. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.87 apply (zenon_L90_); trivial. % 0.69/0.87 (* end of lemma zenon_L101_ *) % 0.69/0.87 assert (zenon_L102_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp7)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H16c zenon_H143 zenon_H13e zenon_H12d zenon_Hc6 zenon_H11d zenon_He3 zenon_Hde zenon_H14f zenon_Hc5 zenon_H163 zenon_H13c zenon_H153 zenon_H151 zenon_H162 zenon_Hc4 zenon_H6d zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H27 zenon_H29 zenon_H5 zenon_Hb zenon_H81 zenon_H90 zenon_H93 zenon_H97 zenon_H16d. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.87 apply (zenon_L82_); trivial. % 0.69/0.87 apply (zenon_L99_); trivial. % 0.69/0.87 apply (zenon_L100_); trivial. % 0.69/0.87 apply (zenon_L101_); trivial. % 0.69/0.87 (* end of lemma zenon_L102_ *) % 0.69/0.87 assert (zenon_L103_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H6e zenon_H10 zenon_H16e zenon_H16f zenon_H170. % 0.69/0.87 generalize (zenon_H6e (a9)). zenon_intro zenon_H171. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H171); [ zenon_intro zenon_Hf | zenon_intro zenon_H172 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ]. % 0.69/0.87 exact (zenon_H16e zenon_H174). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H176 | zenon_intro zenon_H175 ]. % 0.69/0.87 exact (zenon_H16f zenon_H176). % 0.69/0.87 exact (zenon_H175 zenon_H170). % 0.69/0.87 (* end of lemma zenon_L103_ *) % 0.69/0.87 assert (zenon_L104_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp27)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_Hf6 zenon_H11. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H6e | zenon_intro zenon_H178 ]. % 0.69/0.87 apply (zenon_L103_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H12 ]. % 0.69/0.87 exact (zenon_Hf6 zenon_Hf7). % 0.69/0.87 exact (zenon_H11 zenon_H12). % 0.69/0.87 (* end of lemma zenon_L104_ *) % 0.69/0.87 assert (zenon_L105_ : (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c1_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H179 zenon_H10 zenon_H4a zenon_H4c zenon_H56. % 0.69/0.87 generalize (zenon_H179 (a33)). zenon_intro zenon_H17a. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H17a); [ zenon_intro zenon_Hf | zenon_intro zenon_H17b ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H50 | zenon_intro zenon_H59 ]. % 0.69/0.87 exact (zenon_H4a zenon_H50). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H51 | zenon_intro zenon_H5a ]. % 0.69/0.87 exact (zenon_H51 zenon_H4c). % 0.69/0.87 exact (zenon_H5a zenon_H56). % 0.69/0.87 (* end of lemma zenon_L105_ *) % 0.69/0.87 assert (zenon_L106_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c0_1 (a33)) -> (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H40 zenon_H10 zenon_H4b zenon_H179 zenon_H4c zenon_H56. % 0.69/0.87 generalize (zenon_H40 (a33)). zenon_intro zenon_H5b. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_Hf | zenon_intro zenon_H5c ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H52 | zenon_intro zenon_H5d ]. % 0.69/0.87 exact (zenon_H52 zenon_H4b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H4a | zenon_intro zenon_H5a ]. % 0.69/0.87 apply (zenon_L105_); trivial. % 0.69/0.87 exact (zenon_H5a zenon_H56). % 0.69/0.87 (* end of lemma zenon_L106_ *) % 0.69/0.87 assert (zenon_L107_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (c1_1 (a15)) -> (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H44 zenon_H10 zenon_H10a zenon_H78 zenon_H109 zenon_H10b. % 0.69/0.87 generalize (zenon_H44 (a15)). zenon_intro zenon_H17c. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_Hf | zenon_intro zenon_H17d ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H111 | zenon_intro zenon_H17e ]. % 0.69/0.87 exact (zenon_H111 zenon_H10a). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H17f | zenon_intro zenon_H110 ]. % 0.69/0.87 generalize (zenon_H78 (a15)). zenon_intro zenon_H180. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H180); [ zenon_intro zenon_Hf | zenon_intro zenon_H181 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.69/0.87 exact (zenon_H17f zenon_H183). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H10f | zenon_intro zenon_H111 ]. % 0.69/0.87 exact (zenon_H10f zenon_H109). % 0.69/0.87 exact (zenon_H111 zenon_H10a). % 0.69/0.87 exact (zenon_H110 zenon_H10b). % 0.69/0.87 (* end of lemma zenon_L107_ *) % 0.69/0.87 assert (zenon_L108_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (c0_1 (a33)) -> (ndr1_0) -> (c1_1 (a15)) -> (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H47 zenon_H56 zenon_H4c zenon_H179 zenon_H4b zenon_H10 zenon_H10a zenon_H78 zenon_H109 zenon_H10b. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.87 generalize (zenon_H3a (a33)). zenon_intro zenon_H53. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_Hf | zenon_intro zenon_H54 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H52 | zenon_intro zenon_H55 ]. % 0.69/0.87 exact (zenon_H52 zenon_H4b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H4a | zenon_intro zenon_H51 ]. % 0.69/0.87 apply (zenon_L105_); trivial. % 0.69/0.87 exact (zenon_H51 zenon_H4c). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.87 apply (zenon_L106_); trivial. % 0.69/0.87 apply (zenon_L107_); trivial. % 0.69/0.87 (* end of lemma zenon_L108_ *) % 0.69/0.87 assert (zenon_L109_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H184 zenon_H4b zenon_H4c zenon_H56 zenon_H47 zenon_H10b zenon_H109 zenon_H78 zenon_H10a zenon_H10 zenon_Haa. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.87 apply (zenon_L108_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.87 apply (zenon_L107_); trivial. % 0.69/0.87 exact (zenon_Haa zenon_Hab). % 0.69/0.87 (* end of lemma zenon_L109_ *) % 0.69/0.87 assert (zenon_L110_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H119 zenon_H66 zenon_H81 zenon_Haa zenon_H184 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.87 apply (zenon_L104_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L15_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.87 apply (zenon_L109_); trivial. % 0.69/0.87 apply (zenon_L70_); trivial. % 0.69/0.87 (* end of lemma zenon_L110_ *) % 0.69/0.87 assert (zenon_L111_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp19)) -> (~(hskp22)) -> (ndr1_0) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H93 zenon_H170 zenon_H16f zenon_H16e zenon_Haa zenon_Ha8 zenon_H10 zenon_Ha3 zenon_H9b zenon_Hc5 zenon_H90. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.87 apply (zenon_L103_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.87 apply (zenon_L94_); trivial. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L111_ *) % 0.69/0.87 assert (zenon_L112_ : ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp30)) -> (~(hskp27)) -> (~(hskp17)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H186 zenon_H2a zenon_H11 zenon_Hdc. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H2b | zenon_intro zenon_H187 ]. % 0.69/0.87 exact (zenon_H2a zenon_H2b). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H12 | zenon_intro zenon_Hdd ]. % 0.69/0.87 exact (zenon_H11 zenon_H12). % 0.69/0.87 exact (zenon_Hdc zenon_Hdd). % 0.69/0.87 (* end of lemma zenon_L112_ *) % 0.69/0.87 assert (zenon_L113_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H81 zenon_H56 zenon_H4c zenon_H4b zenon_H44 zenon_H10 zenon_H109 zenon_H10a zenon_H10b. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.87 apply (zenon_L23_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.87 apply (zenon_L107_); trivial. % 0.69/0.87 apply (zenon_L70_); trivial. % 0.69/0.87 (* end of lemma zenon_L113_ *) % 0.69/0.87 assert (zenon_L114_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a25)) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (ndr1_0) -> (c1_1 (a15)) -> (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H47 zenon_H102 zenon_H101 zenon_H100 zenon_H10 zenon_H10a zenon_H78 zenon_H109 zenon_H10b. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.87 apply (zenon_L69_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.87 apply (zenon_L70_); trivial. % 0.69/0.87 apply (zenon_L107_); trivial. % 0.69/0.87 (* end of lemma zenon_L114_ *) % 0.69/0.87 assert (zenon_L115_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp27)) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H112 zenon_H66 zenon_H81 zenon_H109 zenon_H10a zenon_H10b zenon_H47 zenon_H11 zenon_Hdc zenon_H186. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L112_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.87 apply (zenon_L114_); trivial. % 0.69/0.87 apply (zenon_L70_); trivial. % 0.69/0.87 (* end of lemma zenon_L115_ *) % 0.69/0.87 assert (zenon_L116_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17)))))) -> (c1_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H40 zenon_H10 zenon_H188 zenon_H3b zenon_H32 zenon_H33. % 0.69/0.87 generalize (zenon_H40 (a10)). zenon_intro zenon_H41. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_Hf | zenon_intro zenon_H42 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H31 | zenon_intro zenon_H43 ]. % 0.69/0.87 generalize (zenon_H188 (a10)). zenon_intro zenon_H189. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H189); [ zenon_intro zenon_Hf | zenon_intro zenon_H18a ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H37 | zenon_intro zenon_H3e ]. % 0.69/0.87 exact (zenon_H31 zenon_H37). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H39 ]. % 0.69/0.87 exact (zenon_H3f zenon_H3b). % 0.69/0.87 exact (zenon_H39 zenon_H32). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H3f | zenon_intro zenon_H38 ]. % 0.69/0.87 exact (zenon_H3f zenon_H3b). % 0.69/0.87 exact (zenon_H38 zenon_H33). % 0.69/0.87 (* end of lemma zenon_L116_ *) % 0.69/0.87 assert (zenon_L117_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a43))) -> (~(c3_1 (a43))) -> (c2_1 (a43)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H65 zenon_H116 zenon_H93 zenon_H90 zenon_H47 zenon_Hb2 zenon_Hb1 zenon_Hb3 zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.87 apply (zenon_L68_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.87 apply (zenon_L103_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.87 apply (zenon_L69_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.87 apply (zenon_L116_); trivial. % 0.69/0.87 apply (zenon_L19_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.87 apply (zenon_L97_); trivial. % 0.69/0.87 apply (zenon_L93_); trivial. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L117_ *) % 0.69/0.87 assert (zenon_L118_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_Hde zenon_H93 zenon_H90 zenon_Hc5 zenon_H170 zenon_H16f zenon_H16e zenon_H119 zenon_H116 zenon_H47 zenon_H186 zenon_Hdc zenon_H81 zenon_Hfe zenon_H66 zenon_H177 zenon_H18b zenon_H6a zenon_Hc4. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.87 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.87 apply (zenon_L111_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.87 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.87 apply (zenon_L104_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L112_); trivial. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.87 apply (zenon_L44_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.87 apply (zenon_L113_); trivial. % 0.69/0.87 exact (zenon_Hfc zenon_Hfd). % 0.69/0.87 apply (zenon_L115_); trivial. % 0.69/0.87 apply (zenon_L117_); trivial. % 0.69/0.87 apply (zenon_L55_); trivial. % 0.69/0.87 (* end of lemma zenon_L118_ *) % 0.69/0.87 assert (zenon_L119_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(hskp6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H166 zenon_H93 zenon_H170 zenon_H16f zenon_H16e zenon_H90. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.87 apply (zenon_L103_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.87 apply (zenon_L57_); trivial. % 0.69/0.87 exact (zenon_H90 zenon_H91). % 0.69/0.87 (* end of lemma zenon_L119_ *) % 0.69/0.87 assert (zenon_L120_ : (forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H18d zenon_H10 zenon_H18e zenon_H18f zenon_H190. % 0.69/0.87 generalize (zenon_H18d (a8)). zenon_intro zenon_H191. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H191); [ zenon_intro zenon_Hf | zenon_intro zenon_H192 ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H194 | zenon_intro zenon_H193 ]. % 0.69/0.87 exact (zenon_H18e zenon_H194). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.69/0.87 exact (zenon_H18f zenon_H196). % 0.69/0.87 exact (zenon_H195 zenon_H190). % 0.69/0.87 (* end of lemma zenon_L120_ *) % 0.69/0.87 assert (zenon_L121_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((hskp2)\/(hskp4))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp4)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H197 zenon_H190 zenon_H18f zenon_H18e zenon_H10 zenon_H2c zenon_H27. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H18d | zenon_intro zenon_H198 ]. % 0.69/0.87 apply (zenon_L120_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H2d | zenon_intro zenon_H28 ]. % 0.69/0.87 exact (zenon_H2c zenon_H2d). % 0.69/0.87 exact (zenon_H27 zenon_H28). % 0.69/0.87 (* end of lemma zenon_L121_ *) % 0.69/0.87 assert (zenon_L122_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_Hb0 zenon_H10 zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.87 generalize (zenon_Hb0 (a6)). zenon_intro zenon_H19c. % 0.69/0.87 apply (zenon_imply_s _ _ zenon_H19c); [ zenon_intro zenon_Hf | zenon_intro zenon_H19d ]. % 0.69/0.87 exact (zenon_Hf zenon_H10). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.69/0.87 exact (zenon_H199 zenon_H19f). % 0.69/0.87 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.69/0.87 exact (zenon_H1a1 zenon_H19a). % 0.69/0.87 exact (zenon_H1a0 zenon_H19b). % 0.69/0.87 (* end of lemma zenon_L122_ *) % 0.69/0.87 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c1_1 (a10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.87 do 0 intro. intros zenon_H60 zenon_H1a2 zenon_H33 zenon_H32 zenon_H3b zenon_H47 zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.87 apply (zenon_L20_); trivial. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.87 apply (zenon_L24_); trivial. % 0.69/0.87 apply (zenon_L122_); trivial. % 0.69/0.87 (* end of lemma zenon_L123_ *) % 0.69/0.87 assert (zenon_L124_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.87 do 0 intro. intros zenon_H65 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.87 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.87 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.87 apply (zenon_L15_); trivial. % 0.69/0.87 apply (zenon_L123_); trivial. % 0.69/0.87 (* end of lemma zenon_L124_ *) % 0.69/0.87 assert (zenon_L125_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H9 zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a zenon_H6d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.88 apply (zenon_L6_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L12_); trivial. % 0.69/0.88 apply (zenon_L124_); trivial. % 0.69/0.88 apply (zenon_L81_); trivial. % 0.69/0.88 (* end of lemma zenon_L125_ *) % 0.69/0.88 assert (zenon_L126_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c3_1 (a38)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c0_1 (a38))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1a2 zenon_H86 zenon_H83 zenon_H84 zenon_H56 zenon_H4c zenon_H4b zenon_H47 zenon_H10 zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.88 apply (zenon_L35_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.88 apply (zenon_L24_); trivial. % 0.69/0.88 apply (zenon_L122_); trivial. % 0.69/0.88 (* end of lemma zenon_L126_ *) % 0.69/0.88 assert (zenon_L127_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp27)) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H84 zenon_H86 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H11 zenon_Hdc zenon_H186. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.88 apply (zenon_L112_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.88 apply (zenon_L126_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.88 apply (zenon_L58_); trivial. % 0.69/0.88 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.88 (* end of lemma zenon_L127_ *) % 0.69/0.88 assert (zenon_L128_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp11)\/((hskp20)\/(hskp7))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H11a zenon_H1a4 zenon_H6a zenon_H119 zenon_H116 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_H186 zenon_Hdc zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66 zenon_H1 zenon_H5 zenon_H7. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H3 | zenon_intro zenon_H1a5 ]. % 0.69/0.88 apply (zenon_L4_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H10. zenon_intro zenon_H1a6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L127_); trivial. % 0.69/0.88 apply (zenon_L73_); trivial. % 0.69/0.88 (* end of lemma zenon_L128_ *) % 0.69/0.88 assert (zenon_L129_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H166 zenon_H11d zenon_H6a zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_H5 zenon_H2e zenon_H2c zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.88 apply (zenon_L75_); trivial. % 0.69/0.88 (* end of lemma zenon_L129_ *) % 0.69/0.88 assert (zenon_L130_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H11a zenon_H163 zenon_H124 zenon_H123 zenon_H122 zenon_H13c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.88 apply (zenon_L44_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.88 apply (zenon_L83_); trivial. % 0.69/0.88 exact (zenon_H13c zenon_H13d). % 0.69/0.88 (* end of lemma zenon_L130_ *) % 0.69/0.88 assert (zenon_L131_ : ((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1a9 zenon_H29 zenon_H27. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H10. zenon_intro zenon_H1aa. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H144. zenon_intro zenon_H1ab. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H145. zenon_intro zenon_H146. % 0.69/0.88 apply (zenon_L92_); trivial. % 0.69/0.88 (* end of lemma zenon_L131_ *) % 0.69/0.88 assert (zenon_L132_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1ac zenon_H10 zenon_H1ad zenon_H151 zenon_H153. % 0.69/0.88 generalize (zenon_H1ac (a12)). zenon_intro zenon_H1ae. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1ae); [ zenon_intro zenon_Hf | zenon_intro zenon_H1af ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H15c ]. % 0.69/0.88 exact (zenon_H1ad zenon_H1b0). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H157 | zenon_intro zenon_H158 ]. % 0.69/0.88 exact (zenon_H151 zenon_H157). % 0.69/0.88 exact (zenon_H158 zenon_H153). % 0.69/0.88 (* end of lemma zenon_L132_ *) % 0.69/0.88 assert (zenon_L133_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a12))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1b1 zenon_H153 zenon_H151 zenon_H1ad zenon_H19b zenon_H19a zenon_H199 zenon_H10 zenon_H1b2. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1b3 ]. % 0.69/0.88 apply (zenon_L132_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1b4 ]. % 0.69/0.88 apply (zenon_L122_); trivial. % 0.69/0.88 exact (zenon_H1b2 zenon_H1b4). % 0.69/0.88 (* end of lemma zenon_L133_ *) % 0.69/0.88 assert (zenon_L134_ : (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c1_1 (a58))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a58)) -> (c3_1 (a58)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H179 zenon_H10 zenon_H1b5 zenon_Ha2 zenon_H1b6 zenon_H1b7. % 0.69/0.88 generalize (zenon_H179 (a58)). zenon_intro zenon_H1b8. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b9 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 0.69/0.88 exact (zenon_H1b5 zenon_H1bb). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 0.69/0.88 generalize (zenon_Ha2 (a58)). zenon_intro zenon_H1be. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1be); [ zenon_intro zenon_Hf | zenon_intro zenon_H1bf ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.69/0.88 exact (zenon_H1bd zenon_H1c1). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1bc ]. % 0.69/0.88 exact (zenon_H1c2 zenon_H1b6). % 0.69/0.88 exact (zenon_H1bc zenon_H1b7). % 0.69/0.88 exact (zenon_H1bc zenon_H1b7). % 0.69/0.88 (* end of lemma zenon_L134_ *) % 0.69/0.88 assert (zenon_L135_ : (~(hskp1)) -> (hskp1) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c3 zenon_H1c4. % 0.69/0.88 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.88 (* end of lemma zenon_L135_ *) % 0.69/0.88 assert (zenon_L136_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> (c3_1 (a58)) -> (c0_1 (a58)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a58))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c5 zenon_H1b7 zenon_H1b6 zenon_Ha2 zenon_H1b5 zenon_H10 zenon_H1c3 zenon_H13c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H179 | zenon_intro zenon_H1c6 ]. % 0.69/0.88 apply (zenon_L134_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H13d ]. % 0.69/0.88 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.88 exact (zenon_H13c zenon_H13d). % 0.69/0.88 (* end of lemma zenon_L136_ *) % 0.69/0.88 assert (zenon_L137_ : (~(hskp3)) -> (hskp3) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c7 zenon_H1c8. % 0.69/0.88 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.88 (* end of lemma zenon_L137_ *) % 0.69/0.88 assert (zenon_L138_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp25)) -> (~(hskp27)) -> (~(c3_1 (a92))) -> (~(c0_1 (a92))) -> (c2_1 (a92)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp0)) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a58))) -> (c0_1 (a58)) -> (c3_1 (a58)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> (~(hskp3)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c9 zenon_H13 zenon_H11 zenon_H19 zenon_H17 zenon_H16 zenon_H15 zenon_H13c zenon_H1c3 zenon_H10 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1c5 zenon_H1c7. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H18 | zenon_intro zenon_H1ca ]. % 0.69/0.88 apply (zenon_L10_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1c8 ]. % 0.69/0.88 apply (zenon_L136_); trivial. % 0.69/0.88 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.88 (* end of lemma zenon_L138_ *) % 0.69/0.88 assert (zenon_L139_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> (c3_1 (a58)) -> (c0_1 (a58)) -> (~(c1_1 (a58))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H69 zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H15 zenon_H13 zenon_H1c5 zenon_H13c zenon_H1c3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1c7 zenon_H1c9. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L138_); trivial. % 0.69/0.88 apply (zenon_L124_); trivial. % 0.69/0.88 (* end of lemma zenon_L139_ *) % 0.69/0.88 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1cb zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H9 zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H1c3 zenon_H13c zenon_H1c5 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a zenon_H6d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H10. zenon_intro zenon_H1cc. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b6. zenon_intro zenon_H1cd. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1b7. zenon_intro zenon_H1b5. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.88 apply (zenon_L6_); trivial. % 0.69/0.88 apply (zenon_L139_); trivial. % 0.69/0.88 apply (zenon_L81_); trivial. % 0.69/0.88 (* end of lemma zenon_L140_ *) % 0.69/0.88 assert (zenon_L141_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> (ndr1_0) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1ce zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H9 zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H1c3 zenon_H13c zenon_H1c5 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H1a2 zenon_H66 zenon_H6a zenon_H6d zenon_H10 zenon_H1ad zenon_H151 zenon_H153 zenon_H199 zenon_H19a zenon_H19b zenon_H1b1. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1cb ]. % 0.69/0.88 apply (zenon_L133_); trivial. % 0.69/0.88 apply (zenon_L140_); trivial. % 0.69/0.88 (* end of lemma zenon_L141_ *) % 0.69/0.88 assert (zenon_L142_ : ((ndr1_0)/\((c0_1 (a8))/\((~(c2_1 (a8)))/\(~(c3_1 (a8)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((hskp2)\/(hskp4))) -> (~(hskp2)) -> (~(hskp4)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1cf zenon_H197 zenon_H2c zenon_H27. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.69/0.88 apply (zenon_L121_); trivial. % 0.69/0.88 (* end of lemma zenon_L142_ *) % 0.69/0.88 assert (zenon_L143_ : (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H179 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4. % 0.69/0.88 generalize (zenon_H179 (a5)). zenon_intro zenon_H1d5. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1d5); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d6 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1d7 ]. % 0.69/0.88 exact (zenon_H1d2 zenon_H1d8). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 0.69/0.88 exact (zenon_H1da zenon_H1d3). % 0.69/0.88 exact (zenon_H1d9 zenon_H1d4). % 0.69/0.88 (* end of lemma zenon_L143_ *) % 0.69/0.88 assert (zenon_L144_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1c5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H1c3 zenon_H13c. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H179 | zenon_intro zenon_H1c6 ]. % 0.69/0.88 apply (zenon_L143_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H13d ]. % 0.69/0.88 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.88 exact (zenon_H13c zenon_H13d). % 0.69/0.88 (* end of lemma zenon_L144_ *) % 0.69/0.88 assert (zenon_L145_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H11a zenon_He3 zenon_Hdc zenon_Hde zenon_Hc6 zenon_H5 zenon_H90 zenon_Hc5 zenon_Hbf zenon_H5e zenon_H27 zenon_H29 zenon_Hc4. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.88 apply (zenon_L56_); trivial. % 0.69/0.88 (* end of lemma zenon_L145_ *) % 0.69/0.88 assert (zenon_L146_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H16d zenon_H119 zenon_H116 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_Hf0 zenon_Hf2 zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_H6d zenon_Hc4 zenon_Hbf zenon_Hc5 zenon_Hc6 zenon_Hde zenon_He3 zenon_H11d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.88 apply (zenon_L82_); trivial. % 0.69/0.88 apply (zenon_L145_); trivial. % 0.69/0.88 apply (zenon_L129_); trivial. % 0.69/0.88 (* end of lemma zenon_L146_ *) % 0.69/0.88 assert (zenon_L147_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp7)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1db zenon_H11d zenon_He3 zenon_Hde zenon_Hc6 zenon_Hc5 zenon_Hbf zenon_Hc4 zenon_H6d zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H27 zenon_H29 zenon_H5 zenon_Hb zenon_H81 zenon_H90 zenon_H93 zenon_H97 zenon_Hf2 zenon_Hf4 zenon_Hfa zenon_Hf8 zenon_Hfe zenon_H116 zenon_H119 zenon_H16d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.69/0.88 apply (zenon_L146_); trivial. % 0.69/0.88 apply (zenon_L131_); trivial. % 0.69/0.88 (* end of lemma zenon_L147_ *) % 0.69/0.88 assert (zenon_L148_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1dc zenon_H16c zenon_H143 zenon_H13e zenon_H12d zenon_H14f zenon_H163 zenon_H13c zenon_H162 zenon_H16d zenon_H119 zenon_H116 zenon_Hfe zenon_Hfa zenon_Hf4 zenon_Hf2 zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H5 zenon_H29 zenon_H27 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_H6d zenon_Hc4 zenon_Hbf zenon_Hc5 zenon_Hc6 zenon_Hde zenon_He3 zenon_H11d zenon_H1db. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.69/0.88 apply (zenon_L147_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.69/0.88 apply (zenon_L102_); trivial. % 0.69/0.88 (* end of lemma zenon_L148_ *) % 0.69/0.88 assert (zenon_L149_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H98 zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2. % 0.69/0.88 generalize (zenon_H98 (a4)). zenon_intro zenon_H1e3. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e4 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ]. % 0.69/0.88 exact (zenon_H1e0 zenon_H1e6). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.69/0.88 exact (zenon_H1e1 zenon_H1e8). % 0.69/0.88 exact (zenon_H1e7 zenon_H1e2). % 0.69/0.88 (* end of lemma zenon_L149_ *) % 0.69/0.88 assert (zenon_L150_ : (~(hskp8)) -> (hskp8) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1e9 zenon_H1ea. % 0.69/0.88 exact (zenon_H1e9 zenon_H1ea). % 0.69/0.88 (* end of lemma zenon_L150_ *) % 0.69/0.88 assert (zenon_L151_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp8)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1eb zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H11 zenon_H1e9. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H98 | zenon_intro zenon_H1ec ]. % 0.69/0.88 apply (zenon_L149_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ea ]. % 0.69/0.88 exact (zenon_H11 zenon_H12). % 0.69/0.88 exact (zenon_H1e9 zenon_H1ea). % 0.69/0.88 (* end of lemma zenon_L151_ *) % 0.69/0.88 assert (zenon_L152_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L151_); trivial. % 0.69/0.88 apply (zenon_L27_); trivial. % 0.69/0.88 (* end of lemma zenon_L152_ *) % 0.69/0.88 assert (zenon_L153_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc1 zenon_H6a zenon_H116 zenon_H93 zenon_H90 zenon_H47 zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.88 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L151_); trivial. % 0.69/0.88 apply (zenon_L117_); trivial. % 0.69/0.88 (* end of lemma zenon_L153_ *) % 0.69/0.88 assert (zenon_L154_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a34))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc4 zenon_H6a zenon_H116 zenon_H47 zenon_H18b zenon_H9a zenon_Hfe zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_Hc5 zenon_Haa zenon_H9b zenon_Ha3 zenon_H90 zenon_H93. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.88 apply (zenon_L111_); trivial. % 0.69/0.88 apply (zenon_L153_); trivial. % 0.69/0.88 (* end of lemma zenon_L154_ *) % 0.69/0.88 assert (zenon_L155_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_Hdc zenon_Hde zenon_H93 zenon_H90 zenon_Hc5 zenon_H170 zenon_H16f zenon_H16e zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_Hfe zenon_H18b zenon_H47 zenon_H116 zenon_H6a zenon_Hc4. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.88 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.88 apply (zenon_L154_); trivial. % 0.69/0.88 apply (zenon_L55_); trivial. % 0.69/0.88 (* end of lemma zenon_L155_ *) % 0.69/0.88 assert (zenon_L156_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H16d zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H2e zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb zenon_Hc4 zenon_H116 zenon_H18b zenon_Hfe zenon_H16e zenon_H16f zenon_H170 zenon_Hc5 zenon_H90 zenon_H93 zenon_Hde zenon_H27 zenon_H29 zenon_He3 zenon_H11d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.88 apply (zenon_L152_); trivial. % 0.69/0.88 apply (zenon_L155_); trivial. % 0.69/0.88 apply (zenon_L119_); trivial. % 0.69/0.88 (* end of lemma zenon_L156_ *) % 0.69/0.88 assert (zenon_L157_ : ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp25)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H10 zenon_H11 zenon_H13. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.69/0.88 generalize (zenon_H1b (a11)). zenon_intro zenon_H1f0. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f1 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H1f2 ]. % 0.69/0.88 exact (zenon_H1ef zenon_H1f3). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ]. % 0.69/0.88 exact (zenon_H1f5 zenon_H1ee). % 0.69/0.88 exact (zenon_H1f4 zenon_H1ed). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.69/0.88 exact (zenon_H11 zenon_H12). % 0.69/0.88 exact (zenon_H13 zenon_H14). % 0.69/0.88 (* end of lemma zenon_L157_ *) % 0.69/0.88 assert (zenon_L158_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L157_); trivial. % 0.69/0.88 apply (zenon_L27_); trivial. % 0.69/0.88 (* end of lemma zenon_L158_ *) % 0.69/0.88 assert (zenon_L159_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (ndr1_0) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H10 zenon_H2e zenon_H9 zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.88 apply (zenon_L158_); trivial. % 0.69/0.88 apply (zenon_L81_); trivial. % 0.69/0.88 (* end of lemma zenon_L159_ *) % 0.69/0.88 assert (zenon_L160_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1f6 zenon_H16d zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_Hc4 zenon_H18b zenon_H177 zenon_Hfe zenon_H186 zenon_H116 zenon_H119 zenon_H16e zenon_H16f zenon_H170 zenon_Hc5 zenon_Hde zenon_H27 zenon_H29 zenon_He3 zenon_H11d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.88 apply (zenon_L159_); trivial. % 0.69/0.88 apply (zenon_L118_); trivial. % 0.69/0.88 apply (zenon_L119_); trivial. % 0.69/0.88 (* end of lemma zenon_L160_ *) % 0.69/0.88 assert (zenon_L161_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.69/0.88 do 0 intro. intros zenon_Hc6 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H90 zenon_H5. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc7 ]. % 0.69/0.88 apply (zenon_L149_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H91 | zenon_intro zenon_H6 ]. % 0.69/0.88 exact (zenon_H90 zenon_H91). % 0.69/0.88 exact (zenon_H5 zenon_H6). % 0.69/0.88 (* end of lemma zenon_L161_ *) % 0.69/0.88 assert (zenon_L162_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L151_); trivial. % 0.69/0.88 apply (zenon_L124_); trivial. % 0.69/0.88 (* end of lemma zenon_L162_ *) % 0.69/0.88 assert (zenon_L163_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H16c zenon_H163 zenon_H13c zenon_H11d zenon_He3 zenon_H29 zenon_H27 zenon_Hde zenon_H93 zenon_H90 zenon_Hc5 zenon_H170 zenon_H16f zenon_H16e zenon_Hfe zenon_H18b zenon_H116 zenon_Hc4 zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H2e zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a zenon_H14f zenon_H16d. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.88 apply (zenon_L162_); trivial. % 0.69/0.88 apply (zenon_L155_); trivial. % 0.69/0.88 apply (zenon_L100_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.88 apply (zenon_L162_); trivial. % 0.69/0.88 apply (zenon_L130_); trivial. % 0.69/0.88 (* end of lemma zenon_L163_ *) % 0.69/0.88 assert (zenon_L164_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L157_); trivial. % 0.69/0.88 apply (zenon_L124_); trivial. % 0.69/0.88 (* end of lemma zenon_L164_ *) % 0.69/0.88 assert (zenon_L165_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (ndr1_0) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H10 zenon_H2e zenon_H9 zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.88 apply (zenon_L164_); trivial. % 0.69/0.88 apply (zenon_L81_); trivial. % 0.69/0.88 (* end of lemma zenon_L165_ *) % 0.69/0.88 assert (zenon_L166_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1f6 zenon_H16d zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a zenon_Hc4 zenon_H18b zenon_H177 zenon_Hfe zenon_H186 zenon_H116 zenon_H119 zenon_H16e zenon_H16f zenon_H170 zenon_Hc5 zenon_Hde zenon_H27 zenon_H29 zenon_He3 zenon_H11d. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.88 apply (zenon_L165_); trivial. % 0.69/0.88 apply (zenon_L118_); trivial. % 0.69/0.88 apply (zenon_L119_); trivial. % 0.69/0.88 (* end of lemma zenon_L166_ *) % 0.69/0.88 assert (zenon_L167_ : ((ndr1_0)/\((c2_1 (a5))/\((c3_1 (a5))/\(~(c1_1 (a5)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((hskp1)\/(hskp0))) -> (~(hskp1)) -> (~(hskp0)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1f9 zenon_H1c5 zenon_H1c3 zenon_H13c. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.69/0.88 apply (zenon_L144_); trivial. % 0.69/0.88 (* end of lemma zenon_L167_ *) % 0.69/0.88 assert (zenon_L168_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H49 zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe. % 0.69/0.88 generalize (zenon_H49 (a3)). zenon_intro zenon_H1ff. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_Hf | zenon_intro zenon_H200 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ]. % 0.69/0.88 exact (zenon_H1fc zenon_H202). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ]. % 0.69/0.88 exact (zenon_H204 zenon_H1fd). % 0.69/0.88 exact (zenon_H203 zenon_H1fe). % 0.69/0.88 (* end of lemma zenon_L168_ *) % 0.69/0.88 assert (zenon_L169_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (c3_1 (a38)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c0_1 (a38))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H61 zenon_H86 zenon_H83 zenon_H84 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H5e. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.88 apply (zenon_L35_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.88 apply (zenon_L168_); trivial. % 0.69/0.88 exact (zenon_H5e zenon_H5f). % 0.69/0.88 (* end of lemma zenon_L169_ *) % 0.69/0.88 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp5)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp10)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H60 zenon_Hf2 zenon_H5e zenon_H1fc zenon_H1fd zenon_H1fe zenon_H84 zenon_H86 zenon_H61 zenon_Hf0. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.88 apply (zenon_L169_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.88 apply (zenon_L58_); trivial. % 0.69/0.88 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.88 (* end of lemma zenon_L170_ *) % 0.69/0.88 assert (zenon_L171_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H84 zenon_H86 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H5e zenon_H61 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.88 apply (zenon_L62_); trivial. % 0.69/0.88 apply (zenon_L170_); trivial. % 0.69/0.88 (* end of lemma zenon_L171_ *) % 0.69/0.88 assert (zenon_L172_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp5)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H65 zenon_H61 zenon_H47 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H5e. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.88 apply (zenon_L20_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.88 apply (zenon_L168_); trivial. % 0.69/0.88 exact (zenon_H5e zenon_H5f). % 0.69/0.88 (* end of lemma zenon_L172_ *) % 0.69/0.88 assert (zenon_L173_ : ((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1a5 zenon_H6a zenon_H47 zenon_Hf4 zenon_H5 zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H10. zenon_intro zenon_H1a6. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L171_); trivial. % 0.69/0.88 apply (zenon_L172_); trivial. % 0.69/0.88 (* end of lemma zenon_L173_ *) % 0.69/0.88 assert (zenon_L174_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp11)\/((hskp20)\/(hskp7))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1a4 zenon_H6a zenon_H47 zenon_Hf4 zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hf0 zenon_Hf2 zenon_H66 zenon_H1 zenon_H5 zenon_H7. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H3 | zenon_intro zenon_H1a5 ]. % 0.69/0.88 apply (zenon_L4_); trivial. % 0.69/0.88 apply (zenon_L173_); trivial. % 0.69/0.88 (* end of lemma zenon_L174_ *) % 0.69/0.88 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (~(c2_1 (a64))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H60 zenon_Hf2 zenon_H71 zenon_H7c zenon_H70 zenon_H47 zenon_H81 zenon_Hf0. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.88 apply (zenon_L79_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.88 apply (zenon_L58_); trivial. % 0.69/0.88 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.88 (* end of lemma zenon_L175_ *) % 0.69/0.88 assert (zenon_L176_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a64))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp27)) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H47 zenon_H70 zenon_H7c zenon_H71 zenon_H81 zenon_H11 zenon_Hdc zenon_H186. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.88 apply (zenon_L112_); trivial. % 0.69/0.88 apply (zenon_L175_); trivial. % 0.69/0.88 (* end of lemma zenon_L176_ *) % 0.69/0.88 assert (zenon_L177_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H92 zenon_H6a zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_H186 zenon_Hdc zenon_H81 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L176_); trivial. % 0.69/0.88 apply (zenon_L172_); trivial. % 0.69/0.88 (* end of lemma zenon_L177_ *) % 0.69/0.88 assert (zenon_L178_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H166 zenon_H6a zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_Hf4 zenon_H5 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L63_); trivial. % 0.69/0.88 apply (zenon_L172_); trivial. % 0.69/0.88 (* end of lemma zenon_L178_ *) % 0.69/0.88 assert (zenon_L179_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H44 zenon_H10 zenon_H109 zenon_H10a zenon_H10b. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.88 apply (zenon_L168_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.88 apply (zenon_L107_); trivial. % 0.69/0.88 apply (zenon_L70_); trivial. % 0.69/0.88 (* end of lemma zenon_L179_ *) % 0.69/0.88 assert (zenon_L180_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp19)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H184 zenon_H78 zenon_H4b zenon_H4c zenon_H56 zenon_H47 zenon_H10b zenon_H10a zenon_H109 zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Haa. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.88 apply (zenon_L108_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.88 apply (zenon_L179_); trivial. % 0.69/0.88 exact (zenon_Haa zenon_Hab). % 0.69/0.88 (* end of lemma zenon_L180_ *) % 0.69/0.88 assert (zenon_L181_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H119 zenon_H66 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Haa zenon_H184 zenon_H47 zenon_Hdc zenon_H186 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.88 apply (zenon_L104_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.88 apply (zenon_L112_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.88 apply (zenon_L24_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.88 apply (zenon_L180_); trivial. % 0.69/0.88 apply (zenon_L70_); trivial. % 0.69/0.88 (* end of lemma zenon_L181_ *) % 0.69/0.88 assert (zenon_L182_ : (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> (c1_1 (a15)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H78 zenon_H10 zenon_Hed zenon_H109 zenon_H10b zenon_H10a. % 0.69/0.88 generalize (zenon_H78 (a15)). zenon_intro zenon_H180. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H180); [ zenon_intro zenon_Hf | zenon_intro zenon_H181 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.69/0.88 generalize (zenon_Hed (a15)). zenon_intro zenon_H205. % 0.69/0.88 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_Hf | zenon_intro zenon_H206 ]. % 0.69/0.88 exact (zenon_Hf zenon_H10). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H10f | zenon_intro zenon_H17e ]. % 0.69/0.88 exact (zenon_H10f zenon_H109). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H17f | zenon_intro zenon_H110 ]. % 0.69/0.88 exact (zenon_H17f zenon_H183). % 0.69/0.88 exact (zenon_H110 zenon_H10b). % 0.69/0.88 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H10f | zenon_intro zenon_H111 ]. % 0.69/0.88 exact (zenon_H10f zenon_H109). % 0.69/0.88 exact (zenon_H111 zenon_H10a). % 0.69/0.88 (* end of lemma zenon_L182_ *) % 0.69/0.88 assert (zenon_L183_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23)))))) -> (ndr1_0) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hed zenon_H10 zenon_H109 zenon_H10a zenon_H10b. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.88 apply (zenon_L168_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.88 apply (zenon_L182_); trivial. % 0.69/0.88 apply (zenon_L70_); trivial. % 0.69/0.88 (* end of lemma zenon_L183_ *) % 0.69/0.88 assert (zenon_L184_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a32)) -> (~(c2_1 (a32))) -> (~(c0_1 (a32))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H119 zenon_Hf2 zenon_Hf0 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_He6 zenon_He5 zenon_He4 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.88 apply (zenon_L104_); trivial. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.88 apply (zenon_L57_); trivial. % 0.69/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.88 apply (zenon_L183_); trivial. % 0.69/0.88 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.88 (* end of lemma zenon_L184_ *) % 0.69/0.88 assert (zenon_L185_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.88 do 0 intro. intros zenon_H166 zenon_H6a zenon_H61 zenon_H5e zenon_H47 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hf0 zenon_Hf2 zenon_H119. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.88 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.88 apply (zenon_L184_); trivial. % 0.69/0.88 apply (zenon_L172_); trivial. % 0.69/0.88 (* end of lemma zenon_L185_ *) % 0.69/0.88 assert (zenon_L186_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c3_1 (a38)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c0_1 (a38))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.88 do 0 intro. intros zenon_H1a2 zenon_H86 zenon_H83 zenon_H84 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.89 apply (zenon_L35_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.89 apply (zenon_L168_); trivial. % 0.69/0.89 apply (zenon_L122_); trivial. % 0.69/0.89 (* end of lemma zenon_L186_ *) % 0.69/0.89 assert (zenon_L187_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp10)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H60 zenon_Hf2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H84 zenon_H86 zenon_H1a2 zenon_Hf0. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.89 apply (zenon_L186_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.89 apply (zenon_L58_); trivial. % 0.69/0.89 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.89 (* end of lemma zenon_L187_ *) % 0.69/0.89 assert (zenon_L188_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a38))) -> (c3_1 (a38)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H84 zenon_H86 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.89 apply (zenon_L62_); trivial. % 0.69/0.89 apply (zenon_L187_); trivial. % 0.69/0.89 (* end of lemma zenon_L188_ *) % 0.69/0.89 assert (zenon_L189_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H65 zenon_H1a2 zenon_H47 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.89 apply (zenon_L20_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.89 apply (zenon_L168_); trivial. % 0.69/0.89 apply (zenon_L122_); trivial. % 0.69/0.89 (* end of lemma zenon_L189_ *) % 0.69/0.89 assert (zenon_L190_ : ((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a5 zenon_H6a zenon_H47 zenon_Hf4 zenon_H5 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H10. zenon_intro zenon_H1a6. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L188_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 (* end of lemma zenon_L190_ *) % 0.69/0.89 assert (zenon_L191_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp11)\/((hskp20)\/(hskp7))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a4 zenon_H6a zenon_H47 zenon_Hf4 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hf0 zenon_Hf2 zenon_H66 zenon_H1 zenon_H5 zenon_H7. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H3 | zenon_intro zenon_H1a5 ]. % 0.69/0.89 apply (zenon_L4_); trivial. % 0.69/0.89 apply (zenon_L190_); trivial. % 0.69/0.89 (* end of lemma zenon_L191_ *) % 0.69/0.89 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H186 zenon_Hdc zenon_H81 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L176_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 (* end of lemma zenon_L192_ *) % 0.69/0.89 assert (zenon_L193_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H166 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_Hf4 zenon_H5 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L63_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 (* end of lemma zenon_L193_ *) % 0.69/0.89 assert (zenon_L194_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> (~(c1_1 (a36))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H207 zenon_Hcc zenon_Hcb zenon_Hca zenon_H10 zenon_H2a zenon_H9. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H208 ]. % 0.69/0.89 apply (zenon_L49_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H2b | zenon_intro zenon_Ha ]. % 0.69/0.89 exact (zenon_H2a zenon_H2b). % 0.69/0.89 exact (zenon_H9 zenon_Ha). % 0.69/0.89 (* end of lemma zenon_L194_ *) % 0.69/0.89 assert (zenon_L195_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H209 zenon_H10 zenon_Hd3 zenon_Hca zenon_Hcc zenon_Hcb. % 0.69/0.89 generalize (zenon_H209 (a36)). zenon_intro zenon_H20a. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_Hf | zenon_intro zenon_H20b ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H20c ]. % 0.69/0.89 apply (zenon_L50_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ]. % 0.69/0.89 exact (zenon_Hca zenon_Hd0). % 0.69/0.89 exact (zenon_Hcb zenon_Hd2). % 0.69/0.89 (* end of lemma zenon_L195_ *) % 0.69/0.89 assert (zenon_L196_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H20d zenon_Hcb zenon_Hcc zenon_Hca zenon_H209 zenon_H56 zenon_H4c zenon_H4b zenon_H10 zenon_Hfc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H20e ]. % 0.69/0.89 apply (zenon_L195_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_Hed | zenon_intro zenon_Hfd ]. % 0.69/0.89 apply (zenon_L58_); trivial. % 0.69/0.89 exact (zenon_Hfc zenon_Hfd). % 0.69/0.89 (* end of lemma zenon_L196_ *) % 0.69/0.89 assert (zenon_L197_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp29)) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H60 zenon_H20f zenon_Hfc zenon_Hca zenon_Hcc zenon_Hcb zenon_H20d zenon_H47 zenon_H1c3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H209 | zenon_intro zenon_H210 ]. % 0.69/0.89 apply (zenon_L196_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H49 | zenon_intro zenon_H1c4 ]. % 0.69/0.89 apply (zenon_L24_); trivial. % 0.69/0.89 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.89 (* end of lemma zenon_L197_ *) % 0.69/0.89 assert (zenon_L198_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp29)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H66 zenon_H20f zenon_H1c3 zenon_H47 zenon_Hfc zenon_H20d zenon_H10 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.89 apply (zenon_L194_); trivial. % 0.69/0.89 apply (zenon_L197_); trivial. % 0.69/0.89 (* end of lemma zenon_L198_ *) % 0.69/0.89 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H112 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H109 zenon_H10a zenon_H10b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.89 apply (zenon_L168_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.89 apply (zenon_L114_); trivial. % 0.69/0.89 apply (zenon_L70_); trivial. % 0.69/0.89 (* end of lemma zenon_L199_ *) % 0.69/0.89 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> (~(c1_1 (a36))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H115 zenon_H116 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H207 zenon_H9 zenon_Hcc zenon_Hcb zenon_Hca zenon_H20d zenon_H47 zenon_H1c3 zenon_H20f zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.89 apply (zenon_L198_); trivial. % 0.69/0.89 apply (zenon_L199_); trivial. % 0.69/0.89 (* end of lemma zenon_L200_ *) % 0.69/0.89 assert (zenon_L201_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> (~(c1_1 (a36))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H119 zenon_H116 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H207 zenon_H9 zenon_Hcc zenon_Hcb zenon_Hca zenon_H20d zenon_H47 zenon_H1c3 zenon_H20f zenon_H66 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_L200_); trivial. % 0.69/0.89 (* end of lemma zenon_L201_ *) % 0.69/0.89 assert (zenon_L202_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_He0 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H66 zenon_H20f zenon_H1c3 zenon_H47 zenon_H20d zenon_H9 zenon_H207 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H116 zenon_H119. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L201_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 (* end of lemma zenon_L202_ *) % 0.69/0.89 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H115 zenon_H116 zenon_H47 zenon_H9a zenon_Ha3 zenon_H9b zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hfe. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.89 apply (zenon_L44_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.89 apply (zenon_L179_); trivial. % 0.69/0.89 exact (zenon_Hfc zenon_Hfd). % 0.69/0.89 apply (zenon_L199_); trivial. % 0.69/0.89 (* end of lemma zenon_L203_ *) % 0.69/0.89 assert (zenon_L204_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H119 zenon_H116 zenon_H47 zenon_H9a zenon_Ha3 zenon_H9b zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hfe zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_L203_); trivial. % 0.69/0.89 (* end of lemma zenon_L204_ *) % 0.69/0.89 assert (zenon_L205_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H11a zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_Hfe zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H47 zenon_H116 zenon_H119. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L204_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 (* end of lemma zenon_L205_ *) % 0.69/0.89 assert (zenon_L206_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H166 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Hf0 zenon_Hf2 zenon_H119. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L184_); trivial. % 0.69/0.89 apply (zenon_L189_); trivial. % 0.69/0.89 (* end of lemma zenon_L206_ *) % 0.69/0.89 assert (zenon_L207_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c0_1 (a2)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H40 zenon_H10 zenon_H211 zenon_Hac zenon_H212 zenon_H213. % 0.69/0.89 generalize (zenon_H40 (a2)). zenon_intro zenon_H214. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_Hf | zenon_intro zenon_H215 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.69/0.89 exact (zenon_H217 zenon_H211). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.69/0.89 generalize (zenon_Hac (a2)). zenon_intro zenon_H21a. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_Hf | zenon_intro zenon_H21b ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 0.69/0.89 exact (zenon_H219 zenon_H21d). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H21e | zenon_intro zenon_H218 ]. % 0.69/0.89 exact (zenon_H212 zenon_H21e). % 0.69/0.89 exact (zenon_H218 zenon_H213). % 0.69/0.89 exact (zenon_H218 zenon_H213). % 0.69/0.89 (* end of lemma zenon_L207_ *) % 0.69/0.89 assert (zenon_L208_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (c0_1 (a2)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H47 zenon_H213 zenon_H212 zenon_Hac zenon_H211 zenon_H10 zenon_H49 zenon_H4b zenon_H4c zenon_H56. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.89 apply (zenon_L22_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.89 apply (zenon_L207_); trivial. % 0.69/0.89 apply (zenon_L23_); trivial. % 0.69/0.89 (* end of lemma zenon_L208_ *) % 0.69/0.89 assert (zenon_L209_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp19)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (c3_1 (a15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (ndr1_0) -> (c0_1 (a2)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H81 zenon_Haa zenon_H10a zenon_H109 zenon_H10b zenon_H47 zenon_H56 zenon_H4c zenon_H4b zenon_H184 zenon_H10 zenon_H211 zenon_Hac zenon_H212 zenon_H213. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.89 apply (zenon_L208_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.89 apply (zenon_L109_); trivial. % 0.69/0.89 apply (zenon_L207_); trivial. % 0.69/0.89 (* end of lemma zenon_L209_ *) % 0.69/0.89 assert (zenon_L210_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H119 zenon_H116 zenon_H186 zenon_Hdc zenon_H81 zenon_Haa zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_Hfe zenon_H66 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.89 apply (zenon_L112_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.89 apply (zenon_L209_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.89 apply (zenon_L113_); trivial. % 0.69/0.89 exact (zenon_Hfc zenon_Hfd). % 0.69/0.89 apply (zenon_L115_); trivial. % 0.69/0.89 (* end of lemma zenon_L210_ *) % 0.69/0.89 assert (zenon_L211_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Ha2 zenon_H10 zenon_H212 zenon_H211 zenon_H213. % 0.69/0.89 generalize (zenon_Ha2 (a2)). zenon_intro zenon_H21f. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_Hf | zenon_intro zenon_H220 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21e | zenon_intro zenon_H221 ]. % 0.69/0.89 exact (zenon_H212 zenon_H21e). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 0.69/0.89 exact (zenon_H217 zenon_H211). % 0.69/0.89 exact (zenon_H218 zenon_H213). % 0.69/0.89 (* end of lemma zenon_L211_ *) % 0.69/0.89 assert (zenon_L212_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp3)) -> False). % 0.69/0.89 do 0 intro. intros zenon_He0 zenon_H1c9 zenon_Hdc zenon_Hde zenon_H213 zenon_H211 zenon_H212 zenon_H1c7. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H18 | zenon_intro zenon_H1ca ]. % 0.69/0.89 apply (zenon_L53_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1c8 ]. % 0.69/0.89 apply (zenon_L211_); trivial. % 0.69/0.89 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.89 (* end of lemma zenon_L212_ *) % 0.69/0.89 assert (zenon_L213_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H11d zenon_H29 zenon_H27 zenon_H93 zenon_H90 zenon_Hc5 zenon_H18b zenon_Hc4 zenon_H6a zenon_H61 zenon_H5e zenon_H2c zenon_H2e zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H66 zenon_Hfe zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H184 zenon_H81 zenon_Hdc zenon_H186 zenon_H116 zenon_H119 zenon_Hde zenon_H1c7 zenon_H1c9 zenon_He3. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L210_); trivial. % 0.69/0.89 apply (zenon_L27_); trivial. % 0.69/0.89 apply (zenon_L212_); trivial. % 0.69/0.89 apply (zenon_L118_); trivial. % 0.69/0.89 (* end of lemma zenon_L213_ *) % 0.69/0.89 assert (zenon_L214_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp25)) -> (~(hskp27)) -> (~(c3_1 (a92))) -> (~(c0_1 (a92))) -> (c2_1 (a92)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1c9 zenon_H13 zenon_H11 zenon_H19 zenon_H17 zenon_H16 zenon_H15 zenon_H213 zenon_H211 zenon_H212 zenon_H10 zenon_H1c7. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H18 | zenon_intro zenon_H1ca ]. % 0.69/0.89 apply (zenon_L10_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1c8 ]. % 0.69/0.89 apply (zenon_L211_); trivial. % 0.69/0.89 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.89 (* end of lemma zenon_L214_ *) % 0.69/0.89 assert (zenon_L215_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H69 zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L214_); trivial. % 0.69/0.89 apply (zenon_L124_); trivial. % 0.69/0.89 (* end of lemma zenon_L215_ *) % 0.69/0.89 assert (zenon_L216_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_Hb zenon_H9 zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a zenon_H6d. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.89 apply (zenon_L6_); trivial. % 0.69/0.89 apply (zenon_L215_); trivial. % 0.69/0.89 apply (zenon_L81_); trivial. % 0.69/0.89 (* end of lemma zenon_L216_ *) % 0.69/0.89 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp7)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H169 zenon_H11d zenon_H163 zenon_H13c zenon_H6d zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_H5 zenon_Hb zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_L216_); trivial. % 0.69/0.89 apply (zenon_L130_); trivial. % 0.69/0.89 (* end of lemma zenon_L217_ *) % 0.69/0.89 assert (zenon_L218_ : ((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp3)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1a9 zenon_H1c9 zenon_H213 zenon_H211 zenon_H212 zenon_H1c7. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H10. zenon_intro zenon_H1aa. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H144. zenon_intro zenon_H1ab. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H145. zenon_intro zenon_H146. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H18 | zenon_intro zenon_H1ca ]. % 0.69/0.89 apply (zenon_L91_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1c8 ]. % 0.69/0.89 apply (zenon_L211_); trivial. % 0.69/0.89 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.89 (* end of lemma zenon_L218_ *) % 0.69/0.89 assert (zenon_L219_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H2c zenon_H9 zenon_H2e zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H66 zenon_Hfe zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H184 zenon_Haa zenon_H81 zenon_Hdc zenon_H186 zenon_H116 zenon_H119. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L210_); trivial. % 0.69/0.89 apply (zenon_L124_); trivial. % 0.69/0.89 (* end of lemma zenon_L219_ *) % 0.69/0.89 assert (zenon_L220_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H119 zenon_H66 zenon_H163 zenon_H13c zenon_H124 zenon_H123 zenon_H122 zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H184 zenon_Haa zenon_H81 zenon_Hdc zenon_H186 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.89 apply (zenon_L112_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.89 apply (zenon_L209_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.89 apply (zenon_L83_); trivial. % 0.69/0.89 exact (zenon_H13c zenon_H13d). % 0.69/0.89 (* end of lemma zenon_L220_ *) % 0.69/0.89 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp19)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H65 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_Haa. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.89 apply (zenon_L143_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.89 apply (zenon_L19_); trivial. % 0.69/0.89 exact (zenon_Haa zenon_Hab). % 0.69/0.89 (* end of lemma zenon_L221_ *) % 0.69/0.89 assert (zenon_L222_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H69 zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L214_); trivial. % 0.69/0.89 apply (zenon_L221_); trivial. % 0.69/0.89 (* end of lemma zenon_L222_ *) % 0.69/0.89 assert (zenon_L223_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H6d zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_H5 zenon_H9 zenon_Hb. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.89 apply (zenon_L6_); trivial. % 0.69/0.89 apply (zenon_L222_); trivial. % 0.69/0.89 (* end of lemma zenon_L223_ *) % 0.69/0.89 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H92 zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H186 zenon_Hdc zenon_H81 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L176_); trivial. % 0.69/0.89 apply (zenon_L221_); trivial. % 0.69/0.89 (* end of lemma zenon_L224_ *) % 0.69/0.89 assert (zenon_L225_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a92))) -> (~(c3_1 (a92))) -> (c2_1 (a92)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H222 zenon_H10 zenon_H17 zenon_H19 zenon_H16. % 0.69/0.89 generalize (zenon_H222 (a92)). zenon_intro zenon_H223. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_Hf | zenon_intro zenon_H224 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H25 | zenon_intro zenon_H225 ]. % 0.69/0.89 exact (zenon_H17 zenon_H25). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ]. % 0.69/0.89 exact (zenon_H19 zenon_H1f). % 0.69/0.89 exact (zenon_H20 zenon_H16). % 0.69/0.89 (* end of lemma zenon_L225_ *) % 0.69/0.89 assert (zenon_L226_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> (c2_1 (a92)) -> (~(c3_1 (a92))) -> (~(c0_1 (a92))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(hskp3)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H226 zenon_H16 zenon_H19 zenon_H17 zenon_Hcc zenon_Hca zenon_H10 zenon_H18 zenon_H1c7. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H222 | zenon_intro zenon_H227 ]. % 0.69/0.89 apply (zenon_L225_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1c8 ]. % 0.69/0.89 apply (zenon_L51_); trivial. % 0.69/0.89 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.89 (* end of lemma zenon_L226_ *) % 0.69/0.89 assert (zenon_L227_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp3)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H69 zenon_H1c9 zenon_Hca zenon_Hcc zenon_H226 zenon_H213 zenon_H211 zenon_H212 zenon_H1c7. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H18 | zenon_intro zenon_H1ca ]. % 0.69/0.89 apply (zenon_L226_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1c8 ]. % 0.69/0.89 apply (zenon_L211_); trivial. % 0.69/0.89 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.89 (* end of lemma zenon_L227_ *) % 0.69/0.89 assert (zenon_L228_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> False). % 0.69/0.89 do 0 intro. intros zenon_He0 zenon_H6d zenon_H1c9 zenon_H213 zenon_H211 zenon_H212 zenon_H1c7 zenon_H226 zenon_H5 zenon_H9 zenon_Hb. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.89 apply (zenon_L6_); trivial. % 0.69/0.89 apply (zenon_L227_); trivial. % 0.69/0.89 (* end of lemma zenon_L228_ *) % 0.69/0.89 assert (zenon_L229_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_He3 zenon_H226 zenon_H6d zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H15 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_H5 zenon_H9 zenon_Hb zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H47 zenon_H81 zenon_Hdc zenon_H186 zenon_H97. % 0.69/0.89 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.89 apply (zenon_L223_); trivial. % 0.69/0.89 apply (zenon_L224_); trivial. % 0.69/0.89 apply (zenon_L228_); trivial. % 0.69/0.89 (* end of lemma zenon_L229_ *) % 0.69/0.89 assert (zenon_L230_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H98 zenon_H10 zenon_H49 zenon_H1d2 zenon_H1d3 zenon_H1d4. % 0.69/0.89 generalize (zenon_H98 (a5)). zenon_intro zenon_H228. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_Hf | zenon_intro zenon_H229 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 0.69/0.89 generalize (zenon_H49 (a5)). zenon_intro zenon_H22c. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_Hf | zenon_intro zenon_H22d ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ]. % 0.69/0.89 exact (zenon_H1d2 zenon_H1d8). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H22f | zenon_intro zenon_H1da ]. % 0.69/0.89 exact (zenon_H22f zenon_H22b). % 0.69/0.89 exact (zenon_H1da zenon_H1d3). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1d9 ]. % 0.69/0.89 exact (zenon_H1d2 zenon_H1d8). % 0.69/0.89 exact (zenon_H1d9 zenon_H1d4). % 0.69/0.89 (* end of lemma zenon_L230_ *) % 0.69/0.89 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp27)) -> (~(hskp8)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H112 zenon_H1eb zenon_H10b zenon_H10a zenon_H109 zenon_H47 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H11 zenon_H1e9. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H98 | zenon_intro zenon_H1ec ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.89 apply (zenon_L230_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.89 apply (zenon_L114_); trivial. % 0.69/0.89 apply (zenon_L70_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ea ]. % 0.69/0.89 exact (zenon_H11 zenon_H12). % 0.69/0.89 exact (zenon_H1e9 zenon_H1ea). % 0.69/0.89 (* end of lemma zenon_L231_ *) % 0.69/0.89 assert (zenon_L232_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (~(hskp27)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H115 zenon_H116 zenon_H47 zenon_Hfe zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H9b zenon_Ha3 zenon_H9a zenon_H11 zenon_H1e9 zenon_H1eb. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H98 | zenon_intro zenon_H1ec ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.89 apply (zenon_L44_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.89 apply (zenon_L230_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.89 apply (zenon_L107_); trivial. % 0.69/0.89 apply (zenon_L70_); trivial. % 0.69/0.89 exact (zenon_Hfc zenon_Hfd). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ea ]. % 0.69/0.89 exact (zenon_H11 zenon_H12). % 0.69/0.89 exact (zenon_H1e9 zenon_H1ea). % 0.69/0.89 apply (zenon_L231_); trivial. % 0.69/0.89 (* end of lemma zenon_L232_ *) % 0.69/0.89 assert (zenon_L233_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (~(hskp27)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H9b zenon_Ha3 zenon_H9a zenon_H11 zenon_H1e9 zenon_H1eb zenon_H5 zenon_Hf8 zenon_Hfa. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.89 apply (zenon_L66_); trivial. % 0.69/0.89 apply (zenon_L232_); trivial. % 0.69/0.89 (* end of lemma zenon_L233_ *) % 0.69/0.89 assert (zenon_L234_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H6a zenon_H184 zenon_Haa zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1eb zenon_H1e9 zenon_H9a zenon_Ha3 zenon_H9b zenon_H81 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_Hfe zenon_H47 zenon_H116 zenon_H119. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L233_); trivial. % 0.69/0.89 apply (zenon_L221_); trivial. % 0.69/0.89 (* end of lemma zenon_L234_ *) % 0.69/0.89 assert (zenon_L235_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H230 zenon_H9b zenon_Ha3 zenon_H9a zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_Ha8. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.69/0.89 apply (zenon_L44_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.69/0.89 apply (zenon_L143_); trivial. % 0.69/0.89 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.89 (* end of lemma zenon_L235_ *) % 0.69/0.89 assert (zenon_L236_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H162 zenon_H151 zenon_H153 zenon_H13c zenon_H163 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.89 apply (zenon_L235_); trivial. % 0.69/0.89 apply (zenon_L98_); trivial. % 0.69/0.89 (* end of lemma zenon_L236_ *) % 0.69/0.89 assert (zenon_L237_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H166 zenon_H11d zenon_Hc4 zenon_H162 zenon_H151 zenon_H153 zenon_H13c zenon_H163 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H2e zenon_H2c zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_L61_); trivial. % 0.69/0.89 apply (zenon_L236_); trivial. % 0.69/0.89 (* end of lemma zenon_L237_ *) % 0.69/0.89 assert (zenon_L238_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1dd zenon_H1db zenon_H11d zenon_Hc4 zenon_H162 zenon_H13c zenon_H163 zenon_H230 zenon_H97 zenon_H186 zenon_H81 zenon_H47 zenon_Hf2 zenon_H66 zenon_Hb zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_H15 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H6d zenon_H226 zenon_He3 zenon_H2c zenon_H2e zenon_H16d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_L229_); trivial. % 0.69/0.89 apply (zenon_L236_); trivial. % 0.69/0.89 apply (zenon_L237_); trivial. % 0.69/0.89 apply (zenon_L218_); trivial. % 0.69/0.89 (* end of lemma zenon_L238_ *) % 0.69/0.89 assert (zenon_L239_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L157_); trivial. % 0.69/0.89 apply (zenon_L221_); trivial. % 0.69/0.89 (* end of lemma zenon_L239_ *) % 0.69/0.89 assert (zenon_L240_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H166 zenon_H11d zenon_H163 zenon_H13c zenon_H124 zenon_H123 zenon_H122 zenon_H2e zenon_H2c zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_L61_); trivial. % 0.69/0.89 apply (zenon_L130_); trivial. % 0.69/0.89 (* end of lemma zenon_L240_ *) % 0.69/0.89 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp7)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H169 zenon_H16d zenon_H2e zenon_H2c zenon_He3 zenon_H226 zenon_H6d zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H15 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_H5 zenon_Hb zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H47 zenon_H81 zenon_H186 zenon_H97 zenon_H13c zenon_H163 zenon_H11d. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_L229_); trivial. % 0.69/0.89 apply (zenon_L130_); trivial. % 0.69/0.89 apply (zenon_L240_); trivial. % 0.69/0.89 (* end of lemma zenon_L241_ *) % 0.69/0.89 assert (zenon_L242_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10b zenon_H109 zenon_H78 zenon_H10a zenon_H10 zenon_Haa. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.89 apply (zenon_L143_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.89 apply (zenon_L107_); trivial. % 0.69/0.89 exact (zenon_Haa zenon_Hab). % 0.69/0.89 (* end of lemma zenon_L242_ *) % 0.69/0.89 assert (zenon_L243_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp19)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (c3_1 (a15)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (ndr1_0) -> (c0_1 (a2)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H81 zenon_H56 zenon_H4c zenon_H4b zenon_H47 zenon_Haa zenon_H10a zenon_H109 zenon_H10b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H10 zenon_H211 zenon_Hac zenon_H212 zenon_H213. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.89 apply (zenon_L208_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.89 apply (zenon_L242_); trivial. % 0.69/0.89 apply (zenon_L207_); trivial. % 0.69/0.89 (* end of lemma zenon_L243_ *) % 0.69/0.89 assert (zenon_L244_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H119 zenon_H116 zenon_H1eb zenon_H1e9 zenon_H186 zenon_Hdc zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_Hfe zenon_H66 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.89 apply (zenon_L104_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.89 apply (zenon_L112_); trivial. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.89 apply (zenon_L243_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.89 apply (zenon_L113_); trivial. % 0.69/0.89 exact (zenon_Hfc zenon_Hfd). % 0.69/0.89 apply (zenon_L231_); trivial. % 0.69/0.89 (* end of lemma zenon_L244_ *) % 0.69/0.89 assert (zenon_L245_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_He3 zenon_H1c9 zenon_H1c7 zenon_Hde zenon_H119 zenon_H116 zenon_H1eb zenon_H1e9 zenon_H186 zenon_Hdc zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_Hfe zenon_H66 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a. % 0.69/0.89 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.89 apply (zenon_L244_); trivial. % 0.69/0.89 apply (zenon_L221_); trivial. % 0.69/0.89 apply (zenon_L212_); trivial. % 0.69/0.89 (* end of lemma zenon_L245_ *) % 0.69/0.89 assert (zenon_L246_ : (forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17)))))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H121 zenon_H10 zenon_H1ef zenon_H188 zenon_H1ee zenon_H1ed. % 0.69/0.89 generalize (zenon_H121 (a11)). zenon_intro zenon_H232. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H232); [ zenon_intro zenon_Hf | zenon_intro zenon_H233 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H234 ]. % 0.69/0.89 exact (zenon_H1ef zenon_H1f3). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H235 | zenon_intro zenon_H1f5 ]. % 0.69/0.89 generalize (zenon_H188 (a11)). zenon_intro zenon_H236. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_Hf | zenon_intro zenon_H237 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H238 | zenon_intro zenon_H1f2 ]. % 0.69/0.89 exact (zenon_H235 zenon_H238). % 0.69/0.89 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ]. % 0.69/0.89 exact (zenon_H1f5 zenon_H1ee). % 0.69/0.89 exact (zenon_H1f4 zenon_H1ed). % 0.69/0.89 exact (zenon_H1f5 zenon_H1ee). % 0.69/0.89 (* end of lemma zenon_L246_ *) % 0.69/0.89 assert (zenon_L247_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17)))))) -> (~(c3_1 (a11))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H163 zenon_H9b zenon_Ha3 zenon_H9a zenon_H1ed zenon_H1ee zenon_H188 zenon_H1ef zenon_H10 zenon_H13c. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.89 apply (zenon_L44_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.89 apply (zenon_L246_); trivial. % 0.69/0.89 exact (zenon_H13c zenon_H13d). % 0.69/0.89 (* end of lemma zenon_L247_ *) % 0.69/0.89 assert (zenon_L248_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c1_1 (a34))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp6)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Hc1 zenon_H93 zenon_H170 zenon_H16f zenon_H16e zenon_H9b zenon_Ha3 zenon_H163 zenon_H9a zenon_H1ed zenon_H1ee zenon_H1ef zenon_H13c zenon_H18b zenon_H90. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.89 apply (zenon_L103_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.89 apply (zenon_L247_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.89 apply (zenon_L97_); trivial. % 0.69/0.89 apply (zenon_L93_); trivial. % 0.69/0.89 exact (zenon_H90 zenon_H91). % 0.69/0.89 (* end of lemma zenon_L248_ *) % 0.69/0.89 assert (zenon_L249_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H93 zenon_H90 zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.89 apply (zenon_L235_); trivial. % 0.69/0.89 apply (zenon_L248_); trivial. % 0.69/0.89 (* end of lemma zenon_L249_ *) % 0.69/0.89 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_H1f6 zenon_H11d zenon_Hc4 zenon_H163 zenon_H13c zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.89 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.89 apply (zenon_L159_); trivial. % 0.69/0.89 apply (zenon_L249_); trivial. % 0.69/0.89 (* end of lemma zenon_L250_ *) % 0.69/0.89 assert (zenon_L251_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.69/0.89 do 0 intro. intros zenon_H239 zenon_Hcb zenon_Hcc zenon_Hca zenon_Hd3 zenon_H190 zenon_H18f zenon_H18e zenon_H10 zenon_H2c. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H209 | zenon_intro zenon_H23a ]. % 0.69/0.89 apply (zenon_L195_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H18d | zenon_intro zenon_H2d ]. % 0.69/0.89 apply (zenon_L120_); trivial. % 0.69/0.89 exact (zenon_H2c zenon_H2d). % 0.69/0.89 (* end of lemma zenon_L251_ *) % 0.69/0.89 assert (zenon_L252_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp2)) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp17)) -> False). % 0.69/0.89 do 0 intro. intros zenon_He0 zenon_Hde zenon_H2c zenon_H18e zenon_H18f zenon_H190 zenon_H239 zenon_Hdc. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.89 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hdf ]. % 0.69/0.89 apply (zenon_L49_); trivial. % 0.69/0.89 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hdd ]. % 0.69/0.89 apply (zenon_L251_); trivial. % 0.69/0.89 exact (zenon_Hdc zenon_Hdd). % 0.69/0.89 (* end of lemma zenon_L252_ *) % 0.69/0.89 assert (zenon_L253_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.89 do 0 intro. intros zenon_He3 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_Hde zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H15 zenon_Hf2 zenon_Hf0 zenon_H81 zenon_Hdc zenon_H186 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H97. % 0.69/0.89 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.89 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.89 apply (zenon_L158_); trivial. % 0.69/0.89 apply (zenon_L224_); trivial. % 0.69/0.89 apply (zenon_L212_); trivial. % 0.69/0.89 (* end of lemma zenon_L253_ *) % 0.69/0.89 assert (zenon_L254_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.89 do 0 intro. intros zenon_Ha2 zenon_H10 zenon_Ha3 zenon_H209 zenon_H9a zenon_H9b. % 0.69/0.89 generalize (zenon_Ha2 (a34)). zenon_intro zenon_Ha4. % 0.69/0.89 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_Hf | zenon_intro zenon_Ha5 ]. % 0.69/0.89 exact (zenon_Hf zenon_H10). % 0.69/0.89 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.69/0.90 exact (zenon_Ha3 zenon_Ha7). % 0.69/0.90 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha0 ]. % 0.69/0.90 generalize (zenon_H209 (a34)). zenon_intro zenon_H23b. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_Hf | zenon_intro zenon_H23c ]. % 0.69/0.90 exact (zenon_Hf zenon_H10). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H9f | zenon_intro zenon_H23d ]. % 0.69/0.90 exact (zenon_H99 zenon_H9f). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha7 ]. % 0.69/0.90 exact (zenon_H9a zenon_Ha1). % 0.69/0.90 exact (zenon_Ha3 zenon_Ha7). % 0.69/0.90 exact (zenon_Ha0 zenon_H9b). % 0.69/0.90 (* end of lemma zenon_L254_ *) % 0.69/0.90 assert (zenon_L255_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp0)) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H18b zenon_H13c zenon_H1ef zenon_H1ee zenon_H1ed zenon_H163 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H10 zenon_Ha3 zenon_H209 zenon_H9a zenon_H9b. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.90 apply (zenon_L247_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.90 apply (zenon_L97_); trivial. % 0.69/0.90 apply (zenon_L254_); trivial. % 0.69/0.90 (* end of lemma zenon_L255_ *) % 0.69/0.90 assert (zenon_L256_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c3_1 (a34)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(hskp2)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc1 zenon_H239 zenon_H9b zenon_H9a zenon_Ha3 zenon_H163 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H13c zenon_H18b zenon_H190 zenon_H18f zenon_H18e zenon_H2c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H209 | zenon_intro zenon_H23a ]. % 0.69/0.90 apply (zenon_L255_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H18d | zenon_intro zenon_H2d ]. % 0.69/0.90 apply (zenon_L120_); trivial. % 0.69/0.90 exact (zenon_H2c zenon_H2d). % 0.69/0.90 (* end of lemma zenon_L256_ *) % 0.69/0.90 assert (zenon_L257_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L235_); trivial. % 0.69/0.90 apply (zenon_L256_); trivial. % 0.69/0.90 (* end of lemma zenon_L257_ *) % 0.69/0.90 assert (zenon_L258_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H166 zenon_H11d zenon_Hc4 zenon_H239 zenon_H190 zenon_H18f zenon_H18e zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H2e zenon_H2c zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L61_); trivial. % 0.69/0.90 apply (zenon_L257_); trivial. % 0.69/0.90 (* end of lemma zenon_L258_ *) % 0.69/0.90 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a18)))/\((~(c1_1 (a18)))/\(~(c3_1 (a18))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1f6 zenon_H1db zenon_H11d zenon_Hc4 zenon_H239 zenon_H190 zenon_H18f zenon_H18e zenon_H163 zenon_H13c zenon_H18b zenon_H230 zenon_H97 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H186 zenon_H81 zenon_Hf2 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_Hde zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_He3 zenon_H16d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L253_); trivial. % 0.69/0.90 apply (zenon_L257_); trivial. % 0.69/0.90 apply (zenon_L258_); trivial. % 0.69/0.90 apply (zenon_L218_); trivial. % 0.69/0.90 (* end of lemma zenon_L259_ *) % 0.69/0.90 assert (zenon_L260_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H6a zenon_H184 zenon_Haa zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H1eb zenon_H1e9 zenon_H9a zenon_Ha3 zenon_H9b zenon_H81 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_Hfe zenon_H47 zenon_H116 zenon_H119. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.90 apply (zenon_L104_); trivial. % 0.69/0.90 apply (zenon_L232_); trivial. % 0.69/0.90 apply (zenon_L221_); trivial. % 0.69/0.90 (* end of lemma zenon_L260_ *) % 0.69/0.90 assert (zenon_L261_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> (c3_1 (a32)) -> (~(c2_1 (a32))) -> (~(c0_1 (a32))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp9)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H23e zenon_He6 zenon_He5 zenon_He4 zenon_Hcb zenon_Hcc zenon_Hca zenon_H10 zenon_H209 zenon_Hf8. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H83 | zenon_intro zenon_H23f ]. % 0.69/0.90 apply (zenon_L57_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hf9 ]. % 0.69/0.90 apply (zenon_L195_); trivial. % 0.69/0.90 exact (zenon_Hf8 zenon_Hf9). % 0.69/0.90 (* end of lemma zenon_L261_ *) % 0.69/0.90 assert (zenon_L262_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp9)) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(hskp2)) -> False). % 0.69/0.90 do 0 intro. intros zenon_He0 zenon_H239 zenon_Hf8 zenon_He4 zenon_He5 zenon_He6 zenon_H23e zenon_H190 zenon_H18f zenon_H18e zenon_H2c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.90 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H209 | zenon_intro zenon_H23a ]. % 0.69/0.90 apply (zenon_L261_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H18d | zenon_intro zenon_H2d ]. % 0.69/0.90 apply (zenon_L120_); trivial. % 0.69/0.90 exact (zenon_H2c zenon_H2d). % 0.69/0.90 (* end of lemma zenon_L262_ *) % 0.69/0.90 assert (zenon_L263_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H166 zenon_H11d zenon_He3 zenon_H239 zenon_H190 zenon_H18f zenon_H18e zenon_Hf8 zenon_H23e zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H1e9 zenon_H1eb zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H184 zenon_H6a zenon_H2e zenon_H2c zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L61_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L260_); trivial. % 0.69/0.90 apply (zenon_L262_); trivial. % 0.69/0.90 (* end of lemma zenon_L263_ *) % 0.69/0.90 assert (zenon_L264_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (c1_1 (a15)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H44 zenon_H10 zenon_H10a zenon_Ha2 zenon_H109 zenon_H10b. % 0.69/0.90 generalize (zenon_H44 (a15)). zenon_intro zenon_H17c. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_Hf | zenon_intro zenon_H17d ]. % 0.69/0.90 exact (zenon_Hf zenon_H10). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H111 | zenon_intro zenon_H17e ]. % 0.69/0.90 exact (zenon_H111 zenon_H10a). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H17f | zenon_intro zenon_H110 ]. % 0.69/0.90 generalize (zenon_Ha2 (a15)). zenon_intro zenon_H240. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_Hf | zenon_intro zenon_H241 ]. % 0.69/0.90 exact (zenon_Hf zenon_H10). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H183 | zenon_intro zenon_H242 ]. % 0.69/0.90 exact (zenon_H17f zenon_H183). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H10f | zenon_intro zenon_H110 ]. % 0.69/0.90 exact (zenon_H10f zenon_H109). % 0.69/0.90 exact (zenon_H110 zenon_H10b). % 0.69/0.90 exact (zenon_H110 zenon_H10b). % 0.69/0.90 (* end of lemma zenon_L264_ *) % 0.69/0.90 assert (zenon_L265_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (ndr1_0) -> (forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))) -> (~(hskp22)) -> (~(hskp19)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc5 zenon_H10b zenon_H109 zenon_H10a zenon_H10 zenon_H44 zenon_Ha8 zenon_Haa. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc8 ]. % 0.69/0.90 apply (zenon_L264_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hab ]. % 0.69/0.90 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.90 exact (zenon_Haa zenon_Hab). % 0.69/0.90 (* end of lemma zenon_L265_ *) % 0.69/0.90 assert (zenon_L266_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H115 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_Ha8 zenon_Hc5 zenon_Haa. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.90 apply (zenon_L143_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.90 apply (zenon_L265_); trivial. % 0.69/0.90 exact (zenon_Haa zenon_Hab). % 0.69/0.90 (* end of lemma zenon_L266_ *) % 0.69/0.90 assert (zenon_L267_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_Haa zenon_Ha8 zenon_H184 zenon_H119. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.90 apply (zenon_L104_); trivial. % 0.69/0.90 apply (zenon_L266_); trivial. % 0.69/0.90 apply (zenon_L221_); trivial. % 0.69/0.90 (* end of lemma zenon_L267_ *) % 0.69/0.90 assert (zenon_L268_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H119 zenon_H66 zenon_H162 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_H151 zenon_H153 zenon_H13c zenon_H163 zenon_Hdc zenon_H186 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.90 apply (zenon_L104_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.90 apply (zenon_L112_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H152 | zenon_intro zenon_H164 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.90 apply (zenon_L243_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.90 apply (zenon_L96_); trivial. % 0.69/0.90 exact (zenon_H13c zenon_H13d). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H15e | zenon_intro zenon_H13d ]. % 0.69/0.90 apply (zenon_L97_); trivial. % 0.69/0.90 exact (zenon_H13c zenon_H13d). % 0.69/0.90 (* end of lemma zenon_L268_ *) % 0.69/0.90 assert (zenon_L269_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_He3 zenon_Hde zenon_Hdc zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H1e9 zenon_H1eb zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H184 zenon_H6a. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L260_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 (* end of lemma zenon_L269_ *) % 0.69/0.90 assert (zenon_L270_ : ((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1a5 zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H186 zenon_Hdc zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H10. zenon_intro zenon_H1a6. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_L127_); trivial. % 0.69/0.90 apply (zenon_L221_); trivial. % 0.69/0.90 (* end of lemma zenon_L270_ *) % 0.69/0.90 assert (zenon_L271_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp11)\/((hskp20)\/(hskp7))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1a4 zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H186 zenon_Hdc zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66 zenon_H1 zenon_H5 zenon_H7. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H3 | zenon_intro zenon_H1a5 ]. % 0.69/0.90 apply (zenon_L4_); trivial. % 0.69/0.90 apply (zenon_L270_); trivial. % 0.69/0.90 (* end of lemma zenon_L271_ *) % 0.69/0.90 assert (zenon_L272_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp11)\/((hskp20)\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H16d zenon_H11d zenon_H119 zenon_H116 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_H2e zenon_H2c zenon_H1a4 zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H186 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hf0 zenon_Hf2 zenon_H66 zenon_H1 zenon_H5 zenon_H7 zenon_Hde zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_He3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L271_); trivial. % 0.69/0.90 apply (zenon_L212_); trivial. % 0.69/0.90 apply (zenon_L129_); trivial. % 0.69/0.90 (* end of lemma zenon_L272_ *) % 0.69/0.90 assert (zenon_L273_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_He3 zenon_H1c9 zenon_H1c7 zenon_Hde zenon_H119 zenon_H116 zenon_H1eb zenon_H1e9 zenon_H186 zenon_Hdc zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_Hfe zenon_H66 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H2e zenon_H9 zenon_H2c zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H6a. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_L244_); trivial. % 0.69/0.90 apply (zenon_L124_); trivial. % 0.69/0.90 apply (zenon_L212_); trivial. % 0.69/0.90 (* end of lemma zenon_L273_ *) % 0.69/0.90 assert (zenon_L274_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_He3 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_Hdc zenon_Hde zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H1e9 zenon_H1eb zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H184 zenon_H6a. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L260_); trivial. % 0.69/0.90 apply (zenon_L212_); trivial. % 0.69/0.90 (* end of lemma zenon_L274_ *) % 0.69/0.90 assert (zenon_L275_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11d zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H2c zenon_H2e zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H66 zenon_Hfe zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H81 zenon_Hdc zenon_H186 zenon_H1e9 zenon_H1eb zenon_H116 zenon_H119 zenon_Hde zenon_H1c7 zenon_H1c9 zenon_He3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L273_); trivial. % 0.69/0.90 apply (zenon_L274_); trivial. % 0.69/0.90 (* end of lemma zenon_L275_ *) % 0.69/0.90 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H169 zenon_H16d zenon_Hf0 zenon_Hf2 zenon_He3 zenon_H1c9 zenon_H1c7 zenon_Hde zenon_H119 zenon_H116 zenon_H1eb zenon_H1e9 zenon_H186 zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_Hfe zenon_H66 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H2e zenon_H2c zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H6a zenon_H13c zenon_H163 zenon_H11d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L273_); trivial. % 0.69/0.90 apply (zenon_L130_); trivial. % 0.69/0.90 apply (zenon_L240_); trivial. % 0.69/0.90 (* end of lemma zenon_L276_ *) % 0.69/0.90 assert (zenon_L277_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1f6 zenon_H11d zenon_Hc4 zenon_H163 zenon_H13c zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L165_); trivial. % 0.69/0.90 apply (zenon_L249_); trivial. % 0.69/0.90 (* end of lemma zenon_L277_ *) % 0.69/0.90 assert (zenon_L278_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((hskp11)\/((hskp20)\/(hskp7))) -> (~(hskp7)) -> (~(hskp11)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a38))/\((c3_1 (a38))/\(~(c0_1 (a38))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_He3 zenon_Hde zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_H7 zenon_H5 zenon_H1 zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_Hdc zenon_H186 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H1a4. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L271_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 (* end of lemma zenon_L278_ *) % 0.69/0.90 assert (zenon_L279_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc4 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H2c zenon_H9 zenon_H2e zenon_H186 zenon_Hdc zenon_H163 zenon_H13c zenon_H153 zenon_H151 zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H81 zenon_H162 zenon_H66 zenon_H119 zenon_H184 zenon_Haa zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L267_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_L268_); trivial. % 0.69/0.90 apply (zenon_L124_); trivial. % 0.69/0.90 (* end of lemma zenon_L279_ *) % 0.69/0.90 assert (zenon_L280_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11d zenon_H230 zenon_Hc4 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H2c zenon_H2e zenon_H186 zenon_Hdc zenon_H163 zenon_H13c zenon_H153 zenon_H151 zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H81 zenon_H162 zenon_H66 zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a zenon_H239 zenon_H190 zenon_H18f zenon_H18e zenon_Hde zenon_He3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L279_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 apply (zenon_L236_); trivial. % 0.69/0.90 (* end of lemma zenon_L280_ *) % 0.69/0.90 assert (zenon_L281_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_He3 zenon_Hde zenon_H18e zenon_H18f zenon_H190 zenon_H239 zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H15 zenon_Hf2 zenon_Hf0 zenon_H81 zenon_Hdc zenon_H186 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H97. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.90 apply (zenon_L164_); trivial. % 0.69/0.90 apply (zenon_L224_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 (* end of lemma zenon_L281_ *) % 0.69/0.90 assert (zenon_L282_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc4 zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H9b zenon_Ha3 zenon_H9a zenon_H18b zenon_H119 zenon_H184 zenon_Haa zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L267_); trivial. % 0.69/0.90 apply (zenon_L256_); trivial. % 0.69/0.90 (* end of lemma zenon_L282_ *) % 0.69/0.90 assert (zenon_L283_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_He3 zenon_Hde zenon_Hdc zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_H184 zenon_H119 zenon_H18b zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13c zenon_H163 zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_Hc4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L282_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 (* end of lemma zenon_L283_ *) % 0.69/0.90 assert (zenon_L284_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (ndr1_0) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11d zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_Hc5 zenon_H119 zenon_H18b zenon_H13c zenon_H163 zenon_Hc4 zenon_H97 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H186 zenon_Hdc zenon_H81 zenon_Hf0 zenon_Hf2 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H10 zenon_H2e zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a zenon_H239 zenon_H190 zenon_H18f zenon_H18e zenon_Hde zenon_He3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L281_); trivial. % 0.69/0.90 apply (zenon_L283_); trivial. % 0.69/0.90 (* end of lemma zenon_L284_ *) % 0.69/0.90 assert (zenon_L285_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp19)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H10 zenon_Ha8 zenon_Haa. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hc8 ]. % 0.69/0.90 apply (zenon_L211_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Hab ]. % 0.69/0.90 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.90 exact (zenon_Haa zenon_Hab). % 0.69/0.90 (* end of lemma zenon_L285_ *) % 0.69/0.90 assert (zenon_L286_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_Hdc zenon_Hde zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H16e zenon_H16f zenon_H170 zenon_H18b zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13c zenon_H163 zenon_H90 zenon_H93 zenon_Hc4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L285_); trivial. % 0.69/0.90 apply (zenon_L248_); trivial. % 0.69/0.90 apply (zenon_L55_); trivial. % 0.69/0.90 (* end of lemma zenon_L286_ *) % 0.69/0.90 assert (zenon_L287_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1f6 zenon_H16d zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H15 zenon_H2e zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a zenon_Hc4 zenon_H163 zenon_H13c zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H212 zenon_H211 zenon_H213 zenon_Hc5 zenon_Hde zenon_H27 zenon_H29 zenon_He3 zenon_H11d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L159_); trivial. % 0.69/0.90 apply (zenon_L286_); trivial. % 0.69/0.90 apply (zenon_L119_); trivial. % 0.69/0.90 (* end of lemma zenon_L287_ *) % 0.69/0.90 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H169 zenon_H11d zenon_H163 zenon_H13c zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H2e zenon_H1ef zenon_H1ee zenon_H1ed zenon_H15 zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L165_); trivial. % 0.69/0.90 apply (zenon_L130_); trivial. % 0.69/0.90 (* end of lemma zenon_L288_ *) % 0.69/0.90 assert (zenon_L289_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1f6 zenon_H16c zenon_H11d zenon_He3 zenon_H29 zenon_H27 zenon_Hde zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H16e zenon_H16f zenon_H170 zenon_H18b zenon_H13c zenon_H163 zenon_Hc4 zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H2c zenon_H2e zenon_H15 zenon_H81 zenon_H90 zenon_H93 zenon_H97 zenon_H14f zenon_H16d. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L165_); trivial. % 0.69/0.90 apply (zenon_L286_); trivial. % 0.69/0.90 apply (zenon_L100_); trivial. % 0.69/0.90 apply (zenon_L288_); trivial. % 0.69/0.90 (* end of lemma zenon_L289_ *) % 0.69/0.90 assert (zenon_L290_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H6a zenon_H116 zenon_H93 zenon_H90 zenon_H47 zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_Hfe zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L235_); trivial. % 0.69/0.90 apply (zenon_L153_); trivial. % 0.69/0.90 (* end of lemma zenon_L290_ *) % 0.69/0.90 assert (zenon_L291_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_L151_); trivial. % 0.69/0.90 apply (zenon_L221_); trivial. % 0.69/0.90 (* end of lemma zenon_L291_ *) % 0.69/0.90 assert (zenon_L292_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_He3 zenon_Hde zenon_Hdc zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L291_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 (* end of lemma zenon_L292_ *) % 0.69/0.90 assert (zenon_L293_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H16d zenon_Hf8 zenon_H23e zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_Hde zenon_He3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.90 apply (zenon_L292_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L291_); trivial. % 0.69/0.90 apply (zenon_L262_); trivial. % 0.69/0.90 (* end of lemma zenon_L293_ *) % 0.69/0.90 assert (zenon_L294_ : ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a12))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H243 zenon_H190 zenon_H18f zenon_H18e zenon_H153 zenon_H151 zenon_H1ad zenon_H10 zenon_Ha8. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H18d | zenon_intro zenon_H244 ]. % 0.69/0.90 apply (zenon_L120_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1ac | zenon_intro zenon_Ha9 ]. % 0.69/0.90 apply (zenon_L132_); trivial. % 0.69/0.90 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.90 (* end of lemma zenon_L294_ *) % 0.69/0.90 assert (zenon_L295_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (ndr1_0) -> (~(c1_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hac zenon_H10 zenon_H1e1 zenon_H30 zenon_H1e0 zenon_H1e2. % 0.69/0.90 generalize (zenon_Hac (a4)). zenon_intro zenon_H245. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_Hf | zenon_intro zenon_H246 ]. % 0.69/0.90 exact (zenon_Hf zenon_H10). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H247 ]. % 0.69/0.90 exact (zenon_H1e1 zenon_H1e8). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H248 | zenon_intro zenon_H1e7 ]. % 0.69/0.90 generalize (zenon_H30 (a4)). zenon_intro zenon_H249. % 0.69/0.90 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_Hf | zenon_intro zenon_H24a ]. % 0.69/0.90 exact (zenon_Hf zenon_H10). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H24b ]. % 0.69/0.90 exact (zenon_H1e0 zenon_H1e6). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24c | zenon_intro zenon_H1e7 ]. % 0.69/0.90 exact (zenon_H24c zenon_H248). % 0.69/0.90 exact (zenon_H1e7 zenon_H1e2). % 0.69/0.90 exact (zenon_H1e7 zenon_H1e2). % 0.69/0.90 (* end of lemma zenon_L295_ *) % 0.69/0.90 assert (zenon_L296_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (c1_1 (a12)) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (~(c3_1 (a12))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H163 zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_H153 zenon_H152 zenon_H151 zenon_H10 zenon_H13c. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.90 apply (zenon_L295_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.90 apply (zenon_L96_); trivial. % 0.69/0.90 exact (zenon_H13c zenon_H13d). % 0.69/0.90 (* end of lemma zenon_L296_ *) % 0.69/0.90 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (~(hskp0)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H60 zenon_H162 zenon_H5e zenon_H47 zenon_H163 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H153 zenon_H151 zenon_H61 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H13c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H152 | zenon_intro zenon_H164 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.90 apply (zenon_L296_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.90 apply (zenon_L24_); trivial. % 0.69/0.90 exact (zenon_H5e zenon_H5f). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H15e | zenon_intro zenon_H13d ]. % 0.69/0.90 apply (zenon_L97_); trivial. % 0.69/0.90 exact (zenon_H13c zenon_H13d). % 0.69/0.90 (* end of lemma zenon_L297_ *) % 0.69/0.90 assert (zenon_L298_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc4 zenon_H66 zenon_H162 zenon_H163 zenon_H13c zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H5e zenon_H61 zenon_H2c zenon_H9 zenon_H2e zenon_H10 zenon_H18e zenon_H18f zenon_H190 zenon_H1ad zenon_H151 zenon_H153 zenon_H243. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L294_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.90 apply (zenon_L15_); trivial. % 0.69/0.90 apply (zenon_L297_); trivial. % 0.69/0.90 (* end of lemma zenon_L298_ *) % 0.69/0.90 assert (zenon_L299_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1dc zenon_H11d zenon_H230 zenon_H243 zenon_H2e zenon_H61 zenon_H5e zenon_H47 zenon_H13c zenon_H163 zenon_H162 zenon_H66 zenon_Hc4 zenon_He3 zenon_Hde zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H23e zenon_H16d. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.69/0.90 apply (zenon_L293_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L298_); trivial. % 0.69/0.90 apply (zenon_L236_); trivial. % 0.69/0.90 (* end of lemma zenon_L299_ *) % 0.69/0.90 assert (zenon_L300_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp22)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H119 zenon_H184 zenon_Ha8 zenon_Haa zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H5 zenon_Hf8 zenon_Hfa. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.90 apply (zenon_L66_); trivial. % 0.69/0.90 apply (zenon_L266_); trivial. % 0.69/0.90 (* end of lemma zenon_L300_ *) % 0.69/0.90 assert (zenon_L301_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(hskp28)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H66 zenon_H177 zenon_Hf6 zenon_H47 zenon_H70 zenon_H71 zenon_H7c zenon_H81 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.90 apply (zenon_L62_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H6e | zenon_intro zenon_H178 ]. % 0.69/0.90 apply (zenon_L33_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H12 ]. % 0.69/0.90 exact (zenon_Hf6 zenon_Hf7). % 0.69/0.90 exact (zenon_H11 zenon_H12). % 0.69/0.90 (* end of lemma zenon_L301_ *) % 0.69/0.90 assert (zenon_L302_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17)))))) -> (~(c3_1 (a11))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H163 zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_H1ed zenon_H1ee zenon_H188 zenon_H1ef zenon_H10 zenon_H13c. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hac | zenon_intro zenon_H165 ]. % 0.69/0.90 apply (zenon_L295_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H121 | zenon_intro zenon_H13d ]. % 0.69/0.90 apply (zenon_L246_); trivial. % 0.69/0.90 exact (zenon_H13c zenon_H13d). % 0.69/0.90 (* end of lemma zenon_L302_ *) % 0.69/0.90 assert (zenon_L303_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10b zenon_H109 zenon_Ha2 zenon_H10a zenon_H10 zenon_Haa. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.90 apply (zenon_L143_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.90 apply (zenon_L264_); trivial. % 0.69/0.90 exact (zenon_Haa zenon_Hab). % 0.69/0.90 (* end of lemma zenon_L303_ *) % 0.69/0.90 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H115 zenon_H66 zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H5e zenon_H61 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.90 apply (zenon_L15_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.90 apply (zenon_L302_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.90 apply (zenon_L24_); trivial. % 0.69/0.90 exact (zenon_H5e zenon_H5f). % 0.69/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.90 apply (zenon_L97_); trivial. % 0.69/0.90 apply (zenon_L303_); trivial. % 0.69/0.90 (* end of lemma zenon_L304_ *) % 0.69/0.90 assert (zenon_L305_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp9)) -> (~(hskp16)) -> False). % 0.69/0.90 do 0 intro. intros zenon_H65 zenon_H24d zenon_H47 zenon_Hf8 zenon_H12b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H30 | zenon_intro zenon_H24e ]. % 0.69/0.90 apply (zenon_L20_); trivial. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H12c ]. % 0.69/0.90 exact (zenon_Hf8 zenon_Hf9). % 0.69/0.90 exact (zenon_H12b zenon_H12c). % 0.69/0.90 (* end of lemma zenon_L305_ *) % 0.69/0.90 assert (zenon_L306_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc4 zenon_H97 zenon_H24d zenon_H12b zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_Hf4 zenon_H2e zenon_H9 zenon_H2c zenon_H61 zenon_H5e zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H13c zenon_H163 zenon_H18b zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H6a zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_Haa zenon_H184 zenon_H119. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L300_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.90 apply (zenon_L239_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.90 apply (zenon_L301_); trivial. % 0.69/0.90 apply (zenon_L304_); trivial. % 0.69/0.90 apply (zenon_L305_); trivial. % 0.69/0.90 (* end of lemma zenon_L306_ *) % 0.69/0.90 assert (zenon_L307_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_He3 zenon_Hde zenon_Hdc zenon_H18e zenon_H18f zenon_H190 zenon_H239 zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H5 zenon_Hf8 zenon_Hfa zenon_H6a zenon_H1ef zenon_H1ee zenon_H1ed zenon_H15 zenon_H18b zenon_H163 zenon_H13c zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H5e zenon_H61 zenon_H2c zenon_H9 zenon_H2e zenon_Hf4 zenon_H81 zenon_H47 zenon_H177 zenon_H66 zenon_H12b zenon_H24d zenon_H97 zenon_Hc4. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L306_); trivial. % 0.69/0.90 apply (zenon_L252_); trivial. % 0.69/0.90 (* end of lemma zenon_L307_ *) % 0.69/0.90 assert (zenon_L308_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H166 zenon_H11d zenon_H230 zenon_Hc4 zenon_H97 zenon_H24d zenon_H12b zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_Hf4 zenon_H2e zenon_H2c zenon_H61 zenon_H5e zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H13c zenon_H163 zenon_H18b zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H6a zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_H184 zenon_H119 zenon_H23e zenon_H18e zenon_H18f zenon_H190 zenon_H239 zenon_He3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L306_); trivial. % 0.69/0.90 apply (zenon_L262_); trivial. % 0.69/0.90 apply (zenon_L257_); trivial. % 0.69/0.90 (* end of lemma zenon_L308_ *) % 0.69/0.90 assert (zenon_L309_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1dd zenon_H11d zenon_H239 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H243 zenon_H190 zenon_H18f zenon_H18e zenon_H2e zenon_H2c zenon_H61 zenon_H5e zenon_H47 zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H13c zenon_H163 zenon_H162 zenon_H66 zenon_Hc4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_L298_); trivial. % 0.69/0.90 apply (zenon_L257_); trivial. % 0.69/0.90 (* end of lemma zenon_L309_ *) % 0.69/0.90 assert (zenon_L310_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> (~(hskp16)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (ndr1_0) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> False). % 0.69/0.90 do 0 intro. intros zenon_Hc4 zenon_H6a zenon_H24d zenon_H12b zenon_Hf8 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H2e zenon_H9 zenon_H2c zenon_H61 zenon_H5e zenon_H47 zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13c zenon_H163 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H18b zenon_H66 zenon_H119 zenon_H10 zenon_H212 zenon_H211 zenon_H213 zenon_Haa zenon_Hc5. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L285_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.90 apply (zenon_L104_); trivial. % 0.69/0.90 apply (zenon_L304_); trivial. % 0.69/0.90 apply (zenon_L305_); trivial. % 0.69/0.90 (* end of lemma zenon_L310_ *) % 0.69/0.90 assert (zenon_L311_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H11a zenon_He3 zenon_He4 zenon_He5 zenon_He6 zenon_Hf8 zenon_H23e zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_H184 zenon_H119 zenon_H18b zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13c zenon_H163 zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_Hc4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.90 apply (zenon_L282_); trivial. % 0.69/0.90 apply (zenon_L262_); trivial. % 0.69/0.90 (* end of lemma zenon_L311_ *) % 0.69/0.90 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.90 do 0 intro. intros zenon_H1dd zenon_H11d zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H243 zenon_H190 zenon_H18f zenon_H18e zenon_H2e zenon_H2c zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H13c zenon_H163 zenon_H162 zenon_H66 zenon_Hc4. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.90 apply (zenon_L294_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.90 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.90 apply (zenon_L15_); trivial. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.90 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H152 | zenon_intro zenon_H164 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.91 apply (zenon_L296_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.91 apply (zenon_L24_); trivial. % 0.69/0.91 apply (zenon_L122_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H15e | zenon_intro zenon_H13d ]. % 0.69/0.91 apply (zenon_L97_); trivial. % 0.69/0.91 exact (zenon_H13c zenon_H13d). % 0.69/0.91 apply (zenon_L236_); trivial. % 0.69/0.91 (* end of lemma zenon_L312_ *) % 0.69/0.91 assert (zenon_L313_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(hskp0))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H1dc zenon_H11d zenon_H230 zenon_H243 zenon_H2e zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H13c zenon_H163 zenon_H162 zenon_H66 zenon_Hc4 zenon_He3 zenon_Hde zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H23e zenon_H16d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.69/0.91 apply (zenon_L293_); trivial. % 0.69/0.91 apply (zenon_L312_); trivial. % 0.69/0.91 (* end of lemma zenon_L313_ *) % 0.69/0.91 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(hskp0)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H60 zenon_H18b zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H163 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H13c zenon_H1a2 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H212 zenon_H211 zenon_H213. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.91 apply (zenon_L302_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.91 apply (zenon_L24_); trivial. % 0.69/0.91 apply (zenon_L122_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.91 apply (zenon_L97_); trivial. % 0.69/0.91 apply (zenon_L211_); trivial. % 0.69/0.91 (* end of lemma zenon_L314_ *) % 0.69/0.91 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc1 zenon_H66 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.91 apply (zenon_L15_); trivial. % 0.69/0.91 apply (zenon_L314_); trivial. % 0.69/0.91 (* end of lemma zenon_L315_ *) % 0.69/0.91 assert (zenon_L316_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc4 zenon_H66 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H2c zenon_H9 zenon_H2e zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_Haa zenon_H184 zenon_H119. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.91 apply (zenon_L300_); trivial. % 0.69/0.91 apply (zenon_L315_); trivial. % 0.69/0.91 (* end of lemma zenon_L316_ *) % 0.69/0.91 assert (zenon_L317_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_He3 zenon_Hde zenon_Hdc zenon_H18e zenon_H18f zenon_H190 zenon_H239 zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H5 zenon_Hf8 zenon_Hfa zenon_H2e zenon_H9 zenon_H2c zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13c zenon_H163 zenon_H212 zenon_H211 zenon_H213 zenon_H18b zenon_H66 zenon_Hc4. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_L316_); trivial. % 0.69/0.91 apply (zenon_L252_); trivial. % 0.69/0.91 (* end of lemma zenon_L317_ *) % 0.69/0.91 assert (zenon_L318_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_He3 zenon_H239 zenon_H190 zenon_H18f zenon_H18e zenon_He4 zenon_He5 zenon_He6 zenon_H23e zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H5 zenon_Hf8 zenon_Hfa zenon_H2e zenon_H9 zenon_H2c zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13c zenon_H163 zenon_H212 zenon_H211 zenon_H213 zenon_H18b zenon_H66 zenon_Hc4. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_L316_); trivial. % 0.69/0.91 apply (zenon_L262_); trivial. % 0.69/0.91 (* end of lemma zenon_L318_ *) % 0.69/0.91 assert (zenon_L319_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc4 zenon_H66 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H163 zenon_H13c zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H2c zenon_H9 zenon_H2e zenon_H119 zenon_H184 zenon_Haa zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.91 apply (zenon_L267_); trivial. % 0.69/0.91 apply (zenon_L315_); trivial. % 0.69/0.91 (* end of lemma zenon_L319_ *) % 0.69/0.91 assert (zenon_L320_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H6e zenon_H70 zenon_H71 zenon_H7c. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.91 apply (zenon_L168_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.91 apply (zenon_L31_); trivial. % 0.69/0.91 apply (zenon_L32_); trivial. % 0.69/0.91 (* end of lemma zenon_L320_ *) % 0.69/0.91 assert (zenon_L321_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp28)) -> (~(hskp27)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H177 zenon_H7c zenon_H71 zenon_H70 zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Hf6 zenon_H11. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H6e | zenon_intro zenon_H178 ]. % 0.69/0.91 apply (zenon_L320_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H12 ]. % 0.69/0.91 exact (zenon_Hf6 zenon_Hf7). % 0.69/0.91 exact (zenon_H11 zenon_H12). % 0.69/0.91 (* end of lemma zenon_L321_ *) % 0.69/0.91 assert (zenon_L322_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c2_1 (a64))) -> (ndr1_0) -> (c0_1 (a2)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H71 zenon_H7c zenon_H83 zenon_H70 zenon_H10 zenon_H211 zenon_Hac zenon_H212 zenon_H213. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.91 apply (zenon_L168_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.91 apply (zenon_L77_); trivial. % 0.69/0.91 apply (zenon_L207_); trivial. % 0.69/0.91 (* end of lemma zenon_L322_ *) % 0.69/0.91 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c2_1 (a64))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H115 zenon_H116 zenon_H47 zenon_Hfe zenon_H1fc zenon_H1fd zenon_H1fe zenon_H70 zenon_H7c zenon_H71 zenon_H211 zenon_H212 zenon_H213 zenon_H81 zenon_Hf0 zenon_Hf2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.91 apply (zenon_L322_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.91 apply (zenon_L179_); trivial. % 0.69/0.91 exact (zenon_Hfc zenon_Hfd). % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.69/0.91 apply (zenon_L183_); trivial. % 0.69/0.91 exact (zenon_Hf0 zenon_Hf1). % 0.69/0.91 apply (zenon_L199_); trivial. % 0.69/0.91 (* end of lemma zenon_L323_ *) % 0.69/0.91 assert (zenon_L324_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H119 zenon_H116 zenon_H47 zenon_Hfe zenon_H211 zenon_H212 zenon_H213 zenon_Hf0 zenon_Hf2 zenon_H81 zenon_H7c zenon_H71 zenon_H70 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H11 zenon_H177. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L321_); trivial. % 0.69/0.91 apply (zenon_L323_); trivial. % 0.69/0.91 (* end of lemma zenon_L324_ *) % 0.69/0.91 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H92 zenon_H6a zenon_H61 zenon_H5e zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Hf2 zenon_Hf0 zenon_H213 zenon_H212 zenon_H211 zenon_Hfe zenon_H47 zenon_H116 zenon_H119. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L324_); trivial. % 0.69/0.91 apply (zenon_L172_); trivial. % 0.69/0.91 (* end of lemma zenon_L325_ *) % 0.69/0.91 assert (zenon_L326_ : (~(hskp19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (ndr1_0) -> (c0_1 (a2)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Haa zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H109 zenon_H10a zenon_H10b zenon_H47 zenon_H56 zenon_H4c zenon_H4b zenon_H184 zenon_H10 zenon_H211 zenon_Hac zenon_H212 zenon_H213. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.91 apply (zenon_L208_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.91 apply (zenon_L180_); trivial. % 0.69/0.91 apply (zenon_L207_); trivial. % 0.69/0.91 (* end of lemma zenon_L326_ *) % 0.69/0.91 assert (zenon_L327_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((hskp30)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H119 zenon_H116 zenon_H186 zenon_Hdc zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Haa zenon_H184 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_Hfe zenon_H66 zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L104_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.91 apply (zenon_L112_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.91 apply (zenon_L326_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.91 apply (zenon_L113_); trivial. % 0.69/0.91 exact (zenon_Hfc zenon_Hfd). % 0.69/0.91 apply (zenon_L199_); trivial. % 0.69/0.91 (* end of lemma zenon_L327_ *) % 0.69/0.91 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H69 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L214_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 (* end of lemma zenon_L328_ *) % 0.69/0.91 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Hf2 zenon_Hf0 zenon_H213 zenon_H212 zenon_H211 zenon_Hfe zenon_H47 zenon_H116 zenon_H119. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L324_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 (* end of lemma zenon_L329_ *) % 0.69/0.91 assert (zenon_L330_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp17)) -> ((hskp30)\/((hskp27)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H66 zenon_Hfe zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H184 zenon_Haa zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Hdc zenon_H186 zenon_H116 zenon_H119. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L327_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 (* end of lemma zenon_L330_ *) % 0.69/0.91 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp19)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H115 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_Haa zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.91 apply (zenon_L168_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.91 apply (zenon_L242_); trivial. % 0.69/0.91 apply (zenon_L70_); trivial. % 0.69/0.91 (* end of lemma zenon_L331_ *) % 0.69/0.91 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H92 zenon_H6a zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H119. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L321_); trivial. % 0.69/0.91 apply (zenon_L331_); trivial. % 0.69/0.91 apply (zenon_L221_); trivial. % 0.69/0.91 (* end of lemma zenon_L332_ *) % 0.69/0.91 assert (zenon_L333_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp18)) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H97 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119 zenon_Hb zenon_H9 zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_H15 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_H6a zenon_H6d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L223_); trivial. % 0.69/0.91 apply (zenon_L332_); trivial. % 0.69/0.91 (* end of lemma zenon_L333_ *) % 0.69/0.91 assert (zenon_L334_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H11d zenon_H163 zenon_H13c zenon_H124 zenon_H123 zenon_H122 zenon_H97 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119 zenon_Hb zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_H15 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H6d zenon_Hde zenon_Hdc zenon_He3. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_L333_); trivial. % 0.69/0.91 apply (zenon_L212_); trivial. % 0.69/0.91 apply (zenon_L130_); trivial. % 0.69/0.91 (* end of lemma zenon_L334_ *) % 0.69/0.91 assert (zenon_L335_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c0_1 (a2)) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63)))))) -> (c3_1 (a2)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H40 zenon_H10 zenon_H211 zenon_H12f zenon_H213. % 0.69/0.91 generalize (zenon_H40 (a2)). zenon_intro zenon_H214. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_Hf | zenon_intro zenon_H215 ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.69/0.91 exact (zenon_H217 zenon_H211). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.69/0.91 generalize (zenon_H12f (a2)). zenon_intro zenon_H24f. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H24f); [ zenon_intro zenon_Hf | zenon_intro zenon_H250 ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H21d | zenon_intro zenon_H221 ]. % 0.69/0.91 exact (zenon_H219 zenon_H21d). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 0.69/0.91 exact (zenon_H217 zenon_H211). % 0.69/0.91 exact (zenon_H218 zenon_H213). % 0.69/0.91 exact (zenon_H218 zenon_H213). % 0.69/0.91 (* end of lemma zenon_L335_ *) % 0.69/0.91 assert (zenon_L336_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H65 zenon_H116 zenon_H12d zenon_H12b zenon_H124 zenon_H123 zenon_H122 zenon_H211 zenon_H213 zenon_H47 zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_L68_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.91 apply (zenon_L69_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.91 apply (zenon_L335_); trivial. % 0.69/0.91 apply (zenon_L19_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.69/0.91 apply (zenon_L83_); trivial. % 0.69/0.91 exact (zenon_H12b zenon_H12c). % 0.69/0.91 (* end of lemma zenon_L336_ *) % 0.69/0.91 assert (zenon_L337_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a32))) -> (~(c2_1 (a32))) -> (c3_1 (a32)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H11a zenon_H6a zenon_H116 zenon_H12d zenon_H12b zenon_H124 zenon_H123 zenon_H122 zenon_H211 zenon_H213 zenon_H47 zenon_Hfe zenon_Hf4 zenon_H5 zenon_He4 zenon_He5 zenon_He6 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L63_); trivial. % 0.69/0.91 apply (zenon_L336_); trivial. % 0.69/0.91 (* end of lemma zenon_L337_ *) % 0.69/0.91 assert (zenon_L338_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp7)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> (~(c3_1 (a19))) -> (c0_1 (a19)) -> (c1_1 (a19)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H16d zenon_H116 zenon_H12d zenon_H12b zenon_H47 zenon_Hfe zenon_Hf4 zenon_Hf0 zenon_Hf2 zenon_H66 zenon_H226 zenon_He3 zenon_Hde zenon_H6d zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H15 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9 zenon_H5 zenon_Hb zenon_H119 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H177 zenon_H97 zenon_H122 zenon_H123 zenon_H124 zenon_H13c zenon_H163 zenon_H11d. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.69/0.91 apply (zenon_L334_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_L333_); trivial. % 0.69/0.91 apply (zenon_L228_); trivial. % 0.69/0.91 apply (zenon_L337_); trivial. % 0.69/0.91 (* end of lemma zenon_L338_ *) % 0.69/0.91 assert (zenon_L339_ : ((ndr1_0)/\((c0_1 (a19))/\((c1_1 (a19))/\(~(c3_1 (a19)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp5)\/(hskp0))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H169 zenon_H143 zenon_H13e zenon_H5e zenon_H11d zenon_H163 zenon_H13c zenon_H97 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119 zenon_Hb zenon_H5 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_H15 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H6d zenon_Hde zenon_He3 zenon_H226 zenon_H66 zenon_Hf2 zenon_Hf0 zenon_Hf4 zenon_Hfe zenon_H47 zenon_H12d zenon_H116 zenon_H16d. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.69/0.91 apply (zenon_L338_); trivial. % 0.69/0.91 apply (zenon_L89_); trivial. % 0.69/0.91 (* end of lemma zenon_L339_ *) % 0.69/0.91 assert (zenon_L340_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H119 zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L104_); trivial. % 0.69/0.91 apply (zenon_L331_); trivial. % 0.69/0.91 (* end of lemma zenon_L340_ *) % 0.69/0.91 assert (zenon_L341_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H81 zenon_H119. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L340_); trivial. % 0.69/0.91 apply (zenon_L221_); trivial. % 0.69/0.91 (* end of lemma zenon_L341_ *) % 0.69/0.91 assert (zenon_L342_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_He3 zenon_H1c9 zenon_H1c7 zenon_H213 zenon_H211 zenon_H212 zenon_Hdc zenon_Hde zenon_H119 zenon_H81 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_L341_); trivial. % 0.69/0.91 apply (zenon_L212_); trivial. % 0.69/0.91 (* end of lemma zenon_L342_ *) % 0.69/0.91 assert (zenon_L343_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L151_); trivial. % 0.69/0.91 apply (zenon_L172_); trivial. % 0.69/0.91 (* end of lemma zenon_L343_ *) % 0.69/0.91 assert (zenon_L344_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L157_); trivial. % 0.69/0.91 apply (zenon_L172_); trivial. % 0.69/0.91 (* end of lemma zenon_L344_ *) % 0.69/0.91 assert (zenon_L345_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp29)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_H10b zenon_H10a zenon_H109 zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Hfc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.91 apply (zenon_L295_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.91 apply (zenon_L179_); trivial. % 0.69/0.91 exact (zenon_Hfc zenon_Hfd). % 0.69/0.91 (* end of lemma zenon_L345_ *) % 0.69/0.91 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H115 zenon_H116 zenon_H47 zenon_Hfe zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H5e zenon_H61. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.91 apply (zenon_L345_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.91 apply (zenon_L168_); trivial. % 0.69/0.91 exact (zenon_H5e zenon_H5f). % 0.69/0.91 apply (zenon_L199_); trivial. % 0.69/0.91 (* end of lemma zenon_L346_ *) % 0.69/0.91 assert (zenon_L347_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L151_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 (* end of lemma zenon_L347_ *) % 0.69/0.91 assert (zenon_L348_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L157_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 (* end of lemma zenon_L348_ *) % 0.69/0.91 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H115 zenon_H116 zenon_H47 zenon_Hfe zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.91 apply (zenon_L345_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.91 apply (zenon_L168_); trivial. % 0.69/0.91 apply (zenon_L122_); trivial. % 0.69/0.91 apply (zenon_L199_); trivial. % 0.69/0.91 (* end of lemma zenon_L349_ *) % 0.69/0.91 assert (zenon_L350_ : ((ndr1_0)/\((c3_1 (a4))/\((~(c0_1 (a4)))/\(~(c1_1 (a4)))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a6))/\((c2_1 (a6))/\(~(c3_1 (a6))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H251 zenon_H252 zenon_H253 zenon_H1a2 zenon_Hf4 zenon_H66 zenon_H6a zenon_H61 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H1eb zenon_H15 zenon_H119 zenon_H116 zenon_Hfe zenon_H81 zenon_H177 zenon_H97 zenon_H254. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H10. zenon_intro zenon_H255. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H1e2. zenon_intro zenon_H256. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.69/0.91 apply (zenon_L343_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L344_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L321_); trivial. % 0.69/0.91 apply (zenon_L346_); trivial. % 0.69/0.91 apply (zenon_L172_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.69/0.91 apply (zenon_L347_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L348_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L301_); trivial. % 0.69/0.91 apply (zenon_L349_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L104_); trivial. % 0.69/0.91 apply (zenon_L349_); trivial. % 0.69/0.91 apply (zenon_L189_); trivial. % 0.69/0.91 (* end of lemma zenon_L350_ *) % 0.69/0.91 assert (zenon_L351_ : ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp25)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H30 zenon_H10 zenon_H11 zenon_H13. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.69/0.91 generalize (zenon_H1b (a1)). zenon_intro zenon_H260. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_Hf | zenon_intro zenon_H261 ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ]. % 0.69/0.91 generalize (zenon_H30 (a1)). zenon_intro zenon_H264. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_Hf | zenon_intro zenon_H265 ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H267 | zenon_intro zenon_H266 ]. % 0.69/0.91 exact (zenon_H25f zenon_H267). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ]. % 0.69/0.91 exact (zenon_H269 zenon_H25e). % 0.69/0.91 exact (zenon_H268 zenon_H263). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H26a | zenon_intro zenon_H269 ]. % 0.69/0.91 exact (zenon_H26a zenon_H25d). % 0.69/0.91 exact (zenon_H269 zenon_H25e). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.69/0.91 exact (zenon_H11 zenon_H12). % 0.69/0.91 exact (zenon_H13 zenon_H14). % 0.69/0.91 (* end of lemma zenon_L351_ *) % 0.69/0.91 assert (zenon_L352_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(hskp27)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H11 zenon_H13 zenon_H15 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.91 apply (zenon_L15_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.91 apply (zenon_L351_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.91 apply (zenon_L24_); trivial. % 0.69/0.91 exact (zenon_H5e zenon_H5f). % 0.69/0.91 (* end of lemma zenon_L352_ *) % 0.69/0.91 assert (zenon_L353_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H2e zenon_H9 zenon_H2c zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H5e zenon_H61 zenon_H66. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L352_); trivial. % 0.69/0.91 apply (zenon_L27_); trivial. % 0.69/0.91 (* end of lemma zenon_L353_ *) % 0.69/0.91 assert (zenon_L354_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H2c zenon_H9 zenon_H2e zenon_H6a. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L353_); trivial. % 0.69/0.91 apply (zenon_L81_); trivial. % 0.69/0.91 (* end of lemma zenon_L354_ *) % 0.69/0.91 assert (zenon_L355_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H188 zenon_H10 zenon_H25f zenon_H25d zenon_H25e. % 0.69/0.91 generalize (zenon_H188 (a1)). zenon_intro zenon_H26b. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_Hf | zenon_intro zenon_H26c ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H267 | zenon_intro zenon_H262 ]. % 0.69/0.91 exact (zenon_H25f zenon_H267). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H26a | zenon_intro zenon_H269 ]. % 0.69/0.91 exact (zenon_H26a zenon_H25d). % 0.69/0.91 exact (zenon_H269 zenon_H25e). % 0.69/0.91 (* end of lemma zenon_L355_ *) % 0.69/0.91 assert (zenon_L356_ : (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (c2_1 (a31)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H15e zenon_H10 zenon_H134 zenon_H179 zenon_H135. % 0.69/0.91 generalize (zenon_H15e (a31)). zenon_intro zenon_H26d. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_Hf | zenon_intro zenon_H26e ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H13b | zenon_intro zenon_H26f ]. % 0.69/0.91 exact (zenon_H134 zenon_H13b). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H13a ]. % 0.69/0.91 generalize (zenon_H179 (a31)). zenon_intro zenon_H271. % 0.69/0.91 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_Hf | zenon_intro zenon_H272 ]. % 0.69/0.91 exact (zenon_Hf zenon_H10). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H13b | zenon_intro zenon_H273 ]. % 0.69/0.91 exact (zenon_H134 zenon_H13b). % 0.69/0.91 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H13a | zenon_intro zenon_H274 ]. % 0.69/0.91 exact (zenon_H13a zenon_H135). % 0.69/0.91 exact (zenon_H274 zenon_H270). % 0.69/0.91 exact (zenon_H13a zenon_H135). % 0.69/0.91 (* end of lemma zenon_L356_ *) % 0.69/0.91 assert (zenon_L357_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (~(hskp22)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H230 zenon_H9b zenon_Ha3 zenon_H9a zenon_H135 zenon_H134 zenon_H10 zenon_H15e zenon_Ha8. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.69/0.91 apply (zenon_L44_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.69/0.91 apply (zenon_L356_); trivial. % 0.69/0.91 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.91 (* end of lemma zenon_L357_ *) % 0.69/0.91 assert (zenon_L358_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H29 zenon_H27 zenon_H5e zenon_Hbf zenon_H18b zenon_H134 zenon_H135 zenon_H230 zenon_H25e zenon_H25d zenon_H25f zenon_H90 zenon_H5 zenon_Hc6. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc7 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.91 apply (zenon_L355_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.91 apply (zenon_L357_); trivial. % 0.69/0.91 apply (zenon_L41_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H91 | zenon_intro zenon_H6 ]. % 0.69/0.91 exact (zenon_H90 zenon_H91). % 0.69/0.91 exact (zenon_H5 zenon_H6). % 0.69/0.91 apply (zenon_L47_); trivial. % 0.69/0.91 (* end of lemma zenon_L358_ *) % 0.69/0.91 assert (zenon_L359_ : ((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H140 zenon_H11d zenon_Hc4 zenon_H29 zenon_H27 zenon_Hbf zenon_H18b zenon_H230 zenon_H5 zenon_Hc6 zenon_H6a zenon_H2e zenon_H2c zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H10. zenon_intro zenon_H141. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H135. zenon_intro zenon_H142. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.91 apply (zenon_L354_); trivial. % 0.69/0.91 apply (zenon_L358_); trivial. % 0.69/0.91 (* end of lemma zenon_L359_ *) % 0.69/0.91 assert (zenon_L360_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (c3_1 (a34)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H10 zenon_Ha3 zenon_H83 zenon_H9b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.91 apply (zenon_L355_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.91 apply (zenon_L97_); trivial. % 0.69/0.91 apply (zenon_L93_); trivial. % 0.69/0.91 (* end of lemma zenon_L360_ *) % 0.69/0.91 assert (zenon_L361_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp6)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc1 zenon_H93 zenon_H170 zenon_H16f zenon_H16e zenon_H9b zenon_Ha3 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H90. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.91 apply (zenon_L103_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.91 apply (zenon_L360_); trivial. % 0.69/0.91 exact (zenon_H90 zenon_H91). % 0.69/0.91 (* end of lemma zenon_L361_ *) % 0.69/0.91 assert (zenon_L362_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H275 zenon_H170 zenon_H16f zenon_H16e zenon_H25e zenon_H25d zenon_H25f zenon_H18 zenon_H10 zenon_Hca zenon_Hcc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H6e | zenon_intro zenon_H276 ]. % 0.69/0.91 apply (zenon_L103_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H188 | zenon_intro zenon_Hd3 ]. % 0.69/0.91 apply (zenon_L355_); trivial. % 0.69/0.91 apply (zenon_L51_); trivial. % 0.69/0.91 (* end of lemma zenon_L362_ *) % 0.69/0.91 assert (zenon_L363_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_He0 zenon_H29 zenon_H27 zenon_H16e zenon_H16f zenon_H170 zenon_H25f zenon_H25d zenon_H25e zenon_H275. % 0.69/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.91 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.69/0.91 apply (zenon_L362_); trivial. % 0.69/0.91 exact (zenon_H27 zenon_H28). % 0.69/0.91 (* end of lemma zenon_L363_ *) % 0.69/0.91 assert (zenon_L364_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_H275 zenon_H93 zenon_H90 zenon_Hc5 zenon_H170 zenon_H16f zenon_H16e zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hc4. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.91 apply (zenon_L111_); trivial. % 0.69/0.91 apply (zenon_L361_); trivial. % 0.69/0.91 apply (zenon_L363_); trivial. % 0.69/0.91 (* end of lemma zenon_L364_ *) % 0.69/0.91 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp25)) -> (~(hskp27)) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H60 zenon_H1a2 zenon_H13 zenon_H11 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H47 zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.91 apply (zenon_L351_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.91 apply (zenon_L24_); trivial. % 0.69/0.91 apply (zenon_L122_); trivial. % 0.69/0.91 (* end of lemma zenon_L365_ *) % 0.69/0.91 assert (zenon_L366_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H2e zenon_H9 zenon_H2c zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.91 apply (zenon_L15_); trivial. % 0.69/0.91 apply (zenon_L365_); trivial. % 0.69/0.91 apply (zenon_L124_); trivial. % 0.69/0.91 (* end of lemma zenon_L366_ *) % 0.69/0.91 assert (zenon_L367_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H97 zenon_H93 zenon_H90 zenon_H81 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H2c zenon_H9 zenon_H2e zenon_H6a. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L366_); trivial. % 0.69/0.91 apply (zenon_L81_); trivial. % 0.69/0.91 (* end of lemma zenon_L367_ *) % 0.69/0.91 assert (zenon_L368_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H13 zenon_H15 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.91 apply (zenon_L62_); trivial. % 0.69/0.91 apply (zenon_L365_); trivial. % 0.69/0.91 (* end of lemma zenon_L368_ *) % 0.69/0.91 assert (zenon_L369_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H6a zenon_H119 zenon_H116 zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_H5 zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L368_); trivial. % 0.69/0.91 apply (zenon_L73_); trivial. % 0.69/0.91 (* end of lemma zenon_L369_ *) % 0.69/0.91 assert (zenon_L370_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (~(hskp19)) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (c3_1 (a15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp29)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_Haa zenon_Ha8 zenon_H10 zenon_H10a zenon_H109 zenon_H10b zenon_Hc5 zenon_Hfc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.91 apply (zenon_L44_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.91 apply (zenon_L265_); trivial. % 0.69/0.91 exact (zenon_Hfc zenon_Hfd). % 0.69/0.91 (* end of lemma zenon_L370_ *) % 0.69/0.91 assert (zenon_L371_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a25)) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a33)) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H47 zenon_H102 zenon_H101 zenon_H100 zenon_H10b zenon_H10a zenon_H109 zenon_H10 zenon_H49 zenon_H4b zenon_H4c zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.69/0.91 apply (zenon_L69_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.69/0.91 apply (zenon_L70_); trivial. % 0.69/0.91 apply (zenon_L23_); trivial. % 0.69/0.91 (* end of lemma zenon_L371_ *) % 0.69/0.91 assert (zenon_L372_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (c3_1 (a15)) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (c2_1 (a25)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (~(c2_1 (a64))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H81 zenon_H56 zenon_H4c zenon_H4b zenon_H109 zenon_H10a zenon_H10b zenon_H100 zenon_H101 zenon_H102 zenon_H47 zenon_H10 zenon_H83 zenon_H70 zenon_H7c zenon_H71. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.69/0.91 apply (zenon_L371_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.69/0.91 apply (zenon_L77_); trivial. % 0.69/0.91 apply (zenon_L78_); trivial. % 0.69/0.91 (* end of lemma zenon_L372_ *) % 0.69/0.91 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (~(c2_1 (a64))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a25)) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H60 zenon_H93 zenon_H71 zenon_H7c zenon_H70 zenon_H47 zenon_H102 zenon_H101 zenon_H100 zenon_H10b zenon_H10a zenon_H109 zenon_H81 zenon_H90. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H6e | zenon_intro zenon_H96 ]. % 0.69/0.91 apply (zenon_L33_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H83 | zenon_intro zenon_H91 ]. % 0.69/0.91 apply (zenon_L372_); trivial. % 0.69/0.91 exact (zenon_H90 zenon_H91). % 0.69/0.91 (* end of lemma zenon_L373_ *) % 0.69/0.91 assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H112 zenon_H66 zenon_H93 zenon_H90 zenon_H10b zenon_H10a zenon_H109 zenon_H47 zenon_H70 zenon_H71 zenon_H7c zenon_H81 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.91 apply (zenon_L62_); trivial. % 0.69/0.91 apply (zenon_L373_); trivial. % 0.69/0.91 (* end of lemma zenon_L374_ *) % 0.69/0.91 assert (zenon_L375_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(hskp27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H119 zenon_H116 zenon_H93 zenon_H90 zenon_H9a zenon_Ha3 zenon_H9b zenon_Hc5 zenon_Haa zenon_Ha8 zenon_Hfe zenon_Hf4 zenon_H5 zenon_H11 zenon_H81 zenon_H7c zenon_H71 zenon_H70 zenon_H47 zenon_H177 zenon_H66. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L301_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_L370_); trivial. % 0.69/0.91 apply (zenon_L374_); trivial. % 0.69/0.91 (* end of lemma zenon_L375_ *) % 0.69/0.91 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp22)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H92 zenon_H6a zenon_Hf8 zenon_Hfa zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_Hfe zenon_Ha8 zenon_Haa zenon_Hc5 zenon_H9b zenon_Ha3 zenon_H9a zenon_H90 zenon_H93 zenon_H116 zenon_H119. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L375_); trivial. % 0.69/0.91 apply (zenon_L73_); trivial. % 0.69/0.91 (* end of lemma zenon_L376_ *) % 0.69/0.91 assert (zenon_L377_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_H10b zenon_H109 zenon_Ha2 zenon_H10a zenon_H10 zenon_Hfc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.91 apply (zenon_L44_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.91 apply (zenon_L264_); trivial. % 0.69/0.91 exact (zenon_Hfc zenon_Hfd). % 0.69/0.91 (* end of lemma zenon_L377_ *) % 0.69/0.91 assert (zenon_L378_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.69/0.91 do 0 intro. intros zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_H10b zenon_H109 zenon_H10a zenon_H10 zenon_Hfc. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.91 apply (zenon_L355_); trivial. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.91 apply (zenon_L97_); trivial. % 0.69/0.91 apply (zenon_L377_); trivial. % 0.69/0.91 (* end of lemma zenon_L378_ *) % 0.69/0.91 assert (zenon_L379_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c1_1 (a43))) -> (~(c3_1 (a43))) -> (c2_1 (a43)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(hskp27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H119 zenon_H116 zenon_H93 zenon_H90 zenon_H25f zenon_H25d zenon_H25e zenon_Hb2 zenon_Hb1 zenon_Hb3 zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_H18b zenon_Hf4 zenon_H5 zenon_H11 zenon_H81 zenon_H7c zenon_H71 zenon_H70 zenon_H47 zenon_H177 zenon_H66. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.91 apply (zenon_L301_); trivial. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.91 apply (zenon_L378_); trivial. % 0.69/0.91 apply (zenon_L374_); trivial. % 0.69/0.91 (* end of lemma zenon_L379_ *) % 0.69/0.91 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H92 zenon_H6a zenon_Hf8 zenon_Hfa zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H18b zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H25e zenon_H25d zenon_H25f zenon_H90 zenon_H93 zenon_H116 zenon_H119. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.91 apply (zenon_L379_); trivial. % 0.69/0.91 apply (zenon_L73_); trivial. % 0.69/0.91 (* end of lemma zenon_L380_ *) % 0.69/0.91 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_Hc1 zenon_H97 zenon_H177 zenon_H81 zenon_H18b zenon_H90 zenon_H93 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_Hfa zenon_Hf8 zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_H116 zenon_H119 zenon_H6a. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L369_); trivial. % 0.69/0.91 apply (zenon_L380_); trivial. % 0.69/0.91 (* end of lemma zenon_L381_ *) % 0.69/0.91 assert (zenon_L382_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.91 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_Hdc zenon_Hde zenon_H97 zenon_H177 zenon_H81 zenon_Hc5 zenon_H90 zenon_H93 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_Hfa zenon_Hf8 zenon_Hfe zenon_H116 zenon_H119 zenon_H6a zenon_H18b zenon_Hc4. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.91 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.91 apply (zenon_L369_); trivial. % 0.69/0.91 apply (zenon_L376_); trivial. % 0.69/0.91 apply (zenon_L381_); trivial. % 0.69/0.91 apply (zenon_L55_); trivial. % 0.69/0.91 (* end of lemma zenon_L382_ *) % 0.69/0.91 assert (zenon_L383_ : ((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp9)) -> ((hskp28)\/((hskp7)\/(hskp9))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H166 zenon_H11d zenon_H119 zenon_H116 zenon_Hfe zenon_Hf8 zenon_Hfa zenon_Hf4 zenon_H5 zenon_Hf0 zenon_Hf2 zenon_H6a zenon_H2e zenon_H2c zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.92 apply (zenon_L367_); trivial. % 0.69/0.92 apply (zenon_L74_); trivial. % 0.69/0.92 (* end of lemma zenon_L383_ *) % 0.69/0.92 assert (zenon_L384_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a58)) -> (c0_1 (a58)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a58))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c1_1 (a10)) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H184 zenon_H1b7 zenon_H1b6 zenon_Ha2 zenon_H1b5 zenon_H33 zenon_H32 zenon_H3b zenon_H10 zenon_Haa. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.92 apply (zenon_L134_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.92 apply (zenon_L19_); trivial. % 0.69/0.92 exact (zenon_Haa zenon_Hab). % 0.69/0.92 (* end of lemma zenon_L384_ *) % 0.69/0.92 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a58)) -> (c0_1 (a58)) -> (~(c1_1 (a58))) -> (~(hskp19)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H65 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H184 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Haa. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.92 apply (zenon_L97_); trivial. % 0.69/0.92 apply (zenon_L384_); trivial. % 0.69/0.92 (* end of lemma zenon_L385_ *) % 0.69/0.92 assert (zenon_L386_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a58))) -> (c0_1 (a58)) -> (c3_1 (a58)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H6a zenon_H18b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Haa zenon_H184 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_Hf4 zenon_H5 zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L368_); trivial. % 0.69/0.92 apply (zenon_L385_); trivial. % 0.69/0.92 (* end of lemma zenon_L386_ *) % 0.69/0.92 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c1_1 (a58))) -> (c0_1 (a58)) -> (c3_1 (a58)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Haa zenon_H184 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H18b zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H25e zenon_H25d zenon_H25f zenon_H90 zenon_H93 zenon_H116 zenon_H119. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L379_); trivial. % 0.69/0.92 apply (zenon_L385_); trivial. % 0.69/0.92 (* end of lemma zenon_L387_ *) % 0.69/0.92 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c1_1 (a43))) -> (~(c3_1 (a43))) -> (c2_1 (a43)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1cb zenon_H97 zenon_H177 zenon_H81 zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_Hb2 zenon_Hb1 zenon_Hb3 zenon_H184 zenon_Haa zenon_H18b zenon_H6a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H10. zenon_intro zenon_H1cc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b6. zenon_intro zenon_H1cd. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1b7. zenon_intro zenon_H1b5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L386_); trivial. % 0.69/0.92 apply (zenon_L387_); trivial. % 0.69/0.92 (* end of lemma zenon_L388_ *) % 0.69/0.92 assert (zenon_L389_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc1 zenon_H1ce zenon_H97 zenon_H177 zenon_H81 zenon_H9a zenon_Ha3 zenon_H9b zenon_Hfe zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H66 zenon_H1a2 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_H184 zenon_Haa zenon_H18b zenon_H6a zenon_H1ad zenon_H151 zenon_H153 zenon_H199 zenon_H19a zenon_H19b zenon_H1b1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1cb ]. % 0.69/0.92 apply (zenon_L133_); trivial. % 0.69/0.92 apply (zenon_L388_); trivial. % 0.69/0.92 (* end of lemma zenon_L389_ *) % 0.69/0.92 assert (zenon_L390_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_He3 zenon_H29 zenon_H27 zenon_Hdc zenon_Hde zenon_H14f zenon_H90 zenon_H1 zenon_Hc5 zenon_H1b1 zenon_H19b zenon_H19a zenon_H199 zenon_H153 zenon_H151 zenon_H1ad zenon_H6a zenon_H18b zenon_H184 zenon_Hf4 zenon_H5 zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H1a2 zenon_H66 zenon_H119 zenon_H116 zenon_H93 zenon_Hfe zenon_H81 zenon_H177 zenon_H97 zenon_H1ce zenon_Hc4. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L95_); trivial. % 0.69/0.92 apply (zenon_L389_); trivial. % 0.69/0.92 apply (zenon_L55_); trivial. % 0.69/0.92 (* end of lemma zenon_L390_ *) % 0.69/0.92 assert (zenon_L391_ : ((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> (~(hskp16)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1cb zenon_H12d zenon_H124 zenon_H123 zenon_H122 zenon_H12b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H10. zenon_intro zenon_H1cc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b6. zenon_intro zenon_H1cd. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1b7. zenon_intro zenon_H1b5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.69/0.92 generalize (zenon_H12f (a58)). zenon_intro zenon_H277. % 0.69/0.92 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_Hf | zenon_intro zenon_H278 ]. % 0.69/0.92 exact (zenon_Hf zenon_H10). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c0 ]. % 0.69/0.92 exact (zenon_H1b5 zenon_H1bb). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1bc ]. % 0.69/0.92 exact (zenon_H1c2 zenon_H1b6). % 0.69/0.92 exact (zenon_H1bc zenon_H1b7). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H121 | zenon_intro zenon_H12c ]. % 0.69/0.92 apply (zenon_L83_); trivial. % 0.69/0.92 exact (zenon_H12b zenon_H12c). % 0.69/0.92 (* end of lemma zenon_L391_ *) % 0.69/0.92 assert (zenon_L392_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c3_1 X63))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c3_1 X51)\/((~(c0_1 X51))\/(~(c1_1 X51))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a19)) -> (c0_1 (a19)) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1ce zenon_H12d zenon_H12b zenon_H124 zenon_H123 zenon_H122 zenon_H10 zenon_H1ad zenon_H151 zenon_H153 zenon_H199 zenon_H19a zenon_H19b zenon_H1b1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1cb ]. % 0.69/0.92 apply (zenon_L133_); trivial. % 0.69/0.92 apply (zenon_L391_); trivial. % 0.69/0.92 (* end of lemma zenon_L392_ *) % 0.69/0.92 assert (zenon_L393_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp22)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a58)) -> (c0_1 (a58)) -> (~(c1_1 (a58))) -> (~(hskp19)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H65 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Ha8 zenon_H134 zenon_H135 zenon_H9a zenon_Ha3 zenon_H9b zenon_H230 zenon_H184 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Haa. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.92 apply (zenon_L357_); trivial. % 0.69/0.92 apply (zenon_L384_); trivial. % 0.69/0.92 (* end of lemma zenon_L393_ *) % 0.69/0.92 assert (zenon_L394_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a58))) -> (c0_1 (a58)) -> (c3_1 (a58)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H6a zenon_H18b zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Haa zenon_H184 zenon_H9a zenon_Ha3 zenon_H9b zenon_H134 zenon_H135 zenon_Ha8 zenon_H230 zenon_Hf4 zenon_H5 zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L368_); trivial. % 0.69/0.92 apply (zenon_L393_); trivial. % 0.69/0.92 (* end of lemma zenon_L394_ *) % 0.69/0.92 assert (zenon_L395_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp22)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Ha8 zenon_H134 zenon_H135 zenon_H230 zenon_Hfe zenon_H9b zenon_Ha3 zenon_H9a zenon_H10b zenon_H109 zenon_H10a zenon_H10 zenon_Hfc. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.92 apply (zenon_L357_); trivial. % 0.69/0.92 apply (zenon_L377_); trivial. % 0.69/0.92 (* end of lemma zenon_L395_ *) % 0.69/0.92 assert (zenon_L396_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> (~(hskp27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H119 zenon_H116 zenon_H93 zenon_H90 zenon_H25f zenon_H25d zenon_H25e zenon_H230 zenon_Ha8 zenon_H135 zenon_H134 zenon_H9b zenon_Ha3 zenon_H9a zenon_Hfe zenon_H18b zenon_Hf4 zenon_H5 zenon_H11 zenon_H81 zenon_H7c zenon_H71 zenon_H70 zenon_H47 zenon_H177 zenon_H66. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.92 apply (zenon_L301_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.92 apply (zenon_L395_); trivial. % 0.69/0.92 apply (zenon_L374_); trivial. % 0.69/0.92 (* end of lemma zenon_L396_ *) % 0.69/0.92 assert (zenon_L397_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c1_1 (a58))) -> (c0_1 (a58)) -> (c3_1 (a58)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Haa zenon_H184 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H18b zenon_Hfe zenon_H9a zenon_Ha3 zenon_H9b zenon_H134 zenon_H135 zenon_Ha8 zenon_H230 zenon_H25e zenon_H25d zenon_H25f zenon_H90 zenon_H93 zenon_H116 zenon_H119. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L396_); trivial. % 0.69/0.92 apply (zenon_L393_); trivial. % 0.69/0.92 (* end of lemma zenon_L397_ *) % 0.69/0.92 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1cb zenon_H97 zenon_H177 zenon_H81 zenon_Hfe zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_H230 zenon_Ha8 zenon_H135 zenon_H134 zenon_H9b zenon_Ha3 zenon_H9a zenon_H184 zenon_Haa zenon_H18b zenon_H6a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H10. zenon_intro zenon_H1cc. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H1b6. zenon_intro zenon_H1cd. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_H1b7. zenon_intro zenon_H1b5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L394_); trivial. % 0.69/0.92 apply (zenon_L397_); trivial. % 0.69/0.92 (* end of lemma zenon_L398_ *) % 0.69/0.92 assert (zenon_L399_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c1_1 (a12)) -> (~(c3_1 (a12))) -> (~(c2_1 (a12))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc4 zenon_H1b1 zenon_H19b zenon_H19a zenon_H199 zenon_H153 zenon_H151 zenon_H1ad zenon_H10 zenon_H6a zenon_H18b zenon_Haa zenon_H184 zenon_H9a zenon_Ha3 zenon_H9b zenon_H134 zenon_H135 zenon_H230 zenon_Hf4 zenon_H5 zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H1a2 zenon_H66 zenon_H119 zenon_H116 zenon_H93 zenon_H90 zenon_Hfe zenon_H81 zenon_H177 zenon_H97 zenon_H1ce. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1cb ]. % 0.69/0.92 apply (zenon_L133_); trivial. % 0.69/0.92 apply (zenon_L398_); trivial. % 0.69/0.92 apply (zenon_L389_); trivial. % 0.69/0.92 (* end of lemma zenon_L399_ *) % 0.69/0.92 assert (zenon_L400_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp22)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Ha8 zenon_H134 zenon_H135 zenon_H230 zenon_H10 zenon_Ha3 zenon_H209 zenon_H9a zenon_H9b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.92 apply (zenon_L357_); trivial. % 0.69/0.92 apply (zenon_L254_); trivial. % 0.69/0.92 (* end of lemma zenon_L400_ *) % 0.69/0.92 assert (zenon_L401_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (ndr1_0) -> False). % 0.69/0.92 do 0 intro. intros zenon_H29 zenon_H27 zenon_Hcc zenon_Hca zenon_Hd3 zenon_H10. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.69/0.92 apply (zenon_L51_); trivial. % 0.69/0.92 exact (zenon_H27 zenon_H28). % 0.69/0.92 (* end of lemma zenon_L401_ *) % 0.69/0.92 assert (zenon_L402_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c3_1 (a34)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp22)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c0_1 (a31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (ndr1_0) -> False). % 0.69/0.92 do 0 intro. intros zenon_H279 zenon_H9b zenon_H9a zenon_Ha3 zenon_H230 zenon_Ha8 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H135 zenon_H134 zenon_H133 zenon_H29 zenon_H27 zenon_Hcc zenon_Hca zenon_H10. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H209 | zenon_intro zenon_H27a ]. % 0.69/0.92 apply (zenon_L400_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H132 | zenon_intro zenon_Hd3 ]. % 0.69/0.92 apply (zenon_L86_); trivial. % 0.69/0.92 apply (zenon_L401_); trivial. % 0.69/0.92 (* end of lemma zenon_L402_ *) % 0.69/0.92 assert (zenon_L403_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (ndr1_0) -> (~(c2_1 (a34))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a34))) -> (c3_1 (a34)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H10 zenon_Ha3 zenon_H209 zenon_H9a zenon_H9b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.92 apply (zenon_L97_); trivial. % 0.69/0.92 apply (zenon_L254_); trivial. % 0.69/0.92 (* end of lemma zenon_L403_ *) % 0.69/0.92 assert (zenon_L404_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (c3_1 (a34)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c0_1 (a31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_He0 zenon_Hc4 zenon_H18b zenon_H9a zenon_Ha3 zenon_H9b zenon_H134 zenon_H135 zenon_H230 zenon_H25e zenon_H25d zenon_H25f zenon_H133 zenon_H29 zenon_H27 zenon_H279. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L402_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H209 | zenon_intro zenon_H27a ]. % 0.69/0.92 apply (zenon_L403_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H132 | zenon_intro zenon_Hd3 ]. % 0.69/0.92 apply (zenon_L86_); trivial. % 0.69/0.92 apply (zenon_L401_); trivial. % 0.69/0.92 (* end of lemma zenon_L404_ *) % 0.69/0.92 assert (zenon_L405_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> (~(c0_1 (a31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_He3 zenon_H133 zenon_H29 zenon_H27 zenon_H279 zenon_H1ce zenon_H97 zenon_H177 zenon_H81 zenon_Hfe zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H66 zenon_H1a2 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_H230 zenon_H135 zenon_H134 zenon_H184 zenon_H18b zenon_H6a zenon_H1ad zenon_H151 zenon_H153 zenon_H199 zenon_H19a zenon_H19b zenon_H1b1 zenon_Hc4. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.92 apply (zenon_L399_); trivial. % 0.69/0.92 apply (zenon_L404_); trivial. % 0.69/0.92 (* end of lemma zenon_L405_ *) % 0.69/0.92 assert (zenon_L406_ : ((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a58))/\((c3_1 (a58))/\(~(c1_1 (a58))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H140 zenon_H11d zenon_He3 zenon_H29 zenon_H27 zenon_H279 zenon_H1ce zenon_H177 zenon_Hfe zenon_H116 zenon_H119 zenon_H5 zenon_Hf4 zenon_H230 zenon_H184 zenon_H18b zenon_H1ad zenon_H151 zenon_H153 zenon_H1b1 zenon_Hc4 zenon_H6a zenon_H2e zenon_H2c zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H81 zenon_H90 zenon_H93 zenon_H97. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H10. zenon_intro zenon_H141. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H135. zenon_intro zenon_H142. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.92 apply (zenon_L367_); trivial. % 0.69/0.92 apply (zenon_L405_); trivial. % 0.69/0.92 (* end of lemma zenon_L406_ *) % 0.69/0.92 assert (zenon_L407_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H6a zenon_H66 zenon_H47 zenon_H2c zenon_H9 zenon_H2e zenon_H61 zenon_H5e zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H25f zenon_H25e zenon_H25d zenon_H13 zenon_H15 zenon_H1e9 zenon_H1eb. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H98 | zenon_intro zenon_H1ec ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.92 apply (zenon_L351_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.92 apply (zenon_L230_); trivial. % 0.69/0.92 exact (zenon_H5e zenon_H5f). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ea ]. % 0.69/0.92 exact (zenon_H11 zenon_H12). % 0.69/0.92 exact (zenon_H1e9 zenon_H1ea). % 0.69/0.92 apply (zenon_L27_); trivial. % 0.69/0.92 (* end of lemma zenon_L407_ *) % 0.69/0.92 assert (zenon_L408_ : (~(hskp14)) -> (hskp14) -> False). % 0.69/0.92 do 0 intro. intros zenon_H27b zenon_H27c. % 0.69/0.92 exact (zenon_H27b zenon_H27c). % 0.69/0.92 (* end of lemma zenon_L408_ *) % 0.69/0.92 assert (zenon_L409_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp29)\/(hskp14))) -> (c2_1 (a92)) -> (~(c3_1 (a92))) -> (~(c0_1 (a92))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp14)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H27d zenon_H16 zenon_H19 zenon_H17 zenon_H10 zenon_Hfc zenon_H27b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H222 | zenon_intro zenon_H27e ]. % 0.69/0.92 apply (zenon_L225_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_Hfd | zenon_intro zenon_H27c ]. % 0.69/0.92 exact (zenon_Hfc zenon_Hfd). % 0.69/0.92 exact (zenon_H27b zenon_H27c). % 0.69/0.92 (* end of lemma zenon_L409_ *) % 0.69/0.92 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a15)) -> (c1_1 (a15)) -> (c0_1 (a15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H112 zenon_H66 zenon_H93 zenon_H90 zenon_H10b zenon_H10a zenon_H109 zenon_H47 zenon_H70 zenon_H71 zenon_H7c zenon_H81 zenon_H2c zenon_H9 zenon_H2e. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H10. zenon_intro zenon_H113. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H100. zenon_intro zenon_H114. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H101. zenon_intro zenon_H102. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.92 apply (zenon_L15_); trivial. % 0.69/0.92 apply (zenon_L373_); trivial. % 0.69/0.92 (* end of lemma zenon_L410_ *) % 0.69/0.92 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(c0_1 (a92))) -> (~(c3_1 (a92))) -> (c2_1 (a92)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp29)\/(hskp14))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H115 zenon_H116 zenon_H66 zenon_H93 zenon_H90 zenon_H47 zenon_H70 zenon_H71 zenon_H7c zenon_H81 zenon_H2c zenon_H9 zenon_H2e zenon_H17 zenon_H19 zenon_H16 zenon_H27b zenon_H27d. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.92 apply (zenon_L409_); trivial. % 0.69/0.92 apply (zenon_L410_); trivial. % 0.69/0.92 (* end of lemma zenon_L411_ *) % 0.69/0.92 assert (zenon_L412_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp29)\/(hskp14))) -> (~(hskp14)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H92 zenon_H6d zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_Hf4 zenon_H27d zenon_H27b zenon_H2e zenon_H2c zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H5 zenon_H9 zenon_Hb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.92 apply (zenon_L6_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.92 apply (zenon_L301_); trivial. % 0.69/0.92 apply (zenon_L411_); trivial. % 0.69/0.92 apply (zenon_L221_); trivial. % 0.69/0.92 (* end of lemma zenon_L412_ *) % 0.69/0.92 assert (zenon_L413_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> (c2_1 (a92)) -> (~(c3_1 (a92))) -> (~(c0_1 (a92))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp3)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H226 zenon_H16 zenon_H19 zenon_H17 zenon_Hcb zenon_Hcc zenon_Hca zenon_H10 zenon_H209 zenon_H1c7. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H222 | zenon_intro zenon_H227 ]. % 0.69/0.92 apply (zenon_L225_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H1c8 ]. % 0.69/0.92 apply (zenon_L195_); trivial. % 0.69/0.92 exact (zenon_H1c7 zenon_H1c8). % 0.69/0.92 (* end of lemma zenon_L413_ *) % 0.69/0.92 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp3)) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> (~(c0_1 (a92))) -> (~(c3_1 (a92))) -> (c2_1 (a92)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H60 zenon_H20f zenon_H1c7 zenon_Hca zenon_Hcc zenon_Hcb zenon_H17 zenon_H19 zenon_H16 zenon_H226 zenon_H47 zenon_H1c3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H209 | zenon_intro zenon_H210 ]. % 0.69/0.92 apply (zenon_L413_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H49 | zenon_intro zenon_H1c4 ]. % 0.69/0.92 apply (zenon_L24_); trivial. % 0.69/0.92 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.92 (* end of lemma zenon_L414_ *) % 0.69/0.92 assert (zenon_L415_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H69 zenon_H66 zenon_H20f zenon_H1c3 zenon_H47 zenon_H1c7 zenon_H226 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.92 apply (zenon_L194_); trivial. % 0.69/0.92 apply (zenon_L414_); trivial. % 0.69/0.92 (* end of lemma zenon_L415_ *) % 0.69/0.92 assert (zenon_L416_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> False). % 0.69/0.92 do 0 intro. intros zenon_He0 zenon_H6d zenon_H66 zenon_H20f zenon_H1c3 zenon_H47 zenon_H1c7 zenon_H226 zenon_H207 zenon_H5 zenon_H9 zenon_Hb. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.69/0.92 apply (zenon_L6_); trivial. % 0.69/0.92 apply (zenon_L415_); trivial. % 0.69/0.92 (* end of lemma zenon_L416_ *) % 0.69/0.92 assert (zenon_L417_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc6 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H49 zenon_H10 zenon_H90 zenon_H5. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc7 ]. % 0.69/0.92 apply (zenon_L230_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H91 | zenon_intro zenon_H6 ]. % 0.69/0.92 exact (zenon_H90 zenon_H91). % 0.69/0.92 exact (zenon_H5 zenon_H6). % 0.69/0.92 (* end of lemma zenon_L417_ *) % 0.69/0.92 assert (zenon_L418_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H20f zenon_H1c3 zenon_H90 zenon_H5 zenon_Hc6 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L235_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H209 | zenon_intro zenon_H210 ]. % 0.69/0.92 apply (zenon_L403_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H49 | zenon_intro zenon_H1c4 ]. % 0.69/0.92 apply (zenon_L417_); trivial. % 0.69/0.92 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.92 (* end of lemma zenon_L418_ *) % 0.69/0.92 assert (zenon_L419_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a26))) -> (~(c1_1 (a26))) -> (~(c2_1 (a26))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H209 zenon_H10 zenon_H27f zenon_H280 zenon_H281. % 0.69/0.92 generalize (zenon_H209 (a26)). zenon_intro zenon_H282. % 0.69/0.92 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_Hf | zenon_intro zenon_H283 ]. % 0.69/0.92 exact (zenon_Hf zenon_H10). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 0.69/0.92 exact (zenon_H27f zenon_H285). % 0.69/0.92 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H287 | zenon_intro zenon_H286 ]. % 0.69/0.92 exact (zenon_H280 zenon_H287). % 0.69/0.92 exact (zenon_H281 zenon_H286). % 0.69/0.92 (* end of lemma zenon_L419_ *) % 0.69/0.92 assert (zenon_L420_ : ((ndr1_0)/\((~(c0_1 (a26)))/\((~(c1_1 (a26)))/\(~(c2_1 (a26)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp7)) -> (~(hskp6)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> (~(hskp1)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H288 zenon_H20f zenon_H5 zenon_H90 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc6 zenon_H1c3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H10. zenon_intro zenon_H289. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H27f. zenon_intro zenon_H28a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H280. zenon_intro zenon_H281. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H209 | zenon_intro zenon_H210 ]. % 0.69/0.92 apply (zenon_L419_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H49 | zenon_intro zenon_H1c4 ]. % 0.69/0.92 apply (zenon_L417_); trivial. % 0.69/0.92 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.92 (* end of lemma zenon_L420_ *) % 0.69/0.92 assert (zenon_L421_ : ((ndr1_0)/\((c1_1 (a11))/\((c2_1 (a11))/\(~(c3_1 (a11)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a26)))/\((~(c1_1 (a26)))/\(~(c2_1 (a26))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp7)\/((hskp26)\/(hskp18))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp2)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((hskp29)\/(hskp14))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1f6 zenon_H28b zenon_He3 zenon_H20f zenon_H1c3 zenon_H1c7 zenon_H226 zenon_H207 zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H15 zenon_Hb zenon_H5 zenon_H119 zenon_H116 zenon_H93 zenon_H90 zenon_H2c zenon_H2e zenon_H27d zenon_Hf4 zenon_H81 zenon_H47 zenon_H177 zenon_H66 zenon_H6d zenon_H97 zenon_H230 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hc6 zenon_Hc4 zenon_H11d. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H27b | zenon_intro zenon_H288 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L239_); trivial. % 0.69/0.92 apply (zenon_L412_); trivial. % 0.69/0.92 apply (zenon_L416_); trivial. % 0.69/0.92 apply (zenon_L418_); trivial. % 0.69/0.92 apply (zenon_L420_); trivial. % 0.69/0.92 (* end of lemma zenon_L421_ *) % 0.69/0.92 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp19)) -> False). % 0.69/0.92 do 0 intro. intros zenon_H115 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_Haa. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.92 apply (zenon_L97_); trivial. % 0.69/0.92 apply (zenon_L303_); trivial. % 0.69/0.92 (* end of lemma zenon_L422_ *) % 0.69/0.92 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc1 zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H25f zenon_H25d zenon_H25e zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H18b zenon_H119. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.92 apply (zenon_L104_); trivial. % 0.69/0.92 apply (zenon_L422_); trivial. % 0.69/0.92 apply (zenon_L221_); trivial. % 0.69/0.92 (* end of lemma zenon_L423_ *) % 0.69/0.92 assert (zenon_L424_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H275 zenon_H170 zenon_H16f zenon_H16e zenon_H25e zenon_H25d zenon_H25f zenon_H209 zenon_H10 zenon_Hca zenon_Hcc zenon_Hcb. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H6e | zenon_intro zenon_H276 ]. % 0.69/0.92 apply (zenon_L103_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H188 | zenon_intro zenon_Hd3 ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_L195_); trivial. % 0.69/0.92 (* end of lemma zenon_L424_ *) % 0.69/0.92 assert (zenon_L425_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> False). % 0.69/0.92 do 0 intro. intros zenon_He0 zenon_H66 zenon_H20f zenon_H1c3 zenon_H47 zenon_H16e zenon_H16f zenon_H170 zenon_H25f zenon_H25d zenon_H25e zenon_H275 zenon_H9 zenon_H207. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.92 apply (zenon_L194_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H209 | zenon_intro zenon_H210 ]. % 0.69/0.92 apply (zenon_L424_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H49 | zenon_intro zenon_H1c4 ]. % 0.69/0.92 apply (zenon_L24_); trivial. % 0.69/0.92 exact (zenon_H1c3 zenon_H1c4). % 0.69/0.92 (* end of lemma zenon_L425_ *) % 0.69/0.92 assert (zenon_L426_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_He3 zenon_H66 zenon_H20f zenon_H1c3 zenon_H47 zenon_H275 zenon_H9 zenon_H207 zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_H184 zenon_H119 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hc4. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L267_); trivial. % 0.69/0.92 apply (zenon_L423_); trivial. % 0.69/0.92 apply (zenon_L425_); trivial. % 0.69/0.92 (* end of lemma zenon_L426_ *) % 0.69/0.92 assert (zenon_L427_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H93 zenon_H90 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H170 zenon_H16f zenon_H16e zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L235_); trivial. % 0.69/0.92 apply (zenon_L361_); trivial. % 0.69/0.92 (* end of lemma zenon_L427_ *) % 0.69/0.92 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H25a zenon_H11d zenon_H93 zenon_H90 zenon_H230 zenon_Hc4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H177 zenon_H6a zenon_H207 zenon_H275 zenon_H47 zenon_H1c3 zenon_H20f zenon_H66 zenon_He3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.92 apply (zenon_L426_); trivial. % 0.69/0.92 apply (zenon_L427_); trivial. % 0.69/0.92 (* end of lemma zenon_L428_ *) % 0.69/0.92 assert (zenon_L429_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c1_1 (a43))) -> (~(c3_1 (a43))) -> (c2_1 (a43)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H92 zenon_H6a zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_Hb2 zenon_Hb1 zenon_Hb3 zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H18b zenon_H119. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.92 apply (zenon_L301_); trivial. % 0.69/0.92 apply (zenon_L422_); trivial. % 0.69/0.92 apply (zenon_L221_); trivial. % 0.69/0.92 (* end of lemma zenon_L429_ *) % 0.69/0.92 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc1 zenon_H97 zenon_H177 zenon_H81 zenon_H5 zenon_Hf4 zenon_H184 zenon_Haa zenon_H18b zenon_H119 zenon_H1eb zenon_H1e9 zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H5e zenon_H61 zenon_H2e zenon_H9 zenon_H2c zenon_H47 zenon_H66 zenon_H6a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L407_); trivial. % 0.69/0.92 apply (zenon_L429_); trivial. % 0.69/0.92 (* end of lemma zenon_L430_ *) % 0.69/0.92 assert (zenon_L431_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc4 zenon_H97 zenon_H177 zenon_H81 zenon_Hf4 zenon_H18b zenon_H1eb zenon_H1e9 zenon_H15 zenon_H25d zenon_H25e zenon_H25f zenon_H5e zenon_H61 zenon_H2e zenon_H9 zenon_H2c zenon_H47 zenon_H66 zenon_H6a zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_Haa zenon_H184 zenon_H119. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L300_); trivial. % 0.69/0.92 apply (zenon_L430_); trivial. % 0.69/0.92 (* end of lemma zenon_L431_ *) % 0.69/0.92 assert (zenon_L432_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c3_1 (a34)) -> (~(c1_1 (a34))) -> (~(c2_1 (a34))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(hskp2)) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc1 zenon_H239 zenon_H9b zenon_H9a zenon_Ha3 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H190 zenon_H18f zenon_H18e zenon_H2c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H209 | zenon_intro zenon_H23a ]. % 0.69/0.92 apply (zenon_L403_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H18d | zenon_intro zenon_H2d ]. % 0.69/0.92 apply (zenon_L120_); trivial. % 0.69/0.92 exact (zenon_H2c zenon_H2d). % 0.69/0.92 (* end of lemma zenon_L432_ *) % 0.69/0.92 assert (zenon_L433_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L235_); trivial. % 0.69/0.92 apply (zenon_L432_); trivial. % 0.69/0.92 (* end of lemma zenon_L433_ *) % 0.69/0.92 assert (zenon_L434_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H239 zenon_H2c zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H18e zenon_H18f zenon_H190 zenon_H1ad zenon_H151 zenon_H153 zenon_H243. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L294_); trivial. % 0.69/0.92 apply (zenon_L432_); trivial. % 0.69/0.92 (* end of lemma zenon_L434_ *) % 0.69/0.92 assert (zenon_L435_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc1 zenon_H97 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_H6a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L239_); trivial. % 0.69/0.92 apply (zenon_L429_); trivial. % 0.69/0.92 (* end of lemma zenon_L435_ *) % 0.69/0.92 assert (zenon_L436_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc4 zenon_H97 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H6a zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_Haa zenon_H184 zenon_H119. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L300_); trivial. % 0.69/0.92 apply (zenon_L435_); trivial. % 0.69/0.92 (* end of lemma zenon_L436_ *) % 0.69/0.92 assert (zenon_L437_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H65 zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.92 apply (zenon_L194_); trivial. % 0.69/0.92 apply (zenon_L26_); trivial. % 0.69/0.92 (* end of lemma zenon_L437_ *) % 0.69/0.92 assert (zenon_L438_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207 zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L157_); trivial. % 0.69/0.92 apply (zenon_L437_); trivial. % 0.69/0.92 (* end of lemma zenon_L438_ *) % 0.69/0.92 assert (zenon_L439_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a64))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H66 zenon_H275 zenon_Hca zenon_Hcc zenon_Hcb zenon_H18e zenon_H18f zenon_H190 zenon_H2c zenon_H239 zenon_H25e zenon_H25d zenon_H25f zenon_H47 zenon_H70 zenon_H71 zenon_H7c zenon_H81 zenon_H11 zenon_H5 zenon_Hf4. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.92 apply (zenon_L62_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H6e | zenon_intro zenon_H276 ]. % 0.69/0.92 apply (zenon_L33_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H188 | zenon_intro zenon_Hd3 ]. % 0.69/0.92 apply (zenon_L355_); trivial. % 0.69/0.92 apply (zenon_L251_); trivial. % 0.69/0.92 (* end of lemma zenon_L439_ *) % 0.69/0.92 assert (zenon_L440_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_He0 zenon_H97 zenon_Hf4 zenon_H5 zenon_H81 zenon_H25f zenon_H25d zenon_H25e zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H275 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H207 zenon_H9 zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L438_); trivial. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L439_); trivial. % 0.69/0.92 apply (zenon_L437_); trivial. % 0.69/0.92 (* end of lemma zenon_L440_ *) % 0.69/0.92 assert (zenon_L441_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a12))) -> (~(c3_1 (a12))) -> (c1_1 (a12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc4 zenon_H97 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Haa zenon_H184 zenon_H6a zenon_H10 zenon_H18e zenon_H18f zenon_H190 zenon_H1ad zenon_H151 zenon_H153 zenon_H243. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L294_); trivial. % 0.69/0.92 apply (zenon_L435_); trivial. % 0.69/0.92 (* end of lemma zenon_L441_ *) % 0.69/0.92 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H1dd zenon_H11d zenon_H230 zenon_Hc4 zenon_H97 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H18e zenon_H18f zenon_H190 zenon_H243 zenon_H61 zenon_H5e zenon_H207 zenon_H275 zenon_H2c zenon_H239 zenon_He3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.92 apply (zenon_L441_); trivial. % 0.69/0.92 apply (zenon_L440_); trivial. % 0.69/0.92 apply (zenon_L433_); trivial. % 0.69/0.92 (* end of lemma zenon_L442_ *) % 0.69/0.92 assert (zenon_L443_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(hskp2)) -> False). % 0.69/0.92 do 0 intro. intros zenon_He0 zenon_H239 zenon_H25f zenon_H25d zenon_H25e zenon_H16e zenon_H16f zenon_H170 zenon_H275 zenon_H190 zenon_H18f zenon_H18e zenon_H2c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H209 | zenon_intro zenon_H23a ]. % 0.69/0.92 apply (zenon_L424_); trivial. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H18d | zenon_intro zenon_H2d ]. % 0.69/0.92 apply (zenon_L120_); trivial. % 0.69/0.92 exact (zenon_H2c zenon_H2d). % 0.69/0.92 (* end of lemma zenon_L443_ *) % 0.69/0.92 assert (zenon_L444_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H11a zenon_He3 zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H275 zenon_H230 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H119 zenon_H18b zenon_H184 zenon_H25e zenon_H25d zenon_H25f zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a zenon_Hc4. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.69/0.92 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.92 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.92 apply (zenon_L235_); trivial. % 0.69/0.92 apply (zenon_L423_); trivial. % 0.69/0.92 apply (zenon_L443_); trivial. % 0.69/0.92 (* end of lemma zenon_L444_ *) % 0.69/0.92 assert (zenon_L445_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H25a zenon_H11d zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H230 zenon_Hc4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H177 zenon_H6a zenon_H207 zenon_H275 zenon_H47 zenon_H1c3 zenon_H20f zenon_H66 zenon_He3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.69/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.69/0.92 apply (zenon_L426_); trivial. % 0.69/0.92 apply (zenon_L444_); trivial. % 0.69/0.92 (* end of lemma zenon_L445_ *) % 0.69/0.92 assert (zenon_L446_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_H6a zenon_H2c zenon_H9 zenon_H2e zenon_Hf4 zenon_H5 zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.92 apply (zenon_L368_); trivial. % 0.69/0.92 apply (zenon_L124_); trivial. % 0.69/0.92 (* end of lemma zenon_L446_ *) % 0.69/0.92 assert (zenon_L447_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc1 zenon_H97 zenon_H177 zenon_H81 zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H18b zenon_H119 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H5 zenon_Hf4 zenon_H2e zenon_H9 zenon_H2c zenon_H6a. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.92 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.92 apply (zenon_L446_); trivial. % 0.69/0.92 apply (zenon_L429_); trivial. % 0.69/0.92 (* end of lemma zenon_L447_ *) % 0.69/0.92 assert (zenon_L448_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp28)\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.92 do 0 intro. intros zenon_Hc4 zenon_H97 zenon_H177 zenon_H81 zenon_H18b zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_Hf4 zenon_H2e zenon_H9 zenon_H2c zenon_H6a zenon_Hfa zenon_Hf8 zenon_H5 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_Haa zenon_H184 zenon_H119. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.93 apply (zenon_L300_); trivial. % 0.69/0.93 apply (zenon_L447_); trivial. % 0.69/0.93 (* end of lemma zenon_L448_ *) % 0.69/0.93 assert (zenon_L449_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (~(hskp19)) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (c3_1 (a15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp29)) -> False). % 0.69/0.93 do 0 intro. intros zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_Haa zenon_Ha8 zenon_H10 zenon_H10a zenon_H109 zenon_H10b zenon_Hc5 zenon_Hfc. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.93 apply (zenon_L295_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.93 apply (zenon_L265_); trivial. % 0.69/0.93 exact (zenon_Hfc zenon_Hfd). % 0.69/0.93 (* end of lemma zenon_L449_ *) % 0.69/0.93 assert (zenon_L450_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (c3_1 (a15)) -> (c0_1 (a15)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c1_1 (a15)) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.69/0.93 do 0 intro. intros zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_H10b zenon_H109 zenon_Ha2 zenon_H10a zenon_H10 zenon_Hfc. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hac | zenon_intro zenon_Hff ]. % 0.69/0.93 apply (zenon_L295_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H44 | zenon_intro zenon_Hfd ]. % 0.69/0.93 apply (zenon_L264_); trivial. % 0.69/0.93 exact (zenon_Hfc zenon_Hfd). % 0.69/0.93 (* end of lemma zenon_L450_ *) % 0.69/0.93 assert (zenon_L451_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp29)) -> (c1_1 (a15)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (ndr1_0) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> False). % 0.69/0.93 do 0 intro. intros zenon_H61 zenon_Hfc zenon_H10a zenon_Ha2 zenon_H109 zenon_H10b zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_Hfe zenon_H56 zenon_H4c zenon_H4b zenon_H10 zenon_H47 zenon_H5e. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.69/0.93 apply (zenon_L450_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.69/0.93 apply (zenon_L24_); trivial. % 0.69/0.93 exact (zenon_H5e zenon_H5f). % 0.69/0.93 (* end of lemma zenon_L451_ *) % 0.69/0.93 assert (zenon_L452_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_H92 zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H66 zenon_H18b zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H5e zenon_H61 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H25e zenon_H25d zenon_H25f zenon_H2c zenon_H9 zenon_H2e zenon_H81 zenon_H90 zenon_H93 zenon_H116 zenon_H119. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.93 apply (zenon_L104_); trivial. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.93 apply (zenon_L15_); trivial. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.93 apply (zenon_L355_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.93 apply (zenon_L97_); trivial. % 0.69/0.93 apply (zenon_L451_); trivial. % 0.69/0.93 apply (zenon_L410_); trivial. % 0.69/0.93 apply (zenon_L27_); trivial. % 0.69/0.93 (* end of lemma zenon_L452_ *) % 0.69/0.93 assert (zenon_L453_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_Hc1 zenon_H97 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H18b zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H25e zenon_H25d zenon_H25f zenon_H81 zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H2e zenon_H9 zenon_H2c zenon_H47 zenon_H5e zenon_H61 zenon_H66 zenon_H6a. % 0.69/0.93 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.93 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.93 apply (zenon_L158_); trivial. % 0.69/0.93 apply (zenon_L452_); trivial. % 0.69/0.93 (* end of lemma zenon_L453_ *) % 0.69/0.93 assert (zenon_L454_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp29)) -> (c1_1 (a15)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a15)) -> (c3_1 (a15)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (ndr1_0) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.69/0.93 do 0 intro. intros zenon_H1a2 zenon_Hfc zenon_H10a zenon_Ha2 zenon_H109 zenon_H10b zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_Hfe zenon_H56 zenon_H4c zenon_H4b zenon_H47 zenon_H10 zenon_H199 zenon_H19a zenon_H19b. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.69/0.93 apply (zenon_L450_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.69/0.93 apply (zenon_L24_); trivial. % 0.69/0.93 apply (zenon_L122_); trivial. % 0.69/0.93 (* end of lemma zenon_L454_ *) % 0.69/0.93 assert (zenon_L455_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a43)) -> (~(c3_1 (a43))) -> (~(c1_1 (a43))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp2)) -> (~(hskp18)) -> ((hskp30)\/((hskp2)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_H92 zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H66 zenon_H18b zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_Hb3 zenon_Hb1 zenon_Hb2 zenon_H25e zenon_H25d zenon_H25f zenon_H2c zenon_H9 zenon_H2e zenon_H81 zenon_H90 zenon_H93 zenon_H116 zenon_H119. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.93 apply (zenon_L104_); trivial. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.69/0.93 apply (zenon_L15_); trivial. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.93 apply (zenon_L355_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.93 apply (zenon_L97_); trivial. % 0.69/0.93 apply (zenon_L454_); trivial. % 0.69/0.93 apply (zenon_L410_); trivial. % 0.69/0.93 apply (zenon_L124_); trivial. % 0.69/0.93 (* end of lemma zenon_L455_ *) % 0.69/0.93 assert (zenon_L456_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp29))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp6)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(c2_1 (a25)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((hskp30)\/((hskp2)\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_Hc1 zenon_H97 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H18b zenon_Hfe zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H25e zenon_H25d zenon_H25f zenon_H81 zenon_H90 zenon_H93 zenon_H116 zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H2e zenon_H9 zenon_H2c zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a. % 0.69/0.93 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.69/0.93 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.69/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.93 apply (zenon_L164_); trivial. % 0.69/0.93 apply (zenon_L455_); trivial. % 0.69/0.93 (* end of lemma zenon_L456_ *) % 0.69/0.93 assert (zenon_L457_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/(hskp6))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> (ndr1_0) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp6)\/(hskp7))) -> False). % 0.69/0.93 do 0 intro. intros zenon_H253 zenon_H11d zenon_H93 zenon_H230 zenon_Hc4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H184 zenon_Hc5 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H177 zenon_H6a zenon_H207 zenon_H275 zenon_H47 zenon_H1c3 zenon_H20f zenon_H66 zenon_He3 zenon_H10 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H90 zenon_Hc6. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.69/0.93 apply (zenon_L161_); trivial. % 0.69/0.93 apply (zenon_L428_); trivial. % 0.69/0.93 (* end of lemma zenon_L457_ *) % 0.69/0.93 assert (zenon_L458_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.69/0.93 do 0 intro. intros zenon_He0 zenon_H6a zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H9 zenon_H207 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.69/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.69/0.93 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.69/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.93 apply (zenon_L151_); trivial. % 0.69/0.93 apply (zenon_L437_); trivial. % 0.69/0.93 (* end of lemma zenon_L458_ *) % 0.69/0.93 assert (zenon_L459_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_He3 zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H9 zenon_H207 zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a. % 0.69/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.69/0.93 apply (zenon_L291_); trivial. % 0.69/0.93 apply (zenon_L458_); trivial. % 0.69/0.93 (* end of lemma zenon_L459_ *) % 0.69/0.93 assert (zenon_L460_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.69/0.93 do 0 intro. intros zenon_H230 zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_Ha8. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.69/0.93 apply (zenon_L295_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.69/0.93 apply (zenon_L143_); trivial. % 0.69/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.69/0.93 (* end of lemma zenon_L460_ *) % 0.69/0.93 assert (zenon_L461_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> (~(hskp22)) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (c3_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp9)) -> (~(hskp16)) -> False). % 0.69/0.93 do 0 intro. intros zenon_H24d zenon_Ha8 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H1e1 zenon_H1e0 zenon_H1e2 zenon_H230 zenon_Hf8 zenon_H12b. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H30 | zenon_intro zenon_H24e ]. % 0.69/0.93 apply (zenon_L460_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H12c ]. % 0.69/0.93 exact (zenon_Hf8 zenon_Hf9). % 0.69/0.93 exact (zenon_H12b zenon_H12c). % 0.69/0.93 (* end of lemma zenon_L461_ *) % 0.69/0.93 assert (zenon_L462_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> False). % 0.69/0.93 do 0 intro. intros zenon_Hc4 zenon_H97 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_Haa zenon_H184 zenon_H6a zenon_H230 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H10 zenon_Hf8 zenon_H12b zenon_H24d. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.93 apply (zenon_L461_); trivial. % 0.69/0.93 apply (zenon_L435_); trivial. % 0.69/0.93 (* end of lemma zenon_L462_ *) % 0.69/0.93 assert (zenon_L463_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a15)) -> (c0_1 (a15)) -> (c3_1 (a15)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> False). % 0.69/0.93 do 0 intro. intros zenon_H184 zenon_H135 zenon_H134 zenon_H15e zenon_Ha8 zenon_H10 zenon_H10a zenon_H109 zenon_H10b zenon_Hc5 zenon_Haa. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H179 | zenon_intro zenon_H185 ]. % 0.69/0.93 apply (zenon_L356_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H44 | zenon_intro zenon_Hab ]. % 0.69/0.93 apply (zenon_L265_); trivial. % 0.69/0.93 exact (zenon_Haa zenon_Hab). % 0.69/0.93 (* end of lemma zenon_L463_ *) % 0.69/0.93 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp22)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(hskp19)) -> False). % 0.69/0.93 do 0 intro. intros zenon_H115 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Hc5 zenon_Ha8 zenon_H134 zenon_H135 zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_Haa. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.69/0.93 apply (zenon_L355_); trivial. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.69/0.93 apply (zenon_L463_); trivial. % 0.69/0.93 apply (zenon_L303_); trivial. % 0.69/0.93 (* end of lemma zenon_L464_ *) % 0.69/0.93 assert (zenon_L465_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp22)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_H92 zenon_H6a zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H184 zenon_Ha8 zenon_Haa zenon_Hc5 zenon_H135 zenon_H134 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H18b zenon_H119. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.69/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.69/0.93 apply (zenon_L301_); trivial. % 0.69/0.93 apply (zenon_L464_); trivial. % 0.69/0.93 apply (zenon_L221_); trivial. % 0.69/0.93 (* end of lemma zenon_L465_ *) % 0.69/0.93 assert (zenon_L466_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> False). % 0.69/0.93 do 0 intro. intros zenon_Hc4 zenon_H6a zenon_H184 zenon_Haa zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H15 zenon_H119 zenon_H18b zenon_H134 zenon_H135 zenon_Hc5 zenon_H25e zenon_H25d zenon_H25f zenon_Hf4 zenon_H5 zenon_H81 zenon_H47 zenon_H177 zenon_H66 zenon_H97. % 0.69/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.69/0.93 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.69/0.93 apply (zenon_L239_); trivial. % 0.69/0.93 apply (zenon_L465_); trivial. % 0.69/0.93 apply (zenon_L435_); trivial. % 0.69/0.93 (* end of lemma zenon_L466_ *) % 0.69/0.93 assert (zenon_L467_ : ((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H140 zenon_H16d zenon_Hf8 zenon_H23e zenon_Hc4 zenon_H6a zenon_H184 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H15 zenon_H119 zenon_H18b zenon_Hc5 zenon_H25e zenon_H25d zenon_H25f zenon_Hf4 zenon_H5 zenon_H81 zenon_H47 zenon_H177 zenon_H66 zenon_H97 zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_Hde zenon_He3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H10. zenon_intro zenon_H141. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H135. zenon_intro zenon_H142. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L466_); trivial. % 0.77/0.93 apply (zenon_L252_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L466_); trivial. % 0.77/0.93 apply (zenon_L262_); trivial. % 0.77/0.93 (* end of lemma zenon_L467_ *) % 0.77/0.93 assert (zenon_L468_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc4 zenon_H6a zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H25f zenon_H25d zenon_H25e zenon_H184 zenon_Haa zenon_H18b zenon_H119 zenon_H230 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H10 zenon_Hf8 zenon_H12b zenon_H24d. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.93 apply (zenon_L461_); trivial. % 0.77/0.93 apply (zenon_L423_); trivial. % 0.77/0.93 (* end of lemma zenon_L468_ *) % 0.77/0.93 assert (zenon_L469_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc4 zenon_H119 zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H134 zenon_H135 zenon_Hc5 zenon_Haa zenon_H184 zenon_H25e zenon_H25d zenon_H25f zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.77/0.93 apply (zenon_L104_); trivial. % 0.77/0.93 apply (zenon_L464_); trivial. % 0.77/0.93 apply (zenon_L221_); trivial. % 0.77/0.93 apply (zenon_L423_); trivial. % 0.77/0.93 (* end of lemma zenon_L469_ *) % 0.77/0.93 assert (zenon_L470_ : ((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H140 zenon_H16d zenon_Hf8 zenon_H23e zenon_Hc4 zenon_H119 zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Hc5 zenon_H184 zenon_H25e zenon_H25d zenon_H25f zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_Hde zenon_He3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H10. zenon_intro zenon_H141. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H135. zenon_intro zenon_H142. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L469_); trivial. % 0.77/0.93 apply (zenon_L252_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L469_); trivial. % 0.77/0.93 apply (zenon_L262_); trivial. % 0.77/0.93 (* end of lemma zenon_L470_ *) % 0.77/0.93 assert (zenon_L471_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1dd zenon_He3 zenon_H239 zenon_H2c zenon_H275 zenon_H243 zenon_H190 zenon_H18f zenon_H18e zenon_H119 zenon_H18b zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H25e zenon_H25d zenon_H25f zenon_H16e zenon_H16f zenon_H170 zenon_H177 zenon_H6a zenon_Hc4. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.93 apply (zenon_L294_); trivial. % 0.77/0.93 apply (zenon_L423_); trivial. % 0.77/0.93 apply (zenon_L443_); trivial. % 0.77/0.93 (* end of lemma zenon_L471_ *) % 0.77/0.93 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((hskp9)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a31))/\((~(c0_1 (a31)))/\(~(c1_1 (a31))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H25a zenon_H1dc zenon_H275 zenon_H243 zenon_H16d zenon_H23e zenon_Hc4 zenon_H6a zenon_H177 zenon_H25f zenon_H25d zenon_H25e zenon_H184 zenon_H18b zenon_H119 zenon_H230 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H1e2 zenon_H1e0 zenon_H1e1 zenon_H24d zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_Hde zenon_He3 zenon_Hc5 zenon_H143. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L468_); trivial. % 0.77/0.93 apply (zenon_L252_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L468_); trivial. % 0.77/0.93 apply (zenon_L262_); trivial. % 0.77/0.93 apply (zenon_L470_); trivial. % 0.77/0.93 apply (zenon_L471_); trivial. % 0.77/0.93 (* end of lemma zenon_L472_ *) % 0.77/0.93 assert (zenon_L473_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H65 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.93 apply (zenon_L194_); trivial. % 0.77/0.93 apply (zenon_L123_); trivial. % 0.77/0.93 (* end of lemma zenon_L473_ *) % 0.77/0.93 assert (zenon_L474_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(c0_1 (a4))) -> (~(c1_1 (a4))) -> (c3_1 (a4)) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> False). % 0.77/0.93 do 0 intro. intros zenon_He0 zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H9 zenon_H207 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1e9 zenon_H1eb. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_L151_); trivial. % 0.77/0.93 apply (zenon_L473_); trivial. % 0.77/0.93 (* end of lemma zenon_L474_ *) % 0.77/0.93 assert (zenon_L475_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c1_1 X11)\/(~(c3_1 X11))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a4)) -> (~(c1_1 (a4))) -> (~(c0_1 (a4))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_He3 zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H9 zenon_H207 zenon_H1eb zenon_H1e9 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H10 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L291_); trivial. % 0.77/0.93 apply (zenon_L474_); trivial. % 0.77/0.93 (* end of lemma zenon_L475_ *) % 0.77/0.93 assert (zenon_L476_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (ndr1_0) -> (~(c3_1 (a11))) -> (c1_1 (a11)) -> (c2_1 (a11)) -> (~(hskp25)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H6a zenon_H66 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207 zenon_H10 zenon_H1ef zenon_H1ee zenon_H1ed zenon_H13 zenon_H15. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_L157_); trivial. % 0.77/0.93 apply (zenon_L473_); trivial. % 0.77/0.93 (* end of lemma zenon_L476_ *) % 0.77/0.93 assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H9 zenon_H207 zenon_Hf4 zenon_H5 zenon_H81 zenon_H47 zenon_H25f zenon_H25d zenon_H25e zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_Hcb zenon_Hcc zenon_Hca zenon_H275 zenon_H66. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_L439_); trivial. % 0.77/0.93 apply (zenon_L473_); trivial. % 0.77/0.93 (* end of lemma zenon_L477_ *) % 0.77/0.93 assert (zenon_L478_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a8)) -> (~(c3_1 (a8))) -> (~(c2_1 (a8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_He0 zenon_H97 zenon_Hf4 zenon_H5 zenon_H81 zenon_H25f zenon_H25d zenon_H25e zenon_H239 zenon_H2c zenon_H190 zenon_H18f zenon_H18e zenon_H275 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H207 zenon_H9 zenon_H47 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H66 zenon_H6a. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.93 apply (zenon_L476_); trivial. % 0.77/0.93 apply (zenon_L477_); trivial. % 0.77/0.93 (* end of lemma zenon_L478_ *) % 0.77/0.93 assert (zenon_L479_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (c2_1 (a11)) -> (c1_1 (a11)) -> (~(c3_1 (a11))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1dd zenon_H11d zenon_H230 zenon_Hc4 zenon_H97 zenon_H66 zenon_H177 zenon_H47 zenon_H81 zenon_H5 zenon_Hf4 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_H119 zenon_H15 zenon_H1ed zenon_H1ee zenon_H1ef zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H184 zenon_H6a zenon_H18e zenon_H18f zenon_H190 zenon_H243 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H207 zenon_H275 zenon_H2c zenon_H239 zenon_He3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L441_); trivial. % 0.77/0.93 apply (zenon_L478_); trivial. % 0.77/0.93 apply (zenon_L433_); trivial. % 0.77/0.93 (* end of lemma zenon_L479_ *) % 0.77/0.93 assert (zenon_L480_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp15)\/(hskp4))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp4)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H28c zenon_H25e zenon_H25d zenon_H25f zenon_H10 zenon_H28d zenon_H27. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H188 | zenon_intro zenon_H28e ]. % 0.77/0.93 apply (zenon_L355_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H28f | zenon_intro zenon_H28 ]. % 0.77/0.93 exact (zenon_H28d zenon_H28f). % 0.77/0.93 exact (zenon_H27 zenon_H28). % 0.77/0.93 (* end of lemma zenon_L480_ *) % 0.77/0.93 assert (zenon_L481_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H6a zenon_H47 zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H5e zenon_H61. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.93 apply (zenon_L351_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 exact (zenon_H5e zenon_H5f). % 0.77/0.93 apply (zenon_L172_); trivial. % 0.77/0.93 (* end of lemma zenon_L481_ *) % 0.77/0.93 assert (zenon_L482_ : (forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61)))))) -> (ndr1_0) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H78 zenon_H10 zenon_H290 zenon_H291 zenon_H292. % 0.77/0.93 generalize (zenon_H78 (a27)). zenon_intro zenon_H293. % 0.77/0.93 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_Hf | zenon_intro zenon_H294 ]. % 0.77/0.93 exact (zenon_Hf zenon_H10). % 0.77/0.93 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ]. % 0.77/0.93 exact (zenon_H290 zenon_H296). % 0.77/0.93 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 0.77/0.93 exact (zenon_H298 zenon_H291). % 0.77/0.93 exact (zenon_H297 zenon_H292). % 0.77/0.93 (* end of lemma zenon_L482_ *) % 0.77/0.93 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c1_1 (a27)) -> (c0_1 (a27)) -> (~(c2_1 (a27))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H115 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H292 zenon_H291 zenon_H290. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.77/0.93 apply (zenon_L482_); trivial. % 0.77/0.93 apply (zenon_L70_); trivial. % 0.77/0.93 (* end of lemma zenon_L483_ *) % 0.77/0.93 assert (zenon_L484_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (c1_1 (a27)) -> (c0_1 (a27)) -> (~(c2_1 (a27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H119 zenon_H292 zenon_H291 zenon_H290 zenon_H81 zenon_H7c zenon_H71 zenon_H70 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H11 zenon_H177. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.77/0.93 apply (zenon_L321_); trivial. % 0.77/0.93 apply (zenon_L483_); trivial. % 0.77/0.93 (* end of lemma zenon_L484_ *) % 0.77/0.93 assert (zenon_L485_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H92 zenon_H6a zenon_H61 zenon_H5e zenon_H47 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H290 zenon_H291 zenon_H292 zenon_H119. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_L484_); trivial. % 0.77/0.93 apply (zenon_L172_); trivial. % 0.77/0.93 (* end of lemma zenon_L485_ *) % 0.77/0.93 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H299 zenon_H97 zenon_H177 zenon_H81 zenon_H119 zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H47 zenon_H6a. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.93 apply (zenon_L481_); trivial. % 0.77/0.93 apply (zenon_L485_); trivial. % 0.77/0.93 (* end of lemma zenon_L486_ *) % 0.77/0.93 assert (zenon_L487_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H6a zenon_H47 zenon_H15 zenon_H13 zenon_H25d zenon_H25e zenon_H25f zenon_H10 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H199 zenon_H19a zenon_H19b zenon_H1a2. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.93 apply (zenon_L351_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 apply (zenon_L122_); trivial. % 0.77/0.93 apply (zenon_L189_); trivial. % 0.77/0.93 (* end of lemma zenon_L487_ *) % 0.77/0.93 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H290 zenon_H291 zenon_H292 zenon_H119. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_L484_); trivial. % 0.77/0.93 apply (zenon_L189_); trivial. % 0.77/0.93 (* end of lemma zenon_L488_ *) % 0.77/0.93 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c0_1 (a1))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H299 zenon_H97 zenon_H177 zenon_H81 zenon_H119 zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H25f zenon_H25e zenon_H25d zenon_H15 zenon_H47 zenon_H6a. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.93 apply (zenon_L487_); trivial. % 0.77/0.93 apply (zenon_L488_); trivial. % 0.77/0.93 (* end of lemma zenon_L489_ *) % 0.77/0.93 assert (zenon_L490_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c2_1 (a64))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c1_1 (a36))) -> (~(c3_1 (a36))) -> (~(c2_1 (a36))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H275 zenon_H7c zenon_H71 zenon_H70 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H25e zenon_H25d zenon_H25f zenon_H209 zenon_H10 zenon_Hca zenon_Hcc zenon_Hcb. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H6e | zenon_intro zenon_H276 ]. % 0.77/0.93 apply (zenon_L320_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H188 | zenon_intro zenon_Hd3 ]. % 0.77/0.93 apply (zenon_L355_); trivial. % 0.77/0.93 apply (zenon_L195_); trivial. % 0.77/0.93 (* end of lemma zenon_L490_ *) % 0.77/0.93 assert (zenon_L491_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp1))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(c1_1 (a36))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp1)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H92 zenon_H20f zenon_Hcb zenon_Hcc zenon_Hca zenon_H25f zenon_H25d zenon_H25e zenon_H81 zenon_H275 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H1c3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H209 | zenon_intro zenon_H210 ]. % 0.77/0.93 apply (zenon_L490_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H49 | zenon_intro zenon_H1c4 ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 exact (zenon_H1c3 zenon_H1c4). % 0.77/0.93 (* end of lemma zenon_L491_ *) % 0.77/0.93 assert (zenon_L492_ : ((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc1 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_H212 zenon_H211 zenon_H213. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.77/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.77/0.93 apply (zenon_L355_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.77/0.93 apply (zenon_L97_); trivial. % 0.77/0.93 apply (zenon_L211_); trivial. % 0.77/0.93 (* end of lemma zenon_L492_ *) % 0.77/0.93 assert (zenon_L493_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp19)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> False). % 0.77/0.93 do 0 intro. intros zenon_Hc4 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_H10 zenon_H212 zenon_H211 zenon_H213 zenon_Haa zenon_Hc5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.93 apply (zenon_L285_); trivial. % 0.77/0.93 apply (zenon_L492_); trivial. % 0.77/0.93 (* end of lemma zenon_L493_ *) % 0.77/0.93 assert (zenon_L494_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_He3 zenon_H1c9 zenon_H1c7 zenon_Hdc zenon_Hde zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H10 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_Hc4. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L493_); trivial. % 0.77/0.93 apply (zenon_L212_); trivial. % 0.77/0.93 (* end of lemma zenon_L494_ *) % 0.77/0.93 assert (zenon_L495_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((hskp11)\/(hskp6))) -> (~(hskp6)) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H16d zenon_H14f zenon_H90 zenon_H1 zenon_Hc4 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_H10 zenon_H212 zenon_H211 zenon_H213 zenon_Hc5 zenon_Hde zenon_H1c7 zenon_H1c9 zenon_He3. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.93 apply (zenon_L494_); trivial. % 0.77/0.93 apply (zenon_L100_); trivial. % 0.77/0.93 (* end of lemma zenon_L495_ *) % 0.77/0.93 assert (zenon_L496_ : ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp3))) -> (~(hskp7)) -> (~(hskp18)) -> ((hskp7)\/((hskp26)\/(hskp18))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_He3 zenon_H6d zenon_H1c9 zenon_H1c7 zenon_H226 zenon_H5 zenon_H9 zenon_Hb zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H10 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_Hc4. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L493_); trivial. % 0.77/0.93 apply (zenon_L228_); trivial. % 0.77/0.93 (* end of lemma zenon_L496_ *) % 0.77/0.93 assert (zenon_L497_ : ((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(hskp3)) -> False). % 0.77/0.93 do 0 intro. intros zenon_He0 zenon_H1c9 zenon_H25f zenon_H25d zenon_H25e zenon_H16e zenon_H16f zenon_H170 zenon_H275 zenon_H213 zenon_H211 zenon_H212 zenon_H1c7. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H18 | zenon_intro zenon_H1ca ]. % 0.77/0.93 apply (zenon_L362_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H1c8 ]. % 0.77/0.93 apply (zenon_L211_); trivial. % 0.77/0.93 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.93 (* end of lemma zenon_L497_ *) % 0.77/0.93 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H25a zenon_He3 zenon_H1c9 zenon_H1c7 zenon_H275 zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_Hc4. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L493_); trivial. % 0.77/0.93 apply (zenon_L497_); trivial. % 0.77/0.93 (* end of lemma zenon_L498_ *) % 0.77/0.93 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a8))) -> (~(c3_1 (a8))) -> (c0_1 (a8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1dd zenon_Hc4 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H25e zenon_H25d zenon_H25f zenon_H18e zenon_H18f zenon_H190 zenon_H243. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.93 apply (zenon_L294_); trivial. % 0.77/0.93 apply (zenon_L492_); trivial. % 0.77/0.93 (* end of lemma zenon_L499_ *) % 0.77/0.93 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a8))/\((~(c2_1 (a8)))/\(~(c3_1 (a8)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a12))/\((~(c2_1 (a12)))/\(~(c3_1 (a12))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c1_1 X70))))))\/(hskp22))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp17))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c2_1 X2)\/((c3_1 X2)\/(~(c0_1 X2))))))\/(hskp2))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a32))/\((~(c0_1 (a32)))/\(~(c2_1 (a32))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H1cf zenon_H1dc zenon_H243 zenon_He3 zenon_Hde zenon_H2c zenon_H239 zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_Hc4 zenon_H23e zenon_H16d. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L493_); trivial. % 0.77/0.93 apply (zenon_L252_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L493_); trivial. % 0.77/0.93 apply (zenon_L262_); trivial. % 0.77/0.93 apply (zenon_L499_); trivial. % 0.77/0.93 (* end of lemma zenon_L500_ *) % 0.77/0.93 assert (zenon_L501_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c1_1 (a10)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H230 zenon_H33 zenon_H32 zenon_H3b zenon_H211 zenon_H212 zenon_H213 zenon_H30 zenon_H47 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.77/0.93 apply (zenon_L17_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.77/0.93 apply (zenon_L207_); trivial. % 0.77/0.93 apply (zenon_L19_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.93 apply (zenon_L143_); trivial. % 0.77/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.93 (* end of lemma zenon_L501_ *) % 0.77/0.93 assert (zenon_L502_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H230 zenon_H56 zenon_H4c zenon_H4b zenon_H49 zenon_H211 zenon_H212 zenon_H213 zenon_H47 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.93 apply (zenon_L208_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.93 apply (zenon_L143_); trivial. % 0.77/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.93 (* end of lemma zenon_L502_ *) % 0.77/0.93 assert (zenon_L503_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(c1_1 (a36))) -> (~(c2_1 (a36))) -> (~(c3_1 (a36))) -> (~(hskp18)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(c3_1 X41)))))\/((hskp30)\/(hskp18))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H65 zenon_H66 zenon_H61 zenon_H5e zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Ha8 zenon_H230 zenon_Hca zenon_Hcb zenon_Hcc zenon_H9 zenon_H207. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.93 apply (zenon_L194_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.93 apply (zenon_L501_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.93 apply (zenon_L502_); trivial. % 0.77/0.93 exact (zenon_H5e zenon_H5f). % 0.77/0.93 (* end of lemma zenon_L503_ *) % 0.77/0.93 assert (zenon_L504_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H25e zenon_H25d zenon_H25f zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.93 apply (zenon_L235_); trivial. % 0.77/0.93 apply (zenon_L492_); trivial. % 0.77/0.93 (* end of lemma zenon_L504_ *) % 0.77/0.93 assert (zenon_L505_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (c0_1 (a6)) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (~(c3_1 (a6))) -> (c2_1 (a6)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H3a zenon_H10 zenon_H19a zenon_H15e zenon_H199 zenon_H19b. % 0.77/0.93 generalize (zenon_H3a (a6)). zenon_intro zenon_H29c. % 0.77/0.93 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_Hf | zenon_intro zenon_H29d ]. % 0.77/0.93 exact (zenon_Hf zenon_H10). % 0.77/0.93 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H29e ]. % 0.77/0.93 exact (zenon_H1a1 zenon_H19a). % 0.77/0.93 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29f | zenon_intro zenon_H1a0 ]. % 0.77/0.93 generalize (zenon_H15e (a6)). zenon_intro zenon_H2a0. % 0.77/0.93 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_Hf | zenon_intro zenon_H2a1 ]. % 0.77/0.93 exact (zenon_Hf zenon_H10). % 0.77/0.93 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2a2 ]. % 0.77/0.93 exact (zenon_H29f zenon_H2a3). % 0.77/0.93 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ]. % 0.77/0.93 exact (zenon_H199 zenon_H19f). % 0.77/0.93 exact (zenon_H1a0 zenon_H19b). % 0.77/0.93 exact (zenon_H1a0 zenon_H19b). % 0.77/0.93 (* end of lemma zenon_L505_ *) % 0.77/0.93 assert (zenon_L506_ : ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a6)) -> (~(c3_1 (a6))) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (c0_1 (a6)) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48)))))) -> (c0_1 (a2)) -> (ndr1_0) -> (c1_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H47 zenon_H19b zenon_H199 zenon_H15e zenon_H19a zenon_H213 zenon_H212 zenon_Hac zenon_H211 zenon_H10 zenon_H3b zenon_H32 zenon_H33. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.77/0.93 apply (zenon_L505_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.77/0.93 apply (zenon_L207_); trivial. % 0.77/0.93 apply (zenon_L19_); trivial. % 0.77/0.93 (* end of lemma zenon_L506_ *) % 0.77/0.93 assert (zenon_L507_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp22)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a6)) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H65 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Ha8 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H47 zenon_H19b zenon_H199 zenon_H19a zenon_H230 zenon_H212 zenon_H211 zenon_H213. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.77/0.93 apply (zenon_L355_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.93 apply (zenon_L506_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.93 apply (zenon_L143_); trivial. % 0.77/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.93 apply (zenon_L211_); trivial. % 0.77/0.93 (* end of lemma zenon_L507_ *) % 0.77/0.93 assert (zenon_L508_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c1_1 (a36)))/\((~(c2_1 (a36)))/\(~(c3_1 (a36))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/(hskp4)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c0_1 W)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp22)\/(hskp19))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H25a zenon_He3 zenon_H29 zenon_H27 zenon_H275 zenon_Hc5 zenon_H213 zenon_H211 zenon_H212 zenon_H25f zenon_H25d zenon_H25e zenon_H18b zenon_Hc4. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.93 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.93 apply (zenon_L493_); trivial. % 0.77/0.93 apply (zenon_L363_); trivial. % 0.77/0.93 (* end of lemma zenon_L508_ *) % 0.77/0.93 assert (zenon_L509_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> (c0_1 (a6)) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27)))))) -> (~(c3_1 (a6))) -> (c2_1 (a6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H230 zenon_H56 zenon_H4c zenon_H4b zenon_H49 zenon_H211 zenon_H212 zenon_H213 zenon_H19a zenon_H15e zenon_H199 zenon_H19b zenon_H47 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.77/0.93 apply (zenon_L505_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.77/0.93 apply (zenon_L207_); trivial. % 0.77/0.93 apply (zenon_L23_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.93 apply (zenon_L143_); trivial. % 0.77/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.93 (* end of lemma zenon_L509_ *) % 0.77/0.93 assert (zenon_L510_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c1_1 (a27)) -> (c0_1 (a27)) -> (~(c2_1 (a27))) -> (ndr1_0) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (c2_1 (a10)) -> (c3_1 (a10)) -> (c1_1 (a10)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H292 zenon_H291 zenon_H290 zenon_H10 zenon_H30 zenon_H32 zenon_H33 zenon_H3b. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.77/0.93 apply (zenon_L482_); trivial. % 0.77/0.93 apply (zenon_L18_); trivial. % 0.77/0.93 (* end of lemma zenon_L510_ *) % 0.77/0.93 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp5)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H65 zenon_H61 zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H5e. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.93 apply (zenon_L510_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 exact (zenon_H5e zenon_H5f). % 0.77/0.93 (* end of lemma zenon_L511_ *) % 0.77/0.93 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H69 zenon_H6a zenon_H61 zenon_H5e zenon_H1fc zenon_H1fd zenon_H1fe zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.93 apply (zenon_L214_); trivial. % 0.77/0.93 apply (zenon_L511_); trivial. % 0.77/0.93 (* end of lemma zenon_L512_ *) % 0.77/0.93 assert (zenon_L513_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c1_1 (a27)) -> (c0_1 (a27)) -> (~(c2_1 (a27))) -> (ndr1_0) -> (c0_1 (a33)) -> (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49)))))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H292 zenon_H291 zenon_H290 zenon_H10 zenon_H4b zenon_H179 zenon_H4c zenon_H56. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.77/0.93 apply (zenon_L168_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.77/0.93 apply (zenon_L482_); trivial. % 0.77/0.93 apply (zenon_L106_); trivial. % 0.77/0.93 (* end of lemma zenon_L513_ *) % 0.77/0.93 assert (zenon_L514_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (~(c2_1 (a64))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (ndr1_0) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp22)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H230 zenon_H213 zenon_H212 zenon_H211 zenon_H70 zenon_H83 zenon_H7c zenon_H71 zenon_H56 zenon_H4c zenon_H4b zenon_H10 zenon_H290 zenon_H291 zenon_H292 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Ha8. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.93 apply (zenon_L322_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.93 apply (zenon_L513_); trivial. % 0.77/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.93 (* end of lemma zenon_L514_ *) % 0.77/0.93 assert (zenon_L515_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (~(c2_1 (a64))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c1_1 (a27)) -> (c0_1 (a27)) -> (~(c2_1 (a27))) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.77/0.93 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H81 zenon_H213 zenon_H212 zenon_H211 zenon_H71 zenon_H7c zenon_H70 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H292 zenon_H291 zenon_H290 zenon_Ha8 zenon_H230 zenon_H11 zenon_H5 zenon_Hf4. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.93 apply (zenon_L62_); trivial. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.77/0.93 apply (zenon_L514_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.77/0.93 apply (zenon_L58_); trivial. % 0.77/0.93 exact (zenon_Hf0 zenon_Hf1). % 0.77/0.93 (* end of lemma zenon_L515_ *) % 0.77/0.93 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp22)) -> False). % 0.77/0.93 do 0 intro. intros zenon_H60 zenon_H230 zenon_H9b zenon_Ha3 zenon_H9a zenon_H290 zenon_H291 zenon_H292 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Ha8. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.93 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.93 apply (zenon_L44_); trivial. % 0.77/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.93 apply (zenon_L513_); trivial. % 0.77/0.93 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.93 (* end of lemma zenon_L516_ *) % 0.77/0.94 assert (zenon_L517_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp22)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a34)) -> (~(c2_1 (a34))) -> (~(c1_1 (a34))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H66 zenon_H230 zenon_Ha8 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H9b zenon_Ha3 zenon_H9a zenon_H11 zenon_H5 zenon_Hf4. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L62_); trivial. % 0.77/0.94 apply (zenon_L516_); trivial. % 0.77/0.94 (* end of lemma zenon_L517_ *) % 0.77/0.94 assert (zenon_L518_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp5)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H25e zenon_H25d zenon_H25f zenon_H66 zenon_H230 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H5 zenon_Hf4 zenon_H5e zenon_H61 zenon_H6a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L517_); trivial. % 0.77/0.94 apply (zenon_L511_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 (* end of lemma zenon_L518_ *) % 0.77/0.94 assert (zenon_L519_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a27)) -> (c0_1 (a27)) -> (~(c2_1 (a27))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (ndr1_0) -> (~(c0_1 (a9))) -> (~(c2_1 (a9))) -> (c1_1 (a9)) -> (~(hskp27)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H119 zenon_H81 zenon_H292 zenon_H291 zenon_H290 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H10 zenon_H16e zenon_H16f zenon_H170 zenon_H11 zenon_H177. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 apply (zenon_L483_); trivial. % 0.77/0.94 (* end of lemma zenon_L519_ *) % 0.77/0.94 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H299 zenon_H6a zenon_H61 zenon_H5e zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L519_); trivial. % 0.77/0.94 apply (zenon_L511_); trivial. % 0.77/0.94 (* end of lemma zenon_L520_ *) % 0.77/0.94 assert (zenon_L521_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp15)\/(hskp4))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H25a zenon_H2a4 zenon_H6a zenon_H61 zenon_H5e zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119 zenon_H25f zenon_H25d zenon_H25e zenon_H27 zenon_H28c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_L520_); trivial. % 0.77/0.94 (* end of lemma zenon_L521_ *) % 0.77/0.94 assert (zenon_L522_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H65 zenon_H1a2 zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H199 zenon_H19a zenon_H19b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.94 apply (zenon_L510_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_L122_); trivial. % 0.77/0.94 (* end of lemma zenon_L522_ *) % 0.77/0.94 assert (zenon_L523_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H69 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L214_); trivial. % 0.77/0.94 apply (zenon_L522_); trivial. % 0.77/0.94 (* end of lemma zenon_L523_ *) % 0.77/0.94 assert (zenon_L524_ : ((ndr1_0)/\((c3_1 (a34))/\((~(c1_1 (a34)))/\(~(c2_1 (a34)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a2)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H11a zenon_Hc4 zenon_H18b zenon_H213 zenon_H211 zenon_H212 zenon_H25e zenon_H25d zenon_H25f zenon_H66 zenon_H230 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H290 zenon_H291 zenon_H292 zenon_H81 zenon_H5 zenon_Hf4 zenon_H199 zenon_H19a zenon_H19b zenon_H1a2 zenon_H6a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L517_); trivial. % 0.77/0.94 apply (zenon_L522_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 (* end of lemma zenon_L524_ *) % 0.77/0.94 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (c1_1 (a9)) -> (~(c2_1 (a9))) -> (~(c0_1 (a9))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H299 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H177 zenon_H170 zenon_H16f zenon_H16e zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L519_); trivial. % 0.77/0.94 apply (zenon_L522_); trivial. % 0.77/0.94 (* end of lemma zenon_L525_ *) % 0.77/0.94 assert (zenon_L526_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a27))/\((c1_1 (a27))/\(~(c2_1 (a27))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> (~(c0_1 (a1))) -> (c1_1 (a1)) -> (c2_1 (a1)) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((hskp15)\/(hskp4))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H25a zenon_H2a4 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H177 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H119 zenon_H25f zenon_H25d zenon_H25e zenon_H27 zenon_H28c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_L525_); trivial. % 0.77/0.94 (* end of lemma zenon_L526_ *) % 0.77/0.94 assert (zenon_L527_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp22)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(hskp5)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H65 zenon_H61 zenon_Ha8 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H230 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H5e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.94 apply (zenon_L501_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 exact (zenon_H5e zenon_H5f). % 0.77/0.94 (* end of lemma zenon_L527_ *) % 0.77/0.94 assert (zenon_L528_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H69 zenon_H6a zenon_H61 zenon_H5e zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Ha8 zenon_H230 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L214_); trivial. % 0.77/0.94 apply (zenon_L527_); trivial. % 0.77/0.94 (* end of lemma zenon_L528_ *) % 0.77/0.94 assert (zenon_L529_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (~(c2_1 (a64))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15)))))) -> (c3_1 (a64)) -> (c1_1 (a64)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H230 zenon_H213 zenon_H212 zenon_H211 zenon_H70 zenon_H83 zenon_H7c zenon_H71 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H10 zenon_Ha8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.94 apply (zenon_L322_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.94 apply (zenon_L143_); trivial. % 0.77/0.94 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.94 (* end of lemma zenon_L529_ *) % 0.77/0.94 assert (zenon_L530_ : ((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp22)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (~(c2_1 (a64))) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp10)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H60 zenon_Hf2 zenon_Ha8 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H71 zenon_H7c zenon_H70 zenon_H211 zenon_H212 zenon_H213 zenon_H230 zenon_Hf0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H83 | zenon_intro zenon_Hf3 ]. % 0.77/0.94 apply (zenon_L529_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hed | zenon_intro zenon_Hf1 ]. % 0.77/0.94 apply (zenon_L58_); trivial. % 0.77/0.94 exact (zenon_Hf0 zenon_Hf1). % 0.77/0.94 (* end of lemma zenon_L530_ *) % 0.77/0.94 assert (zenon_L531_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c1_1 (a64)) -> (c3_1 (a64)) -> (~(c2_1 (a64))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp27)) -> (~(hskp7)) -> ((hskp30)\/((hskp27)\/(hskp7))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H66 zenon_Hf2 zenon_Hf0 zenon_H81 zenon_H213 zenon_H212 zenon_H211 zenon_H71 zenon_H7c zenon_H70 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Ha8 zenon_H230 zenon_H11 zenon_H5 zenon_Hf4. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L62_); trivial. % 0.77/0.94 apply (zenon_L530_); trivial. % 0.77/0.94 (* end of lemma zenon_L531_ *) % 0.77/0.94 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H92 zenon_H6a zenon_H61 zenon_H5e zenon_H47 zenon_Hf4 zenon_H5 zenon_H230 zenon_Ha8 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H211 zenon_H212 zenon_H213 zenon_H81 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L531_); trivial. % 0.77/0.94 apply (zenon_L527_); trivial. % 0.77/0.94 (* end of lemma zenon_L532_ *) % 0.77/0.94 assert (zenon_L533_ : ((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (~(hskp22)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c3_1 (a6))) -> (c0_1 (a6)) -> (c2_1 (a6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H65 zenon_H1a2 zenon_Ha8 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H47 zenon_H213 zenon_H212 zenon_H211 zenon_H230 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H199 zenon_H19a zenon_H19b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H10. zenon_intro zenon_H67. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H3b. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H32. zenon_intro zenon_H33. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.94 apply (zenon_L501_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_L122_); trivial. % 0.77/0.94 (* end of lemma zenon_L533_ *) % 0.77/0.94 assert (zenon_L534_ : ((ndr1_0)/\((c2_1 (a92))/\((~(c0_1 (a92)))/\(~(c3_1 (a92)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> (~(hskp22)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> ((forall X76 : zenon_U, ((ndr1_0)->((c3_1 X76)\/((~(c1_1 X76))\/(~(c2_1 X76))))))\/((hskp27)\/(hskp25))) -> (~(hskp25)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(hskp3))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H69 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H47 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_Ha8 zenon_H230 zenon_H15 zenon_H13 zenon_H212 zenon_H211 zenon_H213 zenon_H1c7 zenon_H1c9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L214_); trivial. % 0.77/0.94 apply (zenon_L533_); trivial. % 0.77/0.94 (* end of lemma zenon_L534_ *) % 0.77/0.94 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a64))/\((c3_1 (a64))/\(~(c2_1 (a64)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> (c2_1 (a6)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp30)\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a5)) -> (c2_1 (a5)) -> (~(c1_1 (a5))) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> (c0_1 (a2)) -> (~(c2_1 (a2))) -> (c3_1 (a2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c2_1 X15)\/(~(c3_1 X15))))))\/((forall X23 : zenon_U, ((ndr1_0)->((~(c0_1 X23))\/((~(c2_1 X23))\/(~(c3_1 X23))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a33))/\((c2_1 (a33))/\(c3_1 (a33)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H92 zenon_H6a zenon_H1a2 zenon_H19b zenon_H19a zenon_H199 zenon_H47 zenon_Hf4 zenon_H5 zenon_H230 zenon_Ha8 zenon_H1d4 zenon_H1d3 zenon_H1d2 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H211 zenon_H212 zenon_H213 zenon_H81 zenon_Hf0 zenon_Hf2 zenon_H66. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L531_); trivial. % 0.77/0.94 apply (zenon_L533_); trivial. % 0.77/0.94 (* end of lemma zenon_L535_ *) % 0.77/0.94 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp22)) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c3_1 (a2)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H115 zenon_H18b zenon_H25e zenon_H25d zenon_H25f zenon_Ha8 zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H81 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H19a zenon_H199 zenon_H19b zenon_H47 zenon_H230 zenon_H212 zenon_H211 zenon_H213. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.77/0.94 apply (zenon_L355_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H49 | zenon_intro zenon_H82 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H78 | zenon_intro zenon_H40 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3a | zenon_intro zenon_H48 ]. % 0.77/0.94 apply (zenon_L505_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H40 | zenon_intro zenon_H44 ]. % 0.77/0.94 apply (zenon_L70_); trivial. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_L207_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.94 apply (zenon_L143_); trivial. % 0.77/0.94 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.94 apply (zenon_L211_); trivial. % 0.77/0.94 (* end of lemma zenon_L536_ *) % 0.77/0.94 assert (zenon_L537_ : ((ndr1_0)/\((c1_1 (a9))/\((~(c0_1 (a9)))/\(~(c2_1 (a9)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a43))/\((~(c1_1 (a43)))/\(~(c3_1 (a43))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a15))/\((c1_1 (a15))/\(c3_1 (a15)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((~(c1_1 X17))\/(~(c2_1 X17))))))\/((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((c3_1 X27)\/(~(c2_1 X27))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2)) -> (~(c2_1 (a2))) -> (c0_1 (a2)) -> (c0_1 (a6)) -> (~(c3_1 (a6))) -> (c2_1 (a6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c1_1 X55))\/((~(c2_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a3)) -> (c0_1 (a3)) -> (~(c1_1 (a3))) -> (~(c1_1 (a5))) -> (c2_1 (a5)) -> (c3_1 (a5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c2_1 (a1)) -> (c1_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp28)\/(hskp27))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H25a zenon_Hc4 zenon_H119 zenon_H18b zenon_H81 zenon_H213 zenon_H212 zenon_H211 zenon_H19a zenon_H199 zenon_H19b zenon_H47 zenon_H1fe zenon_H1fd zenon_H1fc zenon_H1d2 zenon_H1d3 zenon_H1d4 zenon_H230 zenon_H25e zenon_H25d zenon_H25f zenon_H177 zenon_H1a2 zenon_H6a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 apply (zenon_L536_); trivial. % 0.77/0.94 apply (zenon_L533_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 (* end of lemma zenon_L537_ *) % 0.77/0.94 assert (zenon_L538_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c3_1 X48))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((~(c2_1 X49))\/(~(c3_1 X49))))))\/(hskp22))) -> (c3_1 (a4)) -> (~(c0_1 (a4))) -> (forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c2_1 X35))\/(~(c3_1 X35)))))) -> (~(c1_1 (a4))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (c0_1 (a33)) -> (ndr1_0) -> (~(c2_1 (a27))) -> (c0_1 (a27)) -> (c1_1 (a27)) -> (~(c1_1 (a3))) -> (c0_1 (a3)) -> (c2_1 (a3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((forall X61 : zenon_U, ((ndr1_0)->((c2_1 X61)\/((~(c0_1 X61))\/(~(c1_1 X61))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp22)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H230 zenon_H1e2 zenon_H1e0 zenon_H30 zenon_H1e1 zenon_H56 zenon_H4c zenon_H4b zenon_H10 zenon_H290 zenon_H291 zenon_H292 zenon_H1fc zenon_H1fd zenon_H1fe zenon_H81 zenon_Ha8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hac | zenon_intro zenon_H231 ]. % 0.77/0.94 apply (zenon_L295_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H179 | zenon_intro zenon_Ha9 ]. % 0.77/0.94 apply (zenon_L513_); trivial. % 0.77/0.94 exact (zenon_Ha8 zenon_Ha9). % 0.77/0.94 (* end of lemma zenon_L538_ *) % 0.77/0.94 apply NNPP. intro zenon_G. % 0.77/0.94 apply zenon_G. zenon_intro zenon_H2a5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2ab. zenon_intro zenon_H2aa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H2ad. zenon_intro zenon_H2ac. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2af. zenon_intro zenon_H2ae. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H252. zenon_intro zenon_H2b0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H253. zenon_intro zenon_H2b3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H254. zenon_intro zenon_H2b4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1dc. zenon_intro zenon_H2b5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1db. zenon_intro zenon_H2b6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H16c. zenon_intro zenon_H2b7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H28b. zenon_intro zenon_H2bc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2a4. zenon_intro zenon_H2bd. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H143. zenon_intro zenon_H2be. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H16d. zenon_intro zenon_H2bf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H11d. zenon_intro zenon_H2c0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_He3. zenon_intro zenon_H2c1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H1a4. zenon_intro zenon_H2c2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_Hc4. zenon_intro zenon_H2c5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H1ce. zenon_intro zenon_H2c8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H97. zenon_intro zenon_H2c9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H6d. zenon_intro zenon_H2ca. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H6a. zenon_intro zenon_H2cb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H119. zenon_intro zenon_H2cc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H116. zenon_intro zenon_H2cd. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H66. zenon_intro zenon_H2ce. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H279. zenon_intro zenon_H2cf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H20f. zenon_intro zenon_H2d4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H239. zenon_intro zenon_H2d5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H1c9. zenon_intro zenon_H2d6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H29. zenon_intro zenon_H2d7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H13e. zenon_intro zenon_H2d8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_Hc6. zenon_intro zenon_H2d9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H1eb. zenon_intro zenon_H2da. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H93. zenon_intro zenon_H2dd. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H275. zenon_intro zenon_H2de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H177. zenon_intro zenon_H2df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H23e. zenon_intro zenon_H2e0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hf2. zenon_intro zenon_H2e1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H14f. zenon_intro zenon_H2e2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H162. zenon_intro zenon_H2e5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H226. zenon_intro zenon_H2e6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H27d. zenon_intro zenon_H2e7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H18b. zenon_intro zenon_H2e8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H28c. zenon_intro zenon_H2e9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H1a2. zenon_intro zenon_H2ea. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H61. zenon_intro zenon_H2eb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H24d. zenon_intro zenon_H2ec. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_Hde. zenon_intro zenon_H2ed. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H207. zenon_intro zenon_H2ee. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H2f2. zenon_intro zenon_H2f1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H230. zenon_intro zenon_H2f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H163. zenon_intro zenon_H2f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hbf. zenon_intro zenon_H2f9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hfe. zenon_intro zenon_H2fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H20d. zenon_intro zenon_H2fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H81. zenon_intro zenon_H2fe. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H12d. zenon_intro zenon_H2ff. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H184. zenon_intro zenon_H300. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H302. zenon_intro zenon_H301. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1c5. zenon_intro zenon_H303. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H243. zenon_intro zenon_H304. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H197. zenon_intro zenon_H305. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H1b1. zenon_intro zenon_H306. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_Hc5. zenon_intro zenon_H307. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H309. zenon_intro zenon_H308. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H15. zenon_intro zenon_H30a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H47. zenon_intro zenon_H30b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_Hfa. zenon_intro zenon_H30e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H310. zenon_intro zenon_H30f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H7. zenon_intro zenon_H311. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H313. zenon_intro zenon_H312. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H2e. zenon_intro zenon_H314. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_Hf4. zenon_intro zenon_H315. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H186. zenon_intro zenon_H316. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H317. zenon_intro zenon_Hb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H13c | zenon_intro zenon_H318 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H319 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2c | zenon_intro zenon_H31a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H251 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H3 | zenon_intro zenon_H1a5 ]. % 0.77/0.94 apply (zenon_L4_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_H10. zenon_intro zenon_H1a6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H86. zenon_intro zenon_H84. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.94 apply (zenon_L56_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_L75_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_L90_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H10. zenon_intro zenon_H1aa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H144. zenon_intro zenon_H1ab. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H145. zenon_intro zenon_H146. % 0.77/0.94 apply (zenon_L92_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_L102_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L110_); trivial. % 0.77/0.94 apply (zenon_L27_); trivial. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_L119_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_L121_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L125_); trivial. % 0.77/0.94 apply (zenon_L128_); trivial. % 0.77/0.94 apply (zenon_L129_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L125_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L141_); trivial. % 0.77/0.94 apply (zenon_L99_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L141_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L110_); trivial. % 0.77/0.94 apply (zenon_L124_); trivial. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_L119_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_L144_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H10. zenon_intro zenon_H255. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H1e2. zenon_intro zenon_H256. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L148_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_L160_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L163_); trivial. % 0.77/0.94 apply (zenon_L166_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_L167_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H10. zenon_intro zenon_H31b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1fd. zenon_intro zenon_H31c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L174_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L12_); trivial. % 0.77/0.94 apply (zenon_L172_); trivial. % 0.77/0.94 apply (zenon_L177_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_L178_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L181_); trivial. % 0.77/0.94 apply (zenon_L172_); trivial. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_L185_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L191_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L12_); trivial. % 0.77/0.94 apply (zenon_L189_); trivial. % 0.77/0.94 apply (zenon_L192_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_L193_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L181_); trivial. % 0.77/0.94 apply (zenon_L189_); trivial. % 0.77/0.94 apply (zenon_L202_); trivial. % 0.77/0.94 apply (zenon_L205_); trivial. % 0.77/0.94 apply (zenon_L206_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_L167_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H10. zenon_intro zenon_H31d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H211. zenon_intro zenon_H31e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H213. zenon_intro zenon_H212. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2c | zenon_intro zenon_H31a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H251 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L148_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L213_); trivial. % 0.77/0.94 apply (zenon_L119_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L216_); trivial. % 0.77/0.94 apply (zenon_L128_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_L217_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L216_); trivial. % 0.77/0.94 apply (zenon_L99_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_L217_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L219_); trivial. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_L118_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L220_); trivial. % 0.77/0.94 apply (zenon_L124_); trivial. % 0.77/0.94 apply (zenon_L212_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_L119_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L229_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L234_); trivial. % 0.77/0.94 apply (zenon_L212_); trivial. % 0.77/0.94 apply (zenon_L129_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L238_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L239_); trivial. % 0.77/0.94 apply (zenon_L224_); trivial. % 0.77/0.94 apply (zenon_L212_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_L241_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L245_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L245_); trivial. % 0.77/0.94 apply (zenon_L240_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L250_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L229_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L234_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L129_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L238_); trivial. % 0.77/0.94 apply (zenon_L259_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L245_); trivial. % 0.77/0.94 apply (zenon_L263_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_L267_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H10. zenon_intro zenon_Hc2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hb3. zenon_intro zenon_Hc3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L268_); trivial. % 0.77/0.94 apply (zenon_L27_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L269_); trivial. % 0.77/0.94 apply (zenon_L237_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L259_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L272_); trivial. % 0.77/0.94 apply (zenon_L241_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L238_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L275_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_L276_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L277_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L278_); trivial. % 0.77/0.94 apply (zenon_L129_); trivial. % 0.77/0.94 apply (zenon_L241_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L238_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L273_); trivial. % 0.77/0.94 apply (zenon_L269_); trivial. % 0.77/0.94 apply (zenon_L263_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L280_); trivial. % 0.77/0.94 apply (zenon_L237_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L284_); trivial. % 0.77/0.94 apply (zenon_L258_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H10. zenon_intro zenon_H255. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H1e2. zenon_intro zenon_H256. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L156_); trivial. % 0.77/0.94 apply (zenon_L287_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L163_); trivial. % 0.77/0.94 apply (zenon_L289_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L152_); trivial. % 0.77/0.94 apply (zenon_L290_); trivial. % 0.77/0.94 apply (zenon_L250_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L299_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L307_); trivial. % 0.77/0.94 apply (zenon_L257_); trivial. % 0.77/0.94 apply (zenon_L308_); trivial. % 0.77/0.94 apply (zenon_L89_); trivial. % 0.77/0.94 apply (zenon_L309_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L299_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L310_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L283_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L310_); trivial. % 0.77/0.94 apply (zenon_L262_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_L89_); trivial. % 0.77/0.94 apply (zenon_L309_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L162_); trivial. % 0.77/0.94 apply (zenon_L290_); trivial. % 0.77/0.94 apply (zenon_L277_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L313_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L317_); trivial. % 0.77/0.94 apply (zenon_L257_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L318_); trivial. % 0.77/0.94 apply (zenon_L257_); trivial. % 0.77/0.94 apply (zenon_L312_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_L313_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L319_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L283_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L319_); trivial. % 0.77/0.94 apply (zenon_L262_); trivial. % 0.77/0.94 apply (zenon_L311_); trivial. % 0.77/0.94 apply (zenon_L312_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H10. zenon_intro zenon_H31b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1fd. zenon_intro zenon_H31c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H251 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L174_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H10. zenon_intro zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H16. zenon_intro zenon_H6c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H17. zenon_intro zenon_H19. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L214_); trivial. % 0.77/0.94 apply (zenon_L172_); trivial. % 0.77/0.94 apply (zenon_L325_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L327_); trivial. % 0.77/0.94 apply (zenon_L172_); trivial. % 0.77/0.94 apply (zenon_L212_); trivial. % 0.77/0.94 apply (zenon_L185_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L191_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_L328_); trivial. % 0.77/0.94 apply (zenon_L329_); trivial. % 0.77/0.94 apply (zenon_L130_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L330_); trivial. % 0.77/0.94 apply (zenon_L212_); trivial. % 0.77/0.94 apply (zenon_L206_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L174_); trivial. % 0.77/0.94 apply (zenon_L339_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L342_); trivial. % 0.77/0.94 apply (zenon_L185_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L191_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L334_); trivial. % 0.77/0.94 apply (zenon_L193_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L342_); trivial. % 0.77/0.94 apply (zenon_L206_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L350_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H10. zenon_intro zenon_H31f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H25d. zenon_intro zenon_H320. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H319 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2c | zenon_intro zenon_H31a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H251 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L354_); trivial. % 0.77/0.94 apply (zenon_L145_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L354_); trivial. % 0.77/0.94 apply (zenon_L85_); trivial. % 0.77/0.94 apply (zenon_L359_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L354_); trivial. % 0.77/0.94 apply (zenon_L364_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L367_); trivial. % 0.77/0.94 apply (zenon_L382_); trivial. % 0.77/0.94 apply (zenon_L383_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L367_); trivial. % 0.77/0.94 apply (zenon_L390_); trivial. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_L392_); trivial. % 0.77/0.94 apply (zenon_L406_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L367_); trivial. % 0.77/0.94 apply (zenon_L364_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H27b | zenon_intro zenon_H288 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L407_); trivial. % 0.77/0.94 apply (zenon_L412_); trivial. % 0.77/0.94 apply (zenon_L416_); trivial. % 0.77/0.94 apply (zenon_L418_); trivial. % 0.77/0.94 apply (zenon_L420_); trivial. % 0.77/0.94 apply (zenon_L421_); trivial. % 0.77/0.94 apply (zenon_L428_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L431_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L431_); trivial. % 0.77/0.94 apply (zenon_L262_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_L294_); trivial. % 0.77/0.94 apply (zenon_L430_); trivial. % 0.77/0.94 apply (zenon_L416_); trivial. % 0.77/0.94 apply (zenon_L434_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L436_); trivial. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_L442_); trivial. % 0.77/0.94 apply (zenon_L445_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H27b | zenon_intro zenon_H288 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L446_); trivial. % 0.77/0.94 apply (zenon_L412_); trivial. % 0.77/0.94 apply (zenon_L416_); trivial. % 0.77/0.94 apply (zenon_L418_); trivial. % 0.77/0.94 apply (zenon_L420_); trivial. % 0.77/0.94 apply (zenon_L428_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L252_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L448_); trivial. % 0.77/0.94 apply (zenon_L262_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H10. zenon_intro zenon_H1de. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H153. zenon_intro zenon_H1df. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1ad. zenon_intro zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_L294_); trivial. % 0.77/0.94 apply (zenon_L447_); trivial. % 0.77/0.94 apply (zenon_L416_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_L445_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H10. zenon_intro zenon_H255. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H1e2. zenon_intro zenon_H256. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L152_); trivial. % 0.77/0.94 apply (zenon_L364_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L158_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L15_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.94 apply (zenon_L449_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.94 apply (zenon_L24_); trivial. % 0.77/0.94 exact (zenon_H5e zenon_H5f). % 0.77/0.94 apply (zenon_L410_); trivial. % 0.77/0.94 apply (zenon_L27_); trivial. % 0.77/0.94 apply (zenon_L453_); trivial. % 0.77/0.94 apply (zenon_L425_); trivial. % 0.77/0.94 apply (zenon_L364_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L162_); trivial. % 0.77/0.94 apply (zenon_L364_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L164_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H115 ]. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H10. zenon_intro zenon_H117. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H109. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10a. zenon_intro zenon_H10b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hfc | zenon_intro zenon_H112 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L15_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.94 apply (zenon_L449_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L24_); trivial. % 0.77/0.94 apply (zenon_L122_); trivial. % 0.77/0.94 apply (zenon_L410_); trivial. % 0.77/0.94 apply (zenon_L124_); trivial. % 0.77/0.94 apply (zenon_L456_); trivial. % 0.77/0.94 apply (zenon_L363_); trivial. % 0.77/0.94 apply (zenon_L364_); trivial. % 0.77/0.94 apply (zenon_L142_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_L457_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L459_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L462_); trivial. % 0.77/0.94 apply (zenon_L440_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_L467_); trivial. % 0.77/0.94 apply (zenon_L442_); trivial. % 0.77/0.94 apply (zenon_L472_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_L457_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_H10. zenon_intro zenon_H1d0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H190. zenon_intro zenon_H1d1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H18e. zenon_intro zenon_H18f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f6 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L475_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H10. zenon_intro zenon_H1f7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ee. zenon_intro zenon_H1f8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1ed. zenon_intro zenon_H1ef. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H1dd ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L462_); trivial. % 0.77/0.94 apply (zenon_L478_); trivial. % 0.77/0.94 apply (zenon_L433_); trivial. % 0.77/0.94 apply (zenon_L467_); trivial. % 0.77/0.94 apply (zenon_L479_); trivial. % 0.77/0.94 apply (zenon_L472_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H10. zenon_intro zenon_H31b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1fd. zenon_intro zenon_H31c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_L486_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_L489_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L481_); trivial. % 0.77/0.94 apply (zenon_L332_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L481_); trivial. % 0.77/0.94 apply (zenon_L491_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L487_); trivial. % 0.77/0.94 apply (zenon_L332_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_L487_); trivial. % 0.77/0.94 apply (zenon_L491_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H10. zenon_intro zenon_H31d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H211. zenon_intro zenon_H31e. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H213. zenon_intro zenon_H212. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2c | zenon_intro zenon_H31a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H251 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H1 | zenon_intro zenon_H169 ]. % 0.77/0.94 apply (zenon_L495_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H10. zenon_intro zenon_H16a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H123. zenon_intro zenon_H16b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H124. zenon_intro zenon_H122. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H12b | zenon_intro zenon_H140 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L494_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L496_); trivial. % 0.77/0.94 apply (zenon_L337_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H10. zenon_intro zenon_H141. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H135. zenon_intro zenon_H142. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H133. zenon_intro zenon_H134. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_L496_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H10. zenon_intro zenon_H11b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H9b. zenon_intro zenon_H11c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H9a. zenon_intro zenon_Ha3. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.77/0.94 apply (zenon_L355_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L357_); trivial. % 0.77/0.94 apply (zenon_L211_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L131_); trivial. % 0.77/0.94 apply (zenon_L498_); trivial. % 0.77/0.94 apply (zenon_L500_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L494_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L493_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L63_); trivial. % 0.77/0.94 apply (zenon_L503_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L504_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L498_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hdc | zenon_intro zenon_H166 ]. % 0.77/0.94 apply (zenon_L494_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H10. zenon_intro zenon_H167. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_He6. zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_He4. zenon_intro zenon_He5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L63_); trivial. % 0.77/0.94 apply (zenon_L507_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L498_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H10. zenon_intro zenon_H255. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H1e2. zenon_intro zenon_H256. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H90 | zenon_intro zenon_H1cf ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_L161_); trivial. % 0.77/0.94 apply (zenon_L508_); trivial. % 0.77/0.94 apply (zenon_L500_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L493_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L194_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.94 apply (zenon_L460_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.94 apply (zenon_L502_); trivial. % 0.77/0.94 exact (zenon_H5e zenon_H5f). % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L504_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_L493_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H10. zenon_intro zenon_He1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hca. zenon_intro zenon_He2. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L194_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H188 | zenon_intro zenon_H18c ]. % 0.77/0.94 apply (zenon_L355_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H15e | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.94 apply (zenon_L460_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L509_); trivial. % 0.77/0.94 apply (zenon_L122_); trivial. % 0.77/0.94 apply (zenon_L211_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L504_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H10. zenon_intro zenon_H31b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H1fd. zenon_intro zenon_H31c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H1fe. zenon_intro zenon_H1fc. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H251 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_L512_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L515_); trivial. % 0.77/0.94 apply (zenon_L511_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L518_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L521_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_L523_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H10. zenon_intro zenon_H94. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H94). zenon_intro zenon_H71. zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H95). zenon_intro zenon_H7c. zenon_intro zenon_H70. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L515_); trivial. % 0.77/0.94 apply (zenon_L522_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L524_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L526_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_L528_); trivial. % 0.77/0.94 apply (zenon_L532_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L504_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H10. zenon_intro zenon_H25b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H170. zenon_intro zenon_H25c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H16e. zenon_intro zenon_H16f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Haa | zenon_intro zenon_He0 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L340_); trivial. % 0.77/0.94 apply (zenon_L527_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L497_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H1a9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H13 | zenon_intro zenon_H92 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_Hc | zenon_intro zenon_H69 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 apply (zenon_L534_); trivial. % 0.77/0.94 apply (zenon_L535_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L504_); trivial. % 0.77/0.94 apply (zenon_L218_); trivial. % 0.77/0.94 apply (zenon_L537_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H10. zenon_intro zenon_H255. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H1e2. zenon_intro zenon_H256. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H27 | zenon_intro zenon_H1f9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L62_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.94 apply (zenon_L538_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 exact (zenon_H5e zenon_H5f). % 0.77/0.94 apply (zenon_L511_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L521_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H5 | zenon_intro zenon_H25a ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H28d | zenon_intro zenon_H299 ]. % 0.77/0.94 apply (zenon_L480_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H10. zenon_intro zenon_H29a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H291. zenon_intro zenon_H29b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H11 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L62_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H10. zenon_intro zenon_H62. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H4b. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H4c. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.94 apply (zenon_L538_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_L122_); trivial. % 0.77/0.94 apply (zenon_L522_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_L526_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H10. zenon_intro zenon_H1fa. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1d3. zenon_intro zenon_H1fb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1d4. zenon_intro zenon_H1d2. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H5e | zenon_intro zenon_H257 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H30 | zenon_intro zenon_H64 ]. % 0.77/0.94 apply (zenon_L460_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H49 | zenon_intro zenon_H5f ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 exact (zenon_H5e zenon_H5f). % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H10. zenon_intro zenon_H258. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H19a. zenon_intro zenon_H259. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H19b. zenon_intro zenon_H199. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hc1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H30 | zenon_intro zenon_H1a3 ]. % 0.77/0.94 apply (zenon_L460_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H49 | zenon_intro zenon_Hb0 ]. % 0.77/0.94 apply (zenon_L168_); trivial. % 0.77/0.94 apply (zenon_L122_); trivial. % 0.77/0.94 apply (zenon_L492_); trivial. % 0.77/0.94 Qed. % 0.77/0.94 % SZS output end Proof % 0.77/0.94 (* END-PROOF *) % 0.77/0.94 nodes searched: 29936 % 0.77/0.94 max branch formulas: 442 % 0.77/0.94 proof nodes created: 4187 % 0.77/0.94 formulas created: 32678 % 0.77/0.94 %------------------------------------------------------------------------------