%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN448+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 13:52:41 EDT 2022 % Result : Theorem 0.71s 0.90s % Output : Proof 0.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN448+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n024.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 17:47:13 EDT 2022 % 0.13/0.34 % CPUTime : % 0.71/0.90 (* PROOF-FOUND *) % 0.71/0.90 % SZS status Theorem % 0.71/0.90 (* BEGIN-PROOF *) % 0.71/0.90 % SZS output start Proof % 0.71/0.90 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a463))/\((~(c0_1 (a463)))/\(~(c1_1 (a463)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a465)))/\((~(c2_1 (a465)))/\(~(c3_1 (a465)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a466))/\((c3_1 (a466))/\(~(c0_1 (a466)))))))/\(((~(hskp4))\/((ndr1_0)/\((c3_1 (a467))/\((~(c0_1 (a467)))/\(~(c1_1 (a467)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a468))/\((c3_1 (a468))/\(~(c2_1 (a468)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a474))/\((~(c1_1 (a474)))/\(~(c2_1 (a474)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a475))/\((c1_1 (a475))/\(~(c3_1 (a475)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a483))/\((c2_1 (a483))/\(~(c3_1 (a483)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a500))/\((c2_1 (a500))/\(~(c0_1 (a500)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a540))/\((~(c1_1 (a540)))/\(~(c2_1 (a540)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490))))))/\(((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))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(hskp0)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp5)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp7)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp11)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp13)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp27)\/(hskp10)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp8)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((hskp3)\/(hskp15)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((c2_1 X65)\/(~(c3_1 X65))))))\/((hskp7)\/(hskp12)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp27)\/(hskp16)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((hskp18)\/(hskp2)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17)))/\(((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp1)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21)))/\(((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((hskp11)\/(hskp7)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp18)\/(hskp20)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/((hskp15)\/(hskp12)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10)))/\(((hskp27)\/((hskp22)\/(hskp17)))/\(((hskp8)\/((hskp15)\/(hskp16)))/\(((hskp25)\/((hskp5)\/(hskp14)))/\(((hskp9)\/((hskp23)\/(hskp20)))/\(((hskp21)\/((hskp10)\/(hskp6)))/\(((hskp5)\/(hskp11))/\(((hskp24)\/((hskp15)\/(hskp16)))/\((hskp20)\/((hskp6)\/(hskp12)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.71/0.90 Proof. % 0.71/0.90 assert (zenon_L1_ : (~(hskp5)) -> (hskp5) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1 zenon_H2. % 0.71/0.90 exact (zenon_H1 zenon_H2). % 0.71/0.90 (* end of lemma zenon_L1_ *) % 0.71/0.90 assert (zenon_L2_ : (~(hskp11)) -> (hskp11) -> False). % 0.71/0.90 do 0 intro. intros zenon_H3 zenon_H4. % 0.71/0.90 exact (zenon_H3 zenon_H4). % 0.71/0.90 (* end of lemma zenon_L2_ *) % 0.71/0.90 assert (zenon_L3_ : ((hskp5)\/(hskp11)) -> (~(hskp11)) -> (~(hskp5)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H5 zenon_H3 zenon_H1. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.71/0.90 exact (zenon_H1 zenon_H2). % 0.71/0.90 exact (zenon_H3 zenon_H4). % 0.71/0.90 (* end of lemma zenon_L3_ *) % 0.71/0.90 assert (zenon_L4_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.71/0.90 do 0 intro. intros zenon_H6 zenon_H7. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 (* end of lemma zenon_L4_ *) % 0.71/0.90 assert (zenon_L5_ : (~(hskp0)) -> (hskp0) -> False). % 0.71/0.90 do 0 intro. intros zenon_H8 zenon_H9. % 0.71/0.90 exact (zenon_H8 zenon_H9). % 0.71/0.90 (* end of lemma zenon_L5_ *) % 0.71/0.90 assert (zenon_L6_ : (~(hskp12)) -> (hskp12) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha zenon_Hb. % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 (* end of lemma zenon_L6_ *) % 0.71/0.90 assert (zenon_L7_ : ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> (~(c0_1 (a478))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp12)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc zenon_Hd zenon_He zenon_Hf zenon_H7 zenon_H8 zenon_Ha. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.71/0.90 generalize (zenon_H11 (a478)). zenon_intro zenon_H12. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H6 | zenon_intro zenon_H13 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.71/0.90 exact (zenon_Hf zenon_H15). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H14); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.71/0.90 exact (zenon_He zenon_H17). % 0.71/0.90 exact (zenon_H16 zenon_Hd). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb ]. % 0.71/0.90 exact (zenon_H8 zenon_H9). % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 (* end of lemma zenon_L7_ *) % 0.71/0.90 assert (zenon_L8_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H18 zenon_H7 zenon_H19 zenon_H1a zenon_H1b. % 0.71/0.90 generalize (zenon_H18 (a480)). zenon_intro zenon_H1c. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ]. % 0.71/0.90 exact (zenon_H19 zenon_H1f). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.71/0.90 exact (zenon_H1a zenon_H21). % 0.71/0.90 exact (zenon_H1b zenon_H20). % 0.71/0.90 (* end of lemma zenon_L8_ *) % 0.71/0.90 assert (zenon_L9_ : (~(hskp1)) -> (hskp1) -> False). % 0.71/0.90 do 0 intro. intros zenon_H22 zenon_H23. % 0.71/0.90 exact (zenon_H22 zenon_H23). % 0.71/0.90 (* end of lemma zenon_L9_ *) % 0.71/0.90 assert (zenon_L10_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H24 zenon_H25 zenon_H8 zenon_H22. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H18 | zenon_intro zenon_H28 ]. % 0.71/0.90 apply (zenon_L8_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H9 | zenon_intro zenon_H23 ]. % 0.71/0.90 exact (zenon_H8 zenon_H9). % 0.71/0.90 exact (zenon_H22 zenon_H23). % 0.71/0.90 (* end of lemma zenon_L10_ *) % 0.71/0.90 assert (zenon_L11_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a478))) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H7 zenon_Hf zenon_He zenon_Hd zenon_H8 zenon_Hc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.90 apply (zenon_L7_); trivial. % 0.71/0.90 apply (zenon_L10_); trivial. % 0.71/0.90 (* end of lemma zenon_L11_ *) % 0.71/0.90 assert (zenon_L12_ : (~(hskp20)) -> (hskp20) -> False). % 0.71/0.90 do 0 intro. intros zenon_H2a zenon_H2b. % 0.71/0.90 exact (zenon_H2a zenon_H2b). % 0.71/0.90 (* end of lemma zenon_L12_ *) % 0.71/0.90 assert (zenon_L13_ : (~(hskp6)) -> (hskp6) -> False). % 0.71/0.90 do 0 intro. intros zenon_H2c zenon_H2d. % 0.71/0.90 exact (zenon_H2c zenon_H2d). % 0.71/0.90 (* end of lemma zenon_L13_ *) % 0.71/0.90 assert (zenon_L14_ : ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp20)) -> (~(hskp6)) -> (~(hskp12)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H2e zenon_H2a zenon_H2c zenon_Ha. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f ]. % 0.71/0.90 exact (zenon_H2a zenon_H2b). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb ]. % 0.71/0.90 exact (zenon_H2c zenon_H2d). % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 (* end of lemma zenon_L14_ *) % 0.71/0.90 assert (zenon_L15_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a503))) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H30 zenon_H7 zenon_H31 zenon_H32 zenon_H33. % 0.71/0.90 generalize (zenon_H30 (a503)). zenon_intro zenon_H34. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H6 | zenon_intro zenon_H35 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.71/0.90 exact (zenon_H31 zenon_H37). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.71/0.90 exact (zenon_H32 zenon_H39). % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 (* end of lemma zenon_L15_ *) % 0.71/0.90 assert (zenon_L16_ : (~(hskp9)) -> (hskp9) -> False). % 0.71/0.90 do 0 intro. intros zenon_H3a zenon_H3b. % 0.71/0.90 exact (zenon_H3a zenon_H3b). % 0.71/0.90 (* end of lemma zenon_L16_ *) % 0.71/0.90 assert (zenon_L17_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a503))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H3c zenon_H3d zenon_H33 zenon_H30 zenon_H32 zenon_H7 zenon_H3a. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.71/0.90 generalize (zenon_H3f (a503)). zenon_intro zenon_H40. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H6 | zenon_intro zenon_H41 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H39 | zenon_intro zenon_H42 ]. % 0.71/0.90 exact (zenon_H32 zenon_H39). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ]. % 0.71/0.90 apply (zenon_L15_); trivial. % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H43 | zenon_intro zenon_H3b ]. % 0.71/0.90 generalize (zenon_H43 (a503)). zenon_intro zenon_H44. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H6 | zenon_intro zenon_H45 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H39 | zenon_intro zenon_H46 ]. % 0.71/0.90 exact (zenon_H32 zenon_H39). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H31 | zenon_intro zenon_H47 ]. % 0.71/0.90 apply (zenon_L15_); trivial. % 0.71/0.90 exact (zenon_H47 zenon_H3d). % 0.71/0.90 exact (zenon_H3a zenon_H3b). % 0.71/0.90 (* end of lemma zenon_L17_ *) % 0.71/0.90 assert (zenon_L18_ : (~(hskp2)) -> (hskp2) -> False). % 0.71/0.90 do 0 intro. intros zenon_H48 zenon_H49. % 0.71/0.90 exact (zenon_H48 zenon_H49). % 0.71/0.90 (* end of lemma zenon_L18_ *) % 0.71/0.90 assert (zenon_L19_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H4a zenon_H4b zenon_H3a zenon_H3c zenon_H2c zenon_H48. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H30 | zenon_intro zenon_H4e ]. % 0.71/0.90 apply (zenon_L17_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ]. % 0.71/0.90 exact (zenon_H2c zenon_H2d). % 0.71/0.90 exact (zenon_H48 zenon_H49). % 0.71/0.90 (* end of lemma zenon_L19_ *) % 0.71/0.90 assert (zenon_L20_ : (~(hskp21)) -> (hskp21) -> False). % 0.71/0.90 do 0 intro. intros zenon_H4f zenon_H50. % 0.71/0.90 exact (zenon_H4f zenon_H50). % 0.71/0.90 (* end of lemma zenon_L20_ *) % 0.71/0.90 assert (zenon_L21_ : (~(hskp10)) -> (hskp10) -> False). % 0.71/0.90 do 0 intro. intros zenon_H51 zenon_H52. % 0.71/0.90 exact (zenon_H51 zenon_H52). % 0.71/0.90 (* end of lemma zenon_L21_ *) % 0.71/0.90 assert (zenon_L22_ : ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp21)) -> (~(hskp10)) -> (~(hskp6)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H53 zenon_H4f zenon_H51 zenon_H2c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H50 | zenon_intro zenon_H54 ]. % 0.71/0.90 exact (zenon_H4f zenon_H50). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H52 | zenon_intro zenon_H2d ]. % 0.71/0.90 exact (zenon_H51 zenon_H52). % 0.71/0.90 exact (zenon_H2c zenon_H2d). % 0.71/0.90 (* end of lemma zenon_L22_ *) % 0.71/0.90 assert (zenon_L23_ : (forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73)))))) -> (ndr1_0) -> (~(c1_1 (a512))) -> (c0_1 (a512)) -> (c3_1 (a512)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H43 zenon_H7 zenon_H55 zenon_H56 zenon_H57. % 0.71/0.90 generalize (zenon_H43 (a512)). zenon_intro zenon_H58. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H6 | zenon_intro zenon_H59 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.71/0.90 exact (zenon_H55 zenon_H5b). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ]. % 0.71/0.90 exact (zenon_H5d zenon_H56). % 0.71/0.90 exact (zenon_H5c zenon_H57). % 0.71/0.90 (* end of lemma zenon_L23_ *) % 0.71/0.90 assert (zenon_L24_ : (~(hskp3)) -> (hskp3) -> False). % 0.71/0.90 do 0 intro. intros zenon_H5e zenon_H5f. % 0.71/0.90 exact (zenon_H5e zenon_H5f). % 0.71/0.90 (* end of lemma zenon_L24_ *) % 0.71/0.90 assert (zenon_L25_ : ((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (~(hskp12)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H60 zenon_H61 zenon_H5e zenon_Ha. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H7. zenon_intro zenon_H62. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H56. zenon_intro zenon_H63. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H57. zenon_intro zenon_H55. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H64 ]. % 0.71/0.90 apply (zenon_L23_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_Hb ]. % 0.71/0.90 exact (zenon_H5e zenon_H5f). % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 (* end of lemma zenon_L25_ *) % 0.71/0.90 assert (zenon_L26_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H65 zenon_H61 zenon_Ha zenon_H5e zenon_H51 zenon_H2c zenon_H53. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H60 ]. % 0.71/0.90 apply (zenon_L22_); trivial. % 0.71/0.90 apply (zenon_L25_); trivial. % 0.71/0.90 (* end of lemma zenon_L26_ *) % 0.71/0.90 assert (zenon_L27_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> (~(hskp10)) -> (~(hskp3)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H53 zenon_H2c zenon_H51 zenon_H5e zenon_H61 zenon_H65. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.90 apply (zenon_L26_); trivial. % 0.71/0.90 apply (zenon_L10_); trivial. % 0.71/0.90 (* end of lemma zenon_L27_ *) % 0.71/0.90 assert (zenon_L28_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H3f zenon_H7 zenon_H66 zenon_H67 zenon_H68. % 0.71/0.90 generalize (zenon_H3f (a476)). zenon_intro zenon_H69. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H6 | zenon_intro zenon_H6a ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.71/0.90 exact (zenon_H66 zenon_H6c). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.71/0.90 exact (zenon_H6e zenon_H67). % 0.71/0.90 exact (zenon_H6d zenon_H68). % 0.71/0.90 (* end of lemma zenon_L28_ *) % 0.71/0.90 assert (zenon_L29_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (c3_1 (a476)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H6f zenon_H7 zenon_H67 zenon_H68 zenon_H70. % 0.71/0.90 generalize (zenon_H6f (a476)). zenon_intro zenon_H71. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H6 | zenon_intro zenon_H72 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H6e | zenon_intro zenon_H73 ]. % 0.71/0.90 exact (zenon_H6e zenon_H67). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6d | zenon_intro zenon_H74 ]. % 0.71/0.90 exact (zenon_H6d zenon_H68). % 0.71/0.90 exact (zenon_H74 zenon_H70). % 0.71/0.90 (* end of lemma zenon_L29_ *) % 0.71/0.90 assert (zenon_L30_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a476))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H75 zenon_H7 zenon_H66 zenon_H6f zenon_H67 zenon_H68. % 0.71/0.90 generalize (zenon_H75 (a476)). zenon_intro zenon_H76. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H6 | zenon_intro zenon_H77 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H6c | zenon_intro zenon_H78 ]. % 0.71/0.90 exact (zenon_H66 zenon_H6c). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H70 | zenon_intro zenon_H6d ]. % 0.71/0.90 apply (zenon_L29_); trivial. % 0.71/0.90 exact (zenon_H6d zenon_H68). % 0.71/0.90 (* end of lemma zenon_L30_ *) % 0.71/0.90 assert (zenon_L31_ : (~(hskp17)) -> (hskp17) -> False). % 0.71/0.90 do 0 intro. intros zenon_H79 zenon_H7a. % 0.71/0.90 exact (zenon_H79 zenon_H7a). % 0.71/0.90 (* end of lemma zenon_L31_ *) % 0.71/0.90 assert (zenon_L32_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (~(hskp17)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H75 zenon_H79. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.71/0.90 apply (zenon_L28_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.71/0.90 apply (zenon_L30_); trivial. % 0.71/0.90 exact (zenon_H79 zenon_H7a). % 0.71/0.90 (* end of lemma zenon_L32_ *) % 0.71/0.90 assert (zenon_L33_ : (~(hskp14)) -> (hskp14) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7d zenon_H7e. % 0.71/0.90 exact (zenon_H7d zenon_H7e). % 0.71/0.90 (* end of lemma zenon_L33_ *) % 0.71/0.90 assert (zenon_L34_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp12)) -> (~(hskp14)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7f zenon_H79 zenon_H7 zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_Ha zenon_H7d. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H75 | zenon_intro zenon_H80 ]. % 0.71/0.90 apply (zenon_L32_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_Hb | zenon_intro zenon_H7e ]. % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 exact (zenon_H7d zenon_H7e). % 0.71/0.90 (* end of lemma zenon_L34_ *) % 0.71/0.90 assert (zenon_L35_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (ndr1_0) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H81 zenon_H7 zenon_H82 zenon_H83 zenon_H84. % 0.71/0.90 generalize (zenon_H81 (a494)). zenon_intro zenon_H85. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H85); [ zenon_intro zenon_H6 | zenon_intro zenon_H86 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 0.71/0.90 exact (zenon_H82 zenon_H88). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.71/0.90 exact (zenon_H83 zenon_H8a). % 0.71/0.90 exact (zenon_H84 zenon_H89). % 0.71/0.90 (* end of lemma zenon_L35_ *) % 0.71/0.90 assert (zenon_L36_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c1_1 (a494))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (~(c3_1 (a494))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H8b zenon_H7 zenon_H83 zenon_H75 zenon_H84. % 0.71/0.90 generalize (zenon_H8b (a494)). zenon_intro zenon_H8c. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H8c); [ zenon_intro zenon_H6 | zenon_intro zenon_H8d ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8a | zenon_intro zenon_H8e ]. % 0.71/0.90 exact (zenon_H83 zenon_H8a). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8f | zenon_intro zenon_H89 ]. % 0.71/0.90 generalize (zenon_H75 (a494)). zenon_intro zenon_H90. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H90); [ zenon_intro zenon_H6 | zenon_intro zenon_H91 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8a | zenon_intro zenon_H92 ]. % 0.71/0.90 exact (zenon_H83 zenon_H8a). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H89 | zenon_intro zenon_H93 ]. % 0.71/0.90 exact (zenon_H84 zenon_H89). % 0.71/0.90 exact (zenon_H93 zenon_H8f). % 0.71/0.90 exact (zenon_H84 zenon_H89). % 0.71/0.90 (* end of lemma zenon_L36_ *) % 0.71/0.90 assert (zenon_L37_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (~(hskp12)) -> (~(hskp14)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7f zenon_H84 zenon_H83 zenon_H7 zenon_H8b zenon_Ha zenon_H7d. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H75 | zenon_intro zenon_H80 ]. % 0.71/0.90 apply (zenon_L36_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_Hb | zenon_intro zenon_H7e ]. % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 exact (zenon_H7d zenon_H7e). % 0.71/0.90 (* end of lemma zenon_L37_ *) % 0.71/0.90 assert (zenon_L38_ : (forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H94 zenon_H7 zenon_H95 zenon_H96 zenon_H97. % 0.71/0.90 generalize (zenon_H94 (a477)). zenon_intro zenon_H98. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_H6 | zenon_intro zenon_H99 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 0.71/0.90 exact (zenon_H95 zenon_H9b). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ]. % 0.71/0.90 exact (zenon_H9d zenon_H96). % 0.71/0.90 exact (zenon_H9c zenon_H97). % 0.71/0.90 (* end of lemma zenon_L38_ *) % 0.71/0.90 assert (zenon_L39_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H9e zenon_H9f zenon_H7d zenon_Ha zenon_H7f zenon_H95 zenon_H96 zenon_H97. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.71/0.90 apply (zenon_L35_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.71/0.90 apply (zenon_L37_); trivial. % 0.71/0.90 apply (zenon_L38_); trivial. % 0.71/0.90 (* end of lemma zenon_L39_ *) % 0.71/0.90 assert (zenon_L40_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_Ha zenon_H7d zenon_H7f. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.90 apply (zenon_L34_); trivial. % 0.71/0.90 apply (zenon_L39_); trivial. % 0.71/0.90 (* end of lemma zenon_L40_ *) % 0.71/0.90 assert (zenon_L41_ : (~(hskp27)) -> (hskp27) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha4 zenon_Ha5. % 0.71/0.90 exact (zenon_Ha4 zenon_Ha5). % 0.71/0.90 (* end of lemma zenon_L41_ *) % 0.71/0.90 assert (zenon_L42_ : ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp27)) -> (~(hskp22)) -> (~(hskp17)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha6 zenon_Ha4 zenon_Ha7 zenon_H79. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha8 ]. % 0.71/0.90 exact (zenon_Ha4 zenon_Ha5). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H7a ]. % 0.71/0.90 exact (zenon_Ha7 zenon_Ha9). % 0.71/0.90 exact (zenon_H79 zenon_H7a). % 0.71/0.90 (* end of lemma zenon_L42_ *) % 0.71/0.90 assert (zenon_L43_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a503))) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H3f zenon_H7 zenon_H32 zenon_Haa zenon_H33 zenon_H3d. % 0.71/0.90 generalize (zenon_H3f (a503)). zenon_intro zenon_H40. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H6 | zenon_intro zenon_H41 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H39 | zenon_intro zenon_H42 ]. % 0.71/0.90 exact (zenon_H32 zenon_H39). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H31 | zenon_intro zenon_H38 ]. % 0.71/0.90 generalize (zenon_Haa (a503)). zenon_intro zenon_Hab. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H6 | zenon_intro zenon_Hac ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H37 | zenon_intro zenon_Had ]. % 0.71/0.90 exact (zenon_H31 zenon_H37). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H38 | zenon_intro zenon_H47 ]. % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 exact (zenon_H47 zenon_H3d). % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 (* end of lemma zenon_L43_ *) % 0.71/0.90 assert (zenon_L44_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Haa zenon_H7 zenon_H6f zenon_H33 zenon_H3d. % 0.71/0.90 generalize (zenon_Haa (a503)). zenon_intro zenon_Hab. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H6 | zenon_intro zenon_Hac ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H37 | zenon_intro zenon_Had ]. % 0.71/0.90 generalize (zenon_H6f (a503)). zenon_intro zenon_Hae. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_Hae); [ zenon_intro zenon_H6 | zenon_intro zenon_Haf ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H31 | zenon_intro zenon_Had ]. % 0.71/0.90 exact (zenon_H31 zenon_H37). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H38 | zenon_intro zenon_H47 ]. % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 exact (zenon_H47 zenon_H3d). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H38 | zenon_intro zenon_H47 ]. % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 exact (zenon_H47 zenon_H3d). % 0.71/0.90 (* end of lemma zenon_L44_ *) % 0.71/0.90 assert (zenon_L45_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a503))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (~(hskp17)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7b zenon_H32 zenon_H3d zenon_H33 zenon_H7 zenon_Haa zenon_H79. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.71/0.90 apply (zenon_L43_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.71/0.90 apply (zenon_L44_); trivial. % 0.71/0.90 exact (zenon_H79 zenon_H7a). % 0.71/0.90 (* end of lemma zenon_L45_ *) % 0.71/0.90 assert (zenon_L46_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H8b zenon_H7 zenon_Hb0 zenon_Hb1 zenon_Hb2. % 0.71/0.90 generalize (zenon_H8b (a488)). zenon_intro zenon_Hb3. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_Hb3); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb4 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 0.71/0.90 exact (zenon_Hb0 zenon_Hb6). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb7 ]. % 0.71/0.90 exact (zenon_Hb1 zenon_Hb8). % 0.71/0.90 exact (zenon_Hb2 zenon_Hb7). % 0.71/0.90 (* end of lemma zenon_L46_ *) % 0.71/0.90 assert (zenon_L47_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hb9 zenon_H7 zenon_Hba zenon_Hbb zenon_Hbc. % 0.71/0.90 generalize (zenon_Hb9 (a473)). zenon_intro zenon_Hbd. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_Hbd); [ zenon_intro zenon_H6 | zenon_intro zenon_Hbe ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.71/0.90 exact (zenon_Hc0 zenon_Hba). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc1 ]. % 0.71/0.90 exact (zenon_Hc2 zenon_Hbb). % 0.71/0.90 exact (zenon_Hc1 zenon_Hbc). % 0.71/0.90 (* end of lemma zenon_L47_ *) % 0.71/0.90 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> (~(c1_1 (a503))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H79 zenon_H33 zenon_H3d zenon_H32 zenon_H7b zenon_Hb2 zenon_Hb1 zenon_Hb0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.71/0.90 apply (zenon_L45_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.71/0.90 apply (zenon_L46_); trivial. % 0.71/0.90 apply (zenon_L47_); trivial. % 0.71/0.90 (* end of lemma zenon_L48_ *) % 0.71/0.90 assert (zenon_L49_ : (forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (ndr1_0) -> (~(c2_1 (a524))) -> (c0_1 (a524)) -> (c1_1 (a524)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc8 zenon_H7 zenon_Hc9 zenon_Hca zenon_Hcb. % 0.71/0.90 generalize (zenon_Hc8 (a524)). zenon_intro zenon_Hcc. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_Hcc); [ zenon_intro zenon_H6 | zenon_intro zenon_Hcd ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.71/0.90 exact (zenon_Hc9 zenon_Hcf). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.71/0.90 exact (zenon_Hd1 zenon_Hca). % 0.71/0.90 exact (zenon_Hd0 zenon_Hcb). % 0.71/0.90 (* end of lemma zenon_L49_ *) % 0.71/0.90 assert (zenon_L50_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H4a zenon_Hd2 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.71/0.90 apply (zenon_L42_); trivial. % 0.71/0.90 apply (zenon_L48_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.90 apply (zenon_L45_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.90 apply (zenon_L32_); trivial. % 0.71/0.90 apply (zenon_L49_); trivial. % 0.71/0.90 (* end of lemma zenon_L50_ *) % 0.71/0.90 assert (zenon_L51_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.90 apply (zenon_L14_); trivial. % 0.71/0.90 apply (zenon_L50_); trivial. % 0.71/0.90 (* end of lemma zenon_L51_ *) % 0.71/0.90 assert (zenon_L52_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H9e zenon_H9f zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H95 zenon_H96 zenon_H97. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.71/0.90 apply (zenon_L35_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.71/0.90 apply (zenon_L46_); trivial. % 0.71/0.90 apply (zenon_L38_); trivial. % 0.71/0.90 (* end of lemma zenon_L52_ *) % 0.71/0.90 assert (zenon_L53_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_Ha3 zenon_H9f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7f zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Ha6 zenon_Hc4 zenon_Hd4 zenon_H2c zenon_H2e zenon_Hdb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.90 apply (zenon_L40_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.90 apply (zenon_L51_); trivial. % 0.71/0.90 apply (zenon_L52_); trivial. % 0.71/0.90 apply (zenon_L10_); trivial. % 0.71/0.90 (* end of lemma zenon_L53_ *) % 0.71/0.90 assert (zenon_L54_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_He1 zenon_Ha3 zenon_H9f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7f zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Ha6 zenon_Hc4 zenon_Hd4 zenon_H2e zenon_Hdb zenon_H65 zenon_H61 zenon_H5e zenon_H2c zenon_H53 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.90 apply (zenon_L27_); trivial. % 0.71/0.90 apply (zenon_L53_); trivial. % 0.71/0.90 (* end of lemma zenon_L54_ *) % 0.71/0.90 assert (zenon_L55_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_He2 zenon_He1 zenon_Ha3 zenon_H9f zenon_H7b zenon_H7f zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Ha6 zenon_Hc4 zenon_Hd4 zenon_H2e zenon_Hdb zenon_H65 zenon_H61 zenon_H5e zenon_H2c zenon_H53 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.90 apply (zenon_L54_); trivial. % 0.71/0.90 (* end of lemma zenon_L55_ *) % 0.71/0.90 assert (zenon_L56_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_He5 zenon_He1 zenon_Ha3 zenon_H9f zenon_H7b zenon_H7f zenon_Hd2 zenon_Hd3 zenon_Ha6 zenon_Hc4 zenon_Hd4 zenon_Hdb zenon_H65 zenon_H61 zenon_H5e zenon_H53 zenon_Hd9 zenon_H4b zenon_H48 zenon_H3c zenon_H2c zenon_H2e zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.90 apply (zenon_L14_); trivial. % 0.71/0.90 apply (zenon_L19_); trivial. % 0.71/0.90 apply (zenon_L10_); trivial. % 0.71/0.90 apply (zenon_L55_); trivial. % 0.71/0.90 (* end of lemma zenon_L56_ *) % 0.71/0.90 assert (zenon_L57_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H75 zenon_H7 zenon_He6 zenon_He7 zenon_He8. % 0.71/0.90 generalize (zenon_H75 (a471)). zenon_intro zenon_He9. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H6 | zenon_intro zenon_Hea ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.71/0.90 exact (zenon_He6 zenon_Hec). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.71/0.90 exact (zenon_He7 zenon_Hee). % 0.71/0.90 exact (zenon_Hed zenon_He8). % 0.71/0.90 (* end of lemma zenon_L57_ *) % 0.71/0.90 assert (zenon_L58_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp14)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Ha zenon_H7d. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H75 | zenon_intro zenon_H80 ]. % 0.71/0.90 apply (zenon_L57_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_Hb | zenon_intro zenon_H7e ]. % 0.71/0.90 exact (zenon_Ha zenon_Hb). % 0.71/0.90 exact (zenon_H7d zenon_H7e). % 0.71/0.90 (* end of lemma zenon_L58_ *) % 0.71/0.90 assert (zenon_L59_ : (~(hskp8)) -> (hskp8) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hef zenon_Hf0. % 0.71/0.90 exact (zenon_Hef zenon_Hf0). % 0.71/0.90 (* end of lemma zenon_L59_ *) % 0.71/0.90 assert (zenon_L60_ : (~(hskp15)) -> (hskp15) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf1 zenon_Hf2. % 0.71/0.90 exact (zenon_Hf1 zenon_Hf2). % 0.71/0.90 (* end of lemma zenon_L60_ *) % 0.71/0.90 assert (zenon_L61_ : (~(hskp16)) -> (hskp16) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf3 zenon_Hf4. % 0.71/0.90 exact (zenon_Hf3 zenon_Hf4). % 0.71/0.90 (* end of lemma zenon_L61_ *) % 0.71/0.90 assert (zenon_L62_ : ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf5 zenon_Hef zenon_Hf1 zenon_Hf3. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ]. % 0.71/0.90 exact (zenon_Hef zenon_Hf0). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf4 ]. % 0.71/0.90 exact (zenon_Hf1 zenon_Hf2). % 0.71/0.90 exact (zenon_Hf3 zenon_Hf4). % 0.71/0.90 (* end of lemma zenon_L62_ *) % 0.71/0.90 assert (zenon_L63_ : (~(hskp19)) -> (hskp19) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf7 zenon_Hf8. % 0.71/0.90 exact (zenon_Hf7 zenon_Hf8). % 0.71/0.90 (* end of lemma zenon_L63_ *) % 0.71/0.90 assert (zenon_L64_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hf7 zenon_H2a. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hfa ]. % 0.71/0.90 apply (zenon_L57_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2b ]. % 0.71/0.90 exact (zenon_Hf7 zenon_Hf8). % 0.71/0.90 exact (zenon_H2a zenon_H2b). % 0.71/0.90 (* end of lemma zenon_L64_ *) % 0.71/0.90 assert (zenon_L65_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (ndr1_0) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_H33 zenon_H6f zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7 zenon_Hba zenon_Hbb zenon_Hbc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.71/0.90 apply (zenon_L44_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.71/0.90 apply (zenon_L46_); trivial. % 0.71/0.90 apply (zenon_L47_); trivial. % 0.71/0.90 (* end of lemma zenon_L65_ *) % 0.71/0.90 assert (zenon_L66_ : (~(hskp26)) -> (hskp26) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hfb zenon_Hfc. % 0.71/0.90 exact (zenon_Hfb zenon_Hfc). % 0.71/0.90 (* end of lemma zenon_L66_ *) % 0.71/0.90 assert (zenon_L67_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp9)) -> (~(c1_1 (a503))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp26)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc3 zenon_Hfd zenon_H3a zenon_H32 zenon_H3c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H33 zenon_H3d zenon_Hc4 zenon_Hfb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.71/0.90 apply (zenon_L17_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.71/0.90 apply (zenon_L65_); trivial. % 0.71/0.90 exact (zenon_Hfb zenon_Hfc). % 0.71/0.90 (* end of lemma zenon_L67_ *) % 0.71/0.90 assert (zenon_L68_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a470))) -> (c2_1 (a470)) -> (c3_1 (a470)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Haa zenon_H7 zenon_Hff zenon_H100 zenon_H101. % 0.71/0.90 generalize (zenon_Haa (a470)). zenon_intro zenon_H102. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_H6 | zenon_intro zenon_H103 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 0.71/0.90 exact (zenon_Hff zenon_H105). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 0.71/0.90 exact (zenon_H107 zenon_H100). % 0.71/0.90 exact (zenon_H106 zenon_H101). % 0.71/0.90 (* end of lemma zenon_L68_ *) % 0.71/0.90 assert (zenon_L69_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (c2_1 (a470)) -> (c3_1 (a470)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H6f zenon_H7 zenon_Haa zenon_H100 zenon_H101. % 0.71/0.90 generalize (zenon_H6f (a470)). zenon_intro zenon_H108. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H108); [ zenon_intro zenon_H6 | zenon_intro zenon_H109 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hff | zenon_intro zenon_H104 ]. % 0.71/0.90 apply (zenon_L68_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 0.71/0.90 exact (zenon_H107 zenon_H100). % 0.71/0.90 exact (zenon_H106 zenon_H101). % 0.71/0.90 (* end of lemma zenon_L69_ *) % 0.71/0.90 assert (zenon_L70_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c1_1 (a503))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H7b zenon_H3d zenon_H33 zenon_H32 zenon_H101 zenon_H100 zenon_Haa zenon_H7 zenon_H79. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.71/0.90 apply (zenon_L43_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.71/0.90 apply (zenon_L69_); trivial. % 0.71/0.90 exact (zenon_H79 zenon_H7a). % 0.71/0.90 (* end of lemma zenon_L70_ *) % 0.71/0.90 assert (zenon_L71_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> (c2_1 (a470)) -> (c3_1 (a470)) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H79 zenon_H100 zenon_H101 zenon_H32 zenon_H33 zenon_H3d zenon_H7b zenon_Hb2 zenon_Hb1 zenon_Hb0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.71/0.90 apply (zenon_L70_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.71/0.90 apply (zenon_L46_); trivial. % 0.71/0.90 apply (zenon_L47_); trivial. % 0.71/0.90 (* end of lemma zenon_L71_ *) % 0.71/0.90 assert (zenon_L72_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H10a zenon_Hd4 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H32 zenon_H33 zenon_H3d zenon_H7b zenon_Ha7 zenon_H79 zenon_Ha6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.71/0.90 apply (zenon_L42_); trivial. % 0.71/0.90 apply (zenon_L71_); trivial. % 0.71/0.90 (* end of lemma zenon_L72_ *) % 0.71/0.90 assert (zenon_L73_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c2_1 (a524))) -> (c0_1 (a524)) -> (c1_1 (a524)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H6f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hc9 zenon_Hca zenon_Hcb. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.90 apply (zenon_L44_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.90 apply (zenon_L57_); trivial. % 0.71/0.90 apply (zenon_L49_); trivial. % 0.71/0.90 (* end of lemma zenon_L73_ *) % 0.71/0.90 assert (zenon_L74_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp9)) -> (~(c1_1 (a503))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c1_1 (a524)) -> (c0_1 (a524)) -> (~(c2_1 (a524))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp26)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hfd zenon_H3a zenon_H32 zenon_H3c zenon_Hcb zenon_Hca zenon_Hc9 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_H33 zenon_H3d zenon_Hd3 zenon_Hfb. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.71/0.90 apply (zenon_L17_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.71/0.90 apply (zenon_L73_); trivial. % 0.71/0.90 exact (zenon_Hfb zenon_Hfc). % 0.71/0.90 (* end of lemma zenon_L74_ *) % 0.71/0.90 assert (zenon_L75_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (c2_1 (a470)) -> (c3_1 (a470)) -> (c1_1 (a470)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hb9 zenon_H7 zenon_Haa zenon_H100 zenon_H101 zenon_H10d. % 0.71/0.90 generalize (zenon_Hb9 (a470)). zenon_intro zenon_H10e. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_H6 | zenon_intro zenon_H10f ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hff | zenon_intro zenon_H110 ]. % 0.71/0.90 apply (zenon_L68_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H111 | zenon_intro zenon_H106 ]. % 0.71/0.90 exact (zenon_H111 zenon_H10d). % 0.71/0.90 exact (zenon_H106 zenon_H101). % 0.71/0.90 (* end of lemma zenon_L75_ *) % 0.71/0.90 assert (zenon_L76_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a470)) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c2_1 (a524))) -> (c0_1 (a524)) -> (c1_1 (a524)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hd3 zenon_H10d zenon_H101 zenon_H100 zenon_Hb9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hc9 zenon_Hca zenon_Hcb. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.90 apply (zenon_L75_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.90 apply (zenon_L57_); trivial. % 0.71/0.90 apply (zenon_L49_); trivial. % 0.71/0.90 (* end of lemma zenon_L76_ *) % 0.71/0.90 assert (zenon_L77_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c2_1 (a524))) -> (c0_1 (a524)) -> (c1_1 (a524)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H10a zenon_Hc4 zenon_H79 zenon_H32 zenon_H33 zenon_H3d zenon_H7b zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.71/0.90 apply (zenon_L70_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.71/0.90 apply (zenon_L46_); trivial. % 0.71/0.90 apply (zenon_L76_); trivial. % 0.71/0.90 (* end of lemma zenon_L77_ *) % 0.71/0.90 assert (zenon_L78_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a502))) -> (c2_1 (a502)) -> (c3_1 (a502)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Haa zenon_H7 zenon_H112 zenon_H113 zenon_H114. % 0.71/0.90 generalize (zenon_Haa (a502)). zenon_intro zenon_H115. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_H6 | zenon_intro zenon_H116 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 0.71/0.90 exact (zenon_H112 zenon_H118). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.71/0.90 exact (zenon_H11a zenon_H113). % 0.71/0.90 exact (zenon_H119 zenon_H114). % 0.71/0.90 (* end of lemma zenon_L78_ *) % 0.71/0.90 assert (zenon_L79_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a502))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc3 zenon_Hc4 zenon_H114 zenon_H113 zenon_H112 zenon_Hb2 zenon_Hb1 zenon_Hb0. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.71/0.90 apply (zenon_L78_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.71/0.90 apply (zenon_L46_); trivial. % 0.71/0.90 apply (zenon_L47_); trivial. % 0.71/0.90 (* end of lemma zenon_L79_ *) % 0.71/0.90 assert (zenon_L80_ : ((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a502))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hd5 zenon_Hd3 zenon_H114 zenon_H113 zenon_H112 zenon_He8 zenon_He7 zenon_He6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.90 apply (zenon_L78_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.90 apply (zenon_L57_); trivial. % 0.71/0.90 apply (zenon_L49_); trivial. % 0.71/0.90 (* end of lemma zenon_L80_ *) % 0.71/0.90 assert (zenon_L81_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H11b zenon_Hd2 zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_Ha6 zenon_H79 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.71/0.90 apply (zenon_L42_); trivial. % 0.71/0.90 apply (zenon_L79_); trivial. % 0.71/0.90 apply (zenon_L80_); trivial. % 0.71/0.90 (* end of lemma zenon_L81_ *) % 0.71/0.90 assert (zenon_L82_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H11f zenon_H7b zenon_Ha6 zenon_H79 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.90 apply (zenon_L64_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.71/0.90 apply (zenon_L42_); trivial. % 0.71/0.90 apply (zenon_L67_); trivial. % 0.71/0.90 apply (zenon_L72_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.71/0.90 apply (zenon_L74_); trivial. % 0.71/0.90 apply (zenon_L77_); trivial. % 0.71/0.90 apply (zenon_L81_); trivial. % 0.71/0.90 (* end of lemma zenon_L82_ *) % 0.71/0.90 assert (zenon_L83_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H120 zenon_H7 zenon_H121 zenon_H122 zenon_H123. % 0.71/0.90 generalize (zenon_H120 (a493)). zenon_intro zenon_H124. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H6 | zenon_intro zenon_H125 ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ]. % 0.71/0.90 exact (zenon_H121 zenon_H127). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.71/0.90 exact (zenon_H122 zenon_H129). % 0.71/0.90 exact (zenon_H128 zenon_H123). % 0.71/0.90 (* end of lemma zenon_L83_ *) % 0.71/0.90 assert (zenon_L84_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H12a zenon_H7 zenon_H32 zenon_H33 zenon_H3d. % 0.71/0.90 generalize (zenon_H12a (a503)). zenon_intro zenon_H12b. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_H6 | zenon_intro zenon_H12c ]. % 0.71/0.90 exact (zenon_H6 zenon_H7). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H39 | zenon_intro zenon_Had ]. % 0.71/0.90 exact (zenon_H32 zenon_H39). % 0.71/0.90 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H38 | zenon_intro zenon_H47 ]. % 0.71/0.90 exact (zenon_H38 zenon_H33). % 0.71/0.90 exact (zenon_H47 zenon_H3d). % 0.71/0.90 (* end of lemma zenon_L84_ *) % 0.71/0.90 assert (zenon_L85_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (~(hskp8)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H4a zenon_H12d zenon_H123 zenon_H122 zenon_H121 zenon_Hef. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H120 | zenon_intro zenon_H12e ]. % 0.71/0.90 apply (zenon_L83_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12a | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L84_); trivial. % 0.71/0.90 exact (zenon_Hef zenon_Hf0). % 0.71/0.90 (* end of lemma zenon_L85_ *) % 0.71/0.90 assert (zenon_L86_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hd9 zenon_H12d zenon_Hef zenon_H123 zenon_H122 zenon_H121 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.91 apply (zenon_L64_); trivial. % 0.71/0.91 apply (zenon_L85_); trivial. % 0.71/0.91 (* end of lemma zenon_L86_ *) % 0.71/0.91 assert (zenon_L87_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (~(c0_1 (a502))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H12a zenon_H7 zenon_H12f zenon_H112 zenon_H114 zenon_H113. % 0.71/0.91 generalize (zenon_H12a (a502)). zenon_intro zenon_H130. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H130); [ zenon_intro zenon_H6 | zenon_intro zenon_H131 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H132 | zenon_intro zenon_H117 ]. % 0.71/0.91 generalize (zenon_H12f (a502)). zenon_intro zenon_H133. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_H6 | zenon_intro zenon_H134 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H118 | zenon_intro zenon_H135 ]. % 0.71/0.91 exact (zenon_H112 zenon_H118). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H136 | zenon_intro zenon_H119 ]. % 0.71/0.91 exact (zenon_H136 zenon_H132). % 0.71/0.91 exact (zenon_H119 zenon_H114). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.71/0.91 exact (zenon_H11a zenon_H113). % 0.71/0.91 exact (zenon_H119 zenon_H114). % 0.71/0.91 (* end of lemma zenon_L87_ *) % 0.71/0.91 assert (zenon_L88_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (c2_1 (a502)) -> (c3_1 (a502)) -> (~(c0_1 (a502))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H12d zenon_H123 zenon_H122 zenon_H121 zenon_H113 zenon_H114 zenon_H112 zenon_H12f zenon_H7 zenon_Hef. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H120 | zenon_intro zenon_H12e ]. % 0.71/0.91 apply (zenon_L83_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12a | zenon_intro zenon_Hf0 ]. % 0.71/0.91 apply (zenon_L87_); trivial. % 0.71/0.91 exact (zenon_Hef zenon_Hf0). % 0.71/0.91 (* end of lemma zenon_L88_ *) % 0.71/0.91 assert (zenon_L89_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H9e zenon_H11e zenon_H137 zenon_H5e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H121 zenon_H122 zenon_H123 zenon_Hef zenon_H12d zenon_Hd9. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.71/0.91 apply (zenon_L86_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H81 | zenon_intro zenon_H138 ]. % 0.71/0.91 apply (zenon_L35_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H12f | zenon_intro zenon_H5f ]. % 0.71/0.91 apply (zenon_L88_); trivial. % 0.71/0.91 exact (zenon_H5e zenon_H5f). % 0.71/0.91 (* end of lemma zenon_L89_ *) % 0.71/0.91 assert (zenon_L90_ : (~(hskp4)) -> (hskp4) -> False). % 0.71/0.91 do 0 intro. intros zenon_H139 zenon_H13a. % 0.71/0.91 exact (zenon_H139 zenon_H13a). % 0.71/0.91 (* end of lemma zenon_L90_ *) % 0.71/0.91 assert (zenon_L91_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (c3_1 (a492)) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(hskp4)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H9e zenon_H13b zenon_H13c zenon_H13d zenon_H13e zenon_H139. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H81 | zenon_intro zenon_H13f ]. % 0.71/0.91 apply (zenon_L35_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H140 | zenon_intro zenon_H13a ]. % 0.71/0.91 generalize (zenon_H140 (a492)). zenon_intro zenon_H141. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H141); [ zenon_intro zenon_H6 | zenon_intro zenon_H142 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.71/0.91 exact (zenon_H13e zenon_H144). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.71/0.91 exact (zenon_H146 zenon_H13d). % 0.71/0.91 exact (zenon_H145 zenon_H13c). % 0.71/0.91 exact (zenon_H139 zenon_H13a). % 0.71/0.91 (* end of lemma zenon_L91_ *) % 0.71/0.91 assert (zenon_L92_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H13b zenon_H139 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H3a zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L82_); trivial. % 0.71/0.91 apply (zenon_L91_); trivial. % 0.71/0.91 (* end of lemma zenon_L92_ *) % 0.71/0.91 assert (zenon_L93_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.91 apply (zenon_L64_); trivial. % 0.71/0.91 apply (zenon_L50_); trivial. % 0.71/0.91 (* end of lemma zenon_L93_ *) % 0.71/0.91 assert (zenon_L94_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hd4 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7b zenon_H79 zenon_Ha6 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_Hd2 zenon_Hd9. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.71/0.91 apply (zenon_L93_); trivial. % 0.71/0.91 apply (zenon_L81_); trivial. % 0.71/0.91 (* end of lemma zenon_L94_ *) % 0.71/0.91 assert (zenon_L95_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H13b zenon_H139 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_Ha6 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L94_); trivial. % 0.71/0.91 apply (zenon_L91_); trivial. % 0.71/0.91 (* end of lemma zenon_L95_ *) % 0.71/0.91 assert (zenon_L96_ : (forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hc8 zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.71/0.91 generalize (zenon_Hc8 (a475)). zenon_intro zenon_H14e. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H6 | zenon_intro zenon_H14f ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 0.71/0.91 generalize (zenon_H14a (a475)). zenon_intro zenon_H152. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H152); [ zenon_intro zenon_H6 | zenon_intro zenon_H153 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 0.71/0.91 exact (zenon_H14b zenon_H155). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 0.71/0.91 exact (zenon_H157 zenon_H14c). % 0.71/0.91 exact (zenon_H156 zenon_H151). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H157 | zenon_intro zenon_H158 ]. % 0.71/0.91 exact (zenon_H157 zenon_H14c). % 0.71/0.91 exact (zenon_H158 zenon_H14d). % 0.71/0.91 (* end of lemma zenon_L96_ *) % 0.71/0.91 assert (zenon_L97_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (~(hskp26)) -> (~(hskp10)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_Hc8 zenon_Hfb zenon_H51. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H14a | zenon_intro zenon_H15a ]. % 0.71/0.91 apply (zenon_L96_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hfc | zenon_intro zenon_H52 ]. % 0.71/0.91 exact (zenon_Hfb zenon_Hfc). % 0.71/0.91 exact (zenon_H51 zenon_H52). % 0.71/0.91 (* end of lemma zenon_L97_ *) % 0.71/0.91 assert (zenon_L98_ : ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp10)) -> (~(hskp26)) -> (ndr1_0) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp15)) -> (~(hskp2)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H15b zenon_H51 zenon_Hfb zenon_H7 zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_Hf1 zenon_H48. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H15c ]. % 0.71/0.91 apply (zenon_L97_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H49 ]. % 0.71/0.91 exact (zenon_Hf1 zenon_Hf2). % 0.71/0.91 exact (zenon_H48 zenon_H49). % 0.71/0.91 (* end of lemma zenon_L98_ *) % 0.71/0.91 assert (zenon_L99_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp4)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H10a zenon_H15d zenon_H84 zenon_H83 zenon_H82 zenon_H139. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H81 | zenon_intro zenon_H15e ]. % 0.71/0.91 apply (zenon_L35_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H13a ]. % 0.71/0.91 generalize (zenon_H15f (a470)). zenon_intro zenon_H160. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H160); [ zenon_intro zenon_H6 | zenon_intro zenon_H161 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H111 | zenon_intro zenon_H104 ]. % 0.71/0.91 exact (zenon_H111 zenon_H10d). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 0.71/0.91 exact (zenon_H107 zenon_H100). % 0.71/0.91 exact (zenon_H106 zenon_H101). % 0.71/0.91 exact (zenon_H139 zenon_H13a). % 0.71/0.91 (* end of lemma zenon_L99_ *) % 0.71/0.91 assert (zenon_L100_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp15)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H9e zenon_H11f zenon_H15d zenon_H139 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hf1 zenon_H48 zenon_H15b. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.71/0.91 apply (zenon_L98_); trivial. % 0.71/0.91 apply (zenon_L99_); trivial. % 0.71/0.91 (* end of lemma zenon_L100_ *) % 0.71/0.91 assert (zenon_L101_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H3a zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L82_); trivial. % 0.71/0.91 apply (zenon_L52_); trivial. % 0.71/0.91 (* end of lemma zenon_L101_ *) % 0.71/0.91 assert (zenon_L102_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H3a zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_Hf9 zenon_H11e zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_L101_); trivial. % 0.71/0.91 (* end of lemma zenon_L102_ *) % 0.71/0.91 assert (zenon_L103_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_L102_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 (* end of lemma zenon_L103_ *) % 0.71/0.91 assert (zenon_L104_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp15)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Ha3 zenon_H11f zenon_H15d zenon_H139 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hf1 zenon_H48 zenon_H15b zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_Ha6 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L94_); trivial. % 0.71/0.91 apply (zenon_L100_); trivial. % 0.71/0.91 (* end of lemma zenon_L104_ *) % 0.71/0.91 assert (zenon_L105_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_Hd4 zenon_Hc4 zenon_H7b zenon_Ha6 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L94_); trivial. % 0.71/0.91 apply (zenon_L52_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 (* end of lemma zenon_L105_ *) % 0.71/0.91 assert (zenon_L106_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a475))/\((c1_1 (a475))/\(~(c3_1 (a475))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H162 zenon_H15d zenon_H159 zenon_H48 zenon_H15b zenon_H9f zenon_He1 zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H163 zenon_Ha3 zenon_H137 zenon_H5e zenon_H12d zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_Hf9 zenon_H11e zenon_Hf5 zenon_H139 zenon_H13b zenon_H164 zenon_Hdb zenon_He5. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.91 apply (zenon_L62_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L82_); trivial. % 0.71/0.91 apply (zenon_L89_); trivial. % 0.71/0.91 apply (zenon_L92_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.91 apply (zenon_L62_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L94_); trivial. % 0.71/0.91 apply (zenon_L89_); trivial. % 0.71/0.91 apply (zenon_L95_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L82_); trivial. % 0.71/0.91 apply (zenon_L100_); trivial. % 0.71/0.91 apply (zenon_L92_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 apply (zenon_L103_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.91 apply (zenon_L104_); trivial. % 0.71/0.91 apply (zenon_L95_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 apply (zenon_L105_); trivial. % 0.71/0.91 (* end of lemma zenon_L106_ *) % 0.71/0.91 assert (zenon_L107_ : ((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H16b zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_Hc. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.71/0.91 apply (zenon_L11_); trivial. % 0.71/0.91 (* end of lemma zenon_L107_ *) % 0.71/0.91 assert (zenon_L108_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp5)) -> ((hskp5)\/(hskp11)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H16e zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_Hc zenon_H1 zenon_H5. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.71/0.91 apply (zenon_L3_); trivial. % 0.71/0.91 apply (zenon_L107_); trivial. % 0.71/0.91 (* end of lemma zenon_L108_ *) % 0.71/0.91 assert (zenon_L109_ : (forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H16f zenon_H7 zenon_H170 zenon_H171 zenon_H172. % 0.71/0.91 generalize (zenon_H16f (a468)). zenon_intro zenon_H173. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_H6 | zenon_intro zenon_H174 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H176 | zenon_intro zenon_H175 ]. % 0.71/0.91 exact (zenon_H170 zenon_H176). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H178 | zenon_intro zenon_H177 ]. % 0.71/0.91 exact (zenon_H178 zenon_H171). % 0.71/0.91 exact (zenon_H177 zenon_H172). % 0.71/0.91 (* end of lemma zenon_L109_ *) % 0.71/0.91 assert (zenon_L110_ : (~(hskp28)) -> (hskp28) -> False). % 0.71/0.91 do 0 intro. intros zenon_H179 zenon_H17a. % 0.71/0.91 exact (zenon_H179 zenon_H17a). % 0.71/0.91 (* end of lemma zenon_L110_ *) % 0.71/0.91 assert (zenon_L111_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H17b zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H172 zenon_H171 zenon_H170 zenon_H7 zenon_H179. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H8b | zenon_intro zenon_H17c ]. % 0.71/0.91 apply (zenon_L46_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H16f | zenon_intro zenon_H17a ]. % 0.71/0.91 apply (zenon_L109_); trivial. % 0.71/0.91 exact (zenon_H179 zenon_H17a). % 0.71/0.91 (* end of lemma zenon_L111_ *) % 0.71/0.91 assert (zenon_L112_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a467))) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a467)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H17d zenon_H7 zenon_H17e zenon_Haa zenon_H17f. % 0.71/0.91 generalize (zenon_H17d (a467)). zenon_intro zenon_H180. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H180); [ zenon_intro zenon_H6 | zenon_intro zenon_H181 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.71/0.91 exact (zenon_H17e zenon_H183). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H185 | zenon_intro zenon_H184 ]. % 0.71/0.91 generalize (zenon_Haa (a467)). zenon_intro zenon_H186. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H186); [ zenon_intro zenon_H6 | zenon_intro zenon_H187 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H183 | zenon_intro zenon_H188 ]. % 0.71/0.91 exact (zenon_H17e zenon_H183). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H189 | zenon_intro zenon_H184 ]. % 0.71/0.91 exact (zenon_H189 zenon_H185). % 0.71/0.91 exact (zenon_H184 zenon_H17f). % 0.71/0.91 exact (zenon_H184 zenon_H17f). % 0.71/0.91 (* end of lemma zenon_L112_ *) % 0.71/0.91 assert (zenon_L113_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (c0_1 (a490)) -> (c1_1 (a490)) -> (c2_1 (a490)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H18a zenon_H7 zenon_H18b zenon_H18c zenon_H18d. % 0.71/0.91 generalize (zenon_H18a (a490)). zenon_intro zenon_H18e. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_H6 | zenon_intro zenon_H18f ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ]. % 0.71/0.91 exact (zenon_H191 zenon_H18b). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ]. % 0.71/0.91 exact (zenon_H193 zenon_H18c). % 0.71/0.91 exact (zenon_H192 zenon_H18d). % 0.71/0.91 (* end of lemma zenon_L113_ *) % 0.71/0.91 assert (zenon_L114_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (c2_1 (a490)) -> (c1_1 (a490)) -> (c0_1 (a490)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H194 zenon_H17f zenon_H17e zenon_H17d zenon_H18d zenon_H18c zenon_H18b zenon_H7 zenon_H51. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Haa | zenon_intro zenon_H195 ]. % 0.71/0.91 apply (zenon_L112_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18a | zenon_intro zenon_H52 ]. % 0.71/0.91 apply (zenon_L113_); trivial. % 0.71/0.91 exact (zenon_H51 zenon_H52). % 0.71/0.91 (* end of lemma zenon_L114_ *) % 0.71/0.91 assert (zenon_L115_ : ((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H196 zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H51. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H7. zenon_intro zenon_H198. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18b. zenon_intro zenon_H199. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18c. zenon_intro zenon_H18d. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.71/0.91 apply (zenon_L114_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18a | zenon_intro zenon_H52 ]. % 0.71/0.91 apply (zenon_L113_); trivial. % 0.71/0.91 exact (zenon_H51 zenon_H52). % 0.71/0.91 (* end of lemma zenon_L115_ *) % 0.71/0.91 assert (zenon_L116_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hde zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H51 zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.71/0.91 apply (zenon_L111_); trivial. % 0.71/0.91 apply (zenon_L115_); trivial. % 0.71/0.91 (* end of lemma zenon_L116_ *) % 0.71/0.91 assert (zenon_L117_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H51 zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_L58_); trivial. % 0.71/0.91 apply (zenon_L116_); trivial. % 0.71/0.91 (* end of lemma zenon_L117_ *) % 0.71/0.91 assert (zenon_L118_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H194 zenon_H51 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hdb. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_L117_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 (* end of lemma zenon_L118_ *) % 0.71/0.91 assert (zenon_L119_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_He1 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.91 apply (zenon_L118_); trivial. % 0.71/0.91 apply (zenon_L103_); trivial. % 0.71/0.91 (* end of lemma zenon_L119_ *) % 0.71/0.91 assert (zenon_L120_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H19b zenon_He5 zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H194 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hdb zenon_Ha3 zenon_H9f zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_Hf9 zenon_H11e zenon_He1. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.71/0.91 apply (zenon_L119_); trivial. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.91 apply (zenon_L118_); trivial. % 0.71/0.91 apply (zenon_L105_); trivial. % 0.71/0.91 (* end of lemma zenon_L120_ *) % 0.71/0.91 assert (zenon_L121_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H12f zenon_H7 zenon_H19e zenon_H19f zenon_H1a0. % 0.71/0.91 generalize (zenon_H12f (a466)). zenon_intro zenon_H1a1. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_H6 | zenon_intro zenon_H1a2 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.71/0.91 exact (zenon_H19e zenon_H1a4). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.71/0.91 exact (zenon_H1a6 zenon_H19f). % 0.71/0.91 exact (zenon_H1a5 zenon_H1a0). % 0.71/0.91 (* end of lemma zenon_L121_ *) % 0.71/0.91 assert (zenon_L122_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a512)) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41)))))) -> (~(c1_1 (a512))) -> (c3_1 (a512)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H6f zenon_H7 zenon_H56 zenon_H1a7 zenon_H55 zenon_H57. % 0.71/0.91 generalize (zenon_H6f (a512)). zenon_intro zenon_H1a8. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1a8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1a9 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H5d | zenon_intro zenon_H1aa ]. % 0.71/0.91 exact (zenon_H5d zenon_H56). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H5c ]. % 0.71/0.91 generalize (zenon_H1a7 (a512)). zenon_intro zenon_H1ac. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H6 | zenon_intro zenon_H1ad ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H5b | zenon_intro zenon_H1ae ]. % 0.71/0.91 exact (zenon_H55 zenon_H5b). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1af | zenon_intro zenon_H5d ]. % 0.71/0.91 exact (zenon_H1ab zenon_H1af). % 0.71/0.91 exact (zenon_H5d zenon_H56). % 0.71/0.91 exact (zenon_H5c zenon_H57). % 0.71/0.91 (* end of lemma zenon_L122_ *) % 0.71/0.91 assert (zenon_L123_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c3_1 (a512)) -> (~(c1_1 (a512))) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41)))))) -> (c0_1 (a512)) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H57 zenon_H55 zenon_H1a7 zenon_H56 zenon_H7 zenon_H7d. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.91 apply (zenon_L121_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.91 apply (zenon_L122_); trivial. % 0.71/0.91 exact (zenon_H7d zenon_H7e). % 0.71/0.91 (* end of lemma zenon_L123_ *) % 0.71/0.91 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp14)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H60 zenon_H1b2 zenon_H7d zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_Hf3 zenon_H79. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H7. zenon_intro zenon_H62. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H56. zenon_intro zenon_H63. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H57. zenon_intro zenon_H55. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b3 ]. % 0.71/0.91 apply (zenon_L123_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H7a ]. % 0.71/0.91 exact (zenon_Hf3 zenon_Hf4). % 0.71/0.91 exact (zenon_H79 zenon_H7a). % 0.71/0.91 (* end of lemma zenon_L124_ *) % 0.71/0.91 assert (zenon_L125_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H65 zenon_H1b2 zenon_H79 zenon_Hf3 zenon_H19e zenon_H19f zenon_H1a0 zenon_H7d zenon_H1b0 zenon_H51 zenon_H2c zenon_H53. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H60 ]. % 0.71/0.91 apply (zenon_L22_); trivial. % 0.71/0.91 apply (zenon_L124_); trivial. % 0.71/0.91 (* end of lemma zenon_L125_ *) % 0.71/0.91 assert (zenon_L126_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a466))) -> (forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H17d zenon_H7 zenon_H19e zenon_H15f zenon_H19f zenon_H1a0. % 0.71/0.91 generalize (zenon_H17d (a466)). zenon_intro zenon_H1b4. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1b4); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b5 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b6 ]. % 0.71/0.91 exact (zenon_H19e zenon_H1a4). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1a5 ]. % 0.71/0.91 generalize (zenon_H15f (a466)). zenon_intro zenon_H1b8. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b9 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ba ]. % 0.71/0.91 exact (zenon_H1a6 zenon_H19f). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1a5 ]. % 0.71/0.91 exact (zenon_H1bb zenon_H1b7). % 0.71/0.91 exact (zenon_H1a5 zenon_H1a0). % 0.71/0.91 exact (zenon_H1a5 zenon_H1a0). % 0.71/0.91 (* end of lemma zenon_L126_ *) % 0.71/0.91 assert (zenon_L127_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(c0_1 (a466))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H1bc zenon_H1a0 zenon_H19f zenon_H15f zenon_H19e zenon_H3d zenon_H33 zenon_H6f zenon_H7 zenon_H3a. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.71/0.91 apply (zenon_L126_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.71/0.91 apply (zenon_L44_); trivial. % 0.71/0.91 exact (zenon_H3a zenon_H3b). % 0.71/0.91 (* end of lemma zenon_L127_ *) % 0.71/0.91 assert (zenon_L128_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp4)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H4a zenon_H15d zenon_H84 zenon_H83 zenon_H82 zenon_H7d zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H3a zenon_H1b0 zenon_H139. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H81 | zenon_intro zenon_H15e ]. % 0.71/0.91 apply (zenon_L35_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H13a ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.91 apply (zenon_L121_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.91 apply (zenon_L127_); trivial. % 0.71/0.91 exact (zenon_H7d zenon_H7e). % 0.71/0.91 exact (zenon_H139 zenon_H13a). % 0.71/0.91 (* end of lemma zenon_L128_ *) % 0.71/0.91 assert (zenon_L129_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1bc zenon_H3a zenon_H7d zenon_H1b0 zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.91 apply (zenon_L14_); trivial. % 0.71/0.91 apply (zenon_L128_); trivial. % 0.71/0.91 (* end of lemma zenon_L129_ *) % 0.71/0.91 assert (zenon_L130_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H1be zenon_H123 zenon_H122 zenon_H121 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H6f zenon_H33 zenon_H3d. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.71/0.91 apply (zenon_L83_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.71/0.91 apply (zenon_L121_); trivial. % 0.71/0.91 apply (zenon_L44_); trivial. % 0.71/0.91 (* end of lemma zenon_L130_ *) % 0.71/0.91 assert (zenon_L131_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp17)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H4a zenon_H7b zenon_H19e zenon_H19f zenon_H1a0 zenon_H121 zenon_H122 zenon_H123 zenon_H1be zenon_H79. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.71/0.91 apply (zenon_L83_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.71/0.91 apply (zenon_L121_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.71/0.91 apply (zenon_L43_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.71/0.91 apply (zenon_L130_); trivial. % 0.71/0.91 exact (zenon_H79 zenon_H7a). % 0.71/0.91 (* end of lemma zenon_L131_ *) % 0.71/0.91 assert (zenon_L132_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hd9 zenon_H1be zenon_H79 zenon_H7b zenon_H1a0 zenon_H19f zenon_H19e zenon_H123 zenon_H122 zenon_H121 zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.91 apply (zenon_L14_); trivial. % 0.71/0.91 apply (zenon_L131_); trivial. % 0.71/0.91 (* end of lemma zenon_L132_ *) % 0.71/0.91 assert (zenon_L133_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H15d zenon_H139 zenon_H1bc zenon_H3a zenon_H7d zenon_H1b0 zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L132_); trivial. % 0.71/0.91 apply (zenon_L129_); trivial. % 0.71/0.91 (* end of lemma zenon_L133_ *) % 0.71/0.91 assert (zenon_L134_ : (~(hskp7)) -> (hskp7) -> False). % 0.71/0.91 do 0 intro. intros zenon_H1c0 zenon_H1c1. % 0.71/0.91 exact (zenon_H1c0 zenon_H1c1). % 0.71/0.91 (* end of lemma zenon_L134_ *) % 0.71/0.91 assert (zenon_L135_ : ((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp7)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H196 zenon_H1c2 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1c0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H7. zenon_intro zenon_H198. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18b. zenon_intro zenon_H199. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18c. zenon_intro zenon_H18d. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H12f | zenon_intro zenon_H1c3 ]. % 0.71/0.91 apply (zenon_L121_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H18a | zenon_intro zenon_H1c1 ]. % 0.71/0.91 apply (zenon_L113_); trivial. % 0.71/0.91 exact (zenon_H1c0 zenon_H1c1). % 0.71/0.91 (* end of lemma zenon_L135_ *) % 0.71/0.91 assert (zenon_L136_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hde zenon_H19a zenon_H1c2 zenon_H1c0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H170 zenon_H171 zenon_H172 zenon_H17b. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.71/0.91 apply (zenon_L111_); trivial. % 0.71/0.91 apply (zenon_L135_); trivial. % 0.71/0.91 (* end of lemma zenon_L136_ *) % 0.71/0.91 assert (zenon_L137_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H163 zenon_H7b zenon_H1be zenon_H65 zenon_H1b2 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H51 zenon_H2c zenon_H53 zenon_H2e zenon_H3a zenon_H1bc zenon_H139 zenon_H15d zenon_Hd9 zenon_Ha3 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H1c0 zenon_H1c2 zenon_H19a zenon_Hdb. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L125_); trivial. % 0.71/0.91 apply (zenon_L129_); trivial. % 0.71/0.91 apply (zenon_L133_); trivial. % 0.71/0.91 apply (zenon_L136_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 (* end of lemma zenon_L137_ *) % 0.71/0.91 assert (zenon_L138_ : ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c2_1 (a477)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp8))) -> (~(hskp0)) -> (~(hskp12)) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hc zenon_Hef zenon_H7 zenon_H95 zenon_H97 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1c4 zenon_H8 zenon_Ha. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H12f | zenon_intro zenon_H1c5 ]. % 0.71/0.91 apply (zenon_L121_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H14a | zenon_intro zenon_Hf0 ]. % 0.71/0.91 generalize (zenon_H14a (a477)). zenon_intro zenon_H1c6. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_H6 | zenon_intro zenon_H1c7 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H9b | zenon_intro zenon_H1c8 ]. % 0.71/0.91 exact (zenon_H95 zenon_H9b). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H9c ]. % 0.71/0.91 generalize (zenon_H11 (a477)). zenon_intro zenon_H1ca. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1ca); [ zenon_intro zenon_H6 | zenon_intro zenon_H1cb ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cc ]. % 0.71/0.91 exact (zenon_H1c9 zenon_H1cd). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H9b | zenon_intro zenon_H9c ]. % 0.71/0.91 exact (zenon_H95 zenon_H9b). % 0.71/0.91 exact (zenon_H9c zenon_H97). % 0.71/0.91 exact (zenon_H9c zenon_H97). % 0.71/0.91 exact (zenon_Hef zenon_Hf0). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb ]. % 0.71/0.91 exact (zenon_H8 zenon_H9). % 0.71/0.91 exact (zenon_Ha zenon_Hb). % 0.71/0.91 (* end of lemma zenon_L138_ *) % 0.71/0.91 assert (zenon_L139_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H1c4 zenon_Hef zenon_H1a0 zenon_H19f zenon_H19e zenon_H8 zenon_Hc. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_L138_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 (* end of lemma zenon_L139_ *) % 0.71/0.91 assert (zenon_L140_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_He1 zenon_H1c4 zenon_Hef zenon_Hc zenon_Hdb zenon_H19a zenon_H1c2 zenon_H1c0 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Ha3 zenon_Hd9 zenon_H15d zenon_H139 zenon_H1bc zenon_H3a zenon_H2e zenon_H53 zenon_H2c zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1b2 zenon_H65 zenon_H1be zenon_H7b zenon_H163 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.91 apply (zenon_L137_); trivial. % 0.71/0.91 apply (zenon_L139_); trivial. % 0.71/0.91 (* end of lemma zenon_L140_ *) % 0.71/0.91 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H166 zenon_Hd9 zenon_H12d zenon_Hef zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.91 apply (zenon_L14_); trivial. % 0.71/0.91 apply (zenon_L85_); trivial. % 0.71/0.91 (* end of lemma zenon_L141_ *) % 0.71/0.91 assert (zenon_L142_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp8)) -> (~(hskp15)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H163 zenon_Hd9 zenon_H12d zenon_H2c zenon_Ha zenon_H2e zenon_Hef zenon_Hf1 zenon_Hf5. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.91 apply (zenon_L62_); trivial. % 0.71/0.91 apply (zenon_L141_); trivial. % 0.71/0.91 (* end of lemma zenon_L142_ *) % 0.71/0.91 assert (zenon_L143_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a492)) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H13b zenon_H139 zenon_H13c zenon_H13d zenon_H13e zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L132_); trivial. % 0.71/0.91 apply (zenon_L91_); trivial. % 0.71/0.91 (* end of lemma zenon_L143_ *) % 0.71/0.91 assert (zenon_L144_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H147 zenon_H163 zenon_H2e zenon_Ha zenon_H7b zenon_H1be zenon_Hd9 zenon_H65 zenon_H1b2 zenon_H19e zenon_H19f zenon_H1a0 zenon_H7d zenon_H1b0 zenon_H51 zenon_H2c zenon_H53 zenon_H139 zenon_H13b zenon_Ha3. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L125_); trivial. % 0.71/0.91 apply (zenon_L91_); trivial. % 0.71/0.91 apply (zenon_L143_); trivial. % 0.71/0.91 (* end of lemma zenon_L144_ *) % 0.71/0.91 assert (zenon_L145_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(c0_1 (a466))) -> (c2_1 (a490)) -> (c1_1 (a490)) -> (c0_1 (a490)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H197 zenon_H1a0 zenon_H19f zenon_H15f zenon_H19e zenon_H18d zenon_H18c zenon_H18b zenon_H7 zenon_H51. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.71/0.91 apply (zenon_L126_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18a | zenon_intro zenon_H52 ]. % 0.71/0.91 apply (zenon_L113_); trivial. % 0.71/0.91 exact (zenon_H51 zenon_H52). % 0.71/0.91 (* end of lemma zenon_L145_ *) % 0.71/0.91 assert (zenon_L146_ : ((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp10)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp4)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H196 zenon_H15d zenon_H84 zenon_H83 zenon_H82 zenon_H51 zenon_H19e zenon_H19f zenon_H1a0 zenon_H197 zenon_H139. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H7. zenon_intro zenon_H198. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18b. zenon_intro zenon_H199. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18c. zenon_intro zenon_H18d. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H81 | zenon_intro zenon_H15e ]. % 0.71/0.91 apply (zenon_L35_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H13a ]. % 0.71/0.91 apply (zenon_L145_); trivial. % 0.71/0.91 exact (zenon_H139 zenon_H13a). % 0.71/0.91 (* end of lemma zenon_L146_ *) % 0.71/0.91 assert (zenon_L147_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H9e zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H51 zenon_H197 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H170 zenon_H171 zenon_H172 zenon_H17b. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.71/0.91 apply (zenon_L111_); trivial. % 0.71/0.91 apply (zenon_L146_); trivial. % 0.71/0.91 (* end of lemma zenon_L147_ *) % 0.71/0.91 assert (zenon_L148_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H51 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H2e zenon_Ha zenon_H2c zenon_Hd4 zenon_Hc4 zenon_H7b zenon_Ha6 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_Hd2 zenon_Hd9. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.91 apply (zenon_L51_); trivial. % 0.71/0.91 apply (zenon_L147_); trivial. % 0.71/0.91 (* end of lemma zenon_L148_ *) % 0.71/0.91 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp8))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.91 do 0 intro. intros zenon_He2 zenon_He1 zenon_H1c4 zenon_Hc zenon_Hdb zenon_H19a zenon_H15d zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd4 zenon_Hc4 zenon_Ha6 zenon_Hd3 zenon_Hd2 zenon_H163 zenon_Hd9 zenon_H12d zenon_H2c zenon_H2e zenon_Hef zenon_Hf5 zenon_Ha3 zenon_H13b zenon_H139 zenon_H53 zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1b2 zenon_H65 zenon_H1be zenon_H7b zenon_H164 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.91 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.91 apply (zenon_L142_); trivial. % 0.71/0.91 apply (zenon_L144_); trivial. % 0.71/0.91 apply (zenon_L148_); trivial. % 0.71/0.91 apply (zenon_L10_); trivial. % 0.71/0.91 apply (zenon_L139_); trivial. % 0.71/0.91 (* end of lemma zenon_L149_ *) % 0.71/0.91 assert (zenon_L150_ : (forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18)))))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c3_1 (a475))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H1ce zenon_H7 zenon_H18a zenon_H14c zenon_H14d zenon_H14b. % 0.71/0.91 generalize (zenon_H1ce (a475)). zenon_intro zenon_H1cf. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1cf); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d0 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H151 | zenon_intro zenon_H1d1 ]. % 0.71/0.91 generalize (zenon_H18a (a475)). zenon_intro zenon_H1d2. % 0.71/0.91 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d3 ]. % 0.71/0.91 exact (zenon_H6 zenon_H7). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H157 | zenon_intro zenon_H1d4 ]. % 0.71/0.91 exact (zenon_H157 zenon_H14c). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H158 | zenon_intro zenon_H156 ]. % 0.71/0.91 exact (zenon_H158 zenon_H14d). % 0.71/0.91 exact (zenon_H156 zenon_H151). % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H155 | zenon_intro zenon_H158 ]. % 0.71/0.91 exact (zenon_H14b zenon_H155). % 0.71/0.91 exact (zenon_H158 zenon_H14d). % 0.71/0.91 (* end of lemma zenon_L150_ *) % 0.71/0.91 assert (zenon_L151_ : ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (~(c3_1 (a475))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18)))))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.71/0.91 do 0 intro. intros zenon_H1d5 zenon_H14b zenon_H14d zenon_H14c zenon_H18a zenon_H172 zenon_H171 zenon_H170 zenon_H7 zenon_H4f. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d6 ]. % 0.71/0.91 apply (zenon_L150_); trivial. % 0.71/0.91 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H16f | zenon_intro zenon_H50 ]. % 0.71/0.91 apply (zenon_L109_); trivial. % 0.71/0.91 exact (zenon_H4f zenon_H50). % 0.71/0.92 (* end of lemma zenon_L151_ *) % 0.71/0.92 assert (zenon_L152_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp21)) -> (ndr1_0) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (~(hskp7)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H1c2 zenon_H1a0 zenon_H19f zenon_H19e zenon_H4f zenon_H7 zenon_H170 zenon_H171 zenon_H172 zenon_H14c zenon_H14d zenon_H14b zenon_H1d5 zenon_H1c0. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H12f | zenon_intro zenon_H1c3 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H18a | zenon_intro zenon_H1c1 ]. % 0.71/0.92 apply (zenon_L151_); trivial. % 0.71/0.92 exact (zenon_H1c0 zenon_H1c1). % 0.71/0.92 (* end of lemma zenon_L152_ *) % 0.71/0.92 assert (zenon_L153_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c3_1 (a475))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H65 zenon_H1b2 zenon_H79 zenon_Hf3 zenon_H7d zenon_H1b0 zenon_H7 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1d5 zenon_H172 zenon_H171 zenon_H170 zenon_H14b zenon_H14d zenon_H14c zenon_H1c0 zenon_H1c2. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H60 ]. % 0.71/0.92 apply (zenon_L152_); trivial. % 0.71/0.92 apply (zenon_L124_); trivial. % 0.71/0.92 (* end of lemma zenon_L153_ *) % 0.71/0.92 assert (zenon_L154_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c3_1 (a475))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Ha zenon_H7f zenon_H1c2 zenon_H1c0 zenon_H14c zenon_H14d zenon_H14b zenon_H170 zenon_H171 zenon_H172 zenon_H1d5 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H1b0 zenon_H7d zenon_Hf3 zenon_H1b2 zenon_H65. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L153_); trivial. % 0.71/0.92 apply (zenon_L39_); trivial. % 0.71/0.92 (* end of lemma zenon_L154_ *) % 0.71/0.92 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7d zenon_H7f zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L132_); trivial. % 0.71/0.92 apply (zenon_L39_); trivial. % 0.71/0.92 (* end of lemma zenon_L155_ *) % 0.71/0.92 assert (zenon_L156_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c3_1 (a475))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hdb zenon_H19a zenon_H17b zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Ha zenon_H7f zenon_H1c2 zenon_H1c0 zenon_H14c zenon_H14d zenon_H14b zenon_H170 zenon_H171 zenon_H172 zenon_H1d5 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H1b0 zenon_H1b2 zenon_H65 zenon_Hd9 zenon_H1be zenon_H7b zenon_H2c zenon_H2e zenon_H163. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.92 apply (zenon_L154_); trivial. % 0.71/0.92 apply (zenon_L155_); trivial. % 0.71/0.92 apply (zenon_L136_); trivial. % 0.71/0.92 (* end of lemma zenon_L156_ *) % 0.71/0.92 assert (zenon_L157_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c3_1 (a475))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H163 zenon_H2e zenon_H2c zenon_H7b zenon_H1be zenon_Hd9 zenon_H65 zenon_H1b2 zenon_H1b0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1d5 zenon_H172 zenon_H171 zenon_H170 zenon_H14b zenon_H14d zenon_H14c zenon_H1c0 zenon_H1c2 zenon_H7f zenon_H9f zenon_Ha3 zenon_H17b zenon_H19a zenon_Hdb. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.92 apply (zenon_L156_); trivial. % 0.71/0.92 apply (zenon_L10_); trivial. % 0.71/0.92 (* end of lemma zenon_L157_ *) % 0.71/0.92 assert (zenon_L158_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (~(c3_1 (a475))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_He1 zenon_H1d5 zenon_H14b zenon_H14d zenon_H14c zenon_H7f zenon_H9f zenon_Hdb zenon_H19a zenon_H1c2 zenon_H1c0 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Ha3 zenon_Hd9 zenon_H15d zenon_H139 zenon_H1bc zenon_H3a zenon_H2e zenon_H53 zenon_H2c zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1b2 zenon_H65 zenon_H1be zenon_H7b zenon_H163 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.92 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.92 apply (zenon_L137_); trivial. % 0.71/0.92 apply (zenon_L157_); trivial. % 0.71/0.92 (* end of lemma zenon_L158_ *) % 0.71/0.92 assert (zenon_L159_ : (forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a473)) -> (c3_1 (a473)) -> (c1_1 (a473)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hc8 zenon_H7 zenon_H6f zenon_Hba zenon_Hbc zenon_Hbb. % 0.71/0.92 generalize (zenon_Hc8 (a473)). zenon_intro zenon_H1d7. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d8 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 0.71/0.92 generalize (zenon_H6f (a473)). zenon_intro zenon_H1db. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_H6 | zenon_intro zenon_H1dc ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1dd ]. % 0.71/0.92 exact (zenon_Hc0 zenon_Hba). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1de | zenon_intro zenon_Hc1 ]. % 0.71/0.92 exact (zenon_H1de zenon_H1da). % 0.71/0.92 exact (zenon_Hc1 zenon_Hbc). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc2 ]. % 0.71/0.92 exact (zenon_Hc0 zenon_Hba). % 0.71/0.92 exact (zenon_Hc2 zenon_Hbb). % 0.71/0.92 (* end of lemma zenon_L159_ *) % 0.71/0.92 assert (zenon_L160_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a473)) -> (c3_1 (a473)) -> (c1_1 (a473)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H6f zenon_Hba zenon_Hbc zenon_Hbb. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.92 apply (zenon_L44_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.92 apply (zenon_L30_); trivial. % 0.71/0.92 apply (zenon_L159_); trivial. % 0.71/0.92 (* end of lemma zenon_L160_ *) % 0.71/0.92 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp14)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hc3 zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H66 zenon_H67 zenon_H68 zenon_H33 zenon_H3d zenon_Hd3 zenon_H7d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.92 apply (zenon_L160_); trivial. % 0.71/0.92 exact (zenon_H7d zenon_H7e). % 0.71/0.92 (* end of lemma zenon_L161_ *) % 0.71/0.92 assert (zenon_L162_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd4 zenon_H1b0 zenon_H7d zenon_H33 zenon_H3d zenon_H66 zenon_H67 zenon_H68 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha7 zenon_H79 zenon_Ha6. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.71/0.92 apply (zenon_L42_); trivial. % 0.71/0.92 apply (zenon_L161_); trivial. % 0.71/0.92 (* end of lemma zenon_L162_ *) % 0.71/0.92 assert (zenon_L163_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(c2_1 (a524))) -> (c0_1 (a524)) -> (c1_1 (a524)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H68 zenon_H67 zenon_H6f zenon_H66 zenon_H7 zenon_Hc9 zenon_Hca zenon_Hcb. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.92 apply (zenon_L44_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.92 apply (zenon_L30_); trivial. % 0.71/0.92 apply (zenon_L49_); trivial. % 0.71/0.92 (* end of lemma zenon_L163_ *) % 0.71/0.92 assert (zenon_L164_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd9 zenon_Hd2 zenon_Ha6 zenon_H79 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H68 zenon_H67 zenon_H66 zenon_H7d zenon_H1b0 zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L14_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.71/0.92 apply (zenon_L162_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.92 apply (zenon_L163_); trivial. % 0.71/0.92 exact (zenon_H7d zenon_H7e). % 0.71/0.92 (* end of lemma zenon_L164_ *) % 0.71/0.92 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_H7f zenon_Hdb zenon_H19a zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hc4 zenon_Ha3 zenon_H11f zenon_H15d zenon_H139 zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H48 zenon_H15b zenon_H2e zenon_H2c zenon_Hd4 zenon_H1b0 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha6 zenon_Hd2 zenon_Hd9 zenon_H13b zenon_H53 zenon_H1b2 zenon_H65 zenon_H1be zenon_H7b zenon_H163 zenon_H164 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.92 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L164_); trivial. % 0.71/0.92 apply (zenon_L100_); trivial. % 0.71/0.92 apply (zenon_L144_); trivial. % 0.71/0.92 apply (zenon_L148_); trivial. % 0.71/0.92 apply (zenon_L10_); trivial. % 0.71/0.92 apply (zenon_L53_); trivial. % 0.71/0.92 (* end of lemma zenon_L165_ *) % 0.71/0.92 assert (zenon_L166_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41)))))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H17d zenon_H7 zenon_H1a7 zenon_H1df zenon_H1e0 zenon_H1e1. % 0.71/0.92 generalize (zenon_H17d (a474)). zenon_intro zenon_H1e2. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H6 | zenon_intro zenon_H1e3 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ]. % 0.71/0.92 generalize (zenon_H1a7 (a474)). zenon_intro zenon_H1e6. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1e6); [ zenon_intro zenon_H6 | zenon_intro zenon_H1e7 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e8 ]. % 0.71/0.92 exact (zenon_H1df zenon_H1e9). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ea ]. % 0.71/0.92 exact (zenon_H1e0 zenon_H1eb). % 0.71/0.92 exact (zenon_H1ea zenon_H1e5). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ec ]. % 0.71/0.92 exact (zenon_H1e0 zenon_H1eb). % 0.71/0.92 exact (zenon_H1ec zenon_H1e1). % 0.71/0.92 (* end of lemma zenon_L166_ *) % 0.71/0.92 assert (zenon_L167_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7 zenon_H17d zenon_Hf3 zenon_H79. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b3 ]. % 0.71/0.92 apply (zenon_L166_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H7a ]. % 0.71/0.92 exact (zenon_Hf3 zenon_Hf4). % 0.71/0.92 exact (zenon_H79 zenon_H7a). % 0.71/0.92 (* end of lemma zenon_L167_ *) % 0.71/0.92 assert (zenon_L168_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp16)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H4a zenon_H1bc zenon_Hf3 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H79 zenon_H7b zenon_H3a. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.71/0.92 apply (zenon_L167_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.71/0.92 apply (zenon_L45_); trivial. % 0.71/0.92 exact (zenon_H3a zenon_H3b). % 0.71/0.92 (* end of lemma zenon_L168_ *) % 0.71/0.92 assert (zenon_L169_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_Hf3 zenon_H79 zenon_H1b2 zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L14_); trivial. % 0.71/0.92 apply (zenon_L168_); trivial. % 0.71/0.92 (* end of lemma zenon_L169_ *) % 0.71/0.92 assert (zenon_L170_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H163 zenon_H1be zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H2c zenon_Ha zenon_H2e zenon_H1b0 zenon_H7d zenon_H1a0 zenon_H19f zenon_H19e zenon_H139 zenon_H15d zenon_Ha3. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L169_); trivial. % 0.71/0.92 apply (zenon_L129_); trivial. % 0.71/0.92 apply (zenon_L133_); trivial. % 0.71/0.92 (* end of lemma zenon_L170_ *) % 0.71/0.92 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H51 zenon_H197 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L132_); trivial. % 0.71/0.92 apply (zenon_L147_); trivial. % 0.71/0.92 (* end of lemma zenon_L171_ *) % 0.71/0.92 assert (zenon_L172_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hde zenon_H163 zenon_H1be zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H2c zenon_Ha zenon_H2e zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H197 zenon_H51 zenon_H1a0 zenon_H19f zenon_H19e zenon_H139 zenon_H15d zenon_H19a zenon_Ha3. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L169_); trivial. % 0.71/0.92 apply (zenon_L147_); trivial. % 0.71/0.92 apply (zenon_L171_); trivial. % 0.71/0.92 (* end of lemma zenon_L172_ *) % 0.71/0.92 assert (zenon_L173_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hdb zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H197 zenon_H51 zenon_H19a zenon_Ha3 zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H2e zenon_Ha zenon_H2c zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9 zenon_H1be zenon_H163. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_L170_); trivial. % 0.71/0.92 apply (zenon_L172_); trivial. % 0.71/0.92 (* end of lemma zenon_L173_ *) % 0.71/0.92 assert (zenon_L174_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7d zenon_H7f zenon_H2e zenon_Ha zenon_H2c zenon_H1b2 zenon_Hf3 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L169_); trivial. % 0.71/0.92 apply (zenon_L39_); trivial. % 0.71/0.92 (* end of lemma zenon_L174_ *) % 0.71/0.92 assert (zenon_L175_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H2e zenon_Ha zenon_H2c zenon_H1b2 zenon_Hf3 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L169_); trivial. % 0.71/0.92 apply (zenon_L52_); trivial. % 0.71/0.92 (* end of lemma zenon_L175_ *) % 0.71/0.92 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L132_); trivial. % 0.71/0.92 apply (zenon_L52_); trivial. % 0.71/0.92 (* end of lemma zenon_L176_ *) % 0.71/0.92 assert (zenon_L177_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7f zenon_H2e zenon_Ha zenon_H2c zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H163. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.92 apply (zenon_L174_); trivial. % 0.71/0.92 apply (zenon_L155_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.92 apply (zenon_L175_); trivial. % 0.71/0.92 apply (zenon_L176_); trivial. % 0.71/0.92 (* end of lemma zenon_L177_ *) % 0.71/0.92 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H163 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H2c zenon_H2e zenon_H7f zenon_H9f zenon_Ha3 zenon_Hdb. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.92 apply (zenon_L177_); trivial. % 0.71/0.92 apply (zenon_L10_); trivial. % 0.71/0.92 (* end of lemma zenon_L178_ *) % 0.71/0.92 assert (zenon_L179_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_He1 zenon_H7f zenon_H9f zenon_Hdb zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H197 zenon_H19a zenon_Ha3 zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H2e zenon_H2c zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9 zenon_H1be zenon_H163 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.92 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.92 apply (zenon_L173_); trivial. % 0.71/0.92 apply (zenon_L10_); trivial. % 0.71/0.92 apply (zenon_L178_); trivial. % 0.71/0.92 (* end of lemma zenon_L179_ *) % 0.71/0.92 assert (zenon_L180_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hdb zenon_H19a zenon_H1c2 zenon_H1c0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_L58_); trivial. % 0.71/0.92 apply (zenon_L136_); trivial. % 0.71/0.92 (* end of lemma zenon_L180_ *) % 0.71/0.92 assert (zenon_L181_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_Hf3 zenon_H79 zenon_H1b2 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L64_); trivial. % 0.71/0.92 apply (zenon_L168_); trivial. % 0.71/0.92 (* end of lemma zenon_L181_ *) % 0.71/0.92 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp17)) -> (~(hskp16)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp9)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H11b zenon_H1bc zenon_H79 zenon_Hf3 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H3a. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.71/0.92 apply (zenon_L167_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.71/0.92 apply (zenon_L78_); trivial. % 0.71/0.92 exact (zenon_H3a zenon_H3b). % 0.71/0.92 (* end of lemma zenon_L182_ *) % 0.71/0.92 assert (zenon_L183_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H1b2 zenon_H79 zenon_Hf3 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.71/0.92 apply (zenon_L181_); trivial. % 0.71/0.92 apply (zenon_L182_); trivial. % 0.71/0.92 (* end of lemma zenon_L183_ *) % 0.71/0.92 assert (zenon_L184_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd9 zenon_H1be zenon_H79 zenon_H7b zenon_H1a0 zenon_H19f zenon_H19e zenon_H123 zenon_H122 zenon_H121 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L64_); trivial. % 0.71/0.92 apply (zenon_L131_); trivial. % 0.71/0.92 (* end of lemma zenon_L184_ *) % 0.71/0.92 assert (zenon_L185_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H11b zenon_H1be zenon_H123 zenon_H122 zenon_H121 zenon_H1a0 zenon_H19f zenon_H19e. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.71/0.92 apply (zenon_L83_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_L78_); trivial. % 0.71/0.92 (* end of lemma zenon_L185_ *) % 0.71/0.92 assert (zenon_L186_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H121 zenon_H122 zenon_H123 zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H79 zenon_H1be zenon_Hd9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.71/0.92 apply (zenon_L184_); trivial. % 0.71/0.92 apply (zenon_L185_); trivial. % 0.71/0.92 (* end of lemma zenon_L186_ *) % 0.71/0.92 assert (zenon_L187_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H51 zenon_H197 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_H1be zenon_H7b zenon_H1a0 zenon_H19f zenon_H19e zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L186_); trivial. % 0.71/0.92 apply (zenon_L147_); trivial. % 0.71/0.92 (* end of lemma zenon_L187_ *) % 0.71/0.92 assert (zenon_L188_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hdb zenon_H163 zenon_H1be zenon_H11e zenon_Hf9 zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H197 zenon_H51 zenon_H1a0 zenon_H19f zenon_H19e zenon_H139 zenon_H15d zenon_H19a zenon_Ha3 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_L58_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L183_); trivial. % 0.71/0.92 apply (zenon_L147_); trivial. % 0.71/0.92 apply (zenon_L187_); trivial. % 0.71/0.92 (* end of lemma zenon_L188_ *) % 0.71/0.92 assert (zenon_L189_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_He1 zenon_H11f zenon_Ha6 zenon_H3c zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H9f zenon_Hdb zenon_H163 zenon_H1be zenon_H11e zenon_Hf9 zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H197 zenon_H1a0 zenon_H19f zenon_H19e zenon_H139 zenon_H15d zenon_H19a zenon_Ha3 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.92 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.92 apply (zenon_L188_); trivial. % 0.71/0.92 apply (zenon_L10_); trivial. % 0.71/0.92 apply (zenon_L103_); trivial. % 0.71/0.92 (* end of lemma zenon_L189_ *) % 0.71/0.92 assert (zenon_L190_ : (forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (ndr1_0) -> (~(c2_1 (a492))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (c1_1 (a492)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hc8 zenon_H7 zenon_H13e zenon_H120 zenon_H13d. % 0.71/0.92 generalize (zenon_Hc8 (a492)). zenon_intro zenon_H1ed. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H6 | zenon_intro zenon_H1ee ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H144 | zenon_intro zenon_H1ef ]. % 0.71/0.92 exact (zenon_H13e zenon_H144). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H146 ]. % 0.71/0.92 generalize (zenon_H120 (a492)). zenon_intro zenon_H1f1. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1f1); [ zenon_intro zenon_H6 | zenon_intro zenon_H1f2 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f3 ]. % 0.71/0.92 exact (zenon_H1f0 zenon_H1f4). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H144 | zenon_intro zenon_H146 ]. % 0.71/0.92 exact (zenon_H13e zenon_H144). % 0.71/0.92 exact (zenon_H146 zenon_H13d). % 0.71/0.92 exact (zenon_H146 zenon_H13d). % 0.71/0.92 (* end of lemma zenon_L190_ *) % 0.71/0.92 assert (zenon_L191_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a492))) -> (c1_1 (a492)) -> (c3_1 (a492)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H12f zenon_H7 zenon_H1f0 zenon_H13d zenon_H13c. % 0.71/0.92 generalize (zenon_H12f (a492)). zenon_intro zenon_H1f5. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_H6 | zenon_intro zenon_H1f6 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H143 ]. % 0.71/0.92 exact (zenon_H1f0 zenon_H1f4). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.71/0.92 exact (zenon_H146 zenon_H13d). % 0.71/0.92 exact (zenon_H145 zenon_H13c). % 0.71/0.92 (* end of lemma zenon_L191_ *) % 0.71/0.92 assert (zenon_L192_ : (forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))) -> (ndr1_0) -> (~(c2_1 (a492))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (c1_1 (a492)) -> (c3_1 (a492)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hc8 zenon_H7 zenon_H13e zenon_H12f zenon_H13d zenon_H13c. % 0.71/0.92 generalize (zenon_Hc8 (a492)). zenon_intro zenon_H1ed. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H6 | zenon_intro zenon_H1ee ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H144 | zenon_intro zenon_H1ef ]. % 0.71/0.92 exact (zenon_H13e zenon_H144). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H146 ]. % 0.71/0.92 apply (zenon_L191_); trivial. % 0.71/0.92 exact (zenon_H146 zenon_H13d). % 0.71/0.92 (* end of lemma zenon_L192_ *) % 0.71/0.92 assert (zenon_L193_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a502))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c2_1 (a492))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (c1_1 (a492)) -> (c3_1 (a492)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Hd3 zenon_H114 zenon_H113 zenon_H112 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H13e zenon_H12f zenon_H13d zenon_H13c. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.92 apply (zenon_L78_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.92 apply (zenon_L57_); trivial. % 0.71/0.92 apply (zenon_L192_); trivial. % 0.71/0.92 (* end of lemma zenon_L193_ *) % 0.71/0.92 assert (zenon_L194_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a492)) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H11b zenon_H1be zenon_H13c zenon_H13d zenon_H13e zenon_He6 zenon_He7 zenon_He8 zenon_Hd3. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.92 apply (zenon_L78_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.92 apply (zenon_L57_); trivial. % 0.71/0.92 apply (zenon_L190_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.71/0.92 apply (zenon_L193_); trivial. % 0.71/0.92 apply (zenon_L78_); trivial. % 0.71/0.92 (* end of lemma zenon_L194_ *) % 0.71/0.92 assert (zenon_L195_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a492)) -> (~(c2_1 (a492))) -> (c1_1 (a492)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H11e zenon_H1be zenon_H13c zenon_H13e zenon_H13d zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hd4 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7b zenon_H79 zenon_Ha6 zenon_H68 zenon_H67 zenon_H66 zenon_Hd3 zenon_Hd2 zenon_Hd9. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.71/0.92 apply (zenon_L93_); trivial. % 0.71/0.92 apply (zenon_L194_); trivial. % 0.71/0.92 (* end of lemma zenon_L195_ *) % 0.71/0.92 assert (zenon_L196_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H51 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_H66 zenon_H67 zenon_H68 zenon_Ha6 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H1be zenon_H11e. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L195_); trivial. % 0.71/0.92 apply (zenon_L147_); trivial. % 0.71/0.92 (* end of lemma zenon_L196_ *) % 0.71/0.92 assert (zenon_L197_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_Hdb zenon_H164 zenon_H19a zenon_H19e zenon_H19f zenon_H1a0 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H1be zenon_H11e zenon_Hf9 zenon_Hd4 zenon_Hc4 zenon_H7b zenon_Ha6 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H15b zenon_H48 zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_H139 zenon_H15d zenon_H11f zenon_Ha3 zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.92 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.92 apply (zenon_L58_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.71/0.92 apply (zenon_L104_); trivial. % 0.71/0.92 apply (zenon_L196_); trivial. % 0.71/0.92 apply (zenon_L10_); trivial. % 0.71/0.92 apply (zenon_L105_); trivial. % 0.71/0.92 (* end of lemma zenon_L197_ *) % 0.71/0.92 assert (zenon_L198_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c3_1 (a494))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (~(c1_1 (a494))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H17b zenon_H84 zenon_H75 zenon_H83 zenon_H172 zenon_H171 zenon_H170 zenon_H7 zenon_H179. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H8b | zenon_intro zenon_H17c ]. % 0.71/0.92 apply (zenon_L36_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H16f | zenon_intro zenon_H17a ]. % 0.71/0.92 apply (zenon_L109_); trivial. % 0.71/0.92 exact (zenon_H179 zenon_H17a). % 0.71/0.92 (* end of lemma zenon_L198_ *) % 0.71/0.92 assert (zenon_L199_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> False). % 0.71/0.92 do 0 intro. intros zenon_Haa zenon_H7 zenon_H17e zenon_H18 zenon_H1f7 zenon_H17f. % 0.71/0.92 generalize (zenon_Haa (a467)). zenon_intro zenon_H186. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H186); [ zenon_intro zenon_H6 | zenon_intro zenon_H187 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H183 | zenon_intro zenon_H188 ]. % 0.71/0.92 exact (zenon_H17e zenon_H183). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H189 | zenon_intro zenon_H184 ]. % 0.71/0.92 generalize (zenon_H18 (a467)). zenon_intro zenon_H1f8. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1f9 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H183 | zenon_intro zenon_H1fa ]. % 0.71/0.92 exact (zenon_H17e zenon_H183). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fb | zenon_intro zenon_H185 ]. % 0.71/0.92 exact (zenon_H1f7 zenon_H1fb). % 0.71/0.92 exact (zenon_H189 zenon_H185). % 0.71/0.92 exact (zenon_H184 zenon_H17f). % 0.71/0.92 (* end of lemma zenon_L199_ *) % 0.71/0.92 assert (zenon_L200_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp14)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(hskp28)) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c2_1 (a492))) -> (c1_1 (a492)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> (~(c0_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H1be zenon_H7d zenon_Hd3 zenon_H3d zenon_H33 zenon_H179 zenon_H170 zenon_H171 zenon_H172 zenon_H83 zenon_H84 zenon_H17b zenon_H13e zenon_H13d zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H17e zenon_H18 zenon_H1f7 zenon_H17f. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.92 apply (zenon_L44_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.92 apply (zenon_L198_); trivial. % 0.71/0.92 apply (zenon_L190_); trivial. % 0.71/0.92 exact (zenon_H7d zenon_H7e). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_L199_); trivial. % 0.71/0.92 (* end of lemma zenon_L200_ *) % 0.71/0.92 assert (zenon_L201_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c1_1 (a494))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a494))) -> (~(c3_1 (a494))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H8b zenon_H7 zenon_H83 zenon_H30 zenon_H82 zenon_H84. % 0.71/0.92 generalize (zenon_H8b (a494)). zenon_intro zenon_H8c. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H8c); [ zenon_intro zenon_H6 | zenon_intro zenon_H8d ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H8a | zenon_intro zenon_H8e ]. % 0.71/0.92 exact (zenon_H83 zenon_H8a). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H8f | zenon_intro zenon_H89 ]. % 0.71/0.92 generalize (zenon_H30 (a494)). zenon_intro zenon_H1fc. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_H6 | zenon_intro zenon_H1fd ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H88 | zenon_intro zenon_H1fe ]. % 0.71/0.92 exact (zenon_H82 zenon_H88). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H8a | zenon_intro zenon_H93 ]. % 0.71/0.92 exact (zenon_H83 zenon_H8a). % 0.71/0.92 exact (zenon_H93 zenon_H8f). % 0.71/0.92 exact (zenon_H84 zenon_H89). % 0.71/0.92 (* end of lemma zenon_L201_ *) % 0.71/0.92 assert (zenon_L202_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c3_1 (a494))) -> (~(c0_1 (a494))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a494))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H17b zenon_H84 zenon_H82 zenon_H30 zenon_H83 zenon_H172 zenon_H171 zenon_H170 zenon_H7 zenon_H179. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H8b | zenon_intro zenon_H17c ]. % 0.71/0.92 apply (zenon_L201_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H16f | zenon_intro zenon_H17a ]. % 0.71/0.92 apply (zenon_L109_); trivial. % 0.71/0.92 exact (zenon_H179 zenon_H17a). % 0.71/0.92 (* end of lemma zenon_L202_ *) % 0.71/0.92 assert (zenon_L203_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_H19a zenon_H197 zenon_H51 zenon_H194 zenon_H1be zenon_H17f zenon_H1f7 zenon_H17e zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H13d zenon_H13e zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7d zenon_H1b0 zenon_H8 zenon_H1ff zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L14_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H18 | zenon_intro zenon_H200 ]. % 0.71/0.92 apply (zenon_L200_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H30 | zenon_intro zenon_H9 ]. % 0.71/0.92 apply (zenon_L202_); trivial. % 0.71/0.92 exact (zenon_H8 zenon_H9). % 0.71/0.92 apply (zenon_L115_); trivial. % 0.71/0.92 (* end of lemma zenon_L203_ *) % 0.71/0.92 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H19a zenon_H197 zenon_H51 zenon_H194 zenon_H17f zenon_H1f7 zenon_H17e zenon_Hd3 zenon_H13d zenon_H13e zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7d zenon_H1b0 zenon_H8 zenon_H1ff zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L132_); trivial. % 0.71/0.92 apply (zenon_L203_); trivial. % 0.71/0.92 (* end of lemma zenon_L204_ *) % 0.71/0.92 assert (zenon_L205_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp10)) -> (~(hskp26)) -> (ndr1_0) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(hskp28)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp14)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H51 zenon_Hfb zenon_H7 zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_H17b zenon_H84 zenon_H83 zenon_H172 zenon_H171 zenon_H170 zenon_H179 zenon_H33 zenon_H3d zenon_Hd3 zenon_H7d. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.71/0.92 apply (zenon_L44_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.71/0.92 apply (zenon_L198_); trivial. % 0.71/0.92 apply (zenon_L97_); trivial. % 0.71/0.92 exact (zenon_H7d zenon_H7e). % 0.71/0.92 (* end of lemma zenon_L205_ *) % 0.71/0.92 assert (zenon_L206_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(hskp26)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H7 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H14b zenon_H14c zenon_H14d zenon_Hfb zenon_H51 zenon_H159 zenon_H83 zenon_H84 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H3d zenon_H33 zenon_H7d zenon_H1b0. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.71/0.92 apply (zenon_L205_); trivial. % 0.71/0.92 apply (zenon_L115_); trivial. % 0.71/0.92 (* end of lemma zenon_L206_ *) % 0.71/0.92 assert (zenon_L207_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a470))) -> (c1_1 (a470)) -> (c2_1 (a470)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H201 zenon_H7 zenon_Hff zenon_H10d zenon_H100. % 0.71/0.92 generalize (zenon_H201 (a470)). zenon_intro zenon_H202. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H6 | zenon_intro zenon_H203 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H105 | zenon_intro zenon_H204 ]. % 0.71/0.92 exact (zenon_Hff zenon_H105). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H111 | zenon_intro zenon_H107 ]. % 0.71/0.92 exact (zenon_H111 zenon_H10d). % 0.71/0.92 exact (zenon_H107 zenon_H100). % 0.71/0.92 (* end of lemma zenon_L207_ *) % 0.71/0.92 assert (zenon_L208_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (c1_1 (a470)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H101 zenon_H100 zenon_H10d zenon_H201 zenon_H7 zenon_H7d. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.92 generalize (zenon_H6f (a470)). zenon_intro zenon_H108. % 0.71/0.92 apply (zenon_imply_s _ _ zenon_H108); [ zenon_intro zenon_H6 | zenon_intro zenon_H109 ]. % 0.71/0.92 exact (zenon_H6 zenon_H7). % 0.71/0.92 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hff | zenon_intro zenon_H104 ]. % 0.71/0.92 apply (zenon_L207_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 0.71/0.92 exact (zenon_H107 zenon_H100). % 0.71/0.92 exact (zenon_H106 zenon_H101). % 0.71/0.92 exact (zenon_H7d zenon_H7e). % 0.71/0.92 (* end of lemma zenon_L208_ *) % 0.71/0.92 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp14)) -> (c0_1 (a512)) -> (~(c1_1 (a512))) -> (c3_1 (a512)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp9)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H10a zenon_H205 zenon_H7d zenon_H56 zenon_H55 zenon_H57 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H3a. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H201 | zenon_intro zenon_H206 ]. % 0.71/0.92 apply (zenon_L208_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H3b ]. % 0.71/0.92 apply (zenon_L123_); trivial. % 0.71/0.92 exact (zenon_H3a zenon_H3b). % 0.71/0.92 (* end of lemma zenon_L209_ *) % 0.71/0.92 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H60 zenon_H11f zenon_H205 zenon_H3a zenon_H1b0 zenon_H7d zenon_H33 zenon_H3d zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H84 zenon_H83 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H194 zenon_H17f zenon_H17e zenon_H197 zenon_H19a. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H7. zenon_intro zenon_H62. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H56. zenon_intro zenon_H63. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H57. zenon_intro zenon_H55. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.71/0.92 apply (zenon_L206_); trivial. % 0.71/0.92 apply (zenon_L209_); trivial. % 0.71/0.92 (* end of lemma zenon_L210_ *) % 0.71/0.92 assert (zenon_L211_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c3_1 (a475))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp16)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_Ha3 zenon_Hd9 zenon_H11f zenon_H205 zenon_H3a zenon_H17b zenon_H159 zenon_H51 zenon_Hd3 zenon_H194 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_H2c zenon_Ha zenon_H2e zenon_H1c2 zenon_H1c0 zenon_H14c zenon_H14d zenon_H14b zenon_H170 zenon_H171 zenon_H172 zenon_H1d5 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H1b0 zenon_H7d zenon_Hf3 zenon_H1b2 zenon_H65. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L153_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L14_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H60 ]. % 0.71/0.92 apply (zenon_L152_); trivial. % 0.71/0.92 apply (zenon_L210_); trivial. % 0.71/0.92 (* end of lemma zenon_L211_ *) % 0.71/0.92 assert (zenon_L212_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H101 zenon_H100 zenon_Haa zenon_H7 zenon_H7d. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.71/0.92 apply (zenon_L69_); trivial. % 0.71/0.92 exact (zenon_H7d zenon_H7e). % 0.71/0.92 (* end of lemma zenon_L212_ *) % 0.71/0.92 assert (zenon_L213_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp14)) -> False). % 0.71/0.92 do 0 intro. intros zenon_H10a zenon_H1be zenon_H123 zenon_H122 zenon_H121 zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.71/0.92 apply (zenon_L83_); trivial. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.71/0.92 apply (zenon_L121_); trivial. % 0.71/0.92 apply (zenon_L212_); trivial. % 0.71/0.92 (* end of lemma zenon_L213_ *) % 0.71/0.92 assert (zenon_L214_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H11f zenon_H1b0 zenon_H7d zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hd3 zenon_H194 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_L132_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.92 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.92 apply (zenon_L14_); trivial. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.92 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.71/0.92 apply (zenon_L206_); trivial. % 0.71/0.92 apply (zenon_L213_); trivial. % 0.71/0.92 (* end of lemma zenon_L214_ *) % 0.71/0.92 assert (zenon_L215_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.71/0.92 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_H11f zenon_H207 zenon_H48 zenon_H1b0 zenon_H7d zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H194 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_H2c zenon_Ha zenon_H2e. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.71/0.93 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.71/0.93 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.71/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.71/0.93 apply (zenon_L14_); trivial. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.71/0.93 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.71/0.93 apply (zenon_L206_); trivial. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.93 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.71/0.93 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.71/0.93 apply (zenon_L35_); trivial. % 0.71/0.93 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.71/0.93 apply (zenon_L208_); trivial. % 0.71/0.93 exact (zenon_H48 zenon_H49). % 0.71/0.93 (* end of lemma zenon_L215_ *) % 0.71/0.93 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.71/0.93 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_Hd2 zenon_Ha6 zenon_Hc4 zenon_Hd4 zenon_Hdb zenon_H7f zenon_H7b zenon_H2e zenon_H2c zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H1b0 zenon_H48 zenon_H207 zenon_H11f zenon_Hd9 zenon_Ha3 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.71/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.71/0.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.71/0.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.93 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.71/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.71/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.71/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.71/0.93 apply (zenon_L34_); trivial. % 0.71/0.93 apply (zenon_L215_); trivial. % 0.71/0.93 apply (zenon_L116_); trivial. % 0.71/0.93 apply (zenon_L10_); trivial. % 0.71/0.93 apply (zenon_L53_); trivial. % 0.71/0.93 (* end of lemma zenon_L216_ *) % 0.71/0.93 assert (zenon_L217_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H147 zenon_H163 zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H2c zenon_Ha zenon_H2e zenon_H1ff zenon_H8 zenon_H1b0 zenon_H7d zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H17e zenon_H1f7 zenon_H17f zenon_H1be zenon_H194 zenon_H51 zenon_H197 zenon_H19a zenon_Ha3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L169_); trivial. % 0.76/0.93 apply (zenon_L203_); trivial. % 0.76/0.93 apply (zenon_L204_); trivial. % 0.76/0.93 (* end of lemma zenon_L217_ *) % 0.76/0.93 assert (zenon_L218_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_Hd9 zenon_H19a zenon_H197 zenon_H51 zenon_H194 zenon_H1be zenon_H17f zenon_H1f7 zenon_H17e zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H1b0 zenon_H8 zenon_H1ff zenon_H2c zenon_H2e zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_Ha zenon_H7d zenon_H7f. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L34_); trivial. % 0.76/0.93 apply (zenon_L203_); trivial. % 0.76/0.93 (* end of lemma zenon_L218_ *) % 0.76/0.93 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_Hd2 zenon_Ha6 zenon_Hc4 zenon_Hd4 zenon_Hdb zenon_H163 zenon_Hd9 zenon_H12d zenon_H2c zenon_H2e zenon_Hef zenon_Hf5 zenon_H7f zenon_H7b zenon_H1ff zenon_H8 zenon_H1b0 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H17e zenon_H1f7 zenon_H17f zenon_H1be zenon_H194 zenon_H197 zenon_H19a zenon_Ha3 zenon_H164 zenon_H22 zenon_H25 zenon_H29. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.76/0.93 apply (zenon_L142_); trivial. % 0.76/0.93 apply (zenon_L218_); trivial. % 0.76/0.93 apply (zenon_L116_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 apply (zenon_L53_); trivial. % 0.76/0.93 (* end of lemma zenon_L219_ *) % 0.76/0.93 assert (zenon_L220_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H209 zenon_H7 zenon_H20a zenon_H20b zenon_H20c. % 0.76/0.93 generalize (zenon_H209 (a465)). zenon_intro zenon_H20d. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H6 | zenon_intro zenon_H20e ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.76/0.93 exact (zenon_H20a zenon_H210). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.76/0.93 exact (zenon_H20b zenon_H212). % 0.76/0.93 exact (zenon_H20c zenon_H211). % 0.76/0.93 (* end of lemma zenon_L220_ *) % 0.76/0.93 assert (zenon_L221_ : ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1d5 zenon_H20c zenon_H20b zenon_H8b zenon_H172 zenon_H171 zenon_H170 zenon_H7 zenon_H4f. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d6 ]. % 0.76/0.93 generalize (zenon_H8b (a465)). zenon_intro zenon_H213. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H6 | zenon_intro zenon_H214 ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H20f ]. % 0.76/0.93 generalize (zenon_H1ce (a465)). zenon_intro zenon_H216. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_H6 | zenon_intro zenon_H217 ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H212 | zenon_intro zenon_H218 ]. % 0.76/0.93 exact (zenon_H20b zenon_H212). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H211 | zenon_intro zenon_H219 ]. % 0.76/0.93 exact (zenon_H20c zenon_H211). % 0.76/0.93 exact (zenon_H219 zenon_H215). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.76/0.93 exact (zenon_H20b zenon_H212). % 0.76/0.93 exact (zenon_H20c zenon_H211). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H16f | zenon_intro zenon_H50 ]. % 0.76/0.93 apply (zenon_L109_); trivial. % 0.76/0.93 exact (zenon_H4f zenon_H50). % 0.76/0.93 (* end of lemma zenon_L221_ *) % 0.76/0.93 assert (zenon_L222_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c0_1 (a465))) -> (~(hskp21)) -> (ndr1_0) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (~(hskp27)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H21a zenon_H20a zenon_H4f zenon_H7 zenon_H170 zenon_H171 zenon_H172 zenon_H20b zenon_H20c zenon_H1d5 zenon_Ha4. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.76/0.93 apply (zenon_L220_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.76/0.93 apply (zenon_L221_); trivial. % 0.76/0.93 exact (zenon_Ha4 zenon_Ha5). % 0.76/0.93 (* end of lemma zenon_L222_ *) % 0.76/0.93 assert (zenon_L223_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp3)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7d zenon_H7f zenon_H2e zenon_Ha zenon_H2c zenon_Hd4 zenon_Hc4 zenon_H7b zenon_H20a zenon_H20b zenon_H20c zenon_H1d5 zenon_H172 zenon_H171 zenon_H170 zenon_H21a zenon_H5e zenon_H61 zenon_H65 zenon_Hd9. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L14_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H60 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L222_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.76/0.93 apply (zenon_L45_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.76/0.93 apply (zenon_L221_); trivial. % 0.76/0.93 apply (zenon_L47_); trivial. % 0.76/0.93 apply (zenon_L25_); trivial. % 0.76/0.93 apply (zenon_L39_); trivial. % 0.76/0.93 (* end of lemma zenon_L223_ *) % 0.76/0.93 assert (zenon_L224_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7 zenon_Ha4. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.76/0.93 apply (zenon_L220_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.76/0.93 apply (zenon_L46_); trivial. % 0.76/0.93 exact (zenon_Ha4 zenon_Ha5). % 0.76/0.93 (* end of lemma zenon_L224_ *) % 0.76/0.93 assert (zenon_L225_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4a zenon_Hd4 zenon_Hc4 zenon_H79 zenon_H7b zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L224_); trivial. % 0.76/0.93 apply (zenon_L48_); trivial. % 0.76/0.93 (* end of lemma zenon_L225_ *) % 0.76/0.93 assert (zenon_L226_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hd9 zenon_Hd4 zenon_Hc4 zenon_H79 zenon_H7b zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L14_); trivial. % 0.76/0.93 apply (zenon_L225_); trivial. % 0.76/0.93 (* end of lemma zenon_L226_ *) % 0.76/0.93 assert (zenon_L227_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H2e zenon_Ha zenon_H2c zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H7b zenon_Hc4 zenon_Hd4 zenon_Hd9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L226_); trivial. % 0.76/0.93 apply (zenon_L52_); trivial. % 0.76/0.93 (* end of lemma zenon_L227_ *) % 0.76/0.93 assert (zenon_L228_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_He1 zenon_Ha3 zenon_H9f zenon_H7f zenon_H2e zenon_Hd4 zenon_Hc4 zenon_H7b zenon_H20a zenon_H20b zenon_H20c zenon_H1d5 zenon_H172 zenon_H171 zenon_H170 zenon_H21a zenon_Hd9 zenon_Hdb zenon_H65 zenon_H61 zenon_H5e zenon_H2c zenon_H53 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.93 apply (zenon_L27_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L223_); trivial. % 0.76/0.93 apply (zenon_L227_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L228_ *) % 0.76/0.93 assert (zenon_L229_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H11b zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L224_); trivial. % 0.76/0.93 apply (zenon_L79_); trivial. % 0.76/0.93 (* end of lemma zenon_L229_ *) % 0.76/0.93 assert (zenon_L230_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H7b zenon_H79 zenon_Hc4 zenon_Hd4 zenon_Hd9. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L64_); trivial. % 0.76/0.93 apply (zenon_L225_); trivial. % 0.76/0.93 apply (zenon_L229_); trivial. % 0.76/0.93 (* end of lemma zenon_L230_ *) % 0.76/0.93 assert (zenon_L231_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a471))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c1_1 (a471))) -> (c2_1 (a471)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H14a zenon_H7 zenon_He7 zenon_H30 zenon_He6 zenon_He8. % 0.76/0.93 generalize (zenon_H14a (a471)). zenon_intro zenon_H21c. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H6 | zenon_intro zenon_H21d ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_Hee | zenon_intro zenon_H21e ]. % 0.76/0.93 exact (zenon_He7 zenon_Hee). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21f | zenon_intro zenon_Hed ]. % 0.76/0.93 generalize (zenon_H30 (a471)). zenon_intro zenon_H220. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H6 | zenon_intro zenon_H221 ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.76/0.93 exact (zenon_H21f zenon_H223). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_Hec | zenon_intro zenon_Hed ]. % 0.76/0.93 exact (zenon_He6 zenon_Hec). % 0.76/0.93 exact (zenon_Hed zenon_He8). % 0.76/0.93 exact (zenon_Hed zenon_He8). % 0.76/0.93 (* end of lemma zenon_L231_ *) % 0.76/0.93 assert (zenon_L232_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c2_1 (a471)) -> (~(c1_1 (a471))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a471))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H159 zenon_He8 zenon_He6 zenon_H30 zenon_He7 zenon_H7 zenon_Hfb zenon_H51. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H14a | zenon_intro zenon_H15a ]. % 0.76/0.93 apply (zenon_L231_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hfc | zenon_intro zenon_H52 ]. % 0.76/0.93 exact (zenon_Hfb zenon_Hfc). % 0.76/0.93 exact (zenon_H51 zenon_H52). % 0.76/0.93 (* end of lemma zenon_L232_ *) % 0.76/0.93 assert (zenon_L233_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp10)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (c2_1 (a471)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc3 zenon_Hfd zenon_H51 zenon_He7 zenon_He6 zenon_He8 zenon_H159 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H33 zenon_H3d zenon_Hc4 zenon_Hfb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.76/0.93 apply (zenon_L232_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.76/0.93 apply (zenon_L65_); trivial. % 0.76/0.93 exact (zenon_Hfb zenon_Hfc). % 0.76/0.93 (* end of lemma zenon_L233_ *) % 0.76/0.93 assert (zenon_L234_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H15d zenon_H139 zenon_H84 zenon_H83 zenon_H82 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H159 zenon_H51 zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L64_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L224_); trivial. % 0.76/0.93 apply (zenon_L233_); trivial. % 0.76/0.93 apply (zenon_L99_); trivial. % 0.76/0.93 (* end of lemma zenon_L234_ *) % 0.76/0.93 assert (zenon_L235_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H9e zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H51 zenon_H159 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_H139 zenon_H15d zenon_H11f zenon_Hd9. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.93 apply (zenon_L234_); trivial. % 0.76/0.93 apply (zenon_L229_); trivial. % 0.76/0.93 (* end of lemma zenon_L235_ *) % 0.76/0.93 assert (zenon_L236_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H11e zenon_Hf9 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H7b zenon_Hc4 zenon_Hd4 zenon_Hd9 zenon_H11f zenon_H15d zenon_H139 zenon_H159 zenon_H51 zenon_Hfd zenon_Ha3 zenon_Hdb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L58_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L230_); trivial. % 0.76/0.93 apply (zenon_L235_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L236_ *) % 0.76/0.93 assert (zenon_L237_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_Ha3 zenon_H9f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7f zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_Hd4 zenon_Hd9 zenon_Hdb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L40_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L230_); trivial. % 0.76/0.93 apply (zenon_L52_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L237_ *) % 0.76/0.93 assert (zenon_L238_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (ndr1_0) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H18 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7 zenon_Hba zenon_Hbb zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.76/0.93 apply (zenon_L199_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.76/0.93 apply (zenon_L46_); trivial. % 0.76/0.93 apply (zenon_L47_); trivial. % 0.76/0.93 (* end of lemma zenon_L238_ *) % 0.76/0.93 assert (zenon_L239_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a476))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H224 zenon_H7 zenon_H66 zenon_H6f zenon_H67 zenon_H68. % 0.76/0.93 generalize (zenon_H224 (a476)). zenon_intro zenon_H225. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H225); [ zenon_intro zenon_H6 | zenon_intro zenon_H226 ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H6c | zenon_intro zenon_H227 ]. % 0.76/0.93 exact (zenon_H66 zenon_H6c). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H70 | zenon_intro zenon_H6e ]. % 0.76/0.93 apply (zenon_L29_); trivial. % 0.76/0.93 exact (zenon_H6e zenon_H67). % 0.76/0.93 (* end of lemma zenon_L239_ *) % 0.76/0.93 assert (zenon_L240_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (~(hskp17)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H224 zenon_H79. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.76/0.93 apply (zenon_L28_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.76/0.93 apply (zenon_L239_); trivial. % 0.76/0.93 exact (zenon_H79 zenon_H7a). % 0.76/0.93 (* end of lemma zenon_L240_ *) % 0.76/0.93 assert (zenon_L241_ : (~(hskp25)) -> (hskp25) -> False). % 0.76/0.93 do 0 intro. intros zenon_H228 zenon_H229. % 0.76/0.93 exact (zenon_H228 zenon_H229). % 0.76/0.93 (* end of lemma zenon_L241_ *) % 0.76/0.93 assert (zenon_L242_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp17)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp25)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc3 zenon_H22a zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H79 zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H228. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H18 | zenon_intro zenon_H22b ]. % 0.76/0.93 apply (zenon_L238_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H224 | zenon_intro zenon_H229 ]. % 0.76/0.93 apply (zenon_L240_); trivial. % 0.76/0.93 exact (zenon_H228 zenon_H229). % 0.76/0.93 (* end of lemma zenon_L242_ *) % 0.76/0.93 assert (zenon_L243_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c0_1 (a461)) -> (c2_1 (a461)) -> (c3_1 (a461)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H6f zenon_H7 zenon_H22c zenon_H22d zenon_H22e. % 0.76/0.93 generalize (zenon_H6f (a461)). zenon_intro zenon_H22f. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H6 | zenon_intro zenon_H230 ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 0.76/0.93 exact (zenon_H232 zenon_H22c). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H234 | zenon_intro zenon_H233 ]. % 0.76/0.93 exact (zenon_H234 zenon_H22d). % 0.76/0.93 exact (zenon_H233 zenon_H22e). % 0.76/0.93 (* end of lemma zenon_L243_ *) % 0.76/0.93 assert (zenon_L244_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(hskp17)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H235 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H79. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.76/0.93 apply (zenon_L28_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.76/0.93 apply (zenon_L243_); trivial. % 0.76/0.93 exact (zenon_H79 zenon_H7a). % 0.76/0.93 (* end of lemma zenon_L244_ *) % 0.76/0.93 assert (zenon_L245_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd4 zenon_H22a zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H238. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L224_); trivial. % 0.76/0.93 apply (zenon_L242_); trivial. % 0.76/0.93 apply (zenon_L244_); trivial. % 0.76/0.93 apply (zenon_L52_); trivial. % 0.76/0.93 (* end of lemma zenon_L245_ *) % 0.76/0.93 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a467))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_He2 zenon_He1 zenon_H238 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_H1f7 zenon_H7b zenon_H22a zenon_Hd4 zenon_H9f zenon_Ha3 zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.93 apply (zenon_L118_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L58_); trivial. % 0.76/0.93 apply (zenon_L245_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L246_ *) % 0.76/0.93 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c1_1 (a467))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H19b zenon_He5 zenon_H238 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H1f7 zenon_H22a zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H194 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hdb zenon_Ha3 zenon_H9f zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_Hf9 zenon_H11e zenon_He1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.76/0.93 apply (zenon_L119_); trivial. % 0.76/0.93 apply (zenon_L246_); trivial. % 0.76/0.93 (* end of lemma zenon_L247_ *) % 0.76/0.93 assert (zenon_L248_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(hskp14)) -> (~(hskp12)) -> (ndr1_0) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp27)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H7d zenon_Ha zenon_H7 zenon_H83 zenon_H84 zenon_H7f zenon_Ha4. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.76/0.93 apply (zenon_L220_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.76/0.93 apply (zenon_L37_); trivial. % 0.76/0.93 exact (zenon_Ha4 zenon_Ha5). % 0.76/0.93 (* end of lemma zenon_L248_ *) % 0.76/0.93 assert (zenon_L249_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_Hd4 zenon_H1b0 zenon_H66 zenon_H67 zenon_H68 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H7d zenon_H21a zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L14_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L248_); trivial. % 0.76/0.93 apply (zenon_L161_); trivial. % 0.76/0.93 (* end of lemma zenon_L249_ *) % 0.76/0.93 assert (zenon_L250_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Ha3 zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H21a zenon_H2e zenon_Ha zenon_H2c zenon_Hd4 zenon_H1b0 zenon_H7d zenon_H66 zenon_H67 zenon_H68 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha6 zenon_Hd2 zenon_Hd9. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L164_); trivial. % 0.76/0.93 apply (zenon_L249_); trivial. % 0.76/0.93 (* end of lemma zenon_L250_ *) % 0.76/0.93 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_Ha3 zenon_H9f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7f zenon_Hd9 zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H2c zenon_H2e zenon_Hdb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L40_); trivial. % 0.76/0.93 apply (zenon_L227_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L251_ *) % 0.76/0.93 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_Hdb zenon_H19a zenon_H15d zenon_H139 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7b zenon_Hc4 zenon_Hd9 zenon_Hd2 zenon_Ha6 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H1b0 zenon_Hd4 zenon_H2c zenon_H2e zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_Ha3 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L250_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L226_); trivial. % 0.76/0.93 apply (zenon_L147_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 apply (zenon_L251_); trivial. % 0.76/0.93 (* end of lemma zenon_L252_ *) % 0.76/0.93 assert (zenon_L253_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H11e zenon_Hf9 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H7b zenon_Hc4 zenon_Hd4 zenon_Hd9 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H197 zenon_H51 zenon_H1a0 zenon_H19f zenon_H19e zenon_H139 zenon_H15d zenon_H19a zenon_Ha3 zenon_Hdb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L58_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L230_); trivial. % 0.76/0.93 apply (zenon_L147_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L253_ *) % 0.76/0.93 assert (zenon_L254_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a473)) -> (c3_1 (a473)) -> (c1_1 (a473)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hd3 zenon_H17f zenon_H17e zenon_H17d zenon_H84 zenon_H83 zenon_H8b zenon_H7 zenon_H6f zenon_Hba zenon_Hbc zenon_Hbb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.76/0.93 apply (zenon_L112_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.76/0.93 apply (zenon_L36_); trivial. % 0.76/0.93 apply (zenon_L159_); trivial. % 0.76/0.93 (* end of lemma zenon_L254_ *) % 0.76/0.93 assert (zenon_L255_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (ndr1_0) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc4 zenon_H6f zenon_H83 zenon_H84 zenon_H17d zenon_H17e zenon_H17f zenon_Hd3 zenon_H7 zenon_Hba zenon_Hbb zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.76/0.93 apply (zenon_L112_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.76/0.93 apply (zenon_L254_); trivial. % 0.76/0.93 apply (zenon_L47_); trivial. % 0.76/0.93 (* end of lemma zenon_L255_ *) % 0.76/0.93 assert (zenon_L256_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c3_1 (a473)) -> (c1_1 (a473)) -> (c0_1 (a473)) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp14)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hbc zenon_Hbb zenon_Hba zenon_H7 zenon_Hd3 zenon_H17f zenon_H17e zenon_H17d zenon_H84 zenon_H83 zenon_Hc4 zenon_H7d. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.76/0.93 apply (zenon_L121_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.76/0.93 apply (zenon_L255_); trivial. % 0.76/0.93 exact (zenon_H7d zenon_H7e). % 0.76/0.93 (* end of lemma zenon_L256_ *) % 0.76/0.93 assert (zenon_L257_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp14)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a467))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1bc zenon_H7d zenon_Hc4 zenon_H83 zenon_H84 zenon_Hd3 zenon_Hba zenon_Hbb zenon_Hbc zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H17f zenon_H1f7 zenon_H18 zenon_H17e zenon_H7 zenon_H3a. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.76/0.93 apply (zenon_L256_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.76/0.93 apply (zenon_L199_); trivial. % 0.76/0.93 exact (zenon_H3a zenon_H3b). % 0.76/0.93 (* end of lemma zenon_L257_ *) % 0.76/0.93 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c0_1 (a494))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc3 zenon_H19a zenon_H197 zenon_H51 zenon_H194 zenon_H1bc zenon_H3a zenon_H1f7 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hc4 zenon_H83 zenon_H84 zenon_Hd3 zenon_H17f zenon_H17e zenon_H7d zenon_H1b0 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H82 zenon_H8 zenon_H1ff. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H18 | zenon_intro zenon_H200 ]. % 0.76/0.93 apply (zenon_L257_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H30 | zenon_intro zenon_H9 ]. % 0.76/0.93 apply (zenon_L202_); trivial. % 0.76/0.93 exact (zenon_H8 zenon_H9). % 0.76/0.93 apply (zenon_L115_); trivial. % 0.76/0.93 (* end of lemma zenon_L258_ *) % 0.76/0.93 assert (zenon_L259_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H9e zenon_Hd4 zenon_H19a zenon_H197 zenon_H51 zenon_H194 zenon_H1bc zenon_H3a zenon_H1f7 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hc4 zenon_Hd3 zenon_H17f zenon_H17e zenon_H1b0 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H8 zenon_H1ff zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H7d zenon_Ha zenon_H21a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L248_); trivial. % 0.76/0.93 apply (zenon_L258_); trivial. % 0.76/0.93 (* end of lemma zenon_L259_ *) % 0.76/0.93 assert (zenon_L260_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp16)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Ha3 zenon_Hd4 zenon_H19a zenon_H197 zenon_H194 zenon_H1bc zenon_H3a zenon_H1f7 zenon_Hc4 zenon_Hd3 zenon_H17f zenon_H17e zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H8 zenon_H1ff zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_Ha zenon_H21a zenon_H53 zenon_H2c zenon_H51 zenon_H1b0 zenon_H7d zenon_H1a0 zenon_H19f zenon_H19e zenon_Hf3 zenon_H1b2 zenon_H65. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L125_); trivial. % 0.76/0.93 apply (zenon_L259_); trivial. % 0.76/0.93 (* end of lemma zenon_L260_ *) % 0.76/0.93 assert (zenon_L261_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a467))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H29 zenon_H25 zenon_H22 zenon_H163 zenon_H2e zenon_H7b zenon_H1be zenon_Hd9 zenon_H65 zenon_H1b2 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H51 zenon_H2c zenon_H53 zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_H1ff zenon_H8 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H17e zenon_H17f zenon_Hd3 zenon_Hc4 zenon_H1f7 zenon_H3a zenon_H1bc zenon_H194 zenon_H197 zenon_H19a zenon_Hd4 zenon_Ha3 zenon_Hdb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.93 apply (zenon_L260_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L132_); trivial. % 0.76/0.93 apply (zenon_L259_); trivial. % 0.76/0.93 apply (zenon_L116_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L261_ *) % 0.76/0.93 assert (zenon_L262_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (ndr1_0) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc4 zenon_H17f zenon_H17e zenon_H17d zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7 zenon_Hba zenon_Hbb zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.76/0.93 apply (zenon_L112_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.76/0.93 apply (zenon_L46_); trivial. % 0.76/0.93 apply (zenon_L47_); trivial. % 0.76/0.93 (* end of lemma zenon_L262_ *) % 0.76/0.93 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (c3_1 (a473)) -> (c1_1 (a473)) -> (c0_1 (a473)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H196 zenon_H197 zenon_Hbc zenon_Hbb zenon_Hba zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H17e zenon_H17f zenon_Hc4 zenon_H51. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H7. zenon_intro zenon_H198. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18b. zenon_intro zenon_H199. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18c. zenon_intro zenon_H18d. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H17d | zenon_intro zenon_H195 ]. % 0.76/0.93 apply (zenon_L262_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18a | zenon_intro zenon_H52 ]. % 0.76/0.93 apply (zenon_L113_); trivial. % 0.76/0.93 exact (zenon_H51 zenon_H52). % 0.76/0.93 (* end of lemma zenon_L263_ *) % 0.76/0.93 assert (zenon_L264_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hde zenon_Hd4 zenon_H19a zenon_H197 zenon_H51 zenon_H17e zenon_H17f zenon_Hc4 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H20a zenon_H20b zenon_H20c zenon_H21a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L224_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.76/0.93 apply (zenon_L111_); trivial. % 0.76/0.93 apply (zenon_L263_); trivial. % 0.76/0.93 (* end of lemma zenon_L264_ *) % 0.76/0.93 assert (zenon_L265_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hdb zenon_H19a zenon_H197 zenon_H51 zenon_H17e zenon_H17f zenon_Hc4 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_Hd2 zenon_Ha6 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H68 zenon_H67 zenon_H66 zenon_H1b0 zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_Ha3. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L250_); trivial. % 0.76/0.93 apply (zenon_L264_); trivial. % 0.76/0.93 (* end of lemma zenon_L265_ *) % 0.76/0.93 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hda zenon_H29 zenon_H25 zenon_H22 zenon_H8 zenon_Ha3 zenon_H9f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7f zenon_H238 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_H22a zenon_Hd4 zenon_Hdb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L40_); trivial. % 0.76/0.93 apply (zenon_L245_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 (* end of lemma zenon_L266_ *) % 0.76/0.93 assert (zenon_L267_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> (~(c1_1 (a467))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_H7b zenon_H238 zenon_H1f7 zenon_H22a zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_Hc4 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_Hd2 zenon_Ha6 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H1b0 zenon_Hd4 zenon_H2c zenon_H2e zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_Ha3 zenon_H8 zenon_H22 zenon_H25 zenon_H29. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.93 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_L265_); trivial. % 0.76/0.93 apply (zenon_L10_); trivial. % 0.76/0.93 apply (zenon_L266_); trivial. % 0.76/0.93 (* end of lemma zenon_L267_ *) % 0.76/0.93 assert (zenon_L268_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H30 zenon_H7 zenon_H239 zenon_H23a zenon_H23b. % 0.76/0.93 generalize (zenon_H30 (a463)). zenon_intro zenon_H23c. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H6 | zenon_intro zenon_H23d ]. % 0.76/0.93 exact (zenon_H6 zenon_H7). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.76/0.93 exact (zenon_H239 zenon_H23f). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.76/0.93 exact (zenon_H23a zenon_H241). % 0.76/0.93 exact (zenon_H240 zenon_H23b). % 0.76/0.93 (* end of lemma zenon_L268_ *) % 0.76/0.93 assert (zenon_L269_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp2)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4b zenon_H23b zenon_H23a zenon_H239 zenon_H7 zenon_H2c zenon_H48. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H30 | zenon_intro zenon_H4e ]. % 0.76/0.93 apply (zenon_L268_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ]. % 0.76/0.93 exact (zenon_H2c zenon_H2d). % 0.76/0.93 exact (zenon_H48 zenon_H49). % 0.76/0.93 (* end of lemma zenon_L269_ *) % 0.76/0.93 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hc3 zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H33 zenon_H3d zenon_Hc4 zenon_Hfb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.76/0.93 apply (zenon_L268_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.76/0.93 apply (zenon_L65_); trivial. % 0.76/0.93 exact (zenon_Hfb zenon_Hfc). % 0.76/0.93 (* end of lemma zenon_L270_ *) % 0.76/0.93 assert (zenon_L271_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hd4 zenon_Hfd zenon_Hfb zenon_H33 zenon_H3d zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha7 zenon_H79 zenon_Ha6. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.93 apply (zenon_L42_); trivial. % 0.76/0.93 apply (zenon_L270_); trivial. % 0.76/0.93 (* end of lemma zenon_L271_ *) % 0.76/0.93 assert (zenon_L272_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (c1_1 (a524)) -> (c0_1 (a524)) -> (~(c2_1 (a524))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_Hcb zenon_Hca zenon_Hc9 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_H33 zenon_H3d zenon_Hd3 zenon_Hfb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.76/0.93 apply (zenon_L268_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.76/0.93 apply (zenon_L73_); trivial. % 0.76/0.93 exact (zenon_Hfb zenon_Hfc). % 0.76/0.93 (* end of lemma zenon_L272_ *) % 0.76/0.93 assert (zenon_L273_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H11f zenon_H7b zenon_Ha6 zenon_H79 zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L64_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.93 apply (zenon_L271_); trivial. % 0.76/0.93 apply (zenon_L72_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.93 apply (zenon_L272_); trivial. % 0.76/0.93 apply (zenon_L77_); trivial. % 0.76/0.93 apply (zenon_L81_); trivial. % 0.76/0.93 (* end of lemma zenon_L273_ *) % 0.76/0.93 assert (zenon_L274_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H13b zenon_H139 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L273_); trivial. % 0.76/0.93 apply (zenon_L91_); trivial. % 0.76/0.93 (* end of lemma zenon_L274_ *) % 0.76/0.93 assert (zenon_L275_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((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))))))\/(hskp0))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp0)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H24 zenon_H1ff zenon_H23b zenon_H23a zenon_H239 zenon_H8. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H18 | zenon_intro zenon_H200 ]. % 0.76/0.93 apply (zenon_L8_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H30 | zenon_intro zenon_H9 ]. % 0.76/0.93 apply (zenon_L268_); trivial. % 0.76/0.93 exact (zenon_H8 zenon_H9). % 0.76/0.93 (* end of lemma zenon_L275_ *) % 0.76/0.93 assert (zenon_L276_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.93 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.93 apply (zenon_L273_); trivial. % 0.76/0.93 apply (zenon_L52_); trivial. % 0.76/0.93 (* end of lemma zenon_L276_ *) % 0.76/0.93 assert (zenon_L277_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha6 zenon_H7b zenon_H11f zenon_Hf9 zenon_H11e zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.93 apply (zenon_L58_); trivial. % 0.76/0.93 apply (zenon_L276_); trivial. % 0.76/0.93 (* end of lemma zenon_L277_ *) % 0.76/0.93 assert (zenon_L278_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_L277_); trivial. % 0.76/0.93 apply (zenon_L275_); trivial. % 0.76/0.93 (* end of lemma zenon_L278_ *) % 0.76/0.93 assert (zenon_L279_ : ((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H16b zenon_H29 zenon_H1ff zenon_H23b zenon_H23a zenon_H239 zenon_H8 zenon_Hc. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.93 apply (zenon_L7_); trivial. % 0.76/0.93 apply (zenon_L275_); trivial. % 0.76/0.93 (* end of lemma zenon_L279_ *) % 0.76/0.93 assert (zenon_L280_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp5)) -> ((hskp5)\/(hskp11)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H16e zenon_H29 zenon_H1ff zenon_H23b zenon_H23a zenon_H239 zenon_H8 zenon_Hc zenon_H1 zenon_H5. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.76/0.94 apply (zenon_L3_); trivial. % 0.76/0.94 apply (zenon_L279_); trivial. % 0.76/0.94 (* end of lemma zenon_L280_ *) % 0.76/0.94 assert (zenon_L281_ : ((ndr1_0)/\((c3_1 (a467))/\((~(c0_1 (a467)))/\(~(c1_1 (a467)))))) -> ((~(hskp5))\/((ndr1_0)/\((c0_1 (a468))/\((c3_1 (a468))/\(~(c2_1 (a468))))))) -> ((~(hskp6))\/((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> ((hskp5)\/(hskp11)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((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))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H242 zenon_H243 zenon_H244 zenon_He1 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb zenon_H19a zenon_H197 zenon_H194 zenon_H17b zenon_H7f zenon_H48 zenon_H4b zenon_H5 zenon_Hc zenon_H8 zenon_H239 zenon_H23a zenon_H23b zenon_H1ff zenon_H29 zenon_H16e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.76/0.94 apply (zenon_L280_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.76/0.94 apply (zenon_L269_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L117_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 apply (zenon_L278_); trivial. % 0.76/0.94 (* end of lemma zenon_L281_ *) % 0.76/0.94 assert (zenon_L282_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(hskp6)) -> (~(hskp10)) -> (~(hskp3)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H29 zenon_H1ff zenon_H8 zenon_H23b zenon_H23a zenon_H239 zenon_H53 zenon_H2c zenon_H51 zenon_H5e zenon_H61 zenon_H65. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L26_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L282_ *) % 0.76/0.94 assert (zenon_L283_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (ndr1_0) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd4 zenon_Hfd zenon_Hfb zenon_H33 zenon_H3d zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H7 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_L270_); trivial. % 0.76/0.94 (* end of lemma zenon_L283_ *) % 0.76/0.94 assert (zenon_L284_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H10a zenon_Hd4 zenon_Hc4 zenon_H32 zenon_H33 zenon_H3d zenon_H79 zenon_H7b zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_L71_); trivial. % 0.76/0.94 (* end of lemma zenon_L284_ *) % 0.76/0.94 assert (zenon_L285_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H11f zenon_H79 zenon_H7b zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.94 apply (zenon_L283_); trivial. % 0.76/0.94 apply (zenon_L284_); trivial. % 0.76/0.94 (* end of lemma zenon_L285_ *) % 0.76/0.94 assert (zenon_L286_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H79 zenon_H7b zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L14_); trivial. % 0.76/0.94 apply (zenon_L285_); trivial. % 0.76/0.94 (* end of lemma zenon_L286_ *) % 0.76/0.94 assert (zenon_L287_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H11f zenon_H15d zenon_H139 zenon_H84 zenon_H83 zenon_H82 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.94 apply (zenon_L283_); trivial. % 0.76/0.94 apply (zenon_L99_); trivial. % 0.76/0.94 (* end of lemma zenon_L287_ *) % 0.76/0.94 assert (zenon_L288_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_H11f zenon_H15d zenon_H139 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L14_); trivial. % 0.76/0.94 apply (zenon_L287_); trivial. % 0.76/0.94 (* end of lemma zenon_L288_ *) % 0.76/0.94 assert (zenon_L289_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_H23b zenon_H23a zenon_H239 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L102_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L289_ *) % 0.76/0.94 assert (zenon_L290_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H101 zenon_H100 zenon_Haa zenon_H7 zenon_H79. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.76/0.94 apply (zenon_L28_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.76/0.94 apply (zenon_L69_); trivial. % 0.76/0.94 exact (zenon_H79 zenon_H7a). % 0.76/0.94 (* end of lemma zenon_L290_ *) % 0.76/0.94 assert (zenon_L291_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H10a zenon_Hd4 zenon_Hc4 zenon_H66 zenon_H67 zenon_H68 zenon_H79 zenon_H7b zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.76/0.94 apply (zenon_L290_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.76/0.94 apply (zenon_L46_); trivial. % 0.76/0.94 apply (zenon_L47_); trivial. % 0.76/0.94 (* end of lemma zenon_L291_ *) % 0.76/0.94 assert (zenon_L292_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H79 zenon_H7b zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.94 apply (zenon_L283_); trivial. % 0.76/0.94 apply (zenon_L291_); trivial. % 0.76/0.94 (* end of lemma zenon_L292_ *) % 0.76/0.94 assert (zenon_L293_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H79 zenon_H7b zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L292_); trivial. % 0.76/0.94 (* end of lemma zenon_L293_ *) % 0.76/0.94 assert (zenon_L294_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_H7b zenon_H79 zenon_H68 zenon_H67 zenon_H66 zenon_H11f zenon_Hd9. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.94 apply (zenon_L293_); trivial. % 0.76/0.94 apply (zenon_L229_); trivial. % 0.76/0.94 (* end of lemma zenon_L294_ *) % 0.76/0.94 assert (zenon_L295_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H15d zenon_H139 zenon_H84 zenon_H83 zenon_H82 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L287_); trivial. % 0.76/0.94 (* end of lemma zenon_L295_ *) % 0.76/0.94 assert (zenon_L296_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H9e zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_H139 zenon_H15d zenon_H11f zenon_Hd9. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.94 apply (zenon_L295_); trivial. % 0.76/0.94 apply (zenon_L229_); trivial. % 0.76/0.94 (* end of lemma zenon_L296_ *) % 0.76/0.94 assert (zenon_L297_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_H139 zenon_H15d zenon_Hd9 zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hf9 zenon_H11e zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.94 apply (zenon_L58_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_L294_); trivial. % 0.76/0.94 apply (zenon_L296_); trivial. % 0.76/0.94 (* end of lemma zenon_L297_ *) % 0.76/0.94 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_He2 zenon_H29 zenon_H1ff zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H7b zenon_H11f zenon_Hd9 zenon_H15d zenon_H139 zenon_Ha3 zenon_Hdb. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L297_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L298_ *) % 0.76/0.94 assert (zenon_L299_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H19b zenon_He5 zenon_H29 zenon_H1ff zenon_H8 zenon_H7f zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H15d zenon_H139 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H159 zenon_Ha3 zenon_Hdb zenon_H9f zenon_H3c zenon_He1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.94 apply (zenon_L58_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_L273_); trivial. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 apply (zenon_L289_); trivial. % 0.76/0.94 apply (zenon_L298_); trivial. % 0.76/0.94 (* end of lemma zenon_L299_ *) % 0.76/0.94 assert (zenon_L300_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(hskp21)) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (ndr1_0) -> (c0_1 (a473)) -> (c1_1 (a473)) -> (c3_1 (a473)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hc4 zenon_H17f zenon_H17e zenon_H17d zenon_H4f zenon_H170 zenon_H171 zenon_H172 zenon_H20b zenon_H20c zenon_H1d5 zenon_H7 zenon_Hba zenon_Hbb zenon_Hbc. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.76/0.94 apply (zenon_L112_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.76/0.94 apply (zenon_L221_); trivial. % 0.76/0.94 apply (zenon_L47_); trivial. % 0.76/0.94 (* end of lemma zenon_L300_ *) % 0.76/0.94 assert (zenon_L301_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hde zenon_Hd4 zenon_H1ff zenon_H8 zenon_H23b zenon_H23a zenon_H239 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H18 | zenon_intro zenon_H200 ]. % 0.76/0.94 apply (zenon_L238_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H30 | zenon_intro zenon_H9 ]. % 0.76/0.94 apply (zenon_L268_); trivial. % 0.76/0.94 exact (zenon_H8 zenon_H9). % 0.76/0.94 (* end of lemma zenon_L301_ *) % 0.76/0.94 assert (zenon_L302_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H79 zenon_H7b zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L14_); trivial. % 0.76/0.94 apply (zenon_L292_); trivial. % 0.76/0.94 (* end of lemma zenon_L302_ *) % 0.76/0.94 assert (zenon_L303_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H2e zenon_Ha zenon_H2c zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H11f zenon_Hd9. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_L302_); trivial. % 0.76/0.94 apply (zenon_L52_); trivial. % 0.76/0.94 (* end of lemma zenon_L303_ *) % 0.76/0.94 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_He2 zenon_He1 zenon_Ha3 zenon_H9f zenon_H7b zenon_H7f zenon_Hd9 zenon_H11f zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H2e zenon_Hdb zenon_H65 zenon_H61 zenon_H5e zenon_H2c zenon_H53 zenon_H239 zenon_H23a zenon_H23b zenon_H8 zenon_H1ff zenon_H29. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.94 apply (zenon_L282_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.94 apply (zenon_L40_); trivial. % 0.76/0.94 apply (zenon_L303_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L304_ *) % 0.76/0.94 assert (zenon_L305_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hdb zenon_Hd4 zenon_H19a zenon_H197 zenon_H51 zenon_H17e zenon_H17f zenon_Hc4 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.94 apply (zenon_L58_); trivial. % 0.76/0.94 apply (zenon_L264_); trivial. % 0.76/0.94 (* end of lemma zenon_L305_ *) % 0.76/0.94 assert (zenon_L306_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H29 zenon_H1ff zenon_H8 zenon_H23b zenon_H23a zenon_H239 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_Hc4 zenon_H17f zenon_H17e zenon_H51 zenon_H197 zenon_H19a zenon_Hd4 zenon_Hdb. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L305_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L306_ *) % 0.76/0.94 assert (zenon_L307_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H3f zenon_H7 zenon_He6 zenon_H81 zenon_He7 zenon_He8. % 0.76/0.94 generalize (zenon_H3f (a471)). zenon_intro zenon_H24a. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H6 | zenon_intro zenon_H24b ]. % 0.76/0.94 exact (zenon_H6 zenon_H7). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hec | zenon_intro zenon_H21e ]. % 0.76/0.94 exact (zenon_He6 zenon_Hec). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21f | zenon_intro zenon_Hed ]. % 0.76/0.94 generalize (zenon_H81 (a471)). zenon_intro zenon_H24c. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H6 | zenon_intro zenon_H24d ]. % 0.76/0.94 exact (zenon_H6 zenon_H7). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H223 | zenon_intro zenon_H24e ]. % 0.76/0.94 exact (zenon_H21f zenon_H223). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Hec | zenon_intro zenon_Hee ]. % 0.76/0.94 exact (zenon_He6 zenon_Hec). % 0.76/0.94 exact (zenon_He7 zenon_Hee). % 0.76/0.94 exact (zenon_Hed zenon_He8). % 0.76/0.94 (* end of lemma zenon_L307_ *) % 0.76/0.94 assert (zenon_L308_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c1_1 (a471))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H7b zenon_He8 zenon_He7 zenon_H81 zenon_He6 zenon_H101 zenon_H100 zenon_Haa zenon_H7 zenon_H79. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 0.76/0.94 apply (zenon_L307_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6f | zenon_intro zenon_H7a ]. % 0.76/0.94 apply (zenon_L69_); trivial. % 0.76/0.94 exact (zenon_H79 zenon_H7a). % 0.76/0.94 (* end of lemma zenon_L308_ *) % 0.76/0.94 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (~(hskp17)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hc3 zenon_H9f zenon_H3a zenon_H7b zenon_He8 zenon_He7 zenon_He6 zenon_H101 zenon_H100 zenon_H79 zenon_Hc4 zenon_H17f zenon_H17e zenon_H1bc zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H95 zenon_H96 zenon_H97. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.76/0.94 apply (zenon_L262_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.76/0.94 apply (zenon_L308_); trivial. % 0.76/0.94 exact (zenon_H3a zenon_H3b). % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.76/0.94 apply (zenon_L46_); trivial. % 0.76/0.94 apply (zenon_L38_); trivial. % 0.76/0.94 (* end of lemma zenon_L309_ *) % 0.76/0.94 assert (zenon_L310_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H17f zenon_H17e zenon_H7b zenon_H79 zenon_H3a zenon_H1bc zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.94 apply (zenon_L283_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_L309_); trivial. % 0.76/0.94 (* end of lemma zenon_L310_ *) % 0.76/0.94 assert (zenon_L311_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_Hd9 zenon_H11f zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H17f zenon_H17e zenon_H7b zenon_H3a zenon_H1bc zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.94 apply (zenon_L310_); trivial. % 0.76/0.94 apply (zenon_L229_); trivial. % 0.76/0.94 apply (zenon_L52_); trivial. % 0.76/0.94 (* end of lemma zenon_L311_ *) % 0.76/0.94 assert (zenon_L312_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_Hd9 zenon_H11f zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H17f zenon_H17e zenon_H7b zenon_H3a zenon_H1bc zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hf9 zenon_H11e zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.94 apply (zenon_L58_); trivial. % 0.76/0.94 apply (zenon_L311_); trivial. % 0.76/0.94 (* end of lemma zenon_L312_ *) % 0.76/0.94 assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H1bc zenon_H3a zenon_H7b zenon_H17e zenon_H17f zenon_H9f zenon_H11f zenon_Hd9 zenon_Ha3 zenon_Hdb. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L312_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L313_ *) % 0.76/0.94 assert (zenon_L314_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_L294_); trivial. % 0.76/0.94 apply (zenon_L52_); trivial. % 0.76/0.94 (* end of lemma zenon_L314_ *) % 0.76/0.94 assert (zenon_L315_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hf9 zenon_H11e zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.94 apply (zenon_L58_); trivial. % 0.76/0.94 apply (zenon_L314_); trivial. % 0.76/0.94 (* end of lemma zenon_L315_ *) % 0.76/0.94 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H11f zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.94 apply (zenon_L315_); trivial. % 0.76/0.94 apply (zenon_L275_); trivial. % 0.76/0.94 (* end of lemma zenon_L316_ *) % 0.76/0.94 assert (zenon_L317_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H19b zenon_He5 zenon_H29 zenon_H1ff zenon_H8 zenon_H23b zenon_H23a zenon_H239 zenon_H7f zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_Hc4 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hd4 zenon_Hdb zenon_Ha3 zenon_Hd9 zenon_H11f zenon_H9f zenon_H7b zenon_H1bc zenon_Hfd zenon_Hf9 zenon_H11e zenon_He1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.94 apply (zenon_L306_); trivial. % 0.76/0.94 apply (zenon_L313_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.94 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.94 apply (zenon_L306_); trivial. % 0.76/0.94 apply (zenon_L316_); trivial. % 0.76/0.94 (* end of lemma zenon_L317_ *) % 0.76/0.94 assert (zenon_L318_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp26)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (ndr1_0) -> (~(hskp9)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp4)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H15d zenon_H84 zenon_H83 zenon_H82 zenon_Hfb zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H3d zenon_H33 zenon_H7 zenon_H3a zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H139. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H81 | zenon_intro zenon_H15e ]. % 0.76/0.94 apply (zenon_L35_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H13a ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.76/0.94 apply (zenon_L268_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.76/0.94 apply (zenon_L127_); trivial. % 0.76/0.94 exact (zenon_Hfb zenon_Hfc). % 0.76/0.94 exact (zenon_H139 zenon_H13a). % 0.76/0.94 (* end of lemma zenon_L318_ *) % 0.76/0.94 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp9)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp4)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H10a zenon_H15d zenon_H84 zenon_H83 zenon_H82 zenon_H3a zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7d zenon_H1bc zenon_H139. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H81 | zenon_intro zenon_H15e ]. % 0.76/0.94 apply (zenon_L35_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H13a ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.76/0.94 apply (zenon_L126_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.76/0.94 apply (zenon_L212_); trivial. % 0.76/0.94 exact (zenon_H3a zenon_H3b). % 0.76/0.94 exact (zenon_H139 zenon_H13a). % 0.76/0.94 (* end of lemma zenon_L319_ *) % 0.76/0.94 assert (zenon_L320_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_H11f zenon_H1b0 zenon_H7d zenon_Hfd zenon_H19e zenon_H19f zenon_H1a0 zenon_H3a zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H139 zenon_H15d zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L14_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.94 apply (zenon_L318_); trivial. % 0.76/0.94 apply (zenon_L319_); trivial. % 0.76/0.94 (* end of lemma zenon_L320_ *) % 0.76/0.94 assert (zenon_L321_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (ndr1_0) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp26)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H3d zenon_H33 zenon_H7 zenon_H19e zenon_H19f zenon_H1a0 zenon_H121 zenon_H122 zenon_H123 zenon_H1be zenon_Hfb. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.76/0.94 apply (zenon_L268_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.76/0.94 apply (zenon_L130_); trivial. % 0.76/0.94 exact (zenon_Hfb zenon_Hfc). % 0.76/0.94 (* end of lemma zenon_L321_ *) % 0.76/0.94 assert (zenon_L322_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H11f zenon_H15d zenon_H139 zenon_H84 zenon_H83 zenon_H82 zenon_H239 zenon_H23a zenon_H23b zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H123 zenon_H122 zenon_H121 zenon_Hfd. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.94 apply (zenon_L321_); trivial. % 0.76/0.94 apply (zenon_L99_); trivial. % 0.76/0.94 (* end of lemma zenon_L322_ *) % 0.76/0.94 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H11f zenon_H15d zenon_H139 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_L132_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L14_); trivial. % 0.76/0.94 apply (zenon_L322_); trivial. % 0.76/0.94 (* end of lemma zenon_L323_ *) % 0.76/0.94 assert (zenon_L324_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H163 zenon_H7b zenon_H1be zenon_H65 zenon_H1b2 zenon_H19e zenon_H19f zenon_H1a0 zenon_H7d zenon_H1b0 zenon_H51 zenon_H2c zenon_H53 zenon_H2e zenon_Ha zenon_H15d zenon_H139 zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_Hfd zenon_H11f zenon_Hd9 zenon_Ha3. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.94 apply (zenon_L125_); trivial. % 0.76/0.94 apply (zenon_L320_); trivial. % 0.76/0.94 apply (zenon_L323_); trivial. % 0.76/0.94 (* end of lemma zenon_L324_ *) % 0.76/0.94 assert (zenon_L325_ : ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(hskp23)) -> (~(hskp20)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H24f zenon_H3a zenon_H250 zenon_H2a. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H3b | zenon_intro zenon_H251 ]. % 0.76/0.94 exact (zenon_H3a zenon_H3b). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H252 | zenon_intro zenon_H2b ]. % 0.76/0.94 exact (zenon_H250 zenon_H252). % 0.76/0.94 exact (zenon_H2a zenon_H2b). % 0.76/0.94 (* end of lemma zenon_L325_ *) % 0.76/0.94 assert (zenon_L326_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H75 zenon_H7 zenon_H201 zenon_Hf zenon_Hd zenon_He. % 0.76/0.94 generalize (zenon_H75 (a478)). zenon_intro zenon_H253. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_H6 | zenon_intro zenon_H254 ]. % 0.76/0.94 exact (zenon_H6 zenon_H7). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H255 | zenon_intro zenon_H14 ]. % 0.76/0.94 generalize (zenon_H201 (a478)). zenon_intro zenon_H256. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H256); [ zenon_intro zenon_H6 | zenon_intro zenon_H257 ]. % 0.76/0.94 exact (zenon_H6 zenon_H7). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H15 | zenon_intro zenon_H258 ]. % 0.76/0.94 exact (zenon_Hf zenon_H15). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H259 | zenon_intro zenon_H16 ]. % 0.76/0.94 exact (zenon_H259 zenon_H255). % 0.76/0.94 exact (zenon_H16 zenon_Hd). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H14); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.76/0.94 exact (zenon_He zenon_H17). % 0.76/0.94 exact (zenon_H16 zenon_Hd). % 0.76/0.94 (* end of lemma zenon_L326_ *) % 0.76/0.94 assert (zenon_L327_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(c0_1 (a478))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hf9 zenon_He zenon_Hd zenon_Hf zenon_H201 zenon_H7 zenon_Hf7 zenon_H2a. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hfa ]. % 0.76/0.94 apply (zenon_L326_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2b ]. % 0.76/0.94 exact (zenon_Hf7 zenon_Hf8). % 0.76/0.94 exact (zenon_H2a zenon_H2b). % 0.76/0.94 (* end of lemma zenon_L327_ *) % 0.76/0.94 assert (zenon_L328_ : (forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a533))) -> (~(c3_1 (a533))) -> (c0_1 (a533)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H224 zenon_H7 zenon_H25a zenon_H25b zenon_H25c. % 0.76/0.94 generalize (zenon_H224 (a533)). zenon_intro zenon_H25d. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_H6 | zenon_intro zenon_H25e ]. % 0.76/0.94 exact (zenon_H6 zenon_H7). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 0.76/0.94 exact (zenon_H25a zenon_H260). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ]. % 0.76/0.94 exact (zenon_H25b zenon_H262). % 0.76/0.94 exact (zenon_H261 zenon_H25c). % 0.76/0.94 (* end of lemma zenon_L328_ *) % 0.76/0.94 assert (zenon_L329_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> (~(hskp20)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H263 zenon_H264 zenon_Hf zenon_Hd zenon_He zenon_Hf7 zenon_Hf9 zenon_H3a zenon_H2a zenon_H24f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.76/0.94 apply (zenon_L325_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H201 | zenon_intro zenon_H268 ]. % 0.76/0.94 apply (zenon_L327_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H224 | zenon_intro zenon_H3b ]. % 0.76/0.94 apply (zenon_L328_); trivial. % 0.76/0.94 exact (zenon_H3a zenon_H3b). % 0.76/0.94 (* end of lemma zenon_L329_ *) % 0.76/0.94 assert (zenon_L330_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp9)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H11e zenon_H263 zenon_H264 zenon_Hf zenon_Hd zenon_He zenon_Hf9 zenon_H3a zenon_H24f zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_H7b zenon_H79 zenon_H11f zenon_Hd9. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L329_); trivial. % 0.76/0.94 apply (zenon_L285_); trivial. % 0.76/0.94 apply (zenon_L229_); trivial. % 0.76/0.94 (* end of lemma zenon_L330_ *) % 0.76/0.94 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp14)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H235 zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.76/0.95 apply (zenon_L121_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.76/0.95 apply (zenon_L243_); trivial. % 0.76/0.95 exact (zenon_H7d zenon_H7e). % 0.76/0.95 (* end of lemma zenon_L331_ *) % 0.76/0.95 assert (zenon_L332_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp5)) -> (~(hskp14)) -> ((hskp25)\/((hskp5)\/(hskp14))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H238 zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H1 zenon_H7d zenon_H269. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H229 | zenon_intro zenon_H26a ]. % 0.76/0.95 exact (zenon_H228 zenon_H229). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H2 | zenon_intro zenon_H7e ]. % 0.76/0.95 exact (zenon_H1 zenon_H2). % 0.76/0.95 exact (zenon_H7d zenon_H7e). % 0.76/0.95 apply (zenon_L331_); trivial. % 0.76/0.95 (* end of lemma zenon_L332_ *) % 0.76/0.95 assert (zenon_L333_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(c0_1 (a478))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hd9 zenon_H11f zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H24f zenon_H3a zenon_Hf9 zenon_He zenon_Hd zenon_Hf zenon_H264 zenon_H263 zenon_H11e. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L330_); trivial. % 0.76/0.95 apply (zenon_L52_); trivial. % 0.76/0.95 (* end of lemma zenon_L333_ *) % 0.76/0.95 assert (zenon_L334_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H15d zenon_H139 zenon_H2e zenon_Ha zenon_H2c zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H11f zenon_Hd9. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L302_); trivial. % 0.76/0.95 apply (zenon_L288_); trivial. % 0.76/0.95 (* end of lemma zenon_L334_ *) % 0.76/0.95 assert (zenon_L335_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_He2 zenon_H29 zenon_H1ff zenon_H8 zenon_Ha3 zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H21a zenon_H2e zenon_H2c zenon_Hd4 zenon_H1b0 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha6 zenon_Hd2 zenon_Hd9 zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_H139 zenon_H15d zenon_Hdb. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_L250_); trivial. % 0.76/0.95 apply (zenon_L334_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L335_ *) % 0.76/0.95 assert (zenon_L336_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp21)\/((hskp10)\/(hskp6))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H29 zenon_H1ff zenon_H8 zenon_H163 zenon_H7b zenon_H1be zenon_H65 zenon_H1b2 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H51 zenon_H2c zenon_H53 zenon_H2e zenon_H15d zenon_H139 zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_Hfd zenon_H11f zenon_Hd9 zenon_Ha3 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H1c0 zenon_H1c2 zenon_H19a zenon_Hdb. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_L324_); trivial. % 0.76/0.95 apply (zenon_L136_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L336_ *) % 0.76/0.95 assert (zenon_L337_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c0_1 X39)\/((c3_1 X39)\/(~(c2_1 X39))))))\/((hskp0)\/(hskp12))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H23b zenon_H23a zenon_H239 zenon_H1c4 zenon_Hef zenon_H1a0 zenon_H19f zenon_H19e zenon_H8 zenon_Hc. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L138_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L337_ *) % 0.76/0.95 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a512))/\((c3_1 (a512))/\(~(c1_1 (a512))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp21))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c3_1 (a475))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_H23b zenon_H23a zenon_H239 zenon_H163 zenon_H2e zenon_H2c zenon_H7b zenon_H1be zenon_Hd9 zenon_H65 zenon_H1b2 zenon_H1b0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1d5 zenon_H172 zenon_H171 zenon_H170 zenon_H14b zenon_H14d zenon_H14c zenon_H1c0 zenon_H1c2 zenon_H7f zenon_H9f zenon_Ha3 zenon_H17b zenon_H19a zenon_Hdb. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L156_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L338_ *) % 0.76/0.95 assert (zenon_L339_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp9)) -> (ndr1_0) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp26)) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H3a zenon_H7 zenon_H33 zenon_H3d zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_Hf3 zenon_H79 zenon_H1bc zenon_Hfb. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.76/0.95 apply (zenon_L268_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.76/0.95 apply (zenon_L167_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.76/0.95 apply (zenon_L44_); trivial. % 0.76/0.95 exact (zenon_H3a zenon_H3b). % 0.76/0.95 exact (zenon_Hfb zenon_Hfc). % 0.76/0.95 (* end of lemma zenon_L339_ *) % 0.76/0.95 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp16)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H10a zenon_H1bc zenon_Hf3 zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H79 zenon_H32 zenon_H33 zenon_H3d zenon_H7b zenon_H3a. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.76/0.95 apply (zenon_L167_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.76/0.95 apply (zenon_L70_); trivial. % 0.76/0.95 exact (zenon_H3a zenon_H3b). % 0.76/0.95 (* end of lemma zenon_L340_ *) % 0.76/0.95 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H4a zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_Hf3 zenon_H79 zenon_H1b2 zenon_Hfd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.95 apply (zenon_L339_); trivial. % 0.76/0.95 apply (zenon_L340_); trivial. % 0.76/0.95 (* end of lemma zenon_L341_ *) % 0.76/0.95 assert (zenon_L342_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_Hf3 zenon_H79 zenon_H1b2 zenon_Hfd zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_L14_); trivial. % 0.76/0.95 apply (zenon_L341_); trivial. % 0.76/0.95 (* end of lemma zenon_L342_ *) % 0.76/0.95 assert (zenon_L343_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H4a zenon_H11f zenon_H7d zenon_H1b0 zenon_H239 zenon_H23a zenon_H23b zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H123 zenon_H122 zenon_H121 zenon_Hfd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.95 apply (zenon_L321_); trivial. % 0.76/0.95 apply (zenon_L213_); trivial. % 0.76/0.95 (* end of lemma zenon_L343_ *) % 0.76/0.95 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H166 zenon_Hd9 zenon_H11f zenon_H7d zenon_H1b0 zenon_H239 zenon_H23a zenon_H23b zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_Hfd zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_L14_); trivial. % 0.76/0.95 apply (zenon_L343_); trivial. % 0.76/0.95 (* end of lemma zenon_L344_ *) % 0.76/0.95 assert (zenon_L345_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H163 zenon_H1be zenon_Hd9 zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_Hfd zenon_H2c zenon_Ha zenon_H2e zenon_H15d zenon_H139 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7d zenon_H1b0 zenon_Ha3. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L342_); trivial. % 0.76/0.95 apply (zenon_L320_); trivial. % 0.76/0.95 apply (zenon_L344_); trivial. % 0.76/0.95 (* end of lemma zenon_L345_ *) % 0.76/0.95 assert (zenon_L346_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hdb zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_Ha3 zenon_H1b0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H139 zenon_H15d zenon_H2e zenon_Ha zenon_H2c zenon_Hfd zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H3a zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H7b zenon_H11f zenon_Hd9 zenon_H1be zenon_H163. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_L345_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L342_); trivial. % 0.76/0.95 apply (zenon_L288_); trivial. % 0.76/0.95 apply (zenon_L323_); trivial. % 0.76/0.95 (* end of lemma zenon_L346_ *) % 0.76/0.95 assert (zenon_L347_ : ((ndr1_0)/\((c3_1 (a474))/\((~(c1_1 (a474)))/\(~(c2_1 (a474)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H26b zenon_He5 zenon_H7f zenon_Hd3 zenon_Ha6 zenon_Hd2 zenon_Hdb zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_Ha3 zenon_H1b0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H139 zenon_H15d zenon_H2e zenon_H2c zenon_Hfd zenon_H1b2 zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H7b zenon_H11f zenon_Hd9 zenon_H1be zenon_H163 zenon_H8 zenon_H1ff zenon_H29. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.76/0.95 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L346_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 apply (zenon_L335_); trivial. % 0.76/0.95 (* end of lemma zenon_L347_ *) % 0.76/0.95 assert (zenon_L348_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H11e zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H121 zenon_H122 zenon_H123 zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H79 zenon_H1be zenon_Hd9. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.95 apply (zenon_L184_); trivial. % 0.76/0.95 apply (zenon_L229_); trivial. % 0.76/0.95 (* end of lemma zenon_L348_ *) % 0.76/0.95 assert (zenon_L349_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H9e zenon_H11e zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H123 zenon_H122 zenon_H121 zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_H20a zenon_H20b zenon_H20c zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H21a zenon_H139 zenon_H15d zenon_H11f zenon_Hd9. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.95 apply (zenon_L295_); trivial. % 0.76/0.95 apply (zenon_L185_); trivial. % 0.76/0.95 (* end of lemma zenon_L349_ *) % 0.76/0.95 assert (zenon_L350_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hdb zenon_H163 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H11e zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_Hf9 zenon_Hfd zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H3a zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H7b zenon_H11f zenon_Hd9 zenon_H15d zenon_H139 zenon_Ha3 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_L58_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_L64_); trivial. % 0.76/0.95 apply (zenon_L341_); trivial. % 0.76/0.95 apply (zenon_L229_); trivial. % 0.76/0.95 apply (zenon_L296_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L348_); trivial. % 0.76/0.95 apply (zenon_L349_); trivial. % 0.76/0.95 (* end of lemma zenon_L350_ *) % 0.76/0.95 assert (zenon_L351_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H29 zenon_H1ff zenon_H8 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Ha3 zenon_H139 zenon_H15d zenon_Hd9 zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_Hfd zenon_Hf9 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_Hd4 zenon_H11e zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_H163 zenon_Hdb. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L350_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L351_ *) % 0.76/0.95 assert (zenon_L352_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hdb zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H51 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_H11f zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hf9 zenon_H11e zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_L58_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L294_); trivial. % 0.76/0.95 apply (zenon_L147_); trivial. % 0.76/0.95 (* end of lemma zenon_L352_ *) % 0.76/0.95 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_Hdb zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_H11f zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hf9 zenon_H11e zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H8 zenon_H1ff zenon_H29. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.95 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L352_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 apply (zenon_L316_); trivial. % 0.76/0.95 (* end of lemma zenon_L353_ *) % 0.76/0.95 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_Ha3 zenon_H9f zenon_H7f zenon_H2e zenon_H2c zenon_Hd4 zenon_H1b0 zenon_H66 zenon_H67 zenon_H68 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha6 zenon_Hd2 zenon_Hd9 zenon_H11f zenon_H7b zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hdb. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L164_); trivial. % 0.76/0.95 apply (zenon_L39_); trivial. % 0.76/0.95 apply (zenon_L303_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L354_ *) % 0.76/0.95 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> (~(hskp0)) -> ((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))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_H11f zenon_H7b zenon_Hfd zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_Hc4 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Hd9 zenon_Hd2 zenon_Ha6 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_H1b0 zenon_Hd4 zenon_H2c zenon_H2e zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_Ha3 zenon_H239 zenon_H23a zenon_H23b zenon_H8 zenon_H1ff zenon_H29. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.95 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L265_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 apply (zenon_L354_); trivial. % 0.76/0.95 (* end of lemma zenon_L355_ *) % 0.76/0.95 assert (zenon_L356_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7d zenon_H7f zenon_H2e zenon_Ha zenon_H2c zenon_Hfd zenon_H1b2 zenon_Hf3 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H3a zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H7b zenon_H11f zenon_Hd9. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L342_); trivial. % 0.76/0.95 apply (zenon_L39_); trivial. % 0.76/0.95 (* end of lemma zenon_L356_ *) % 0.76/0.95 assert (zenon_L357_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H163 zenon_H1b0 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_Hd9 zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_Hfd zenon_H2c zenon_Ha zenon_H2e zenon_H7f zenon_H7d zenon_H95 zenon_H96 zenon_H97 zenon_H9f zenon_Ha3. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.95 apply (zenon_L356_); trivial. % 0.76/0.95 apply (zenon_L344_); trivial. % 0.76/0.95 (* end of lemma zenon_L357_ *) % 0.76/0.95 assert (zenon_L358_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_Hf3 zenon_H79 zenon_H1b2 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_L14_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.76/0.95 apply (zenon_L283_); trivial. % 0.76/0.95 apply (zenon_L340_); trivial. % 0.76/0.95 (* end of lemma zenon_L358_ *) % 0.76/0.95 assert (zenon_L359_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hde zenon_H163 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_Hd9 zenon_H11f zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_H2c zenon_Ha zenon_H2e zenon_H95 zenon_H96 zenon_H97 zenon_H9f zenon_Ha3. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.76/0.95 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.76/0.95 apply (zenon_L358_); trivial. % 0.76/0.95 apply (zenon_L52_); trivial. % 0.76/0.95 apply (zenon_L176_); trivial. % 0.76/0.95 (* end of lemma zenon_L359_ *) % 0.76/0.95 assert (zenon_L360_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hdb zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_Hd4 zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7f zenon_H2e zenon_Ha zenon_H2c zenon_Hfd zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H3a zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H7b zenon_H11f zenon_Hd9 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_H1b0 zenon_H163. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.76/0.95 apply (zenon_L357_); trivial. % 0.76/0.95 apply (zenon_L359_); trivial. % 0.76/0.95 (* end of lemma zenon_L360_ *) % 0.76/0.95 assert (zenon_L361_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((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))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hda zenon_H29 zenon_H1ff zenon_H8 zenon_H163 zenon_H1b0 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_Hd9 zenon_H11f zenon_H7b zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_Hfd zenon_H2c zenon_H2e zenon_H7f zenon_H9f zenon_Ha3 zenon_Hd4 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_Hdb. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.76/0.95 apply (zenon_L360_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L361_ *) % 0.76/0.95 assert (zenon_L362_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H26e zenon_H7 zenon_H26f zenon_H270 zenon_H271. % 0.76/0.95 generalize (zenon_H26e (a460)). zenon_intro zenon_H272. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H6 | zenon_intro zenon_H273 ]. % 0.76/0.95 exact (zenon_H6 zenon_H7). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.76/0.95 exact (zenon_H26f zenon_H275). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.76/0.95 exact (zenon_H270 zenon_H277). % 0.76/0.95 exact (zenon_H276 zenon_H271). % 0.76/0.95 (* end of lemma zenon_L362_ *) % 0.76/0.95 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp12)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H265 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_Ha. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H224 | zenon_intro zenon_H279 ]. % 0.76/0.95 apply (zenon_L328_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26e | zenon_intro zenon_Hb ]. % 0.76/0.95 apply (zenon_L362_); trivial. % 0.76/0.95 exact (zenon_Ha zenon_Hb). % 0.76/0.95 (* end of lemma zenon_L363_ *) % 0.76/0.95 assert (zenon_L364_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp9)) -> (~(hskp20)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H263 zenon_H278 zenon_Ha zenon_H271 zenon_H270 zenon_H26f zenon_H3a zenon_H2a zenon_H24f. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.76/0.95 apply (zenon_L325_); trivial. % 0.76/0.95 apply (zenon_L363_); trivial. % 0.76/0.95 (* end of lemma zenon_L364_ *) % 0.76/0.95 assert (zenon_L365_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hd9 zenon_H4b zenon_H48 zenon_H2c zenon_H3c zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278 zenon_H263. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_L364_); trivial. % 0.76/0.95 apply (zenon_L19_); trivial. % 0.76/0.95 (* end of lemma zenon_L365_ *) % 0.76/0.95 assert (zenon_L366_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (c0_1 (a533)) -> (~(c3_1 (a533))) -> (~(c1_1 (a533))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H22a zenon_H1b zenon_H1a zenon_H19 zenon_H25c zenon_H25b zenon_H25a zenon_H7 zenon_H228. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H18 | zenon_intro zenon_H22b ]. % 0.76/0.95 apply (zenon_L8_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H224 | zenon_intro zenon_H229 ]. % 0.76/0.95 apply (zenon_L328_); trivial. % 0.76/0.95 exact (zenon_H228 zenon_H229). % 0.76/0.95 (* end of lemma zenon_L366_ *) % 0.76/0.95 assert (zenon_L367_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a461)) -> (c2_1 (a461)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c0_1 (a461)) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H22e zenon_H22d zenon_H12a zenon_H22c zenon_H7 zenon_H5e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H26e | zenon_intro zenon_H27b ]. % 0.76/0.95 apply (zenon_L362_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H5f ]. % 0.76/0.95 generalize (zenon_Hb9 (a461)). zenon_intro zenon_H27c. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H6 | zenon_intro zenon_H27d ]. % 0.76/0.95 exact (zenon_H6 zenon_H7). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H232 | zenon_intro zenon_H27e ]. % 0.76/0.95 exact (zenon_H232 zenon_H22c). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H27f | zenon_intro zenon_H233 ]. % 0.76/0.95 generalize (zenon_H12a (a461)). zenon_intro zenon_H280. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H6 | zenon_intro zenon_H281 ]. % 0.76/0.95 exact (zenon_H6 zenon_H7). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H282 | zenon_intro zenon_H231 ]. % 0.76/0.95 exact (zenon_H27f zenon_H282). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H234 | zenon_intro zenon_H233 ]. % 0.76/0.95 exact (zenon_H234 zenon_H22d). % 0.76/0.95 exact (zenon_H233 zenon_H22e). % 0.76/0.95 exact (zenon_H233 zenon_H22e). % 0.76/0.95 exact (zenon_H5e zenon_H5f). % 0.76/0.95 (* end of lemma zenon_L367_ *) % 0.76/0.95 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp8)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H235 zenon_H12d zenon_H123 zenon_H122 zenon_H121 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_Hef. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H120 | zenon_intro zenon_H12e ]. % 0.76/0.95 apply (zenon_L83_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12a | zenon_intro zenon_Hf0 ]. % 0.76/0.95 apply (zenon_L367_); trivial. % 0.76/0.95 exact (zenon_Hef zenon_Hf0). % 0.76/0.95 (* end of lemma zenon_L368_ *) % 0.76/0.95 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H265 zenon_H238 zenon_H12d zenon_Hef zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H123 zenon_H122 zenon_H121 zenon_H19 zenon_H1a zenon_H1b zenon_H22a. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.95 apply (zenon_L366_); trivial. % 0.80/0.95 apply (zenon_L368_); trivial. % 0.80/0.95 (* end of lemma zenon_L369_ *) % 0.80/0.95 assert (zenon_L370_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (c1_1 (a492)) -> (c3_1 (a492)) -> False). % 0.80/0.95 do 0 intro. intros zenon_Hb9 zenon_H7 zenon_H12f zenon_H13d zenon_H13c. % 0.80/0.95 generalize (zenon_Hb9 (a492)). zenon_intro zenon_H283. % 0.80/0.95 apply (zenon_imply_s _ _ zenon_H283); [ zenon_intro zenon_H6 | zenon_intro zenon_H284 ]. % 0.80/0.95 exact (zenon_H6 zenon_H7). % 0.80/0.95 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H143 ]. % 0.80/0.95 apply (zenon_L191_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.80/0.95 exact (zenon_H146 zenon_H13d). % 0.80/0.95 exact (zenon_H145 zenon_H13c). % 0.80/0.95 (* end of lemma zenon_L370_ *) % 0.80/0.95 assert (zenon_L371_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a492)) -> (c1_1 (a492)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H13c zenon_H13d zenon_H12f zenon_H7 zenon_H5e. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H26e | zenon_intro zenon_H27b ]. % 0.80/0.95 apply (zenon_L362_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H5f ]. % 0.80/0.95 apply (zenon_L370_); trivial. % 0.80/0.95 exact (zenon_H5e zenon_H5f). % 0.80/0.95 (* end of lemma zenon_L371_ *) % 0.80/0.95 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H147 zenon_H285 zenon_H1b zenon_H1a zenon_H19 zenon_H5e zenon_H27a zenon_H26f zenon_H270 zenon_H271. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.95 apply (zenon_L8_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.95 apply (zenon_L371_); trivial. % 0.80/0.95 apply (zenon_L362_); trivial. % 0.80/0.95 (* end of lemma zenon_L372_ *) % 0.80/0.95 assert (zenon_L373_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(hskp9)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H24 zenon_H164 zenon_H285 zenon_Hf5 zenon_Hef zenon_H263 zenon_H238 zenon_H12d zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H22a zenon_H3a zenon_H24f zenon_Hd9 zenon_H163. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.95 apply (zenon_L62_); trivial. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.95 apply (zenon_L325_); trivial. % 0.80/0.95 apply (zenon_L369_); trivial. % 0.80/0.95 apply (zenon_L85_); trivial. % 0.80/0.95 apply (zenon_L372_); trivial. % 0.80/0.95 (* end of lemma zenon_L373_ *) % 0.80/0.95 assert (zenon_L374_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp9)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H29 zenon_H164 zenon_H285 zenon_Hf5 zenon_Hef zenon_H238 zenon_H12d zenon_H5e zenon_H27a zenon_H22a zenon_H163 zenon_H263 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H3a zenon_H24f zenon_H3c zenon_H2c zenon_H48 zenon_H4b zenon_Hd9. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.95 apply (zenon_L365_); trivial. % 0.80/0.95 apply (zenon_L373_); trivial. % 0.80/0.95 (* end of lemma zenon_L374_ *) % 0.80/0.95 assert (zenon_L375_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp17)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H278 zenon_H79 zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H271 zenon_H270 zenon_H26f zenon_H7 zenon_Ha. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H224 | zenon_intro zenon_H279 ]. % 0.80/0.95 apply (zenon_L240_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26e | zenon_intro zenon_Hb ]. % 0.80/0.95 apply (zenon_L362_); trivial. % 0.80/0.95 exact (zenon_Ha zenon_Hb). % 0.80/0.95 (* end of lemma zenon_L375_ *) % 0.80/0.95 assert (zenon_L376_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (c1_1 (a492)) -> (c3_1 (a492)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H9e zenon_H137 zenon_H13d zenon_H13c zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H5e. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.95 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.95 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H81 | zenon_intro zenon_H138 ]. % 0.80/0.95 apply (zenon_L35_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H12f | zenon_intro zenon_H5f ]. % 0.80/0.95 apply (zenon_L371_); trivial. % 0.80/0.95 exact (zenon_H5e zenon_H5f). % 0.80/0.95 (* end of lemma zenon_L376_ *) % 0.80/0.95 assert (zenon_L377_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H137 zenon_H5e zenon_H27a zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.95 apply (zenon_L375_); trivial. % 0.80/0.95 apply (zenon_L376_); trivial. % 0.80/0.95 (* end of lemma zenon_L377_ *) % 0.80/0.95 assert (zenon_L378_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H164 zenon_Ha3 zenon_H137 zenon_H5e zenon_H27a zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_Hf5 zenon_Hef zenon_H2e zenon_Ha zenon_H2c zenon_H12d zenon_Hd9 zenon_H163. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.95 apply (zenon_L142_); trivial. % 0.80/0.95 apply (zenon_L377_); trivial. % 0.80/0.95 (* end of lemma zenon_L378_ *) % 0.80/0.95 assert (zenon_L379_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> (ndr1_0) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H238 zenon_H7 zenon_H19 zenon_H1a zenon_H1b zenon_H7b zenon_H79 zenon_H68 zenon_H67 zenon_H66 zenon_H22a. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H18 | zenon_intro zenon_H22b ]. % 0.80/0.95 apply (zenon_L8_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H224 | zenon_intro zenon_H229 ]. % 0.80/0.95 apply (zenon_L240_); trivial. % 0.80/0.95 exact (zenon_H228 zenon_H229). % 0.80/0.95 apply (zenon_L244_); trivial. % 0.80/0.95 (* end of lemma zenon_L379_ *) % 0.80/0.95 assert (zenon_L380_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp20)) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp2)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H207 zenon_H84 zenon_H83 zenon_H82 zenon_H2a zenon_Hf7 zenon_H7 zenon_Hf zenon_Hd zenon_He zenon_Hf9 zenon_H48. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.95 apply (zenon_L35_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.95 apply (zenon_L327_); trivial. % 0.80/0.95 exact (zenon_H48 zenon_H49). % 0.80/0.95 (* end of lemma zenon_L380_ *) % 0.80/0.95 assert (zenon_L381_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a493)) -> (~(c2_1 (a493))) -> (~(c0_1 (a493))) -> (ndr1_0) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(c0_1 (a478))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> False). % 0.80/0.95 do 0 intro. intros zenon_Hd9 zenon_H12d zenon_Hef zenon_H123 zenon_H122 zenon_H121 zenon_H7 zenon_H82 zenon_H83 zenon_H84 zenon_Hf9 zenon_Hf7 zenon_He zenon_Hd zenon_Hf zenon_H48 zenon_H207. % 0.80/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.95 apply (zenon_L380_); trivial. % 0.80/0.95 apply (zenon_L85_); trivial. % 0.80/0.95 (* end of lemma zenon_L381_ *) % 0.80/0.95 assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(hskp8)) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H11b zenon_H285 zenon_H1b zenon_H1a zenon_H19 zenon_Hef zenon_H121 zenon_H122 zenon_H123 zenon_H12d zenon_H26f zenon_H270 zenon_H271. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.95 apply (zenon_L8_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.95 apply (zenon_L88_); trivial. % 0.80/0.95 apply (zenon_L362_); trivial. % 0.80/0.95 (* end of lemma zenon_L382_ *) % 0.80/0.95 assert (zenon_L383_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(c0_1 (a478))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H24 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_H238 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H22a zenon_Hd9 zenon_H12d zenon_Hf9 zenon_He zenon_Hd zenon_Hf zenon_H48 zenon_H207 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H11e zenon_Ha3 zenon_H163. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.95 apply (zenon_L62_); trivial. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.95 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.95 apply (zenon_L379_); trivial. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.95 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.95 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.95 apply (zenon_L381_); trivial. % 0.80/0.95 apply (zenon_L382_); trivial. % 0.80/0.95 apply (zenon_L372_); trivial. % 0.80/0.95 (* end of lemma zenon_L383_ *) % 0.80/0.95 assert (zenon_L384_ : ((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> False). % 0.80/0.95 do 0 intro. intros zenon_H16b zenon_H29 zenon_H238 zenon_H22a zenon_Hf9 zenon_H48 zenon_H207 zenon_H285 zenon_H11e zenon_H163 zenon_Hd9 zenon_H12d zenon_H2c zenon_H2e zenon_Hef zenon_Hf5 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H27a zenon_H5e zenon_H137 zenon_Ha3 zenon_H164. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/0.95 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.95 apply (zenon_L378_); trivial. % 0.80/0.95 apply (zenon_L383_); trivial. % 0.80/0.95 (* end of lemma zenon_L384_ *) % 0.80/0.95 assert (zenon_L385_ : (forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c1_1 (a470)) -> (c2_1 (a470)) -> (c3_1 (a470)) -> False). % 0.80/0.95 do 0 intro. intros zenon_Hb9 zenon_H7 zenon_H201 zenon_H10d zenon_H100 zenon_H101. % 0.80/0.95 generalize (zenon_Hb9 (a470)). zenon_intro zenon_H10e. % 0.80/0.95 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_H6 | zenon_intro zenon_H10f ]. % 0.80/0.95 exact (zenon_H6 zenon_H7). % 0.80/0.95 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hff | zenon_intro zenon_H110 ]. % 0.80/0.95 apply (zenon_L207_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H111 | zenon_intro zenon_H106 ]. % 0.80/0.95 exact (zenon_H111 zenon_H10d). % 0.80/0.95 exact (zenon_H106 zenon_H101). % 0.80/0.95 (* end of lemma zenon_L385_ *) % 0.80/0.95 assert (zenon_L386_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (c1_1 (a470)) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H101 zenon_H100 zenon_H10d zenon_H201 zenon_H7 zenon_H5e. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H26e | zenon_intro zenon_H27b ]. % 0.80/0.95 apply (zenon_L362_); trivial. % 0.80/0.95 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H5f ]. % 0.80/0.95 apply (zenon_L385_); trivial. % 0.80/0.95 exact (zenon_H5e zenon_H5f). % 0.80/0.95 (* end of lemma zenon_L386_ *) % 0.80/0.95 assert (zenon_L387_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a477))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> False). % 0.80/0.95 do 0 intro. intros zenon_H201 zenon_H7 zenon_H14a zenon_H95 zenon_H97 zenon_H96. % 0.80/0.95 generalize (zenon_H201 (a477)). zenon_intro zenon_H287. % 0.80/0.95 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_H6 | zenon_intro zenon_H288 ]. % 0.80/0.95 exact (zenon_H6 zenon_H7). % 0.80/0.95 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1cd | zenon_intro zenon_H9a ]. % 0.80/0.95 generalize (zenon_H14a (a477)). zenon_intro zenon_H1c6. % 0.80/0.95 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_H6 | zenon_intro zenon_H1c7 ]. % 0.80/0.95 exact (zenon_H6 zenon_H7). % 0.80/0.95 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H9b | zenon_intro zenon_H1c8 ]. % 0.80/0.95 exact (zenon_H95 zenon_H9b). % 0.80/0.95 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H9c ]. % 0.80/0.95 exact (zenon_H1c9 zenon_H1cd). % 0.80/0.95 exact (zenon_H9c zenon_H97). % 0.80/0.95 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ]. % 0.80/0.95 exact (zenon_H9d zenon_H96). % 0.80/0.95 exact (zenon_H9c zenon_H97). % 0.80/0.95 (* end of lemma zenon_L387_ *) % 0.80/0.95 assert (zenon_L388_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> (~(c3_1 (a477))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (c0_1 (a533)) -> (~(c3_1 (a533))) -> (~(c1_1 (a533))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H264 zenon_H96 zenon_H97 zenon_H95 zenon_H14a zenon_H25c zenon_H25b zenon_H25a zenon_H7 zenon_H3a. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H201 | zenon_intro zenon_H268 ]. % 0.80/0.96 apply (zenon_L387_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H224 | zenon_intro zenon_H3b ]. % 0.80/0.96 apply (zenon_L328_); trivial. % 0.80/0.96 exact (zenon_H3a zenon_H3b). % 0.80/0.96 (* end of lemma zenon_L388_ *) % 0.80/0.96 assert (zenon_L389_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a477))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(hskp9)) -> (~(hskp20)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H263 zenon_H238 zenon_H289 zenon_H95 zenon_H97 zenon_H96 zenon_H264 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H19 zenon_H1a zenon_H1b zenon_H22a zenon_H3a zenon_H2a zenon_H24f. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.96 apply (zenon_L325_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.96 apply (zenon_L366_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L367_); trivial. % 0.80/0.96 apply (zenon_L388_); trivial. % 0.80/0.96 (* end of lemma zenon_L389_ *) % 0.80/0.96 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp9)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hda zenon_H29 zenon_H22a zenon_H27a zenon_H5e zenon_H264 zenon_H289 zenon_H238 zenon_H263 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H3a zenon_H24f zenon_H3c zenon_H2c zenon_H48 zenon_H4b zenon_Hd9. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L365_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.96 apply (zenon_L389_); trivial. % 0.80/0.96 apply (zenon_L19_); trivial. % 0.80/0.96 (* end of lemma zenon_L390_ *) % 0.80/0.96 assert (zenon_L391_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_He1 zenon_H22a zenon_H289 zenon_H238 zenon_Hd9 zenon_H4b zenon_H48 zenon_H2c zenon_H3c zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H263 zenon_H15b zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_H27a zenon_H5e zenon_H264 zenon_H11f zenon_H285 zenon_H164 zenon_H29. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L365_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.96 apply (zenon_L325_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_L98_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H201 | zenon_intro zenon_H268 ]. % 0.80/0.96 apply (zenon_L386_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H224 | zenon_intro zenon_H3b ]. % 0.80/0.96 apply (zenon_L328_); trivial. % 0.80/0.96 exact (zenon_H3a zenon_H3b). % 0.80/0.96 apply (zenon_L19_); trivial. % 0.80/0.96 apply (zenon_L372_); trivial. % 0.80/0.96 apply (zenon_L390_); trivial. % 0.80/0.96 (* end of lemma zenon_L391_ *) % 0.80/0.96 assert (zenon_L392_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp2)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H10a zenon_H207 zenon_H84 zenon_H83 zenon_H82 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H48. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.96 apply (zenon_L35_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.96 apply (zenon_L386_); trivial. % 0.80/0.96 exact (zenon_H48 zenon_H49). % 0.80/0.96 (* end of lemma zenon_L392_ *) % 0.80/0.96 assert (zenon_L393_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp15)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9e zenon_H11f zenon_H207 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hf1 zenon_H48 zenon_H15b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_L98_); trivial. % 0.80/0.96 apply (zenon_L392_); trivial. % 0.80/0.96 (* end of lemma zenon_L393_ *) % 0.80/0.96 assert (zenon_L394_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp15)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Ha3 zenon_H11f zenon_H207 zenon_H5e zenon_H27a zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hf1 zenon_H48 zenon_H15b zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L375_); trivial. % 0.80/0.96 apply (zenon_L393_); trivial. % 0.80/0.96 (* end of lemma zenon_L394_ *) % 0.80/0.96 assert (zenon_L395_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H24 zenon_H164 zenon_H285 zenon_H238 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H22a zenon_H15b zenon_H48 zenon_H14b zenon_H14c zenon_H14d zenon_H51 zenon_H159 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H207 zenon_H11f zenon_Ha3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L379_); trivial. % 0.80/0.96 apply (zenon_L393_); trivial. % 0.80/0.96 apply (zenon_L372_); trivial. % 0.80/0.96 (* end of lemma zenon_L395_ *) % 0.80/0.96 assert (zenon_L396_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H7d zenon_H7f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L375_); trivial. % 0.80/0.96 apply (zenon_L39_); trivial. % 0.80/0.96 (* end of lemma zenon_L396_ *) % 0.80/0.96 assert (zenon_L397_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (ndr1_0) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hdb zenon_H278 zenon_Ha zenon_H271 zenon_H270 zenon_H26f zenon_H7 zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H7f zenon_H95 zenon_H96 zenon_H97 zenon_H9f zenon_Ha3. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.96 apply (zenon_L396_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L375_); trivial. % 0.80/0.96 apply (zenon_L52_); trivial. % 0.80/0.96 (* end of lemma zenon_L397_ *) % 0.80/0.96 assert (zenon_L398_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hf9 zenon_H84 zenon_H83 zenon_H7 zenon_H8b zenon_Hf7 zenon_H2a. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H75 | zenon_intro zenon_Hfa ]. % 0.80/0.96 apply (zenon_L36_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H2b ]. % 0.80/0.96 exact (zenon_Hf7 zenon_Hf8). % 0.80/0.96 exact (zenon_H2a zenon_H2b). % 0.80/0.96 (* end of lemma zenon_L398_ *) % 0.80/0.96 assert (zenon_L399_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a494))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9f zenon_H82 zenon_H2a zenon_Hf7 zenon_H83 zenon_H84 zenon_Hf9 zenon_H7 zenon_H95 zenon_H96 zenon_H97. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.80/0.96 apply (zenon_L35_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.80/0.96 apply (zenon_L398_); trivial. % 0.80/0.96 apply (zenon_L38_); trivial. % 0.80/0.96 (* end of lemma zenon_L399_ *) % 0.80/0.96 assert (zenon_L400_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H6f zenon_H84 zenon_H83 zenon_H8b zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.96 apply (zenon_L44_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.96 apply (zenon_L36_); trivial. % 0.80/0.96 apply (zenon_L96_); trivial. % 0.80/0.96 (* end of lemma zenon_L400_ *) % 0.80/0.96 assert (zenon_L401_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a494))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp26)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hfd zenon_H82 zenon_H14d zenon_H14c zenon_H14b zenon_H14a zenon_H7 zenon_H8b zenon_H83 zenon_H84 zenon_H33 zenon_H3d zenon_Hd3 zenon_Hfb. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.96 apply (zenon_L201_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.96 apply (zenon_L400_); trivial. % 0.80/0.96 exact (zenon_Hfb zenon_Hfc). % 0.80/0.96 (* end of lemma zenon_L401_ *) % 0.80/0.96 assert (zenon_L402_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c0_1 (a494))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9f zenon_Hfb zenon_Hd3 zenon_H3d zenon_H33 zenon_H84 zenon_H83 zenon_H14a zenon_H14b zenon_H14c zenon_H14d zenon_H82 zenon_Hfd zenon_H7 zenon_H95 zenon_H96 zenon_H97. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.80/0.96 apply (zenon_L35_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.80/0.96 apply (zenon_L401_); trivial. % 0.80/0.96 apply (zenon_L38_); trivial. % 0.80/0.96 (* end of lemma zenon_L402_ *) % 0.80/0.96 assert (zenon_L403_ : ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a470)) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H10d zenon_H101 zenon_H100 zenon_Haa zenon_H7 zenon_H5e. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H26e | zenon_intro zenon_H27b ]. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H5f ]. % 0.80/0.96 apply (zenon_L75_); trivial. % 0.80/0.96 exact (zenon_H5e zenon_H5f). % 0.80/0.96 (* end of lemma zenon_L403_ *) % 0.80/0.96 assert (zenon_L404_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp3)) -> (c2_1 (a470)) -> (c3_1 (a470)) -> (c1_1 (a470)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd3 zenon_H5e zenon_H100 zenon_H101 zenon_H10d zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H84 zenon_H83 zenon_H8b zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.96 apply (zenon_L403_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.96 apply (zenon_L36_); trivial. % 0.80/0.96 apply (zenon_L96_); trivial. % 0.80/0.96 (* end of lemma zenon_L404_ *) % 0.80/0.96 assert (zenon_L405_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a494))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a470)) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9f zenon_H82 zenon_H14d zenon_H14c zenon_H14b zenon_H14a zenon_H83 zenon_H84 zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H10d zenon_H101 zenon_H100 zenon_H5e zenon_Hd3 zenon_H7 zenon_H95 zenon_H96 zenon_H97. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.80/0.96 apply (zenon_L35_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.80/0.96 apply (zenon_L404_); trivial. % 0.80/0.96 apply (zenon_L38_); trivial. % 0.80/0.96 (* end of lemma zenon_L405_ *) % 0.80/0.96 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c1_1 (a503))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a494))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H10a zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H3d zenon_H33 zenon_H32 zenon_H9f zenon_H82 zenon_H14d zenon_H14c zenon_H14b zenon_H83 zenon_H84 zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H5e zenon_Hd3 zenon_H95 zenon_H96 zenon_H97. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_L405_); trivial. % 0.80/0.96 (* end of lemma zenon_L406_ *) % 0.80/0.96 assert (zenon_L407_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a502))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd3 zenon_H114 zenon_H113 zenon_H112 zenon_H84 zenon_H83 zenon_H8b zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.96 apply (zenon_L78_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.96 apply (zenon_L36_); trivial. % 0.80/0.96 apply (zenon_L96_); trivial. % 0.80/0.96 (* end of lemma zenon_L407_ *) % 0.80/0.96 assert (zenon_L408_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a494))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (~(c0_1 (a502))) -> (c2_1 (a502)) -> (c3_1 (a502)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9f zenon_H82 zenon_H14d zenon_H14c zenon_H14b zenon_H14a zenon_H83 zenon_H84 zenon_H112 zenon_H113 zenon_H114 zenon_Hd3 zenon_H7 zenon_H95 zenon_H96 zenon_H97. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.80/0.96 apply (zenon_L35_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.80/0.96 apply (zenon_L407_); trivial. % 0.80/0.96 apply (zenon_L38_); trivial. % 0.80/0.96 (* end of lemma zenon_L408_ *) % 0.80/0.96 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c0_1 (a494))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H11b zenon_H285 zenon_H97 zenon_H96 zenon_H95 zenon_Hd3 zenon_H84 zenon_H83 zenon_H14b zenon_H14c zenon_H14d zenon_H82 zenon_H9f zenon_H19 zenon_H1a zenon_H1b zenon_H289 zenon_H26f zenon_H270 zenon_H271. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L87_); trivial. % 0.80/0.96 apply (zenon_L408_); trivial. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 (* end of lemma zenon_L409_ *) % 0.80/0.96 assert (zenon_L410_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9e zenon_H11e zenon_H285 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hf9 zenon_H289 zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H1b zenon_H1a zenon_H19 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H11f zenon_Hd9. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.96 apply (zenon_L399_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_L402_); trivial. % 0.80/0.96 apply (zenon_L406_); trivial. % 0.80/0.96 apply (zenon_L409_); trivial. % 0.80/0.96 (* end of lemma zenon_L410_ *) % 0.80/0.96 assert (zenon_L411_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hda zenon_H29 zenon_H11e zenon_H285 zenon_Hf9 zenon_H289 zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H27a zenon_H5e zenon_H11f zenon_Hd9 zenon_H22a zenon_H238 zenon_Ha3 zenon_H9f zenon_H7f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_Hdb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L397_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L379_); trivial. % 0.80/0.96 apply (zenon_L410_); trivial. % 0.80/0.96 (* end of lemma zenon_L411_ *) % 0.80/0.96 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_He2 zenon_He1 zenon_H11e zenon_Hf9 zenon_H289 zenon_Hfd zenon_Hd3 zenon_Hd9 zenon_H9f zenon_H7f zenon_Hdb zenon_H164 zenon_H137 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H7b zenon_H15b zenon_H48 zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_H27a zenon_H5e zenon_H207 zenon_H11f zenon_Ha3 zenon_H22a zenon_H238 zenon_H285 zenon_H29. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_L394_); trivial. % 0.80/0.96 apply (zenon_L377_); trivial. % 0.80/0.96 apply (zenon_L395_); trivial. % 0.80/0.96 apply (zenon_L411_); trivial. % 0.80/0.96 (* end of lemma zenon_L412_ *) % 0.80/0.96 assert (zenon_L413_ : ((ndr1_0)/\((c0_1 (a475))/\((c1_1 (a475))/\(~(c3_1 (a475)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H165 zenon_He5 zenon_H11e zenon_Hf9 zenon_Hfd zenon_Hd3 zenon_H9f zenon_H7f zenon_Hdb zenon_H137 zenon_H7b zenon_H207 zenon_Ha3 zenon_H29 zenon_H164 zenon_H285 zenon_H11f zenon_H264 zenon_H5e zenon_H27a zenon_H159 zenon_H15b zenon_H263 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H24f zenon_H3c zenon_H2c zenon_H48 zenon_H4b zenon_Hd9 zenon_H238 zenon_H289 zenon_H22a zenon_He1. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.96 apply (zenon_L391_); trivial. % 0.80/0.96 apply (zenon_L412_); trivial. % 0.80/0.96 (* end of lemma zenon_L413_ *) % 0.80/0.96 assert (zenon_L414_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a475))/\((c1_1 (a475))/\(~(c3_1 (a475))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((hskp5)\/(hskp11)) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H162 zenon_Hfd zenon_Hd3 zenon_H9f zenon_H7f zenon_Hdb zenon_H11f zenon_H264 zenon_H159 zenon_H15b zenon_H289 zenon_He1 zenon_H29 zenon_H164 zenon_H285 zenon_Hf5 zenon_H238 zenon_H12d zenon_H5e zenon_H27a zenon_H22a zenon_H163 zenon_H263 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H24f zenon_H3c zenon_H2c zenon_H48 zenon_H4b zenon_Hd9 zenon_H5 zenon_H1 zenon_Ha3 zenon_H137 zenon_H7b zenon_H2e zenon_H11e zenon_H207 zenon_Hf9 zenon_H16e zenon_He5. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.96 apply (zenon_L374_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/0.96 apply (zenon_L3_); trivial. % 0.80/0.96 apply (zenon_L384_); trivial. % 0.80/0.96 apply (zenon_L413_); trivial. % 0.80/0.96 (* end of lemma zenon_L414_ *) % 0.80/0.96 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H166 zenon_Hd9 zenon_H12d zenon_Hef zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278 zenon_H263. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.96 apply (zenon_L364_); trivial. % 0.80/0.96 apply (zenon_L85_); trivial. % 0.80/0.96 (* end of lemma zenon_L415_ *) % 0.80/0.96 assert (zenon_L416_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> (~(hskp8)) -> (~(hskp15)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H163 zenon_Hd9 zenon_H12d zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278 zenon_H263 zenon_Hef zenon_Hf1 zenon_Hf5. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.96 apply (zenon_L62_); trivial. % 0.80/0.96 apply (zenon_L415_); trivial. % 0.80/0.96 (* end of lemma zenon_L416_ *) % 0.80/0.96 assert (zenon_L417_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H137 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H3a zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L82_); trivial. % 0.80/0.96 apply (zenon_L376_); trivial. % 0.80/0.96 (* end of lemma zenon_L417_ *) % 0.80/0.96 assert (zenon_L418_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H24 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_Hd9 zenon_H12d zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H11e zenon_H163. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.96 apply (zenon_L62_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_L86_); trivial. % 0.80/0.96 apply (zenon_L382_); trivial. % 0.80/0.96 apply (zenon_L372_); trivial. % 0.80/0.96 (* end of lemma zenon_L418_ *) % 0.80/0.96 assert (zenon_L419_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H29 zenon_H285 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H163 zenon_Hd9 zenon_H12d zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H263 zenon_Hef zenon_Hf5 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H27a zenon_H5e zenon_H137 zenon_Ha3 zenon_H164 zenon_Hdb. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.96 apply (zenon_L58_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_L416_); trivial. % 0.80/0.96 apply (zenon_L417_); trivial. % 0.80/0.96 apply (zenon_L418_); trivial. % 0.80/0.96 (* end of lemma zenon_L419_ *) % 0.80/0.96 assert (zenon_L420_ : ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (~(c1_1 (a476))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H278 zenon_H68 zenon_H67 zenon_H6f zenon_H66 zenon_H271 zenon_H270 zenon_H26f zenon_H7 zenon_Ha. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H224 | zenon_intro zenon_H279 ]. % 0.80/0.96 apply (zenon_L239_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26e | zenon_intro zenon_Hb ]. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 exact (zenon_Ha zenon_Hb). % 0.80/0.96 (* end of lemma zenon_L420_ *) % 0.80/0.96 assert (zenon_L421_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp10)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (c2_1 (a471)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp12)) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp26)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hfd zenon_H51 zenon_He7 zenon_He6 zenon_He8 zenon_H159 zenon_Ha zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_H66 zenon_H67 zenon_H68 zenon_H278 zenon_Hfb. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.96 apply (zenon_L232_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.96 apply (zenon_L420_); trivial. % 0.80/0.96 exact (zenon_Hfb zenon_Hfc). % 0.80/0.96 (* end of lemma zenon_L421_ *) % 0.80/0.96 assert (zenon_L422_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a471)) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Ha3 zenon_H11f zenon_H15d zenon_H139 zenon_H159 zenon_H51 zenon_He8 zenon_He6 zenon_He7 zenon_Hfd zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L375_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_L421_); trivial. % 0.80/0.96 apply (zenon_L99_); trivial. % 0.80/0.96 (* end of lemma zenon_L422_ *) % 0.80/0.96 assert (zenon_L423_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H9e zenon_H11e zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1b zenon_H1a zenon_H19 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hf9 zenon_H121 zenon_H122 zenon_H123 zenon_Hef zenon_H12d zenon_Hd9. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.96 apply (zenon_L399_); trivial. % 0.80/0.96 apply (zenon_L85_); trivial. % 0.80/0.96 apply (zenon_L382_); trivial. % 0.80/0.96 (* end of lemma zenon_L423_ *) % 0.80/0.96 assert (zenon_L424_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H24 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_H238 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H22a zenon_Hd9 zenon_H12d zenon_Hf9 zenon_H95 zenon_H96 zenon_H97 zenon_H9f zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H11e zenon_Ha3 zenon_H163. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.96 apply (zenon_L62_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L379_); trivial. % 0.80/0.96 apply (zenon_L423_); trivial. % 0.80/0.96 apply (zenon_L372_); trivial. % 0.80/0.96 (* end of lemma zenon_L424_ *) % 0.80/0.96 assert (zenon_L425_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hda zenon_H29 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_H238 zenon_H22a zenon_Hd9 zenon_H12d zenon_Hf9 zenon_H285 zenon_H11e zenon_H163 zenon_Ha3 zenon_H9f zenon_H7f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_Hdb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L397_); trivial. % 0.80/0.96 apply (zenon_L424_); trivial. % 0.80/0.96 (* end of lemma zenon_L425_ *) % 0.80/0.96 assert (zenon_L426_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp15)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Ha3 zenon_H207 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hf1 zenon_H48 zenon_H15b zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H3a zenon_H3c zenon_Ha6 zenon_H7b zenon_H11f zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L82_); trivial. % 0.80/0.96 apply (zenon_L393_); trivial. % 0.80/0.96 (* end of lemma zenon_L426_ *) % 0.80/0.96 assert (zenon_L427_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hdb zenon_H164 zenon_H137 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H15b zenon_H48 zenon_H14b zenon_H14c zenon_H14d zenon_H51 zenon_H159 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H207 zenon_Ha3 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.96 apply (zenon_L58_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_L426_); trivial. % 0.80/0.96 apply (zenon_L417_); trivial. % 0.80/0.96 (* end of lemma zenon_L427_ *) % 0.80/0.96 assert (zenon_L428_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H6f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.96 apply (zenon_L44_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.96 apply (zenon_L57_); trivial. % 0.80/0.96 apply (zenon_L96_); trivial. % 0.80/0.96 (* end of lemma zenon_L428_ *) % 0.80/0.96 assert (zenon_L429_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp26)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hfd zenon_H14d zenon_H14c zenon_H14b zenon_H14a zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_H33 zenon_H3d zenon_Hd3 zenon_Hfb. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.96 apply (zenon_L231_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.96 apply (zenon_L428_); trivial. % 0.80/0.96 exact (zenon_Hfb zenon_Hfc). % 0.80/0.96 (* end of lemma zenon_L429_ *) % 0.80/0.96 assert (zenon_L430_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(c1_1 (a503))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp26)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H32 zenon_Hfd zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_H33 zenon_H3d zenon_Hd3 zenon_Hfb. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_L429_); trivial. % 0.80/0.96 (* end of lemma zenon_L430_ *) % 0.80/0.96 assert (zenon_L431_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp3)) -> (c2_1 (a470)) -> (c3_1 (a470)) -> (c1_1 (a470)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd3 zenon_H5e zenon_H100 zenon_H101 zenon_H10d zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.96 apply (zenon_L403_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.96 apply (zenon_L57_); trivial. % 0.80/0.96 apply (zenon_L96_); trivial. % 0.80/0.96 (* end of lemma zenon_L431_ *) % 0.80/0.96 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c1_1 (a503))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H10a zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H3d zenon_H33 zenon_H32 zenon_Hd3 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_He8 zenon_He7 zenon_He6 zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L84_); trivial. % 0.80/0.96 apply (zenon_L431_); trivial. % 0.80/0.96 (* end of lemma zenon_L432_ *) % 0.80/0.96 assert (zenon_L433_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H4a zenon_H11f zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H19 zenon_H1a zenon_H1b zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_He8 zenon_He6 zenon_He7 zenon_H289. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_L430_); trivial. % 0.80/0.96 apply (zenon_L432_); trivial. % 0.80/0.96 (* end of lemma zenon_L433_ *) % 0.80/0.96 assert (zenon_L434_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H19 zenon_H1a zenon_H1b zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H289 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.96 apply (zenon_L64_); trivial. % 0.80/0.96 apply (zenon_L433_); trivial. % 0.80/0.96 (* end of lemma zenon_L434_ *) % 0.80/0.96 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c0_1 (a502))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H10a zenon_H285 zenon_H14d zenon_H14c zenon_H14b zenon_He6 zenon_He7 zenon_He8 zenon_H27a zenon_H5e zenon_Hd3 zenon_H112 zenon_H114 zenon_H113 zenon_H19 zenon_H1a zenon_H1b zenon_H289 zenon_H26f zenon_H270 zenon_H271. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L87_); trivial. % 0.80/0.96 apply (zenon_L431_); trivial. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 (* end of lemma zenon_L435_ *) % 0.80/0.96 assert (zenon_L436_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H24 zenon_H164 zenon_Hd9 zenon_H11f zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H289 zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H15b zenon_H48 zenon_H51 zenon_H159 zenon_H285 zenon_H11e. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_L434_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_L98_); trivial. % 0.80/0.96 apply (zenon_L435_); trivial. % 0.80/0.96 apply (zenon_L372_); trivial. % 0.80/0.96 (* end of lemma zenon_L436_ *) % 0.80/0.96 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp3)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hc3 zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H5e. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H26e | zenon_intro zenon_H27b ]. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H5f ]. % 0.80/0.96 apply (zenon_L47_); trivial. % 0.80/0.96 exact (zenon_H5e zenon_H5f). % 0.80/0.96 (* end of lemma zenon_L437_ *) % 0.80/0.96 assert (zenon_L438_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_Ha7 zenon_H79 zenon_Ha6. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.96 apply (zenon_L42_); trivial. % 0.80/0.96 apply (zenon_L437_); trivial. % 0.80/0.96 (* end of lemma zenon_L438_ *) % 0.80/0.96 assert (zenon_L439_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H11b zenon_Hd2 zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_Ha6 zenon_H79 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_Hd4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.80/0.96 apply (zenon_L438_); trivial. % 0.80/0.96 apply (zenon_L80_); trivial. % 0.80/0.96 (* end of lemma zenon_L439_ *) % 0.80/0.96 assert (zenon_L440_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a475))/\((c1_1 (a475))/\(~(c3_1 (a475))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H19b zenon_H162 zenon_H289 zenon_H207 zenon_H48 zenon_H15b zenon_H29 zenon_H285 zenon_H7f zenon_H163 zenon_Hd9 zenon_H12d zenon_H24f zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H263 zenon_Hf5 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H27a zenon_H5e zenon_H137 zenon_Ha3 zenon_H164 zenon_Hdb zenon_H159 zenon_H139 zenon_H15d zenon_H9f zenon_H22a zenon_H238 zenon_He1 zenon_He5. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.96 apply (zenon_L419_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L422_); trivial. % 0.80/0.96 apply (zenon_L418_); trivial. % 0.80/0.96 apply (zenon_L425_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L427_); trivial. % 0.80/0.96 apply (zenon_L436_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L102_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_L434_); trivial. % 0.80/0.96 apply (zenon_L439_); trivial. % 0.80/0.96 apply (zenon_L410_); trivial. % 0.80/0.96 apply (zenon_L412_); trivial. % 0.80/0.96 (* end of lemma zenon_L440_ *) % 0.80/0.96 assert (zenon_L441_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c3_1 (a494))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(hskp28)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp25)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H22a zenon_H1b zenon_H1a zenon_H19 zenon_Hfb zenon_H7 zenon_H66 zenon_H67 zenon_H68 zenon_H17b zenon_H84 zenon_H82 zenon_H83 zenon_H172 zenon_H171 zenon_H170 zenon_H179 zenon_Hfd zenon_H228. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H18 | zenon_intro zenon_H22b ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H224 | zenon_intro zenon_H229 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.96 apply (zenon_L202_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.96 apply (zenon_L239_); trivial. % 0.80/0.96 exact (zenon_Hfb zenon_Hfc). % 0.80/0.96 exact (zenon_H228 zenon_H229). % 0.80/0.96 (* end of lemma zenon_L441_ *) % 0.80/0.96 assert (zenon_L442_ : ((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp1))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp1)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H196 zenon_H28b zenon_H271 zenon_H270 zenon_H26f zenon_H22. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H7. zenon_intro zenon_H198. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H18b. zenon_intro zenon_H199. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18c. zenon_intro zenon_H18d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H26e | zenon_intro zenon_H28c ]. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H18a | zenon_intro zenon_H23 ]. % 0.80/0.96 apply (zenon_L113_); trivial. % 0.80/0.96 exact (zenon_H22 zenon_H23). % 0.80/0.96 (* end of lemma zenon_L442_ *) % 0.80/0.96 assert (zenon_L443_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(hskp25)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c3_1 (a494))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H11f zenon_H207 zenon_H48 zenon_H5e zenon_H27a zenon_H22a zenon_H228 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H84 zenon_H82 zenon_H83 zenon_H66 zenon_H67 zenon_H68 zenon_Hfd zenon_H1b zenon_H1a zenon_H19 zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_H22 zenon_H28b zenon_H19a. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.80/0.96 apply (zenon_L441_); trivial. % 0.80/0.96 apply (zenon_L442_); trivial. % 0.80/0.96 apply (zenon_L392_); trivial. % 0.80/0.96 (* end of lemma zenon_L443_ *) % 0.80/0.96 assert (zenon_L444_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c1_1 (a470)) -> (c2_1 (a470)) -> (c3_1 (a470)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H18 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7 zenon_H201 zenon_H10d zenon_H100 zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.80/0.96 apply (zenon_L199_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.80/0.96 apply (zenon_L46_); trivial. % 0.80/0.96 apply (zenon_L385_); trivial. % 0.80/0.96 (* end of lemma zenon_L444_ *) % 0.80/0.96 assert (zenon_L445_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (c1_1 (a470)) -> (ndr1_0) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c0_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H207 zenon_H84 zenon_H83 zenon_H82 zenon_H101 zenon_H100 zenon_H10d zenon_H7 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H17e zenon_H18 zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H48. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.96 apply (zenon_L35_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.96 apply (zenon_L444_); trivial. % 0.80/0.96 exact (zenon_H48 zenon_H49). % 0.80/0.96 (* end of lemma zenon_L445_ *) % 0.80/0.96 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp2)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp8)) -> (~(c0_1 (a502))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H10a zenon_H285 zenon_H48 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H82 zenon_H83 zenon_H84 zenon_H207 zenon_Hef zenon_H112 zenon_H114 zenon_H113 zenon_H121 zenon_H122 zenon_H123 zenon_H12d zenon_H26f zenon_H270 zenon_H271. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.96 apply (zenon_L445_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.96 apply (zenon_L88_); trivial. % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 (* end of lemma zenon_L446_ *) % 0.80/0.96 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp5)\/(hskp11)) -> (~(hskp5)) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a478))/\((~(c0_1 (a478)))/\(~(c3_1 (a478))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_He2 zenon_He1 zenon_H238 zenon_H22a zenon_H9f zenon_H5 zenon_H1 zenon_Hdb zenon_H164 zenon_H137 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H7b zenon_Hd9 zenon_H12d zenon_Hf9 zenon_H48 zenon_H207 zenon_Hfd zenon_H159 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H285 zenon_H11f zenon_H11e zenon_Ha3 zenon_H163 zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H29 zenon_H16e. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.96 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/0.96 apply (zenon_L3_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.96 apply (zenon_L58_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.96 apply (zenon_L62_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.96 apply (zenon_L375_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_L381_); trivial. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.96 apply (zenon_L421_); trivial. % 0.80/0.96 apply (zenon_L446_); trivial. % 0.80/0.96 apply (zenon_L377_); trivial. % 0.80/0.96 apply (zenon_L418_); trivial. % 0.80/0.96 apply (zenon_L425_); trivial. % 0.80/0.96 (* end of lemma zenon_L447_ *) % 0.80/0.96 assert (zenon_L448_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hd3 zenon_H17f zenon_H17e zenon_H17d zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.96 apply (zenon_L112_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.96 apply (zenon_L57_); trivial. % 0.80/0.96 apply (zenon_L96_); trivial. % 0.80/0.96 (* end of lemma zenon_L448_ *) % 0.80/0.96 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.96 do 0 intro. intros zenon_H11b zenon_H285 zenon_H3a zenon_Hd3 zenon_H17f zenon_H17e zenon_He8 zenon_He7 zenon_He6 zenon_H14b zenon_H14c zenon_H14d zenon_H1bc zenon_H19 zenon_H1a zenon_H1b zenon_H289 zenon_H26f zenon_H270 zenon_H271. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.96 apply (zenon_L8_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.96 apply (zenon_L87_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.96 apply (zenon_L448_); trivial. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.96 apply (zenon_L78_); trivial. % 0.80/0.96 exact (zenon_H3a zenon_H3b). % 0.80/0.96 apply (zenon_L362_); trivial. % 0.80/0.96 (* end of lemma zenon_L449_ *) % 0.80/0.96 assert (zenon_L450_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_H24 zenon_H11e zenon_H285 zenon_H1bc zenon_H3a zenon_H17e zenon_H17f zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H289 zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_Hfd zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H11f zenon_Hd9. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.96 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.96 apply (zenon_L434_); trivial. % 0.80/0.96 apply (zenon_L449_); trivial. % 0.80/0.96 (* end of lemma zenon_L450_ *) % 0.80/0.96 assert (zenon_L451_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.96 do 0 intro. intros zenon_Hda zenon_H29 zenon_H285 zenon_H1bc zenon_H17e zenon_H17f zenon_H289 zenon_H14d zenon_H14c zenon_H14b zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.96 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.96 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.96 apply (zenon_L102_); trivial. % 0.80/0.96 apply (zenon_L450_); trivial. % 0.80/0.96 (* end of lemma zenon_L451_ *) % 0.80/0.96 assert (zenon_L452_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp12)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp14)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H147 zenon_H1b0 zenon_H5e zenon_H27a zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H66 zenon_H67 zenon_H68 zenon_H278 zenon_H7d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.80/0.97 apply (zenon_L371_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.80/0.97 apply (zenon_L420_); trivial. % 0.80/0.97 exact (zenon_H7d zenon_H7e). % 0.80/0.97 (* end of lemma zenon_L452_ *) % 0.80/0.97 assert (zenon_L453_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H51 zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H163 zenon_Hd9 zenon_H12d zenon_H2c zenon_Ha zenon_H2e zenon_Hef zenon_Hf5 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H278 zenon_H68 zenon_H67 zenon_H66 zenon_H1b0 zenon_H164. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_L142_); trivial. % 0.80/0.97 apply (zenon_L452_); trivial. % 0.80/0.97 apply (zenon_L116_); trivial. % 0.80/0.97 (* end of lemma zenon_L453_ *) % 0.80/0.97 assert (zenon_L454_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He5 zenon_He1 zenon_Hf9 zenon_H11e zenon_H9f zenon_H7f zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H2e zenon_H1b0 zenon_Ha3 zenon_Hfd zenon_H207 zenon_H11f zenon_H7b zenon_Hd9 zenon_H4b zenon_H48 zenon_H2c zenon_H3c zenon_H24f zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H263 zenon_H163 zenon_H22a zenon_H27a zenon_H5e zenon_H12d zenon_H238 zenon_Hef zenon_Hf5 zenon_H285 zenon_H164 zenon_H29. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.97 apply (zenon_L374_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L453_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.97 apply (zenon_L62_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L379_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.80/0.97 apply (zenon_L441_); trivial. % 0.80/0.97 apply (zenon_L115_); trivial. % 0.80/0.97 apply (zenon_L392_); trivial. % 0.80/0.97 apply (zenon_L368_); trivial. % 0.80/0.97 apply (zenon_L372_); trivial. % 0.80/0.97 apply (zenon_L425_); trivial. % 0.80/0.97 (* end of lemma zenon_L454_ *) % 0.80/0.97 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He2 zenon_He1 zenon_H11e zenon_Hf9 zenon_H289 zenon_Hfd zenon_Hd3 zenon_Hd9 zenon_H9f zenon_H7f zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_Ha3 zenon_H11f zenon_H207 zenon_H5e zenon_H27a zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H48 zenon_H15b zenon_H7b zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H1b0 zenon_H164 zenon_H22a zenon_H238 zenon_H285 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.97 apply (zenon_L394_); trivial. % 0.80/0.97 apply (zenon_L452_); trivial. % 0.80/0.97 apply (zenon_L116_); trivial. % 0.80/0.97 apply (zenon_L395_); trivial. % 0.80/0.97 apply (zenon_L411_); trivial. % 0.80/0.97 (* end of lemma zenon_L455_ *) % 0.80/0.97 assert (zenon_L456_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H29 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_Hd9 zenon_H12d zenon_Hf9 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H11e zenon_H163 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H194 zenon_H51 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hdb. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L117_); trivial. % 0.80/0.97 apply (zenon_L418_); trivial. % 0.80/0.97 (* end of lemma zenon_L456_ *) % 0.80/0.97 assert (zenon_L457_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hda zenon_H29 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_H12d zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H163 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L102_); trivial. % 0.80/0.97 apply (zenon_L418_); trivial. % 0.80/0.97 (* end of lemma zenon_L457_ *) % 0.80/0.97 assert (zenon_L458_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H29 zenon_H164 zenon_Hd9 zenon_H11f zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H289 zenon_Hf9 zenon_H15b zenon_H48 zenon_H159 zenon_H285 zenon_H11e zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H194 zenon_H51 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hdb. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L117_); trivial. % 0.80/0.97 apply (zenon_L436_); trivial. % 0.80/0.97 (* end of lemma zenon_L458_ *) % 0.80/0.97 assert (zenon_L459_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H24 zenon_H285 zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_L8_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L459_ *) % 0.80/0.97 assert (zenon_L460_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp9)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((hskp6)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H29 zenon_H285 zenon_H1a0 zenon_H19f zenon_H19e zenon_H263 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H3a zenon_H24f zenon_H3c zenon_H2c zenon_H48 zenon_H4b zenon_Hd9. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L365_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L460_ *) % 0.80/0.97 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c2_1 X16)\/((~(c1_1 X16))\/(~(c3_1 X16))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H13b zenon_H139 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L375_); trivial. % 0.80/0.97 apply (zenon_L91_); trivial. % 0.80/0.97 (* end of lemma zenon_L461_ *) % 0.80/0.97 assert (zenon_L462_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hda zenon_H29 zenon_H285 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha3 zenon_H9f zenon_H7f zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_Hdb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L397_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L462_ *) % 0.80/0.97 assert (zenon_L463_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c2_1 (a492))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (c1_1 (a492)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H6f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H13e zenon_H120 zenon_H13d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.97 apply (zenon_L44_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.97 apply (zenon_L57_); trivial. % 0.80/0.97 apply (zenon_L190_); trivial. % 0.80/0.97 (* end of lemma zenon_L463_ *) % 0.80/0.97 assert (zenon_L464_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1be zenon_H13d zenon_H13e zenon_He6 zenon_He7 zenon_He8 zenon_Hd3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H6f zenon_H33 zenon_H3d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.80/0.97 apply (zenon_L463_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L44_); trivial. % 0.80/0.97 (* end of lemma zenon_L464_ *) % 0.80/0.97 assert (zenon_L465_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp9)) -> (~(c1_1 (a503))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (ndr1_0) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c2_1 (a492))) -> (c1_1 (a492)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp26)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hfd zenon_H3a zenon_H32 zenon_H3c zenon_H3d zenon_H33 zenon_H7 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_H13e zenon_H13d zenon_H1be zenon_Hfb. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.97 apply (zenon_L17_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.97 apply (zenon_L464_); trivial. % 0.80/0.97 exact (zenon_Hfb zenon_Hfc). % 0.80/0.97 (* end of lemma zenon_L465_ *) % 0.80/0.97 assert (zenon_L466_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (c3_1 (a492)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a492))) -> (c1_1 (a492)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H11e zenon_H13c zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H11f zenon_Hd4 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H7b zenon_H79 zenon_Ha6 zenon_H3c zenon_H3a zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H13e zenon_H13d zenon_Hd3 zenon_Hfd zenon_Hd2 zenon_Hd9. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.97 apply (zenon_L64_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_L465_); trivial. % 0.80/0.97 apply (zenon_L72_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_L465_); trivial. % 0.80/0.97 apply (zenon_L77_); trivial. % 0.80/0.97 apply (zenon_L194_); trivial. % 0.80/0.97 (* end of lemma zenon_L466_ *) % 0.80/0.97 assert (zenon_L467_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp9)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp4)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H11b zenon_H15d zenon_H84 zenon_H83 zenon_H82 zenon_H3a zenon_H19e zenon_H19f zenon_H1a0 zenon_H1bc zenon_H139. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H81 | zenon_intro zenon_H15e ]. % 0.80/0.97 apply (zenon_L35_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H15f | zenon_intro zenon_H13a ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.97 apply (zenon_L126_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.97 apply (zenon_L78_); trivial. % 0.80/0.97 exact (zenon_H3a zenon_H3b). % 0.80/0.97 exact (zenon_H139 zenon_H13a). % 0.80/0.97 (* end of lemma zenon_L467_ *) % 0.80/0.97 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H1bc zenon_H263 zenon_H264 zenon_Hf zenon_Hd zenon_He zenon_H24f zenon_H139 zenon_H15d zenon_Hd9 zenon_Hd2 zenon_Hfd zenon_Hd3 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_H3a zenon_H3c zenon_Ha6 zenon_H7b zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_Hd4 zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L466_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.97 apply (zenon_L329_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_L465_); trivial. % 0.80/0.97 apply (zenon_L99_); trivial. % 0.80/0.97 apply (zenon_L467_); trivial. % 0.80/0.97 (* end of lemma zenon_L468_ *) % 0.80/0.97 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c2_1 (a471)) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_H7f zenon_Hdb zenon_Ha3 zenon_H11f zenon_H15d zenon_H139 zenon_H159 zenon_He8 zenon_He6 zenon_He7 zenon_Hfd zenon_H7b zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H19e zenon_H19f zenon_H1a0 zenon_H285 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L422_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 apply (zenon_L462_); trivial. % 0.80/0.97 (* end of lemma zenon_L469_ *) % 0.80/0.97 assert (zenon_L470_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(c0_1 (a478))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp10)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H6f zenon_He zenon_Hd zenon_Hf zenon_H201 zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_Hfb zenon_H51. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.97 apply (zenon_L44_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.97 apply (zenon_L326_); trivial. % 0.80/0.97 apply (zenon_L97_); trivial. % 0.80/0.97 (* end of lemma zenon_L470_ *) % 0.80/0.97 assert (zenon_L471_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c3_1 (a478))) -> (c2_1 (a478)) -> (~(c0_1 (a478))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(hskp10)) -> (c2_1 (a471)) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp2)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H207 zenon_H84 zenon_H83 zenon_H82 zenon_Hfb zenon_Hd3 zenon_H3d zenon_H33 zenon_He zenon_Hd zenon_Hf zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_H51 zenon_He8 zenon_He6 zenon_He7 zenon_Hfd zenon_H48. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.97 apply (zenon_L35_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.97 apply (zenon_L232_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.97 apply (zenon_L470_); trivial. % 0.80/0.97 exact (zenon_Hfb zenon_Hfc). % 0.80/0.97 exact (zenon_H48 zenon_H49). % 0.80/0.97 (* end of lemma zenon_L471_ *) % 0.80/0.97 assert (zenon_L472_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (c2_1 (a471)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H4a zenon_H11f zenon_H15d zenon_H139 zenon_H82 zenon_H83 zenon_H84 zenon_Hfd zenon_Hf zenon_Hd zenon_He zenon_H14d zenon_H14c zenon_H14b zenon_Hd3 zenon_He7 zenon_He6 zenon_He8 zenon_H51 zenon_H159 zenon_H48 zenon_H207. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_L471_); trivial. % 0.80/0.97 apply (zenon_L99_); trivial. % 0.80/0.97 (* end of lemma zenon_L472_ *) % 0.80/0.97 assert (zenon_L473_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H15d zenon_H139 zenon_H82 zenon_H83 zenon_H84 zenon_Hfd zenon_Hf zenon_Hd zenon_He zenon_H14d zenon_H14c zenon_H14b zenon_Hd3 zenon_H51 zenon_H159 zenon_H48 zenon_H207 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.97 apply (zenon_L64_); trivial. % 0.80/0.97 apply (zenon_L472_); trivial. % 0.80/0.97 (* end of lemma zenon_L473_ *) % 0.80/0.97 assert (zenon_L474_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hda zenon_H29 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H3c zenon_H3a zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L102_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L474_ *) % 0.80/0.97 assert (zenon_L475_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp12)) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp14)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_Ha zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_H66 zenon_H67 zenon_H68 zenon_H278 zenon_H7d. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H12f | zenon_intro zenon_H1b1 ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H6f | zenon_intro zenon_H7e ]. % 0.80/0.97 apply (zenon_L420_); trivial. % 0.80/0.97 exact (zenon_H7d zenon_H7e). % 0.80/0.97 (* end of lemma zenon_L475_ *) % 0.80/0.97 assert (zenon_L476_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hde zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H51 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L375_); trivial. % 0.80/0.97 apply (zenon_L147_); trivial. % 0.80/0.97 (* end of lemma zenon_L476_ *) % 0.80/0.97 assert (zenon_L477_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_H7f zenon_Hdb zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7b zenon_H19e zenon_H19f zenon_H1a0 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H1b0 zenon_H285 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L475_); trivial. % 0.80/0.97 apply (zenon_L476_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 apply (zenon_L462_); trivial. % 0.80/0.97 (* end of lemma zenon_L477_ *) % 0.80/0.97 assert (zenon_L478_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H29 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1c0 zenon_H1c2 zenon_H19a zenon_Hdb. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L180_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L478_ *) % 0.80/0.97 assert (zenon_L479_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_Hd9 zenon_H1be zenon_H7b zenon_H1a0 zenon_H19f zenon_H19e zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L186_); trivial. % 0.80/0.97 apply (zenon_L52_); trivial. % 0.80/0.97 (* end of lemma zenon_L479_ *) % 0.80/0.97 assert (zenon_L480_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hdb zenon_H163 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H11e zenon_Hf9 zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7b zenon_H3a zenon_H1bc zenon_Hd9 zenon_H95 zenon_H96 zenon_H97 zenon_H9f zenon_Ha3 zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L58_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L183_); trivial. % 0.80/0.97 apply (zenon_L52_); trivial. % 0.80/0.97 apply (zenon_L479_); trivial. % 0.80/0.97 (* end of lemma zenon_L480_ *) % 0.80/0.97 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hda zenon_H29 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_Ha3 zenon_H9f zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_Hf9 zenon_H11e zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_H163 zenon_Hdb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L480_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L481_ *) % 0.80/0.97 assert (zenon_L482_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_Hdb zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H19e zenon_H19f zenon_H1a0 zenon_H197 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7b zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_He6 zenon_He7 zenon_He8 zenon_H7f zenon_H285 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L58_); trivial. % 0.80/0.97 apply (zenon_L476_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 apply (zenon_L462_); trivial. % 0.80/0.97 (* end of lemma zenon_L482_ *) % 0.80/0.97 assert (zenon_L483_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a474))/\((~(c1_1 (a474)))/\(~(c2_1 (a474))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp7))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H19b zenon_H28d zenon_He5 zenon_H278 zenon_Ha3 zenon_H15d zenon_H139 zenon_H197 zenon_Hd9 zenon_H1bc zenon_H7b zenon_H1b2 zenon_Hf9 zenon_H11e zenon_H1be zenon_H163 zenon_H9f zenon_He1 zenon_Hdb zenon_H19a zenon_H1c2 zenon_H1a0 zenon_H19f zenon_H19e zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H7f zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.97 apply (zenon_L478_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L188_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 apply (zenon_L481_); trivial. % 0.80/0.97 apply (zenon_L482_); trivial. % 0.80/0.97 (* end of lemma zenon_L483_ *) % 0.80/0.97 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H166 zenon_H285 zenon_H17f zenon_H1f7 zenon_H17e zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.80/0.97 apply (zenon_L83_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L199_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L484_ *) % 0.80/0.97 assert (zenon_L485_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp8)) -> (~(hskp15)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H163 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H19e zenon_H19f zenon_H1a0 zenon_H17e zenon_H1f7 zenon_H17f zenon_H1be zenon_Hef zenon_Hf1 zenon_Hf5. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.97 apply (zenon_L62_); trivial. % 0.80/0.97 apply (zenon_L484_); trivial. % 0.80/0.97 (* end of lemma zenon_L485_ *) % 0.80/0.97 assert (zenon_L486_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> (~(c0_1 (a478))) -> (c2_1 (a478)) -> (~(c3_1 (a478))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H285 zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_H17e zenon_H1f7 zenon_H17f zenon_Hf zenon_Hd zenon_He zenon_Hd3 zenon_H48 zenon_H207 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L375_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.97 apply (zenon_L35_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.97 apply (zenon_L199_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.97 apply (zenon_L326_); trivial. % 0.80/0.97 apply (zenon_L190_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L199_); trivial. % 0.80/0.97 exact (zenon_H48 zenon_H49). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L486_ *) % 0.80/0.97 assert (zenon_L487_ : ((forall X81 : zenon_U, ((ndr1_0)->((c2_1 X81)\/((c3_1 X81)\/(~(c1_1 X81))))))\/((hskp11)\/(hskp7))) -> (~(c3_1 (a475))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp7)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H28e zenon_H14b zenon_H14d zenon_H14c zenon_H18a zenon_H7 zenon_H3 zenon_H1c0. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28f ]. % 0.80/0.97 apply (zenon_L150_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H4 | zenon_intro zenon_H1c1 ]. % 0.80/0.97 exact (zenon_H3 zenon_H4). % 0.80/0.97 exact (zenon_H1c0 zenon_H1c1). % 0.80/0.97 (* end of lemma zenon_L487_ *) % 0.80/0.97 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp2)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H10a zenon_H285 zenon_H48 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H82 zenon_H83 zenon_H84 zenon_H207 zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_L445_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L488_ *) % 0.80/0.97 assert (zenon_L489_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (c3_1 (a474)) -> (~(c1_1 (a474))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a474))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H17b zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H1e1 zenon_H1df zenon_H18 zenon_H1e0 zenon_H7 zenon_H179. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H8b | zenon_intro zenon_H17c ]. % 0.80/0.97 apply (zenon_L46_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H16f | zenon_intro zenon_H17a ]. % 0.80/0.97 generalize (zenon_H16f (a474)). zenon_intro zenon_H290. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H290); [ zenon_intro zenon_H6 | zenon_intro zenon_H291 ]. % 0.80/0.97 exact (zenon_H6 zenon_H7). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1eb | zenon_intro zenon_H292 ]. % 0.80/0.97 exact (zenon_H1e0 zenon_H1eb). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1ec ]. % 0.80/0.97 generalize (zenon_H18 (a474)). zenon_intro zenon_H293. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_H6 | zenon_intro zenon_H294 ]. % 0.80/0.97 exact (zenon_H6 zenon_H7). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H295 ]. % 0.80/0.97 exact (zenon_H1ea zenon_H1e5). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1eb ]. % 0.80/0.97 exact (zenon_H1df zenon_H1e9). % 0.80/0.97 exact (zenon_H1e0 zenon_H1eb). % 0.80/0.97 exact (zenon_H1ec zenon_H1e1). % 0.80/0.97 exact (zenon_H179 zenon_H17a). % 0.80/0.97 (* end of lemma zenon_L489_ *) % 0.80/0.97 assert (zenon_L490_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp28)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (c3_1 (a474)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H285 zenon_H179 zenon_H1e0 zenon_H1df zenon_H1e1 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H17b zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H26f zenon_H270 zenon_H271. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_L489_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L490_ *) % 0.80/0.97 assert (zenon_L491_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(hskp10)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a474)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hde zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H51 zenon_H194 zenon_H17b zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.80/0.97 apply (zenon_L490_); trivial. % 0.80/0.97 apply (zenon_L115_); trivial. % 0.80/0.97 (* end of lemma zenon_L491_ *) % 0.80/0.97 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a474)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He2 zenon_He1 zenon_Ha3 zenon_H9f zenon_H7f zenon_H7b zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H17b zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H285 zenon_H19e zenon_H19f zenon_H1a0 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H1b0 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L475_); trivial. % 0.80/0.97 apply (zenon_L491_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 apply (zenon_L462_); trivial. % 0.80/0.97 (* end of lemma zenon_L492_ *) % 0.80/0.97 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hc3 zenon_H285 zenon_H3a zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.97 apply (zenon_L262_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.97 apply (zenon_L199_); trivial. % 0.80/0.97 exact (zenon_H3a zenon_H3b). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L493_ *) % 0.80/0.97 assert (zenon_L494_ : ((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd5 zenon_H285 zenon_H3a zenon_H17e zenon_H1f7 zenon_H17f zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.97 apply (zenon_L112_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.97 apply (zenon_L57_); trivial. % 0.80/0.97 apply (zenon_L49_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.97 apply (zenon_L199_); trivial. % 0.80/0.97 exact (zenon_H3a zenon_H3b). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 (* end of lemma zenon_L494_ *) % 0.80/0.97 assert (zenon_L495_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd2 zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_Ha6 zenon_H79 zenon_H1bc zenon_H3a zenon_H1f7 zenon_H17e zenon_H17f zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_Hd4. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.97 apply (zenon_L42_); trivial. % 0.80/0.97 apply (zenon_L493_); trivial. % 0.80/0.97 apply (zenon_L494_); trivial. % 0.80/0.97 (* end of lemma zenon_L495_ *) % 0.80/0.97 assert (zenon_L496_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hda zenon_H29 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_Hd2 zenon_Hd3 zenon_Ha6 zenon_H1bc zenon_H3a zenon_H1f7 zenon_H17e zenon_H17f zenon_Hc4 zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_Hd4 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L58_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L495_); trivial. % 0.80/0.97 apply (zenon_L52_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L496_ *) % 0.80/0.97 assert (zenon_L497_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp10)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd3 zenon_H17f zenon_H17e zenon_H17d zenon_He8 zenon_He7 zenon_He6 zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_Hfb zenon_H51. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.97 apply (zenon_L112_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.97 apply (zenon_L57_); trivial. % 0.80/0.97 apply (zenon_L97_); trivial. % 0.80/0.97 (* end of lemma zenon_L497_ *) % 0.80/0.97 assert (zenon_L498_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp26)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a467))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H1bc zenon_H51 zenon_Hfb zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_He6 zenon_He7 zenon_He8 zenon_Hd3 zenon_H17f zenon_H1f7 zenon_H18 zenon_H17e zenon_H7 zenon_H3a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.97 apply (zenon_L497_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.97 apply (zenon_L199_); trivial. % 0.80/0.97 exact (zenon_H3a zenon_H3b). % 0.80/0.97 (* end of lemma zenon_L498_ *) % 0.80/0.97 assert (zenon_L499_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H9e zenon_H11f zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H48 zenon_H207 zenon_H1bc zenon_H3a zenon_H1f7 zenon_H17e zenon_H17f zenon_He6 zenon_He7 zenon_He8 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_Hd3 zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.97 apply (zenon_L498_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.97 apply (zenon_L121_); trivial. % 0.80/0.97 apply (zenon_L362_); trivial. % 0.80/0.97 apply (zenon_L488_); trivial. % 0.80/0.97 (* end of lemma zenon_L499_ *) % 0.80/0.97 assert (zenon_L500_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H29 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hd2 zenon_Hd3 zenon_Ha6 zenon_H1bc zenon_H3a zenon_H1f7 zenon_H17e zenon_H17f zenon_Hc4 zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_Hd4 zenon_H14b zenon_H14c zenon_H14d zenon_H51 zenon_H159 zenon_H207 zenon_H48 zenon_H11f zenon_Ha3 zenon_Hdb. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L58_); trivial. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.97 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.97 apply (zenon_L495_); trivial. % 0.80/0.97 apply (zenon_L499_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L500_ *) % 0.80/0.97 assert (zenon_L501_ : ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp18)\/(hskp20))) -> (~(hskp10)) -> (~(hskp26)) -> (ndr1_0) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp18)) -> (~(hskp20)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H296 zenon_H51 zenon_Hfb zenon_H7 zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_H297 zenon_H2a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H298 ]. % 0.80/0.97 apply (zenon_L97_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H299 | zenon_intro zenon_H2b ]. % 0.80/0.97 exact (zenon_H297 zenon_H299). % 0.80/0.97 exact (zenon_H2a zenon_H2b). % 0.80/0.97 (* end of lemma zenon_L501_ *) % 0.80/0.97 assert (zenon_L502_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp18)\/(hskp20))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H11f zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_H82 zenon_H83 zenon_H84 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H17f zenon_H1f7 zenon_H17e zenon_H48 zenon_H207 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_H297 zenon_H2a zenon_H296. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_L501_); trivial. % 0.80/0.97 apply (zenon_L488_); trivial. % 0.80/0.97 (* end of lemma zenon_L502_ *) % 0.80/0.97 assert (zenon_L503_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp10)) -> False). % 0.80/0.97 do 0 intro. intros zenon_Hd3 zenon_H3d zenon_H33 zenon_H6f zenon_He8 zenon_He7 zenon_He6 zenon_H159 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_Hfb zenon_H51. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.97 apply (zenon_L44_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.97 apply (zenon_L57_); trivial. % 0.80/0.97 apply (zenon_L97_); trivial. % 0.80/0.97 (* end of lemma zenon_L503_ *) % 0.80/0.97 assert (zenon_L504_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a471)) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H4a zenon_H11f zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_H82 zenon_H83 zenon_H84 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H17f zenon_H1f7 zenon_H17e zenon_H48 zenon_H207 zenon_H159 zenon_H51 zenon_He8 zenon_He6 zenon_He7 zenon_Hd3 zenon_H14b zenon_H14c zenon_H14d zenon_Hfd. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.97 apply (zenon_L232_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.97 apply (zenon_L503_); trivial. % 0.80/0.97 exact (zenon_Hfb zenon_Hfc). % 0.80/0.97 apply (zenon_L488_); trivial. % 0.80/0.97 (* end of lemma zenon_L504_ *) % 0.80/0.97 assert (zenon_L505_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a500))) -> (c1_1 (a500)) -> (c2_1 (a500)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H201 zenon_H7 zenon_H29a zenon_H29b zenon_H29c. % 0.80/0.97 generalize (zenon_H201 (a500)). zenon_intro zenon_H29d. % 0.80/0.97 apply (zenon_imply_s _ _ zenon_H29d); [ zenon_intro zenon_H6 | zenon_intro zenon_H29e ]. % 0.80/0.97 exact (zenon_H6 zenon_H7). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H29f ]. % 0.80/0.97 exact (zenon_H29a zenon_H2a0). % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H2a2 | zenon_intro zenon_H2a1 ]. % 0.80/0.97 exact (zenon_H2a2 zenon_H29b). % 0.80/0.97 exact (zenon_H2a1 zenon_H29c). % 0.80/0.97 (* end of lemma zenon_L505_ *) % 0.80/0.97 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a500))/\((c2_1 (a500))/\(~(c0_1 (a500)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(hskp2)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H2a3 zenon_H207 zenon_H84 zenon_H83 zenon_H82 zenon_H48. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H7. zenon_intro zenon_H2a4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29b. zenon_intro zenon_H2a5. % 0.80/0.97 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H29c. zenon_intro zenon_H29a. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.97 apply (zenon_L35_); trivial. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.97 apply (zenon_L505_); trivial. % 0.80/0.97 exact (zenon_H48 zenon_H49). % 0.80/0.97 (* end of lemma zenon_L506_ *) % 0.80/0.97 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(c2_1 (a468))) -> (c0_1 (a468)) -> (c3_1 (a468)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_He2 zenon_He1 zenon_Ha3 zenon_H9f zenon_H7f zenon_H7b zenon_Hdb zenon_H19a zenon_H197 zenon_H17e zenon_H17f zenon_H194 zenon_H170 zenon_H171 zenon_H172 zenon_H17b zenon_H19e zenon_H19f zenon_H1a0 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H1b0 zenon_H285 zenon_H29. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.97 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.97 apply (zenon_L475_); trivial. % 0.80/0.97 apply (zenon_L116_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 apply (zenon_L462_); trivial. % 0.80/0.97 (* end of lemma zenon_L507_ *) % 0.80/0.97 assert (zenon_L508_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a468)) -> (c0_1 (a468)) -> (~(c2_1 (a468))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.97 do 0 intro. intros zenon_H29 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H17b zenon_H172 zenon_H171 zenon_H170 zenon_H194 zenon_H51 zenon_H17f zenon_H17e zenon_H197 zenon_H19a zenon_Hdb. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.97 apply (zenon_L117_); trivial. % 0.80/0.97 apply (zenon_L459_); trivial. % 0.80/0.97 (* end of lemma zenon_L508_ *) % 0.80/0.97 assert (zenon_L509_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp7))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.80/0.97 do 0 intro. intros zenon_H2a6 zenon_H20c zenon_H20b zenon_H20a zenon_H271 zenon_H270 zenon_H26f zenon_H7 zenon_H1c0. % 0.80/0.97 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H209 | zenon_intro zenon_H2a7 ]. % 0.80/0.98 apply (zenon_L220_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H26e | zenon_intro zenon_H1c1 ]. % 0.80/0.98 apply (zenon_L362_); trivial. % 0.80/0.98 exact (zenon_H1c0 zenon_H1c1). % 0.80/0.98 (* end of lemma zenon_L509_ *) % 0.80/0.98 assert (zenon_L510_ : (forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73)))))) -> (ndr1_0) -> (~(c1_1 (a474))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H43 zenon_H7 zenon_H1df zenon_H17d zenon_H1e0 zenon_H1e1. % 0.80/0.98 generalize (zenon_H43 (a474)). zenon_intro zenon_H2a8. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H2a8); [ zenon_intro zenon_H6 | zenon_intro zenon_H2a9 ]. % 0.80/0.98 exact (zenon_H6 zenon_H7). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H292 ]. % 0.80/0.98 exact (zenon_H1df zenon_H1e9). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1ec ]. % 0.80/0.98 generalize (zenon_H17d (a474)). zenon_intro zenon_H1e2. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H1e2); [ zenon_intro zenon_H6 | zenon_intro zenon_H1e3 ]. % 0.80/0.98 exact (zenon_H6 zenon_H7). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ]. % 0.80/0.98 exact (zenon_H1ea zenon_H1e5). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ec ]. % 0.80/0.98 exact (zenon_H1e0 zenon_H1eb). % 0.80/0.98 exact (zenon_H1ec zenon_H1e1). % 0.80/0.98 exact (zenon_H1ec zenon_H1e1). % 0.80/0.98 (* end of lemma zenon_L510_ *) % 0.80/0.98 assert (zenon_L511_ : ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c1_1 (a474))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp12)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H61 zenon_H1e1 zenon_H1e0 zenon_H17d zenon_H1df zenon_H7 zenon_H5e zenon_Ha. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H64 ]. % 0.80/0.98 apply (zenon_L510_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_Hb ]. % 0.80/0.98 exact (zenon_H5e zenon_H5f). % 0.80/0.98 exact (zenon_Ha zenon_Hb). % 0.80/0.98 (* end of lemma zenon_L511_ *) % 0.80/0.98 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp12)) -> (~(hskp3)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H4a zenon_H1bc zenon_Ha zenon_H5e zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H61 zenon_H79 zenon_H7b zenon_H3a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.98 apply (zenon_L511_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L45_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 (* end of lemma zenon_L512_ *) % 0.80/0.98 assert (zenon_L513_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp3)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd9 zenon_H1bc zenon_H79 zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H5e zenon_H61 zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278 zenon_H263. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L364_); trivial. % 0.80/0.98 apply (zenon_L512_); trivial. % 0.80/0.98 (* end of lemma zenon_L513_ *) % 0.80/0.98 assert (zenon_L514_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9e zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H7d zenon_Ha zenon_H21a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_L248_); trivial. % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 (* end of lemma zenon_L514_ *) % 0.80/0.98 assert (zenon_L515_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hde zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_H21a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_L224_); trivial. % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 (* end of lemma zenon_L515_ *) % 0.80/0.98 assert (zenon_L516_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp3)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hdb zenon_Hd9 zenon_H1bc zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H5e zenon_H61 zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278 zenon_H263 zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_H27a zenon_Hd4 zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L513_); trivial. % 0.80/0.98 apply (zenon_L514_); trivial. % 0.80/0.98 apply (zenon_L515_); trivial. % 0.80/0.98 (* end of lemma zenon_L516_ *) % 0.80/0.98 assert (zenon_L517_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Ha3 zenon_Hd4 zenon_H27a zenon_H5e zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H7d zenon_H21a zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L375_); trivial. % 0.80/0.98 apply (zenon_L514_); trivial. % 0.80/0.98 (* end of lemma zenon_L517_ *) % 0.80/0.98 assert (zenon_L518_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (ndr1_0) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hdb zenon_H278 zenon_Ha zenon_H271 zenon_H270 zenon_H26f zenon_H7 zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_H5e zenon_H27a zenon_Hd4 zenon_Ha3. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_L517_); trivial. % 0.80/0.98 apply (zenon_L515_); trivial. % 0.80/0.98 (* end of lemma zenon_L518_ *) % 0.80/0.98 assert (zenon_L519_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (ndr1_0) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H7 zenon_H20a zenon_H20b zenon_H20c zenon_Hf9 zenon_H2a zenon_Hf7 zenon_H84 zenon_H83 zenon_H21a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.80/0.98 apply (zenon_L220_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.80/0.98 apply (zenon_L398_); trivial. % 0.80/0.98 exact (zenon_Ha4 zenon_Ha5). % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 (* end of lemma zenon_L519_ *) % 0.80/0.98 assert (zenon_L520_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c0_1 (a493))) -> (~(c2_1 (a493))) -> (c1_1 (a493)) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9e zenon_H11e zenon_H285 zenon_H1b zenon_H1a zenon_H19 zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_Hf9 zenon_H21a zenon_H121 zenon_H122 zenon_H123 zenon_Hef zenon_H12d zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L519_); trivial. % 0.80/0.98 apply (zenon_L85_); trivial. % 0.80/0.98 apply (zenon_L382_); trivial. % 0.80/0.98 (* end of lemma zenon_L520_ *) % 0.80/0.98 assert (zenon_L521_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H24 zenon_H164 zenon_Hf5 zenon_Hef zenon_H238 zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H22a zenon_Hd9 zenon_H12d zenon_H21a zenon_Hf9 zenon_H20c zenon_H20b zenon_H20a zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_Hd4 zenon_H285 zenon_H11e zenon_Ha3 zenon_H163. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.98 apply (zenon_L62_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L379_); trivial. % 0.80/0.98 apply (zenon_L520_); trivial. % 0.80/0.98 apply (zenon_L372_); trivial. % 0.80/0.98 (* end of lemma zenon_L521_ *) % 0.80/0.98 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_He2 zenon_H29 zenon_H164 zenon_Hf5 zenon_Hef zenon_H238 zenon_H22a zenon_Hd9 zenon_H12d zenon_Hf9 zenon_H285 zenon_H11e zenon_H163 zenon_Ha3 zenon_Hd4 zenon_H27a zenon_H5e zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H21a zenon_H7b zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_Hdb. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_L518_); trivial. % 0.80/0.98 apply (zenon_L521_); trivial. % 0.80/0.98 (* end of lemma zenon_L522_ *) % 0.80/0.98 assert (zenon_L523_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp3)) -> (c1_1 (a470)) -> (c2_1 (a470)) -> (c3_1 (a470)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H205 zenon_H5e zenon_H10d zenon_H100 zenon_H101 zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7 zenon_H17d zenon_H3a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H201 | zenon_intro zenon_H206 ]. % 0.80/0.98 apply (zenon_L386_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L166_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 (* end of lemma zenon_L523_ *) % 0.80/0.98 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H10a zenon_H1bc zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H205 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H3a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.98 apply (zenon_L523_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L403_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 (* end of lemma zenon_L524_ *) % 0.80/0.98 assert (zenon_L525_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp20)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58))))))\/((hskp18)\/(hskp20))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H11f zenon_H1bc zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H3a zenon_H205 zenon_H159 zenon_H51 zenon_H14d zenon_H14c zenon_H14b zenon_H7 zenon_H297 zenon_H2a zenon_H296. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_L501_); trivial. % 0.80/0.98 apply (zenon_L524_); trivial. % 0.80/0.98 (* end of lemma zenon_L525_ *) % 0.80/0.98 assert (zenon_L526_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(c0_1 (a480))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H8b zenon_H7 zenon_H1a zenon_H1b zenon_H17d zenon_H19. % 0.80/0.98 generalize (zenon_H8b (a480)). zenon_intro zenon_H2aa. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H6 | zenon_intro zenon_H2ab ]. % 0.80/0.98 exact (zenon_H6 zenon_H7). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H21 | zenon_intro zenon_H2ac ]. % 0.80/0.98 exact (zenon_H1a zenon_H21). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H20 | zenon_intro zenon_H2ad ]. % 0.80/0.98 exact (zenon_H1b zenon_H20). % 0.80/0.98 generalize (zenon_H17d (a480)). zenon_intro zenon_H2ae. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H2ae); [ zenon_intro zenon_H6 | zenon_intro zenon_H2af ]. % 0.80/0.98 exact (zenon_H6 zenon_H7). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H1f | zenon_intro zenon_H2b0 ]. % 0.80/0.98 exact (zenon_H19 zenon_H1f). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H20 | zenon_intro zenon_H2b1 ]. % 0.80/0.98 exact (zenon_H1b zenon_H20). % 0.80/0.98 exact (zenon_H2b1 zenon_H2ad). % 0.80/0.98 (* end of lemma zenon_L526_ *) % 0.80/0.98 assert (zenon_L527_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a480))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (~(hskp17)) -> (ndr1_0) -> (c2_1 (a503)) -> (c3_1 (a503)) -> (~(c1_1 (a503))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H1bc zenon_H19 zenon_H1b zenon_H1a zenon_H8b zenon_H79 zenon_H7 zenon_H33 zenon_H3d zenon_H32 zenon_H7b zenon_H3a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.98 apply (zenon_L526_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L45_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 (* end of lemma zenon_L527_ *) % 0.80/0.98 assert (zenon_L528_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a480))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H4a zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_H1bc zenon_H3a zenon_H79 zenon_H7b zenon_H19 zenon_H1b zenon_H1a zenon_H21a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.80/0.98 apply (zenon_L220_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.80/0.98 apply (zenon_L527_); trivial. % 0.80/0.98 exact (zenon_Ha4 zenon_Ha5). % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 (* end of lemma zenon_L528_ *) % 0.80/0.98 assert (zenon_L529_ : (~(hskp13)) -> (hskp13) -> False). % 0.80/0.98 do 0 intro. intros zenon_H2b2 zenon_H2b3. % 0.80/0.98 exact (zenon_H2b2 zenon_H2b3). % 0.80/0.98 (* end of lemma zenon_L529_ *) % 0.80/0.98 assert (zenon_L530_ : ((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp13))) -> (c2_1 (a500)) -> (c1_1 (a500)) -> (~(c0_1 (a500))) -> (~(hskp13)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H265 zenon_H2b4 zenon_H29c zenon_H29b zenon_H29a zenon_H2b2. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H201 | zenon_intro zenon_H2b5 ]. % 0.80/0.98 apply (zenon_L505_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H224 | zenon_intro zenon_H2b3 ]. % 0.80/0.98 apply (zenon_L328_); trivial. % 0.80/0.98 exact (zenon_H2b2 zenon_H2b3). % 0.80/0.98 (* end of lemma zenon_L530_ *) % 0.80/0.98 assert (zenon_L531_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a500)) -> (c1_1 (a500)) -> (~(c0_1 (a500))) -> (~(hskp9)) -> (~(hskp20)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H263 zenon_H2b4 zenon_H2b2 zenon_H29c zenon_H29b zenon_H29a zenon_H3a zenon_H2a zenon_H24f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.98 apply (zenon_L325_); trivial. % 0.80/0.98 apply (zenon_L530_); trivial. % 0.80/0.98 (* end of lemma zenon_L531_ *) % 0.80/0.98 assert (zenon_L532_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (c2_1 (a500)) -> (c1_1 (a500)) -> (~(c0_1 (a500))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33)))))) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H205 zenon_H29c zenon_H29b zenon_H29a zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7 zenon_H17d zenon_H3a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H201 | zenon_intro zenon_H206 ]. % 0.80/0.98 apply (zenon_L505_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L166_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 (* end of lemma zenon_L532_ *) % 0.80/0.98 assert (zenon_L533_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(c0_1 (a500))) -> (c1_1 (a500)) -> (c2_1 (a500)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H4a zenon_H1bc zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H29a zenon_H29b zenon_H29c zenon_H205 zenon_H79 zenon_H7b zenon_H3a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.98 apply (zenon_L532_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L45_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 (* end of lemma zenon_L533_ *) % 0.80/0.98 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a500))/\((c2_1 (a500))/\(~(c0_1 (a500)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H2a3 zenon_Hd9 zenon_H1bc zenon_H79 zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H205 zenon_H24f zenon_H3a zenon_H2b2 zenon_H2b4 zenon_H263. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H7. zenon_intro zenon_H2a4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29b. zenon_intro zenon_H2a5. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H29c. zenon_intro zenon_H29a. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L531_); trivial. % 0.80/0.98 apply (zenon_L533_); trivial. % 0.80/0.98 (* end of lemma zenon_L534_ *) % 0.80/0.98 assert (zenon_L535_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c0_1 (a494))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp27)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hfb zenon_Hd3 zenon_H3d zenon_H33 zenon_H84 zenon_H83 zenon_H7 zenon_H14a zenon_H14b zenon_H14c zenon_H14d zenon_H82 zenon_Hfd zenon_Ha4. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.80/0.98 apply (zenon_L220_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.80/0.98 apply (zenon_L401_); trivial. % 0.80/0.98 exact (zenon_Ha4 zenon_Ha5). % 0.80/0.98 (* end of lemma zenon_L535_ *) % 0.80/0.98 assert (zenon_L536_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a470)) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp27)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H14d zenon_H14c zenon_H14b zenon_H14a zenon_H7 zenon_H83 zenon_H84 zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H10d zenon_H101 zenon_H100 zenon_H5e zenon_Hd3 zenon_Ha4. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.80/0.98 apply (zenon_L220_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.80/0.98 apply (zenon_L404_); trivial. % 0.80/0.98 exact (zenon_Ha4 zenon_Ha5). % 0.80/0.98 (* end of lemma zenon_L536_ *) % 0.80/0.98 assert (zenon_L537_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> (~(c1_1 (a503))) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H10a zenon_Hd4 zenon_H19 zenon_H1a zenon_H1b zenon_H32 zenon_H33 zenon_H3d zenon_H21a zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H83 zenon_H84 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H20c zenon_H20b zenon_H20a zenon_H289. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L84_); trivial. % 0.80/0.98 apply (zenon_L536_); trivial. % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 (* end of lemma zenon_L537_ *) % 0.80/0.98 assert (zenon_L538_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (~(c0_1 (a502))) -> (c2_1 (a502)) -> (c3_1 (a502)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp27)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H14d zenon_H14c zenon_H14b zenon_H14a zenon_H7 zenon_H83 zenon_H84 zenon_H112 zenon_H113 zenon_H114 zenon_Hd3 zenon_Ha4. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.80/0.98 apply (zenon_L220_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.80/0.98 apply (zenon_L407_); trivial. % 0.80/0.98 exact (zenon_Ha4 zenon_Ha5). % 0.80/0.98 (* end of lemma zenon_L538_ *) % 0.80/0.98 assert (zenon_L539_ : ((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H11b zenon_Hd4 zenon_H27a zenon_H5e zenon_H19 zenon_H1a zenon_H1b zenon_H289 zenon_H20a zenon_H20b zenon_H20c zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_H84 zenon_H83 zenon_H21a zenon_H26f zenon_H270 zenon_H271 zenon_H285. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L87_); trivial. % 0.80/0.98 apply (zenon_L538_); trivial. % 0.80/0.98 apply (zenon_L362_); trivial. % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 (* end of lemma zenon_L539_ *) % 0.80/0.98 assert (zenon_L540_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9e zenon_H11e zenon_H285 zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_Hf9 zenon_H21a zenon_H19 zenon_H1a zenon_H1b zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_Hfd zenon_H289 zenon_H11f zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L519_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L84_); trivial. % 0.80/0.98 apply (zenon_L535_); trivial. % 0.80/0.98 apply (zenon_L437_); trivial. % 0.80/0.98 apply (zenon_L537_); trivial. % 0.80/0.98 apply (zenon_L539_); trivial. % 0.80/0.98 (* end of lemma zenon_L540_ *) % 0.80/0.98 assert (zenon_L541_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a483))) -> (c0_1 (a483)) -> (c2_1 (a483)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H14a zenon_H7 zenon_H2b6 zenon_H2b7 zenon_H2b8. % 0.80/0.98 generalize (zenon_H14a (a483)). zenon_intro zenon_H2b9. % 0.80/0.98 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_H6 | zenon_intro zenon_H2ba ]. % 0.80/0.98 exact (zenon_H6 zenon_H7). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2bc | zenon_intro zenon_H2bb ]. % 0.80/0.98 exact (zenon_H2b6 zenon_H2bc). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2be | zenon_intro zenon_H2bd ]. % 0.80/0.98 exact (zenon_H2be zenon_H2b7). % 0.80/0.98 exact (zenon_H2bd zenon_H2b8). % 0.80/0.98 (* end of lemma zenon_L541_ *) % 0.80/0.98 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c3_1 (a483))) -> (c0_1 (a483)) -> (c2_1 (a483)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H235 zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H2b6 zenon_H2b7 zenon_H2b8. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L367_); trivial. % 0.80/0.98 apply (zenon_L541_); trivial. % 0.80/0.98 (* end of lemma zenon_L542_ *) % 0.80/0.98 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a483)) -> (c0_1 (a483)) -> (~(c3_1 (a483))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H265 zenon_H238 zenon_H289 zenon_H2b8 zenon_H2b7 zenon_H2b6 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H19 zenon_H1a zenon_H1b zenon_H22a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.98 apply (zenon_L366_); trivial. % 0.80/0.98 apply (zenon_L542_); trivial. % 0.80/0.98 (* end of lemma zenon_L543_ *) % 0.80/0.98 assert (zenon_L544_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(c3_1 (a483))) -> (c0_1 (a483)) -> (c2_1 (a483)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H4a zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H2b6 zenon_H2b7 zenon_H2b8. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L84_); trivial. % 0.80/0.98 apply (zenon_L541_); trivial. % 0.80/0.98 (* end of lemma zenon_L544_ *) % 0.80/0.98 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a483))/\((c2_1 (a483))/\(~(c3_1 (a483)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H2bf zenon_Hd9 zenon_H24f zenon_H3a zenon_H22a zenon_H1b zenon_H1a zenon_H19 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H289 zenon_H238 zenon_H263. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H7. zenon_intro zenon_H2c0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2b7. zenon_intro zenon_H2c1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2b8. zenon_intro zenon_H2b6. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.98 apply (zenon_L325_); trivial. % 0.80/0.98 apply (zenon_L543_); trivial. % 0.80/0.98 apply (zenon_L544_); trivial. % 0.80/0.98 (* end of lemma zenon_L545_ *) % 0.80/0.98 assert (zenon_L546_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp9))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> (~(c3_1 (a477))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hd9 zenon_Hd4 zenon_H20a zenon_H20b zenon_H20c zenon_H1bc zenon_H79 zenon_H7b zenon_H21a zenon_H24f zenon_H3a zenon_H22a zenon_H1b zenon_H1a zenon_H19 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H264 zenon_H96 zenon_H97 zenon_H95 zenon_H289 zenon_H238 zenon_H263. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L389_); trivial. % 0.80/0.98 apply (zenon_L528_); trivial. % 0.80/0.98 (* end of lemma zenon_L546_ *) % 0.80/0.98 assert (zenon_L547_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a474)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9e zenon_H19a zenon_H15d zenon_H139 zenon_H51 zenon_H197 zenon_H17b zenon_H1e1 zenon_H1df zenon_H1e0 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H179 | zenon_intro zenon_H196 ]. % 0.80/0.98 apply (zenon_L490_); trivial. % 0.80/0.98 apply (zenon_L146_); trivial. % 0.80/0.98 (* end of lemma zenon_L547_ *) % 0.80/0.98 assert (zenon_L548_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a474)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H51 zenon_H197 zenon_H17b zenon_H1e1 zenon_H1df zenon_H1e0 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H2e zenon_Ha zenon_H2c zenon_H19e zenon_H19f zenon_H1a0 zenon_H7b zenon_H1be zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L132_); trivial. % 0.80/0.98 apply (zenon_L547_); trivial. % 0.80/0.98 (* end of lemma zenon_L548_ *) % 0.80/0.98 assert (zenon_L549_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hda zenon_H29 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H163 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_Hd9 zenon_H1bc zenon_H3a zenon_H7b zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_H2c zenon_H2e zenon_H7f zenon_H9f zenon_Ha3 zenon_Hdb. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_L177_); trivial. % 0.80/0.98 apply (zenon_L459_); trivial. % 0.80/0.98 (* end of lemma zenon_L549_ *) % 0.80/0.98 assert (zenon_L550_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (c3_1 (a474)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_He2 zenon_He1 zenon_H9f zenon_H7f zenon_Hdb zenon_Ha3 zenon_H19a zenon_H15d zenon_H139 zenon_H197 zenon_H17b zenon_H1e1 zenon_H1df zenon_H1e0 zenon_H285 zenon_H7b zenon_H19e zenon_H19f zenon_H1a0 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H1b0 zenon_H29. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.98 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_L475_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L375_); trivial. % 0.80/0.98 apply (zenon_L547_); trivial. % 0.80/0.98 apply (zenon_L459_); trivial. % 0.80/0.98 apply (zenon_L462_); trivial. % 0.80/0.98 (* end of lemma zenon_L550_ *) % 0.80/0.98 assert (zenon_L551_ : ((ndr1_0)/\((c3_1 (a474))/\((~(c1_1 (a474)))/\(~(c2_1 (a474)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a490))/\((c1_1 (a490))/\(c2_1 (a490)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c1_1 X18))\/(~(c2_1 X18))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((~(c0_1 X62))\/(~(c3_1 X62))))))\/(hskp28))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H26b zenon_He5 zenon_H278 zenon_H29 zenon_H163 zenon_H1be zenon_Hd9 zenon_H1bc zenon_H7b zenon_H1b2 zenon_H2c zenon_H2e zenon_H1b0 zenon_H1a0 zenon_H19f zenon_H19e zenon_H139 zenon_H15d zenon_Ha3 zenon_H19a zenon_H197 zenon_H17b zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_Hdb zenon_H9f zenon_H7f zenon_He1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.98 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_L170_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L169_); trivial. % 0.80/0.98 apply (zenon_L547_); trivial. % 0.80/0.98 apply (zenon_L548_); trivial. % 0.80/0.98 apply (zenon_L459_); trivial. % 0.80/0.98 apply (zenon_L549_); trivial. % 0.80/0.98 apply (zenon_L550_); trivial. % 0.80/0.98 (* end of lemma zenon_L551_ *) % 0.80/0.98 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H166 zenon_Ha3 zenon_Hfd zenon_H51 zenon_H159 zenon_H139 zenon_H15d zenon_H11f zenon_Hd9 zenon_H1be zenon_H7b zenon_H1a0 zenon_H19f zenon_H19e zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H21a zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_Hd4 zenon_H11e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L348_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.98 apply (zenon_L234_); trivial. % 0.80/0.98 apply (zenon_L185_); trivial. % 0.80/0.98 (* end of lemma zenon_L552_ *) % 0.80/0.98 assert (zenon_L553_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H285 zenon_H3a zenon_H17e zenon_H1f7 zenon_H17f zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_Hf3 zenon_H79 zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H7 zenon_H26f zenon_H270 zenon_H271. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.98 apply (zenon_L167_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.98 apply (zenon_L199_); trivial. % 0.80/0.98 exact (zenon_H3a zenon_H3b). % 0.80/0.98 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.98 apply (zenon_L121_); trivial. % 0.80/0.98 apply (zenon_L362_); trivial. % 0.80/0.98 (* end of lemma zenon_L553_ *) % 0.80/0.98 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hc3 zenon_H285 zenon_H3a zenon_H17e zenon_H1f7 zenon_H17f zenon_H1b0 zenon_Hd3 zenon_H84 zenon_H83 zenon_Hc4 zenon_H7d zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.98 apply (zenon_L257_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.98 apply (zenon_L121_); trivial. % 0.80/0.98 apply (zenon_L362_); trivial. % 0.80/0.98 (* end of lemma zenon_L554_ *) % 0.80/0.98 assert (zenon_L555_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hde zenon_Hd4 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_Hc4 zenon_H17f zenon_H17e zenon_H1f7 zenon_H3a zenon_H1bc zenon_H20a zenon_H20b zenon_H20c zenon_H21a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_L224_); trivial. % 0.80/0.98 apply (zenon_L493_); trivial. % 0.80/0.98 (* end of lemma zenon_L555_ *) % 0.80/0.98 assert (zenon_L556_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (ndr1_0) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H29 zenon_H163 zenon_H1be zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_H1b2 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H7 zenon_H17e zenon_H1f7 zenon_H17f zenon_H3a zenon_H1bc zenon_H21a zenon_H7f zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_Hd3 zenon_H1b0 zenon_Hd4 zenon_Ha3 zenon_Hdb. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L553_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_L248_); trivial. % 0.80/0.98 apply (zenon_L554_); trivial. % 0.80/0.98 apply (zenon_L484_); trivial. % 0.80/0.98 apply (zenon_L555_); trivial. % 0.80/0.98 apply (zenon_L459_); trivial. % 0.80/0.98 (* end of lemma zenon_L556_ *) % 0.80/0.98 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hc3 zenon_H285 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.98 apply (zenon_L238_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.98 apply (zenon_L121_); trivial. % 0.80/0.98 apply (zenon_L362_); trivial. % 0.80/0.98 (* end of lemma zenon_L557_ *) % 0.80/0.98 assert (zenon_L558_ : ((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hde zenon_Hd4 zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1a0 zenon_H19f zenon_H19e zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H21a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.98 apply (zenon_L224_); trivial. % 0.80/0.98 apply (zenon_L557_); trivial. % 0.80/0.98 (* end of lemma zenon_L558_ *) % 0.80/0.98 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_He2 zenon_H29 zenon_H1b0 zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H1a0 zenon_H19f zenon_H19e zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_H285 zenon_Hd4 zenon_Hdb. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_L475_); trivial. % 0.80/0.98 apply (zenon_L558_); trivial. % 0.80/0.98 apply (zenon_L459_); trivial. % 0.80/0.98 (* end of lemma zenon_L559_ *) % 0.80/0.98 assert (zenon_L560_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H137 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L273_); trivial. % 0.80/0.98 apply (zenon_L376_); trivial. % 0.80/0.98 (* end of lemma zenon_L560_ *) % 0.80/0.98 assert (zenon_L561_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H29 zenon_H285 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H163 zenon_Hd9 zenon_H12d zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H263 zenon_Hef zenon_Hf5 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H27a zenon_H5e zenon_H137 zenon_Ha3 zenon_H164 zenon_Hdb. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.98 apply (zenon_L58_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.98 apply (zenon_L416_); trivial. % 0.80/0.98 apply (zenon_L560_); trivial. % 0.80/0.98 apply (zenon_L418_); trivial. % 0.80/0.98 (* end of lemma zenon_L561_ *) % 0.80/0.98 assert (zenon_L562_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp12)) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp26)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_H66 zenon_H67 zenon_H68 zenon_H278 zenon_Hfb. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.98 apply (zenon_L268_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.98 apply (zenon_L420_); trivial. % 0.80/0.98 exact (zenon_Hfb zenon_Hfc). % 0.80/0.98 (* end of lemma zenon_L562_ *) % 0.80/0.98 assert (zenon_L563_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> False). % 0.80/0.98 do 0 intro. intros zenon_Ha3 zenon_H11f zenon_H15d zenon_H139 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H7b zenon_H68 zenon_H67 zenon_H66 zenon_H7 zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.98 apply (zenon_L375_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_L562_); trivial. % 0.80/0.98 apply (zenon_L99_); trivial. % 0.80/0.98 (* end of lemma zenon_L563_ *) % 0.80/0.98 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_He2 zenon_H29 zenon_H164 zenon_H5e zenon_H27a zenon_Hf5 zenon_Hef zenon_Hd9 zenon_H12d zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H285 zenon_H11e zenon_H163 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H7b zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H139 zenon_H15d zenon_H11f zenon_Ha3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.98 apply (zenon_L563_); trivial. % 0.80/0.98 apply (zenon_L418_); trivial. % 0.80/0.98 (* end of lemma zenon_L564_ *) % 0.80/0.98 assert (zenon_L565_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (c3_1 (a461)) -> (c2_1 (a461)) -> (c0_1 (a461)) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.80/0.98 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H22e zenon_H22d zenon_H22c zenon_H7 zenon_Hfb. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.98 apply (zenon_L268_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.98 apply (zenon_L243_); trivial. % 0.80/0.98 exact (zenon_Hfb zenon_Hfc). % 0.80/0.98 (* end of lemma zenon_L565_ *) % 0.80/0.98 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (c0_1 (a461)) -> (c2_1 (a461)) -> (c3_1 (a461)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H10a zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H22c zenon_H22d zenon_H22e zenon_Hd3 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_He8 zenon_He7 zenon_He6 zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L367_); trivial. % 0.80/0.98 apply (zenon_L431_); trivial. % 0.80/0.98 (* end of lemma zenon_L566_ *) % 0.80/0.98 assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H235 zenon_H11f zenon_H289 zenon_He6 zenon_He7 zenon_He8 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H1b zenon_H1a zenon_H19 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_L565_); trivial. % 0.80/0.98 apply (zenon_L566_); trivial. % 0.80/0.98 (* end of lemma zenon_L567_ *) % 0.80/0.98 assert (zenon_L568_ : ((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H265 zenon_H238 zenon_H11f zenon_H289 zenon_He6 zenon_He7 zenon_He8 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H19 zenon_H1a zenon_H1b zenon_H22a. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.98 apply (zenon_L366_); trivial. % 0.80/0.98 apply (zenon_L567_); trivial. % 0.80/0.98 (* end of lemma zenon_L568_ *) % 0.80/0.98 assert (zenon_L569_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(hskp9)) -> (~(hskp20)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H263 zenon_H238 zenon_H11f zenon_H289 zenon_He6 zenon_He7 zenon_He8 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H19 zenon_H1a zenon_H1b zenon_H22a zenon_H3a zenon_H2a zenon_H24f. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.98 apply (zenon_L325_); trivial. % 0.80/0.98 apply (zenon_L568_); trivial. % 0.80/0.98 (* end of lemma zenon_L569_ *) % 0.80/0.98 assert (zenon_L570_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H4a zenon_H11f zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H19 zenon_H1a zenon_H1b zenon_Hfd zenon_He6 zenon_He7 zenon_He8 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H23b zenon_H23a zenon_H239 zenon_H289. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L84_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.98 apply (zenon_L268_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.98 apply (zenon_L428_); trivial. % 0.80/0.98 exact (zenon_Hfb zenon_Hfc). % 0.80/0.98 apply (zenon_L432_); trivial. % 0.80/0.98 (* end of lemma zenon_L570_ *) % 0.80/0.98 assert (zenon_L571_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H24 zenon_Hd9 zenon_H24f zenon_H3a zenon_H22a zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_He8 zenon_He7 zenon_He6 zenon_H289 zenon_H11f zenon_H238 zenon_H263. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L569_); trivial. % 0.80/0.98 apply (zenon_L570_); trivial. % 0.80/0.98 (* end of lemma zenon_L571_ *) % 0.80/0.98 assert (zenon_L572_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp17)) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H11e zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H79 zenon_Ha6 zenon_Hfd zenon_Hd3 zenon_H23b zenon_H23a zenon_H239 zenon_H19 zenon_H1a zenon_H1b zenon_H14d zenon_H14c zenon_H14b zenon_H289 zenon_H11f zenon_Hd2 zenon_Hd9. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L64_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.80/0.98 apply (zenon_L438_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_H7. zenon_intro zenon_Hd6. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd6). zenon_intro zenon_Hca. zenon_intro zenon_Hd7. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_L272_); trivial. % 0.80/0.98 apply (zenon_L432_); trivial. % 0.80/0.98 apply (zenon_L439_); trivial. % 0.80/0.98 (* end of lemma zenon_L572_ *) % 0.80/0.98 assert (zenon_L573_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(c1_1 (a503))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a494))) -> (~(hskp26)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (ndr1_0) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H289 zenon_H1b zenon_H1a zenon_H19 zenon_H32 zenon_H9f zenon_H82 zenon_Hfb zenon_Hd3 zenon_H3d zenon_H33 zenon_H84 zenon_H83 zenon_H14b zenon_H14c zenon_H14d zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H7 zenon_H95 zenon_H96 zenon_H97. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.98 apply (zenon_L84_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha2 ]. % 0.80/0.98 apply (zenon_L35_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8b | zenon_intro zenon_H94 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.98 apply (zenon_L268_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.98 apply (zenon_L400_); trivial. % 0.80/0.98 exact (zenon_Hfb zenon_Hfc). % 0.80/0.98 apply (zenon_L38_); trivial. % 0.80/0.98 (* end of lemma zenon_L573_ *) % 0.80/0.98 assert (zenon_L574_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(c3_1 (a477))) -> (c1_1 (a477)) -> (c2_1 (a477)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.98 do 0 intro. intros zenon_H9e zenon_H11e zenon_H285 zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H289 zenon_Hfd zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H23b zenon_H23a zenon_H239 zenon_H95 zenon_H96 zenon_H97 zenon_H9f zenon_H1b zenon_H1a zenon_H19 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H11f zenon_Hd9. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.98 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.98 apply (zenon_L64_); trivial. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.98 apply (zenon_L573_); trivial. % 0.80/0.98 apply (zenon_L432_); trivial. % 0.80/0.98 apply (zenon_L409_); trivial. % 0.80/0.98 (* end of lemma zenon_L574_ *) % 0.80/0.98 assert (zenon_L575_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp25)) -> False). % 0.80/0.98 do 0 intro. intros zenon_H22a zenon_H1b zenon_H1a zenon_H19 zenon_Hfb zenon_H7 zenon_H66 zenon_H67 zenon_H68 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H228. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H18 | zenon_intro zenon_H22b ]. % 0.80/0.98 apply (zenon_L8_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H224 | zenon_intro zenon_H229 ]. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.98 apply (zenon_L268_); trivial. % 0.80/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.98 apply (zenon_L239_); trivial. % 0.80/0.98 exact (zenon_Hfb zenon_Hfc). % 0.80/0.98 exact (zenon_H228 zenon_H229). % 0.80/0.98 (* end of lemma zenon_L575_ *) % 0.80/0.98 assert (zenon_L576_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H4a zenon_H238 zenon_H22a zenon_H239 zenon_H23a zenon_H23b zenon_H66 zenon_H67 zenon_H68 zenon_Hfd zenon_H1b zenon_H1a zenon_H19 zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_He8 zenon_He7 zenon_He6 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H289 zenon_H11f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L575_); trivial. % 0.80/0.99 apply (zenon_L432_); trivial. % 0.80/0.99 apply (zenon_L567_); trivial. % 0.80/0.99 (* end of lemma zenon_L576_ *) % 0.80/0.99 assert (zenon_L577_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c2_1 (a480))) -> (~(c1_1 (a480))) -> (~(c0_1 (a480))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd9 zenon_H238 zenon_H22a zenon_H239 zenon_H23a zenon_H23b zenon_H66 zenon_H67 zenon_H68 zenon_Hfd zenon_H1b zenon_H1a zenon_H19 zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H289 zenon_H11f zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Hf7 zenon_Hf9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L64_); trivial. % 0.80/0.99 apply (zenon_L576_); trivial. % 0.80/0.99 (* end of lemma zenon_L577_ *) % 0.80/0.99 assert (zenon_L578_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(c0_1 (a502))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (ndr1_0) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp25)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H11f zenon_H285 zenon_H112 zenon_H114 zenon_H113 zenon_Hd3 zenon_H14d zenon_H14c zenon_H14b zenon_He8 zenon_He7 zenon_He6 zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H289 zenon_H7 zenon_H19 zenon_H1a zenon_H1b zenon_Hfd zenon_H68 zenon_H67 zenon_H66 zenon_H23b zenon_H23a zenon_H239 zenon_H228 zenon_H22a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L575_); trivial. % 0.80/0.99 apply (zenon_L435_); trivial. % 0.80/0.99 (* end of lemma zenon_L578_ *) % 0.80/0.99 assert (zenon_L579_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_H11e zenon_H285 zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H11f zenon_H289 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_Hfd zenon_H68 zenon_H67 zenon_H66 zenon_H23b zenon_H23a zenon_H239 zenon_H22a zenon_H238 zenon_Hd9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_L577_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.99 apply (zenon_L578_); trivial. % 0.80/0.99 apply (zenon_L567_); trivial. % 0.80/0.99 (* end of lemma zenon_L579_ *) % 0.80/0.99 assert (zenon_L580_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_He2 zenon_H29 zenon_H11e zenon_H285 zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H289 zenon_H27a zenon_H5e zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H22a zenon_H238 zenon_Hd9 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H7b zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H139 zenon_H15d zenon_H11f zenon_Ha3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L563_); trivial. % 0.80/0.99 apply (zenon_L579_); trivial. % 0.80/0.99 (* end of lemma zenon_L580_ *) % 0.80/0.99 assert (zenon_L581_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp2)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp3)) -> (c1_1 (a492)) -> (c3_1 (a492)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10a zenon_H285 zenon_H48 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H82 zenon_H83 zenon_H84 zenon_H207 zenon_H5e zenon_H13d zenon_H13c zenon_H27a zenon_H26f zenon_H270 zenon_H271. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.99 apply (zenon_L445_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.99 apply (zenon_L371_); trivial. % 0.80/0.99 apply (zenon_L362_); trivial. % 0.80/0.99 (* end of lemma zenon_L581_ *) % 0.80/0.99 assert (zenon_L582_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c2_1 (a476)) -> (c0_1 (a476)) -> (~(c1_1 (a476))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_H285 zenon_H5e zenon_H27a zenon_H17f zenon_H1f7 zenon_H17e zenon_H48 zenon_H207 zenon_H278 zenon_Ha zenon_H271 zenon_H270 zenon_H26f zenon_H68 zenon_H67 zenon_H66 zenon_Hd9 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hfd zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha6 zenon_H7b zenon_H11f zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L273_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L562_); trivial. % 0.80/0.99 apply (zenon_L581_); trivial. % 0.80/0.99 (* end of lemma zenon_L582_ *) % 0.80/0.99 assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (~(hskp8)) -> ((hskp8)\/((hskp15)\/(hskp16))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_He2 zenon_H29 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H163 zenon_Ha3 zenon_H11e zenon_H11f zenon_H285 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_H48 zenon_H207 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_Hf9 zenon_H12d zenon_Hd9 zenon_H7b zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_Hef zenon_Hf5 zenon_Ha6 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H27a zenon_H5e zenon_H164 zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_L62_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L375_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_L86_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L562_); trivial. % 0.80/0.99 apply (zenon_L446_); trivial. % 0.80/0.99 apply (zenon_L582_); trivial. % 0.80/0.99 apply (zenon_L418_); trivial. % 0.80/0.99 (* end of lemma zenon_L583_ *) % 0.80/0.99 assert (zenon_L584_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp9)) -> (ndr1_0) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp26)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H3a zenon_H7 zenon_H33 zenon_H3d zenon_Hd3 zenon_H17f zenon_H17e zenon_He8 zenon_He7 zenon_He6 zenon_H14a zenon_H14b zenon_H14c zenon_H14d zenon_H1bc zenon_Hfb. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.99 apply (zenon_L268_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L448_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L44_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 exact (zenon_Hfb zenon_Hfc). % 0.80/0.99 (* end of lemma zenon_L584_ *) % 0.80/0.99 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp2)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (~(c0_1 (a494))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (~(c1_1 (a503))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(hskp3)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10a zenon_H289 zenon_H48 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H82 zenon_H83 zenon_H84 zenon_H207 zenon_H3d zenon_H33 zenon_H32 zenon_Hd3 zenon_H5e zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_He8 zenon_He7 zenon_He6 zenon_H14b zenon_H14c zenon_H14d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.99 apply (zenon_L445_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_L431_); trivial. % 0.80/0.99 (* end of lemma zenon_L585_ *) % 0.80/0.99 assert (zenon_L586_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp26)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4))))))\/((hskp26)\/(hskp10))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> (~(c0_1 (a502))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H1bc zenon_H51 zenon_Hfb zenon_H14b zenon_H14c zenon_H14d zenon_H159 zenon_He6 zenon_He7 zenon_He8 zenon_H17e zenon_H17f zenon_Hd3 zenon_H114 zenon_H113 zenon_H112 zenon_H7 zenon_H3a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L497_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L78_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 (* end of lemma zenon_L586_ *) % 0.80/0.99 assert (zenon_L587_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c1_1 (a475)) -> (c0_1 (a475)) -> (~(c3_1 (a475))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c0_1 (a502))) -> (c3_1 (a502)) -> (c2_1 (a502)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> (~(c0_1 (a494))) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10a zenon_H285 zenon_H14d zenon_H14c zenon_H14b zenon_He6 zenon_He7 zenon_He8 zenon_H27a zenon_H5e zenon_Hd3 zenon_H112 zenon_H114 zenon_H113 zenon_H207 zenon_H84 zenon_H83 zenon_H82 zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H48 zenon_H289 zenon_H26f zenon_H270 zenon_H271. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.99 apply (zenon_L445_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.99 apply (zenon_L445_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L87_); trivial. % 0.80/0.99 apply (zenon_L431_); trivial. % 0.80/0.99 apply (zenon_L362_); trivial. % 0.80/0.99 (* end of lemma zenon_L587_ *) % 0.80/0.99 assert (zenon_L588_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_H11e zenon_H285 zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H289 zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H17e zenon_H17f zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_Hfd zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H11f zenon_Hd9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L64_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.99 apply (zenon_L8_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L84_); trivial. % 0.80/0.99 apply (zenon_L584_); trivial. % 0.80/0.99 apply (zenon_L432_); trivial. % 0.80/0.99 apply (zenon_L449_); trivial. % 0.80/0.99 (* end of lemma zenon_L588_ *) % 0.80/0.99 assert (zenon_L589_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hda zenon_H29 zenon_H285 zenon_H289 zenon_H1bc zenon_H3a zenon_H17e zenon_H17f zenon_H14b zenon_H14c zenon_H14d zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H11e zenon_Hf9 zenon_H11f zenon_H7b zenon_Ha6 zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hfd zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hd9 zenon_H9f zenon_Ha3 zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L277_); trivial. % 0.80/0.99 apply (zenon_L588_); trivial. % 0.80/0.99 (* end of lemma zenon_L589_ *) % 0.80/0.99 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_He2 zenon_H29 zenon_H22a zenon_H238 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H7b zenon_Hd9 zenon_H11f zenon_H289 zenon_H27a zenon_H5e zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_H48 zenon_H207 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_Hf9 zenon_H285 zenon_H11e zenon_Ha3 zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L375_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L64_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L562_); trivial. % 0.80/0.99 apply (zenon_L585_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L562_); trivial. % 0.80/0.99 apply (zenon_L587_); trivial. % 0.80/0.99 apply (zenon_L579_); trivial. % 0.80/0.99 (* end of lemma zenon_L590_ *) % 0.80/0.99 assert (zenon_L591_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp12)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H9e zenon_Hd9 zenon_H11f zenon_Hfd zenon_H19e zenon_H19f zenon_H1a0 zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H139 zenon_H15d zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_Ha zenon_H278 zenon_H263. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L364_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L318_); trivial. % 0.80/0.99 apply (zenon_L99_); trivial. % 0.80/0.99 (* end of lemma zenon_L591_ *) % 0.80/0.99 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c1_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_He2 zenon_H29 zenon_H285 zenon_H1a0 zenon_H19f zenon_H19e zenon_H278 zenon_H271 zenon_H270 zenon_H26f zenon_H7b zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H139 zenon_H15d zenon_H11f zenon_Ha3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L563_); trivial. % 0.80/0.99 apply (zenon_L459_); trivial. % 0.80/0.99 (* end of lemma zenon_L592_ *) % 0.80/0.99 assert (zenon_L593_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> (ndr1_0) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(c2_1 (a492))) -> (c1_1 (a492)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp26)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H3d zenon_H33 zenon_H7 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hd3 zenon_He8 zenon_He7 zenon_He6 zenon_H13e zenon_H13d zenon_H1be zenon_Hfb. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.99 apply (zenon_L268_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.99 apply (zenon_L464_); trivial. % 0.80/0.99 exact (zenon_Hfb zenon_Hfc). % 0.80/0.99 (* end of lemma zenon_L593_ *) % 0.80/0.99 assert (zenon_L594_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a470)) -> (c3_1 (a470)) -> (c2_1 (a470)) -> (forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> (~(c2_1 (a492))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28)))))) -> (c1_1 (a492)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd3 zenon_H10d zenon_H101 zenon_H100 zenon_Hb9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H13e zenon_H120 zenon_H13d. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/0.99 apply (zenon_L75_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/0.99 apply (zenon_L57_); trivial. % 0.80/0.99 apply (zenon_L190_); trivial. % 0.80/0.99 (* end of lemma zenon_L594_ *) % 0.80/0.99 assert (zenon_L595_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp2)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp9)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(hskp17)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c2_1 (a492))) -> (c1_1 (a492)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10a zenon_H285 zenon_H48 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H1be zenon_H3a zenon_H7b zenon_He8 zenon_He7 zenon_He6 zenon_H79 zenon_Hd3 zenon_H13e zenon_H13d zenon_H1bc zenon_H207 zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H120 | zenon_intro zenon_H1bf ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Haa | zenon_intro zenon_Hc7 ]. % 0.80/0.99 apply (zenon_L112_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H8b | zenon_intro zenon_Hb9 ]. % 0.80/0.99 apply (zenon_L46_); trivial. % 0.80/0.99 apply (zenon_L594_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L308_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H12f | zenon_intro zenon_Haa ]. % 0.80/0.99 apply (zenon_L121_); trivial. % 0.80/0.99 apply (zenon_L199_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/0.99 apply (zenon_L444_); trivial. % 0.80/0.99 exact (zenon_H48 zenon_H49). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.99 apply (zenon_L121_); trivial. % 0.80/0.99 apply (zenon_L362_); trivial. % 0.80/0.99 (* end of lemma zenon_L595_ *) % 0.80/0.99 assert (zenon_L596_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (c3_1 (a492)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp17)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c1_1 (a467))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H11e zenon_H13c zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_Hfd zenon_Hd3 zenon_H13d zenon_H13e zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_H23b zenon_H23a zenon_H239 zenon_H207 zenon_H48 zenon_H1bc zenon_H3a zenon_H79 zenon_H7b zenon_H17e zenon_H17f zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H1f7 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H11f zenon_Hd9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L64_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L593_); trivial. % 0.80/0.99 apply (zenon_L595_); trivial. % 0.80/0.99 apply (zenon_L194_); trivial. % 0.80/0.99 (* end of lemma zenon_L596_ *) % 0.80/0.99 assert (zenon_L597_ : ((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> (c3_1 (a492)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (c1_1 (a492)) -> (~(c2_1 (a492))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> (~(c1_1 (a488))) -> (~(c2_1 (a488))) -> (~(c3_1 (a488))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H9e zenon_H11e zenon_H13c zenon_Hf9 zenon_He8 zenon_He7 zenon_He6 zenon_Hfd zenon_Hd3 zenon_H13d zenon_H13e zenon_H19e zenon_H19f zenon_H1a0 zenon_H1be zenon_H23b zenon_H23a zenon_H239 zenon_H207 zenon_H48 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hb0 zenon_Hb1 zenon_Hb2 zenon_Hc4 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_H11f zenon_Hd9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L64_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L593_); trivial. % 0.80/0.99 apply (zenon_L488_); trivial. % 0.80/0.99 apply (zenon_L194_); trivial. % 0.80/0.99 (* end of lemma zenon_L597_ *) % 0.80/0.99 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a467))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp2)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H147 zenon_Ha3 zenon_Hd9 zenon_H11f zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H1f7 zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H17f zenon_H17e zenon_H7b zenon_H3a zenon_H1bc zenon_H48 zenon_H207 zenon_H239 zenon_H23a zenon_H23b zenon_H1be zenon_H1a0 zenon_H19f zenon_H19e zenon_Hd3 zenon_Hfd zenon_He6 zenon_He7 zenon_He8 zenon_Hf9 zenon_H11e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L596_); trivial. % 0.80/0.99 apply (zenon_L597_); trivial. % 0.80/0.99 (* end of lemma zenon_L598_ *) % 0.80/0.99 assert (zenon_L599_ : ((ndr1_0)/\((c0_1 (a476))/\((c2_1 (a476))/\(~(c1_1 (a476)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_He2 zenon_H29 zenon_H1b0 zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H1a0 zenon_H19f zenon_H19e zenon_H7b zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H207 zenon_H48 zenon_H17e zenon_H1f7 zenon_H17f zenon_Hc4 zenon_H285 zenon_H11f zenon_Ha3 zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L475_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L375_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L562_); trivial. % 0.80/0.99 apply (zenon_L488_); trivial. % 0.80/0.99 apply (zenon_L459_); trivial. % 0.80/0.99 (* end of lemma zenon_L599_ *) % 0.80/0.99 assert (zenon_L600_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a477)) -> (c1_1 (a477)) -> (~(c3_1 (a477))) -> (c3_1 (a467)) -> (~(c0_1 (a467))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> (~(hskp22)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c3_1 (a488))) -> (~(c2_1 (a488))) -> (~(c1_1 (a488))) -> (c3_1 (a503)) -> (c2_1 (a503)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H11f zenon_H9f zenon_H97 zenon_H96 zenon_H95 zenon_H17f zenon_H17e zenon_H7b zenon_He8 zenon_He7 zenon_He6 zenon_H3a zenon_H1bc zenon_Ha6 zenon_H79 zenon_Ha7 zenon_H239 zenon_H23a zenon_H23b zenon_Hc4 zenon_Hb2 zenon_Hb1 zenon_Hb0 zenon_H3d zenon_H33 zenon_Hfd zenon_Hd4. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L271_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.99 apply (zenon_L42_); trivial. % 0.80/0.99 apply (zenon_L309_); trivial. % 0.80/0.99 (* end of lemma zenon_L600_ *) % 0.80/0.99 assert (zenon_L601_ : ((ndr1_0)/\((c1_1 (a477))/\((c2_1 (a477))/\(~(c3_1 (a477)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a524))/\((c1_1 (a524))/\(~(c2_1 (a524))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c1_1 (a467))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((hskp27)\/((hskp22)\/(hskp17))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> (~(c0_1 (a467))) -> (c3_1 (a467)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hda zenon_H29 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_Hd9 zenon_Hd2 zenon_H285 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hd3 zenon_H1f7 zenon_Hd4 zenon_Hfd zenon_Hc4 zenon_H23b zenon_H23a zenon_H239 zenon_Ha6 zenon_H1bc zenon_H7b zenon_H17e zenon_H17f zenon_H9f zenon_H11f zenon_H24f zenon_H3a zenon_H26f zenon_H270 zenon_H271 zenon_H278 zenon_H263 zenon_Ha3 zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L364_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd5 ]. % 0.80/0.99 apply (zenon_L600_); trivial. % 0.80/0.99 apply (zenon_L494_); trivial. % 0.80/0.99 apply (zenon_L52_); trivial. % 0.80/0.99 apply (zenon_L459_); trivial. % 0.80/0.99 (* end of lemma zenon_L601_ *) % 0.80/0.99 assert (zenon_L602_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> (~(hskp9)) -> (ndr1_0) -> (c2_1 (a503)) -> (c3_1 (a503)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp26)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H3a zenon_H7 zenon_H33 zenon_H3d zenon_H61 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H5e zenon_Ha zenon_H1bc zenon_Hfb. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.99 apply (zenon_L268_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L511_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L44_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 exact (zenon_Hfb zenon_Hfc). % 0.80/0.99 (* end of lemma zenon_L602_ *) % 0.80/0.99 assert (zenon_L603_ : ((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H4a zenon_H11f zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H205 zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H5e zenon_Ha zenon_H61 zenon_Hfd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L602_); trivial. % 0.80/0.99 apply (zenon_L524_); trivial. % 0.80/0.99 (* end of lemma zenon_L603_ *) % 0.80/0.99 assert (zenon_L604_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp3)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H27a zenon_H271 zenon_H270 zenon_H26f zenon_H205 zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H5e zenon_H61 zenon_Hfd zenon_H2c zenon_Ha zenon_H2e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L14_); trivial. % 0.80/0.99 apply (zenon_L603_); trivial. % 0.80/0.99 (* end of lemma zenon_L604_ *) % 0.80/0.99 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H235 zenon_H11f zenon_H1bc zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H3a zenon_H205 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L565_); trivial. % 0.80/0.99 apply (zenon_L524_); trivial. % 0.80/0.99 (* end of lemma zenon_L605_ *) % 0.80/0.99 assert (zenon_L606_ : ((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H265 zenon_H238 zenon_H11f zenon_H1bc zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H3a zenon_H205 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H19 zenon_H1a zenon_H1b zenon_H22a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H7. zenon_intro zenon_H266. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H25c. zenon_intro zenon_H267. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H25a. zenon_intro zenon_H25b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.99 apply (zenon_L366_); trivial. % 0.80/0.99 apply (zenon_L605_); trivial. % 0.80/0.99 (* end of lemma zenon_L606_ *) % 0.80/0.99 assert (zenon_L607_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(hskp9)) -> (~(hskp20)) -> ((hskp9)\/((hskp23)\/(hskp20))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H263 zenon_H238 zenon_H11f zenon_H1bc zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H205 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H19 zenon_H1a zenon_H1b zenon_H22a zenon_H3a zenon_H2a zenon_H24f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H250 | zenon_intro zenon_H265 ]. % 0.80/0.99 apply (zenon_L325_); trivial. % 0.80/0.99 apply (zenon_L606_); trivial. % 0.80/0.99 (* end of lemma zenon_L607_ *) % 0.80/0.99 assert (zenon_L608_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> (~(hskp9)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_Hd9 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_Hd4 zenon_H24f zenon_H3a zenon_H22a zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_H205 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_H1bc zenon_H11f zenon_H238 zenon_H263. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L607_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.99 apply (zenon_L268_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 0.80/0.99 apply (zenon_L220_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha5 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L526_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L44_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 exact (zenon_Ha4 zenon_Ha5). % 0.80/0.99 exact (zenon_Hfb zenon_Hfc). % 0.80/0.99 apply (zenon_L437_); trivial. % 0.80/0.99 apply (zenon_L524_); trivial. % 0.80/0.99 (* end of lemma zenon_L608_ *) % 0.80/0.99 assert (zenon_L609_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((hskp9)\/((hskp23)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a533))/\((~(c1_1 (a533)))/\(~(c3_1 (a533))))))) -> ((hskp20)\/((hskp6)\/(hskp12))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c1_1 X73)\/((~(c0_1 X73))\/(~(c3_1 X73))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H29 zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_Hd4 zenon_H24f zenon_H22a zenon_H238 zenon_H263 zenon_H2e zenon_H2c zenon_Hfd zenon_H61 zenon_H5e zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H3a zenon_H1bc zenon_H23b zenon_H23a zenon_H239 zenon_H205 zenon_H26f zenon_H270 zenon_H271 zenon_H27a zenon_H11f zenon_Hd9. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L604_); trivial. % 0.80/0.99 apply (zenon_L608_); trivial. % 0.80/0.99 (* end of lemma zenon_L609_ *) % 0.80/0.99 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a461)) -> (c2_1 (a461)) -> (c0_1 (a461)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10a zenon_Hd4 zenon_H19 zenon_H1a zenon_H1b zenon_H27a zenon_H5e zenon_H22e zenon_H22d zenon_H22c zenon_H271 zenon_H270 zenon_H26f zenon_H21a zenon_H83 zenon_H84 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H20c zenon_H20b zenon_H20a zenon_H289. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/0.99 apply (zenon_L8_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/0.99 apply (zenon_L367_); trivial. % 0.80/0.99 apply (zenon_L536_); trivial. % 0.80/0.99 apply (zenon_L437_); trivial. % 0.80/0.99 (* end of lemma zenon_L610_ *) % 0.80/0.99 assert (zenon_L611_ : ((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> (~(c0_1 (a480))) -> (~(c1_1 (a480))) -> (~(c2_1 (a480))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c1_1 (a494))) -> (~(c3_1 (a494))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H235 zenon_H11f zenon_Hd4 zenon_H19 zenon_H1a zenon_H1b zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H21a zenon_H83 zenon_H84 zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H20c zenon_H20b zenon_H20a zenon_H289 zenon_H239 zenon_H23a zenon_H23b zenon_Hfd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H7. zenon_intro zenon_H236. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H22c. zenon_intro zenon_H237. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H237). zenon_intro zenon_H22d. zenon_intro zenon_H22e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L565_); trivial. % 0.80/0.99 apply (zenon_L610_); trivial. % 0.80/0.99 (* end of lemma zenon_L611_ *) % 0.80/0.99 assert (zenon_L612_ : ((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> (~(c3_1 (a475))) -> (c0_1 (a475)) -> (c1_1 (a475)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c0_1 X4))\/(~(c2_1 X4)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c2_1 (a463)) -> (~(c1_1 (a463))) -> (~(c0_1 (a463))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c1_1 X1)\/((c3_1 X1)\/(~(c0_1 X1))))))\/(hskp25))) -> (~(c1_1 (a476))) -> (c0_1 (a476)) -> (c2_1 (a476)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a461))/\((c2_1 (a461))/\(c3_1 (a461)))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H24 zenon_Ha3 zenon_H11e zenon_H285 zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_Hf9 zenon_H21a zenon_H11f zenon_H14b zenon_H14c zenon_H14d zenon_Hd3 zenon_H289 zenon_Hfd zenon_H23b zenon_H23a zenon_H239 zenon_Hd9 zenon_H22a zenon_H66 zenon_H67 zenon_H68 zenon_H7b zenon_H238. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L379_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L519_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L575_); trivial. % 0.80/0.99 apply (zenon_L537_); trivial. % 0.80/0.99 apply (zenon_L611_); trivial. % 0.80/0.99 apply (zenon_L539_); trivial. % 0.80/0.99 (* end of lemma zenon_L612_ *) % 0.80/0.99 assert (zenon_L613_ : ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a471))) -> (~(c3_1 (a471))) -> (c2_1 (a471)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hdb zenon_Hd4 zenon_H27a zenon_H5e zenon_H271 zenon_H270 zenon_H26f zenon_H20a zenon_H20b zenon_H20c zenon_H21a zenon_H7 zenon_He6 zenon_He7 zenon_He8 zenon_Ha zenon_H7f. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_L515_); trivial. % 0.80/0.99 (* end of lemma zenon_L613_ *) % 0.80/0.99 assert (zenon_L614_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a492))/\((c3_1 (a492))/\(~(c2_1 (a492))))))) -> ((hskp8)\/((hskp15)\/(hskp16))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp19)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a502))/\((c3_1 (a502))/\(~(c0_1 (a502))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> (c2_1 (a471)) -> (~(c3_1 (a471))) -> (~(c1_1 (a471))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H29 zenon_H164 zenon_Hf5 zenon_Hef zenon_Hd9 zenon_H12d zenon_Hf9 zenon_H285 zenon_H11e zenon_H163 zenon_H7f zenon_He8 zenon_He7 zenon_He6 zenon_H7 zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_H26f zenon_H270 zenon_H271 zenon_H5e zenon_H27a zenon_Hd4 zenon_Hdb. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L613_); trivial. % 0.80/0.99 apply (zenon_L418_); trivial. % 0.80/0.99 (* end of lemma zenon_L614_ *) % 0.80/0.99 assert (zenon_L615_ : ((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (c3_1 (a474)) -> (~(c2_1 (a474))) -> (~(c1_1 (a474))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.99 do 0 intro. intros zenon_H10a zenon_H285 zenon_H3a zenon_H17e zenon_H1f7 zenon_H17f zenon_H205 zenon_H7d zenon_H1b0 zenon_H1e1 zenon_H1e0 zenon_H1df zenon_H1bc zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_H7. zenon_intro zenon_H10b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_H100. zenon_intro zenon_H101. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H201 | zenon_intro zenon_H206 ]. % 0.80/0.99 apply (zenon_L208_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L166_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L199_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.99 apply (zenon_L121_); trivial. % 0.80/0.99 apply (zenon_L362_); trivial. % 0.80/0.99 (* end of lemma zenon_L615_ *) % 0.80/0.99 assert (zenon_L616_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(hskp14)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> (~(hskp12)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hd9 zenon_H11f zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H205 zenon_H19e zenon_H19f zenon_H1a0 zenon_H7d zenon_H1b0 zenon_H17e zenon_H1f7 zenon_H17f zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_Hf3 zenon_H79 zenon_H1b2 zenon_Hfd zenon_H2c zenon_Ha zenon_H2e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L14_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_L339_); trivial. % 0.80/0.99 apply (zenon_L615_); trivial. % 0.80/0.99 (* end of lemma zenon_L616_ *) % 0.80/0.99 assert (zenon_L617_ : ((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (~(hskp26)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> (~(c3_1 (a494))) -> (~(c1_1 (a494))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(hskp9)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (c3_1 (a466)) -> (c1_1 (a466)) -> (~(c0_1 (a466))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> False). % 0.80/0.99 do 0 intro. intros zenon_Hc3 zenon_H285 zenon_Hfb zenon_H1bc zenon_Hd3 zenon_H84 zenon_H83 zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_H3a zenon_H239 zenon_H23a zenon_H23b zenon_Hfd zenon_H1a0 zenon_H19f zenon_H19e zenon_H26f zenon_H270 zenon_H271. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/0.99 apply (zenon_L268_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L255_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L199_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 exact (zenon_Hfb zenon_Hfc). % 0.80/0.99 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/0.99 apply (zenon_L121_); trivial. % 0.80/0.99 apply (zenon_L362_); trivial. % 0.80/0.99 (* end of lemma zenon_L617_ *) % 0.80/0.99 assert (zenon_L618_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a493))/\((~(c0_1 (a493)))/\(~(c2_1 (a493))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c2_1 X28)\/(~(c1_1 X28))))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a503))/\((c3_1 (a503))/\(~(c1_1 (a503))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a470))/\((c2_1 (a470))/\(c3_1 (a470)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> (c0_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/(hskp9))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp14))) -> (~(c0_1 (a467))) -> (~(c1_1 (a467))) -> (c3_1 (a467)) -> (~(c0_1 (a463))) -> (~(c1_1 (a463))) -> (c2_1 (a463)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(~(c3_1 X33))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a474))) -> (~(c2_1 (a474))) -> (c3_1 (a474)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c2_1 X41)\/(~(c0_1 X41))))))\/((hskp16)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c2_1 V))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c2_1 X22))\/(~(c3_1 X22))))))\/(hskp26))) -> (~(hskp6)) -> ((hskp20)\/((hskp6)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(forall X58 : zenon_U, ((ndr1_0)->((c2_1 X58)\/((~(c0_1 X58))\/(~(c1_1 X58)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (~(c0_1 (a465))) -> (~(c2_1 (a465))) -> (~(c3_1 (a465))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a494)))/\((~(c1_1 (a494)))/\(~(c3_1 (a494))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H29 zenon_H163 zenon_H1be zenon_Hd9 zenon_H11f zenon_H285 zenon_H271 zenon_H270 zenon_H26f zenon_H205 zenon_H19e zenon_H19f zenon_H1a0 zenon_H1b0 zenon_H17e zenon_H1f7 zenon_H17f zenon_H239 zenon_H23a zenon_H23b zenon_H1bc zenon_H3a zenon_H1df zenon_H1e0 zenon_H1e1 zenon_H1b2 zenon_Hfd zenon_H2c zenon_H2e zenon_Hd4 zenon_Hd3 zenon_Hc4 zenon_H20a zenon_H20b zenon_H20c zenon_H7f zenon_H21a zenon_Ha3 zenon_Hdb. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L616_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.99 apply (zenon_L248_); trivial. % 0.80/0.99 apply (zenon_L617_); trivial. % 0.80/0.99 apply (zenon_L615_); trivial. % 0.80/0.99 apply (zenon_L484_); trivial. % 0.80/0.99 apply (zenon_L555_); trivial. % 0.80/0.99 apply (zenon_L459_); trivial. % 0.80/0.99 (* end of lemma zenon_L618_ *) % 0.80/0.99 assert (zenon_L619_ : ((ndr1_0)/\((c2_1 (a471))/\((~(c1_1 (a471)))/\(~(c3_1 (a471)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a480)))/\((~(c1_1 (a480)))/\(~(c2_1 (a480))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp12)\/(hskp14))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp27))) -> (~(c3_1 (a465))) -> (~(c2_1 (a465))) -> (~(c0_1 (a465))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((~(c2_1 X30))\/(~(c3_1 X30))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(forall X55 : zenon_U, ((ndr1_0)->((~(c0_1 X55))\/((~(c1_1 X55))\/(~(c3_1 X55)))))))) -> (c3_1 (a467)) -> (~(c1_1 (a467))) -> (~(c0_1 (a467))) -> (~(c0_1 (a466))) -> (c1_1 (a466)) -> (c3_1 (a466)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c0_1 (a460)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((~(c1_1 X))\/(~(c3_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a473))/\((c1_1 (a473))/\(c3_1 (a473)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c1_1 (a488)))/\((~(c2_1 (a488)))/\(~(c3_1 (a488))))))) -> False). % 0.80/0.99 do 0 intro. intros zenon_H19b zenon_H29 zenon_H7f zenon_H21a zenon_H20c zenon_H20b zenon_H20a zenon_Hc4 zenon_H17f zenon_H1f7 zenon_H17e zenon_H19e zenon_H19f zenon_H1a0 zenon_H26f zenon_H270 zenon_H271 zenon_H285 zenon_Hd4 zenon_Hdb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_L558_); trivial. % 0.80/0.99 apply (zenon_L459_); trivial. % 0.80/0.99 (* end of lemma zenon_L619_ *) % 0.80/0.99 apply NNPP. intro zenon_G. % 0.80/0.99 apply zenon_G. zenon_intro zenon_H2c2. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c6. zenon_intro zenon_H2c5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c8. zenon_intro zenon_H2c7. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2ca. zenon_intro zenon_H2c9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cc. zenon_intro zenon_H2cb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H243. zenon_intro zenon_H2cd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H244. zenon_intro zenon_H2ce. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H28d. zenon_intro zenon_H2cf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H162. zenon_intro zenon_H2d0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_He5. zenon_intro zenon_H2d1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_He1. zenon_intro zenon_H2d2. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H16e. zenon_intro zenon_H2d3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H29. zenon_intro zenon_H2d4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_Hdb. zenon_intro zenon_H2d7. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H164. zenon_intro zenon_H2d8. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H163. zenon_intro zenon_H2d9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Ha3. zenon_intro zenon_H2da. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H11e. zenon_intro zenon_H2dd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Hd9. zenon_intro zenon_H2de. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H65. zenon_intro zenon_H2df. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_Hd2. zenon_intro zenon_H2e0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H263. zenon_intro zenon_H2e1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H238. zenon_intro zenon_H2e4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H11f. zenon_intro zenon_H2e5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hd4. zenon_intro zenon_H2e6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H19a. zenon_intro zenon_H2e7. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ff. zenon_intro zenon_H2e8. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H285. zenon_intro zenon_H2e9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H22a. zenon_intro zenon_H2ea. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H289. zenon_intro zenon_H2eb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H25. zenon_intro zenon_H2ec. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H207. zenon_intro zenon_H2ef. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H137. zenon_intro zenon_H2f0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H9f. zenon_intro zenon_H2f1. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H13b. zenon_intro zenon_H2f2. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H15d. zenon_intro zenon_H2f5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_Hfd. zenon_intro zenon_H2f6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H4b. zenon_intro zenon_H2f7. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H21a. zenon_intro zenon_H2f8. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2a6. zenon_intro zenon_H2f9. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H1be. zenon_intro zenon_H2fa. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H12d. zenon_intro zenon_H2fb. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H1bc. zenon_intro zenon_H2fc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H197. zenon_intro zenon_H2fd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hc. zenon_intro zenon_H300. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H205. zenon_intro zenon_H301. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H264. zenon_intro zenon_H302. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2b4. zenon_intro zenon_H303. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H305. zenon_intro zenon_H304. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1c4. zenon_intro zenon_H306. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H1c2. zenon_intro zenon_H307. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1b0. zenon_intro zenon_H308. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_Hc4. zenon_intro zenon_H309. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_Hd3. zenon_intro zenon_H30a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H194. zenon_intro zenon_H30b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H17b. zenon_intro zenon_H30c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H1b2. zenon_intro zenon_H30f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H278. zenon_intro zenon_H312. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H314. zenon_intro zenon_H313. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H316. zenon_intro zenon_H315. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Hf9. zenon_intro zenon_H317. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H7f. zenon_intro zenon_H318. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H3c. zenon_intro zenon_H319. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H7b. zenon_intro zenon_H31a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H61. zenon_intro zenon_H31b. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H28b. zenon_intro zenon_H31c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H27a. zenon_intro zenon_H31d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H1d5. zenon_intro zenon_H31e. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H28e. zenon_intro zenon_H31f. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H296. zenon_intro zenon_H320. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H15b. zenon_intro zenon_H321. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H323. zenon_intro zenon_H322. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H159. zenon_intro zenon_H324. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_Ha6. zenon_intro zenon_H325. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_Hf5. zenon_intro zenon_H326. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H269. zenon_intro zenon_H327. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H24f. zenon_intro zenon_H328. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H53. zenon_intro zenon_H329. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H5. zenon_intro zenon_H32a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32b. zenon_intro zenon_H2e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H8 | zenon_intro zenon_H32c ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H22 | zenon_intro zenon_H32d ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H48 | zenon_intro zenon_H32e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L56_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_L106_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L56_); trivial. % 0.80/0.99 apply (zenon_L120_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L140_); trivial. % 0.80/0.99 apply (zenon_L149_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L158_); trivial. % 0.80/0.99 apply (zenon_L165_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L179_); trivial. % 0.80/0.99 apply (zenon_L149_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L179_); trivial. % 0.80/0.99 apply (zenon_L165_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L180_); trivial. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L189_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_L62_); trivial. % 0.80/0.99 apply (zenon_L187_); trivial. % 0.80/0.99 apply (zenon_L196_); trivial. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_L105_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L189_); trivial. % 0.80/0.99 apply (zenon_L197_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.99 apply (zenon_L142_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L125_); trivial. % 0.80/0.99 apply (zenon_L203_); trivial. % 0.80/0.99 apply (zenon_L204_); trivial. % 0.80/0.99 apply (zenon_L116_); trivial. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_L139_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_L211_); trivial. % 0.80/0.99 apply (zenon_L214_); trivial. % 0.80/0.99 apply (zenon_L136_); trivial. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_L157_); trivial. % 0.80/0.99 apply (zenon_L216_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.99 apply (zenon_L142_); trivial. % 0.80/0.99 apply (zenon_L217_); trivial. % 0.80/0.99 apply (zenon_L116_); trivial. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_L178_); trivial. % 0.80/0.99 apply (zenon_L219_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L169_); trivial. % 0.80/0.99 apply (zenon_L215_); trivial. % 0.80/0.99 apply (zenon_L214_); trivial. % 0.80/0.99 apply (zenon_L116_); trivial. % 0.80/0.99 apply (zenon_L10_); trivial. % 0.80/0.99 apply (zenon_L178_); trivial. % 0.80/0.99 apply (zenon_L216_); trivial. % 0.80/0.99 apply (zenon_L120_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H7. zenon_intro zenon_H332. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H20a. zenon_intro zenon_H333. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L228_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L236_); trivial. % 0.80/0.99 apply (zenon_L103_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L236_); trivial. % 0.80/0.99 apply (zenon_L237_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L228_); trivial. % 0.80/0.99 apply (zenon_L247_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L140_); trivial. % 0.80/0.99 apply (zenon_L252_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L158_); trivial. % 0.80/0.99 apply (zenon_L252_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L179_); trivial. % 0.80/0.99 apply (zenon_L252_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L253_); trivial. % 0.80/0.99 apply (zenon_L103_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L253_); trivial. % 0.80/0.99 apply (zenon_L237_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L108_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L261_); trivial. % 0.80/0.99 apply (zenon_L139_); trivial. % 0.80/0.99 apply (zenon_L267_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L261_); trivial. % 0.80/0.99 apply (zenon_L157_); trivial. % 0.80/0.99 apply (zenon_L267_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L261_); trivial. % 0.80/0.99 apply (zenon_L178_); trivial. % 0.80/0.99 apply (zenon_L267_); trivial. % 0.80/0.99 apply (zenon_L247_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H7. zenon_intro zenon_H334. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H23b. zenon_intro zenon_H335. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H239. zenon_intro zenon_H23a. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H48 | zenon_intro zenon_H32e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L269_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_L62_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L273_); trivial. % 0.80/0.99 apply (zenon_L89_); trivial. % 0.80/0.99 apply (zenon_L274_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L273_); trivial. % 0.80/0.99 apply (zenon_L100_); trivial. % 0.80/0.99 apply (zenon_L274_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L278_); trivial. % 0.80/0.99 apply (zenon_L281_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L280_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L269_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L58_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L273_); trivial. % 0.80/0.99 apply (zenon_L147_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L278_); trivial. % 0.80/0.99 apply (zenon_L281_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H7. zenon_intro zenon_H332. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H20a. zenon_intro zenon_H333. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L280_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L282_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L223_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L286_); trivial. % 0.80/0.99 apply (zenon_L288_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L299_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_L280_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L282_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/0.99 apply (zenon_L14_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H4f | zenon_intro zenon_H60 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hc3 ]. % 0.80/0.99 apply (zenon_L222_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H7. zenon_intro zenon_Hc5. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hba. zenon_intro zenon_Hc6. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hbb. zenon_intro zenon_Hbc. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H17d | zenon_intro zenon_H1bd ]. % 0.80/0.99 apply (zenon_L300_); trivial. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Haa | zenon_intro zenon_H3b ]. % 0.80/0.99 apply (zenon_L45_); trivial. % 0.80/0.99 exact (zenon_H3a zenon_H3b). % 0.80/0.99 apply (zenon_L25_); trivial. % 0.80/0.99 apply (zenon_L39_); trivial. % 0.80/0.99 apply (zenon_L301_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L304_); trivial. % 0.80/0.99 apply (zenon_L317_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/0.99 apply (zenon_L3_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L324_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/0.99 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L330_); trivial. % 0.80/0.99 apply (zenon_L288_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/0.99 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/0.99 apply (zenon_L3_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L332_); trivial. % 0.80/0.99 apply (zenon_L333_); trivial. % 0.80/0.99 apply (zenon_L335_); trivial. % 0.80/0.99 apply (zenon_L299_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L336_); trivial. % 0.80/0.99 apply (zenon_L337_); trivial. % 0.80/0.99 apply (zenon_L335_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_L336_); trivial. % 0.80/0.99 apply (zenon_L338_); trivial. % 0.80/0.99 apply (zenon_L335_); trivial. % 0.80/0.99 apply (zenon_L347_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_L180_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_L351_); trivial. % 0.80/0.99 apply (zenon_L353_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_L332_); trivial. % 0.80/0.99 apply (zenon_L301_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_L260_); trivial. % 0.80/0.99 apply (zenon_L141_); trivial. % 0.80/0.99 apply (zenon_L136_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L337_); trivial. % 0.80/0.99 apply (zenon_L355_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_L211_); trivial. % 0.80/0.99 apply (zenon_L344_); trivial. % 0.80/0.99 apply (zenon_L116_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L338_); trivial. % 0.80/0.99 apply (zenon_L355_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/0.99 apply (zenon_L342_); trivial. % 0.80/0.99 apply (zenon_L259_); trivial. % 0.80/0.99 apply (zenon_L344_); trivial. % 0.80/0.99 apply (zenon_L264_); trivial. % 0.80/0.99 apply (zenon_L275_); trivial. % 0.80/0.99 apply (zenon_L361_); trivial. % 0.80/0.99 apply (zenon_L355_); trivial. % 0.80/0.99 apply (zenon_L317_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H7. zenon_intro zenon_H336. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H271. zenon_intro zenon_H337. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H26f. zenon_intro zenon_H270. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H22 | zenon_intro zenon_H32d ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H48 | zenon_intro zenon_H32e ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_L414_); trivial. % 0.80/0.99 apply (zenon_L440_); trivial. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/0.99 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L374_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L378_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/1.00 apply (zenon_L62_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H7. zenon_intro zenon_H167. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H123. zenon_intro zenon_H168. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H121. zenon_intro zenon_H122. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L379_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H228 | zenon_intro zenon_H235 ]. % 0.80/1.00 apply (zenon_L443_); trivial. % 0.80/1.00 apply (zenon_L368_); trivial. % 0.80/1.00 apply (zenon_L372_); trivial. % 0.80/1.00 apply (zenon_L413_); trivial. % 0.80/1.00 apply (zenon_L440_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_L414_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L419_); trivial. % 0.80/1.00 apply (zenon_L447_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L427_); trivial. % 0.80/1.00 apply (zenon_L450_); trivial. % 0.80/1.00 apply (zenon_L451_); trivial. % 0.80/1.00 apply (zenon_L412_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L454_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L391_); trivial. % 0.80/1.00 apply (zenon_L455_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L456_); trivial. % 0.80/1.00 apply (zenon_L457_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L456_); trivial. % 0.80/1.00 apply (zenon_L425_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L458_); trivial. % 0.80/1.00 apply (zenon_L451_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L458_); trivial. % 0.80/1.00 apply (zenon_L411_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_L142_); trivial. % 0.80/1.00 apply (zenon_L461_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 apply (zenon_L100_); trivial. % 0.80/1.00 apply (zenon_L461_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L462_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/1.00 apply (zenon_L3_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_L416_); trivial. % 0.80/1.00 apply (zenon_L468_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L469_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/1.00 apply (zenon_L3_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L82_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/1.00 apply (zenon_L473_); trivial. % 0.80/1.00 apply (zenon_L467_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L474_); trivial. % 0.80/1.00 apply (zenon_L469_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_L477_); trivial. % 0.80/1.00 apply (zenon_L483_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1 | zenon_intro zenon_H247 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/1.00 apply (zenon_L3_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_L485_); trivial. % 0.80/1.00 apply (zenon_L486_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H3 | zenon_intro zenon_H16b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H81 | zenon_intro zenon_H338 ]. % 0.80/1.00 apply (zenon_L35_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H338); [ zenon_intro zenon_H18a | zenon_intro zenon_H2 ]. % 0.80/1.00 apply (zenon_L487_); trivial. % 0.80/1.00 exact (zenon_H1 zenon_H2). % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H7. zenon_intro zenon_H16c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Hd. zenon_intro zenon_H16d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L475_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H18 | zenon_intro zenon_H286 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H81 | zenon_intro zenon_H208 ]. % 0.80/1.00 apply (zenon_L35_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H49 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Haa | zenon_intro zenon_Hd8 ]. % 0.80/1.00 apply (zenon_L199_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H75 | zenon_intro zenon_Hc8 ]. % 0.80/1.00 apply (zenon_L326_); trivial. % 0.80/1.00 apply (zenon_L97_); trivial. % 0.80/1.00 exact (zenon_H48 zenon_H49). % 0.80/1.00 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H12f | zenon_intro zenon_H26e ]. % 0.80/1.00 apply (zenon_L121_); trivial. % 0.80/1.00 apply (zenon_L362_); trivial. % 0.80/1.00 apply (zenon_L488_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L462_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_L492_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_L485_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H7. zenon_intro zenon_H148. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H13d. zenon_intro zenon_H149. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H13c. zenon_intro zenon_H13e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L495_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/1.00 apply (zenon_L64_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/1.00 apply (zenon_L232_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/1.00 apply (zenon_L464_); trivial. % 0.80/1.00 exact (zenon_Hfb zenon_Hfc). % 0.80/1.00 apply (zenon_L488_); trivial. % 0.80/1.00 apply (zenon_L194_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L496_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/1.00 apply (zenon_L421_); trivial. % 0.80/1.00 apply (zenon_L488_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L462_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L500_); trivial. % 0.80/1.00 apply (zenon_L496_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a3 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/1.00 apply (zenon_L502_); trivial. % 0.80/1.00 apply (zenon_L504_); trivial. % 0.80/1.00 apply (zenon_L506_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L462_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H7. zenon_intro zenon_H248. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H171. zenon_intro zenon_H249. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H172. zenon_intro zenon_H170. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L460_); trivial. % 0.80/1.00 apply (zenon_L507_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L478_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L508_); trivial. % 0.80/1.00 apply (zenon_L481_); trivial. % 0.80/1.00 apply (zenon_L507_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H7. zenon_intro zenon_H332. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H20a. zenon_intro zenon_H333. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L516_); trivial. % 0.80/1.00 apply (zenon_L373_); trivial. % 0.80/1.00 apply (zenon_L522_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L516_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2bf ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H297 | zenon_intro zenon_H2a3 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/1.00 apply (zenon_L525_); trivial. % 0.80/1.00 apply (zenon_L528_); trivial. % 0.80/1.00 apply (zenon_L534_); trivial. % 0.80/1.00 apply (zenon_L540_); trivial. % 0.80/1.00 apply (zenon_L545_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L513_); trivial. % 0.80/1.00 apply (zenon_L39_); trivial. % 0.80/1.00 apply (zenon_L515_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L546_); trivial. % 0.80/1.00 apply (zenon_L410_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L518_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L379_); trivial. % 0.80/1.00 apply (zenon_L540_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_L551_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H166 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L183_); trivial. % 0.80/1.00 apply (zenon_L235_); trivial. % 0.80/1.00 apply (zenon_L552_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L481_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L475_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L375_); trivial. % 0.80/1.00 apply (zenon_L235_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L462_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L556_); trivial. % 0.80/1.00 apply (zenon_L559_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H7. zenon_intro zenon_H334. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H23b. zenon_intro zenon_H335. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H239. zenon_intro zenon_H23a. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H48 | zenon_intro zenon_H32e ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_L269_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L561_); trivial. % 0.80/1.00 apply (zenon_L564_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L273_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/1.00 apply (zenon_L364_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H30 | zenon_intro zenon_Hfe ]. % 0.80/1.00 apply (zenon_L268_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H6f | zenon_intro zenon_Hfc ]. % 0.80/1.00 apply (zenon_L503_); trivial. % 0.80/1.00 exact (zenon_Hfb zenon_Hfc). % 0.80/1.00 apply (zenon_L99_); trivial. % 0.80/1.00 apply (zenon_L571_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_H7. zenon_intro zenon_Hdc. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdc). zenon_intro zenon_H96. zenon_intro zenon_Hdd. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdd). zenon_intro zenon_H97. zenon_intro zenon_H95. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L277_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H7. zenon_intro zenon_H26. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H19. zenon_intro zenon_H27. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L572_); trivial. % 0.80/1.00 apply (zenon_L574_); trivial. % 0.80/1.00 apply (zenon_L580_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_L269_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L561_); trivial. % 0.80/1.00 apply (zenon_L583_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L273_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H7. zenon_intro zenon_Ha0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H82. zenon_intro zenon_Ha1. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H83. zenon_intro zenon_H84. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H11b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H2a | zenon_intro zenon_H4a ]. % 0.80/1.00 apply (zenon_L64_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H7. zenon_intro zenon_H4c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H33. zenon_intro zenon_H4d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H3d. zenon_intro zenon_H32. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H18 | zenon_intro zenon_H28a ]. % 0.80/1.00 apply (zenon_L498_); trivial. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12a | zenon_intro zenon_H14a ]. % 0.80/1.00 apply (zenon_L84_); trivial. % 0.80/1.00 apply (zenon_L584_); trivial. % 0.80/1.00 apply (zenon_L585_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H7. zenon_intro zenon_H11c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H113. zenon_intro zenon_H11d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H114. zenon_intro zenon_H112. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_Hfb | zenon_intro zenon_H10a ]. % 0.80/1.00 apply (zenon_L586_); trivial. % 0.80/1.00 apply (zenon_L587_); trivial. % 0.80/1.00 apply (zenon_L588_); trivial. % 0.80/1.00 apply (zenon_L589_); trivial. % 0.80/1.00 apply (zenon_L590_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_L269_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H79 | zenon_intro zenon_H9e ]. % 0.80/1.00 apply (zenon_L273_); trivial. % 0.80/1.00 apply (zenon_L591_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L592_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_L269_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L58_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H7. zenon_intro zenon_Hdf. % 0.80/1.00 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hb0. zenon_intro zenon_He0. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H147 ]. % 0.80/1.00 apply (zenon_L485_); trivial. % 0.80/1.00 apply (zenon_L598_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_L599_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H51 | zenon_intro zenon_Hda ]. % 0.80/1.00 apply (zenon_L500_); trivial. % 0.80/1.00 apply (zenon_L601_); trivial. % 0.80/1.00 apply (zenon_L599_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H7. zenon_intro zenon_H332. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H20a. zenon_intro zenon_H333. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H20b. zenon_intro zenon_H20c. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H5e | zenon_intro zenon_H32f ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L609_); trivial. % 0.80/1.00 apply (zenon_L522_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L609_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L518_); trivial. % 0.80/1.00 apply (zenon_L612_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hef | zenon_intro zenon_H165 ]. % 0.80/1.00 apply (zenon_L614_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H7. zenon_intro zenon_H169. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_H14c. zenon_intro zenon_H16a. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_H14d. zenon_intro zenon_H14b. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L613_); trivial. % 0.80/1.00 apply (zenon_L608_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L613_); trivial. % 0.80/1.00 apply (zenon_L612_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H7. zenon_intro zenon_H330. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H19f. zenon_intro zenon_H331. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H139 | zenon_intro zenon_H242 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L346_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H7d | zenon_intro zenon_Hde ]. % 0.80/1.00 apply (zenon_L475_); trivial. % 0.80/1.00 apply (zenon_L334_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_He8. zenon_intro zenon_H19d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_He6. zenon_intro zenon_He7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L350_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H7. zenon_intro zenon_He3. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_H67. zenon_intro zenon_He4. % 0.80/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_Ha | zenon_intro zenon_H24 ]. % 0.80/1.00 apply (zenon_L297_); trivial. % 0.80/1.00 apply (zenon_L459_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H7. zenon_intro zenon_H245. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H17f. zenon_intro zenon_H246. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H17e. zenon_intro zenon_H1f7. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H2c | zenon_intro zenon_H19b ]. % 0.80/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H26b ]. % 0.80/1.00 apply (zenon_L509_); trivial. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H7. zenon_intro zenon_H26c. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H1e1. zenon_intro zenon_H26d. % 0.80/1.00 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1df. zenon_intro zenon_H1e0. % 0.80/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H3a | zenon_intro zenon_He2 ]. % 0.80/1.00 apply (zenon_L618_); trivial. % 0.80/1.00 apply (zenon_L559_); trivial. % 0.80/1.00 apply (zenon_L619_); trivial. % 0.80/1.00 Qed. % 0.80/1.00 % SZS output end Proof % 0.80/1.00 (* END-PROOF *) % 0.80/1.00 nodes searched: 29023 % 0.80/1.00 max branch formulas: 531 % 0.80/1.00 proof nodes created: 4833 % 0.80/1.00 formulas created: 30832 % 0.80/1.00 %------------------------------------------------------------------------------