%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN458+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:52:53 EDT 2022 % Result : Theorem 0.57s 0.73s % Output : Proof 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN458+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n006.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 13:45:50 EDT 2022 % 0.13/0.33 % CPUTime : % 0.57/0.73 (* PROOF-FOUND *) % 0.57/0.73 % SZS status Theorem % 0.57/0.73 (* BEGIN-PROOF *) % 0.57/0.73 % SZS output start Proof % 0.57/0.73 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a1080))/\((~(c0_1 (a1080)))/\(~(c2_1 (a1080)))))))/\(((~(hskp1))\/((ndr1_0)/\((c3_1 (a1081))/\((~(c0_1 (a1081)))/\(~(c1_1 (a1081)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a1082)))/\((~(c2_1 (a1082)))/\(~(c3_1 (a1082)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a1083))/\((~(c2_1 (a1083)))/\(~(c3_1 (a1083)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a1084))/\((~(c1_1 (a1084)))/\(~(c3_1 (a1084)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a1085))/\((~(c0_1 (a1085)))/\(~(c1_1 (a1085)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086)))))))/\(((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a1094))/\((c1_1 (a1094))/\(~(c3_1 (a1094)))))))/\(((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a1100))/\((~(c0_1 (a1100)))/\(~(c3_1 (a1100)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114)))))))/\(((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a1121))/\((c3_1 (a1121))/\(~(c0_1 (a1121)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a1124))/\((c2_1 (a1124))/\(~(c0_1 (a1124)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c1_1 (a1125)))/\((~(c2_1 (a1125)))/\(~(c3_1 (a1125)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/(hskp3)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp5)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((hskp28)\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp12)\/(hskp13)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp0)\/(hskp16)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((hskp4)\/(hskp16)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(hskp9)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/((hskp15)\/(hskp17)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp9)\/(hskp2)))/\(((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19))/\(((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/((hskp20)\/(hskp3)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(c3_1 X47)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp9)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(c3_1 X47)))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c1_1 X50))\/((~(c2_1 X50))\/(~(c3_1 X50))))))\/(hskp20)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(c3_1 X47)))))\/((hskp6)\/(hskp8)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c0_1 X52))))))\/((hskp21)\/(hskp22)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((hskp24)\/(hskp25)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c3_1 X58)\/(~(c0_1 X58))))))\/((hskp14)\/(hskp13)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp17)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp25)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/((hskp0)\/(hskp2)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp14)\/(hskp11)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/((hskp9)\/(hskp11)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/((hskp22)\/(hskp5)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp30)\/(hskp9)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp4)\/(hskp1)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26)))/\(((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5)))/\(((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31)))/\(((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp5)\/(hskp13)))/\(((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/((hskp19)\/(hskp2)))/\(((forall X50 : zenon_U, ((ndr1_0)->((~(c1_1 X50))\/((~(c2_1 X50))\/(~(c3_1 X50))))))\/((hskp31)\/(hskp3)))/\(((forall X50 : zenon_U, ((ndr1_0)->((~(c1_1 X50))\/((~(c2_1 X50))\/(~(c3_1 X50))))))\/((hskp20)\/(hskp24)))/\(((hskp31)\/((hskp12)\/(hskp13)))/\(((hskp28)\/((hskp6)\/(hskp18)))/\(((hskp20)\/((hskp27)\/(hskp13)))/\((hskp0)\/(hskp5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.57/0.73 Proof. % 0.57/0.73 assert (zenon_L1_ : (~(hskp0)) -> (hskp0) -> False). % 0.57/0.73 do 0 intro. intros zenon_H1 zenon_H2. % 0.57/0.73 exact (zenon_H1 zenon_H2). % 0.57/0.73 (* end of lemma zenon_L1_ *) % 0.57/0.73 assert (zenon_L2_ : (~(hskp5)) -> (hskp5) -> False). % 0.57/0.73 do 0 intro. intros zenon_H3 zenon_H4. % 0.57/0.73 exact (zenon_H3 zenon_H4). % 0.57/0.73 (* end of lemma zenon_L2_ *) % 0.57/0.73 assert (zenon_L3_ : ((hskp0)\/(hskp5)) -> (~(hskp5)) -> (~(hskp0)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H5 zenon_H3 zenon_H1. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.57/0.73 exact (zenon_H1 zenon_H2). % 0.57/0.73 exact (zenon_H3 zenon_H4). % 0.57/0.73 (* end of lemma zenon_L3_ *) % 0.57/0.73 assert (zenon_L4_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.57/0.73 do 0 intro. intros zenon_H6 zenon_H7. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 (* end of lemma zenon_L4_ *) % 0.57/0.73 assert (zenon_L5_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H8 zenon_H7 zenon_H9 zenon_Ha zenon_Hb. % 0.57/0.73 generalize (zenon_H8 (a1085)). zenon_intro zenon_Hc. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hc); [ zenon_intro zenon_H6 | zenon_intro zenon_Hd ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.57/0.73 exact (zenon_H9 zenon_Hf). % 0.57/0.73 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.57/0.73 exact (zenon_Ha zenon_H11). % 0.57/0.73 exact (zenon_H10 zenon_Hb). % 0.57/0.73 (* end of lemma zenon_L5_ *) % 0.57/0.73 assert (zenon_L6_ : (~(hskp6)) -> (hskp6) -> False). % 0.57/0.73 do 0 intro. intros zenon_H12 zenon_H13. % 0.57/0.73 exact (zenon_H12 zenon_H13). % 0.57/0.73 (* end of lemma zenon_L6_ *) % 0.57/0.73 assert (zenon_L7_ : (~(hskp7)) -> (hskp7) -> False). % 0.57/0.73 do 0 intro. intros zenon_H14 zenon_H15. % 0.57/0.73 exact (zenon_H14 zenon_H15). % 0.57/0.73 (* end of lemma zenon_L7_ *) % 0.57/0.73 assert (zenon_L8_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H16 zenon_Hb zenon_Ha zenon_H9 zenon_H7 zenon_H12 zenon_H14. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H8 | zenon_intro zenon_H17 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H13 | zenon_intro zenon_H15 ]. % 0.57/0.73 exact (zenon_H12 zenon_H13). % 0.57/0.73 exact (zenon_H14 zenon_H15). % 0.57/0.73 (* end of lemma zenon_L8_ *) % 0.57/0.73 assert (zenon_L9_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H18 zenon_H7 zenon_H19 zenon_H1a zenon_H1b. % 0.57/0.73 generalize (zenon_H18 (a1087)). zenon_intro zenon_H1c. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ]. % 0.57/0.73 exact (zenon_H19 zenon_H1f). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.57/0.73 exact (zenon_H1a zenon_H21). % 0.57/0.73 exact (zenon_H1b zenon_H20). % 0.57/0.73 (* end of lemma zenon_L9_ *) % 0.57/0.73 assert (zenon_L10_ : (~(hskp1)) -> (hskp1) -> False). % 0.57/0.73 do 0 intro. intros zenon_H22 zenon_H23. % 0.57/0.73 exact (zenon_H22 zenon_H23). % 0.57/0.73 (* end of lemma zenon_L10_ *) % 0.57/0.73 assert (zenon_L11_ : (~(hskp2)) -> (hskp2) -> False). % 0.57/0.73 do 0 intro. intros zenon_H24 zenon_H25. % 0.57/0.73 exact (zenon_H24 zenon_H25). % 0.57/0.73 (* end of lemma zenon_L11_ *) % 0.57/0.73 assert (zenon_L12_ : ((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H26 zenon_H27 zenon_H22 zenon_H24. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H7. zenon_intro zenon_H28. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H19. zenon_intro zenon_H29. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H18 | zenon_intro zenon_H2a ]. % 0.57/0.73 apply (zenon_L9_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H23 | zenon_intro zenon_H25 ]. % 0.57/0.73 exact (zenon_H22 zenon_H23). % 0.57/0.73 exact (zenon_H24 zenon_H25). % 0.57/0.73 (* end of lemma zenon_L12_ *) % 0.57/0.73 assert (zenon_L13_ : (~(hskp8)) -> (hskp8) -> False). % 0.57/0.73 do 0 intro. intros zenon_H2b zenon_H2c. % 0.57/0.73 exact (zenon_H2b zenon_H2c). % 0.57/0.73 (* end of lemma zenon_L13_ *) % 0.57/0.73 assert (zenon_L14_ : (~(hskp9)) -> (hskp9) -> False). % 0.57/0.73 do 0 intro. intros zenon_H2d zenon_H2e. % 0.57/0.73 exact (zenon_H2d zenon_H2e). % 0.57/0.73 (* end of lemma zenon_L14_ *) % 0.57/0.73 assert (zenon_L15_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H2f zenon_Hb zenon_Ha zenon_H9 zenon_H7 zenon_H2b zenon_H2d. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.57/0.73 exact (zenon_H2b zenon_H2c). % 0.57/0.73 exact (zenon_H2d zenon_H2e). % 0.57/0.73 (* end of lemma zenon_L15_ *) % 0.57/0.73 assert (zenon_L16_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H31 zenon_H7 zenon_H32 zenon_H33 zenon_H34. % 0.57/0.73 generalize (zenon_H31 (a1086)). zenon_intro zenon_H35. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H6 | zenon_intro zenon_H36 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.57/0.73 exact (zenon_H32 zenon_H38). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.57/0.73 exact (zenon_H3a zenon_H33). % 0.57/0.73 exact (zenon_H39 zenon_H34). % 0.57/0.73 (* end of lemma zenon_L16_ *) % 0.57/0.73 assert (zenon_L17_ : (~(hskp14)) -> (hskp14) -> False). % 0.57/0.73 do 0 intro. intros zenon_H3b zenon_H3c. % 0.57/0.73 exact (zenon_H3b zenon_H3c). % 0.57/0.73 (* end of lemma zenon_L17_ *) % 0.57/0.73 assert (zenon_L18_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1086)) -> (c0_1 (a1086)) -> (~(c1_1 (a1086))) -> (ndr1_0) -> False). % 0.57/0.73 do 0 intro. intros zenon_H3d zenon_H3b zenon_H34 zenon_H33 zenon_H32 zenon_H7. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ]. % 0.57/0.73 apply (zenon_L16_); trivial. % 0.57/0.73 exact (zenon_H3b zenon_H3c). % 0.57/0.73 (* end of lemma zenon_L18_ *) % 0.57/0.73 assert (zenon_L19_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H3e zenon_H7 zenon_H3f zenon_H40 zenon_H41. % 0.57/0.73 generalize (zenon_H3e (a1097)). zenon_intro zenon_H42. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H6 | zenon_intro zenon_H43 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.57/0.73 exact (zenon_H3f zenon_H45). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.57/0.73 exact (zenon_H47 zenon_H40). % 0.57/0.73 exact (zenon_H46 zenon_H41). % 0.57/0.73 (* end of lemma zenon_L19_ *) % 0.57/0.73 assert (zenon_L20_ : (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(c0_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H48 zenon_H7 zenon_H49 zenon_H4a zenon_H4b. % 0.57/0.73 generalize (zenon_H48 (a1089)). zenon_intro zenon_H4c. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H6 | zenon_intro zenon_H4d ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.57/0.73 exact (zenon_H49 zenon_H4f). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.57/0.73 exact (zenon_H51 zenon_H4a). % 0.57/0.73 exact (zenon_H50 zenon_H4b). % 0.57/0.73 (* end of lemma zenon_L20_ *) % 0.57/0.73 assert (zenon_L21_ : (forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H52 zenon_H7 zenon_H48 zenon_H4a zenon_H4b. % 0.57/0.73 generalize (zenon_H52 (a1089)). zenon_intro zenon_H53. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H6 | zenon_intro zenon_H54 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H49 | zenon_intro zenon_H4e ]. % 0.57/0.73 apply (zenon_L20_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.57/0.73 exact (zenon_H51 zenon_H4a). % 0.57/0.73 exact (zenon_H50 zenon_H4b). % 0.57/0.73 (* end of lemma zenon_L21_ *) % 0.57/0.73 assert (zenon_L22_ : (~(hskp26)) -> (hskp26) -> False). % 0.57/0.73 do 0 intro. intros zenon_H55 zenon_H56. % 0.57/0.73 exact (zenon_H55 zenon_H56). % 0.57/0.73 (* end of lemma zenon_L22_ *) % 0.57/0.73 assert (zenon_L23_ : ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (~(c2_1 (a1097))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H57 zenon_H41 zenon_H40 zenon_H3f zenon_H4b zenon_H4a zenon_H48 zenon_H7 zenon_H55. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H3e | zenon_intro zenon_H58 ]. % 0.57/0.73 apply (zenon_L19_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H52 | zenon_intro zenon_H56 ]. % 0.57/0.73 apply (zenon_L21_); trivial. % 0.57/0.73 exact (zenon_H55 zenon_H56). % 0.57/0.73 (* end of lemma zenon_L23_ *) % 0.57/0.73 assert (zenon_L24_ : (~(hskp19)) -> (hskp19) -> False). % 0.57/0.73 do 0 intro. intros zenon_H59 zenon_H5a. % 0.57/0.73 exact (zenon_H59 zenon_H5a). % 0.57/0.73 (* end of lemma zenon_L24_ *) % 0.57/0.73 assert (zenon_L25_ : (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(c0_1 (a1146))) -> (c2_1 (a1146)) -> (c3_1 (a1146)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H48 zenon_H7 zenon_H5b zenon_H5c zenon_H5d. % 0.57/0.73 generalize (zenon_H48 (a1146)). zenon_intro zenon_H5e. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H6 | zenon_intro zenon_H5f ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.57/0.73 exact (zenon_H5b zenon_H61). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.57/0.73 exact (zenon_H63 zenon_H5c). % 0.57/0.73 exact (zenon_H62 zenon_H5d). % 0.57/0.73 (* end of lemma zenon_L25_ *) % 0.57/0.73 assert (zenon_L26_ : ((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H64 zenon_H65 zenon_H59. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H7. zenon_intro zenon_H66. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5c. zenon_intro zenon_H67. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5d. zenon_intro zenon_H5b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H48 | zenon_intro zenon_H5a ]. % 0.57/0.73 apply (zenon_L25_); trivial. % 0.57/0.73 exact (zenon_H59 zenon_H5a). % 0.57/0.73 (* end of lemma zenon_L26_ *) % 0.57/0.73 assert (zenon_L27_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (~(c2_1 (a1097))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H68 zenon_H57 zenon_H4b zenon_H4a zenon_H41 zenon_H40 zenon_H3f zenon_H7 zenon_H59 zenon_H65. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H48 | zenon_intro zenon_H5a ]. % 0.57/0.73 apply (zenon_L23_); trivial. % 0.57/0.73 exact (zenon_H59 zenon_H5a). % 0.57/0.73 apply (zenon_L26_); trivial. % 0.57/0.73 (* end of lemma zenon_L27_ *) % 0.57/0.73 assert (zenon_L28_ : (~(hskp20)) -> (hskp20) -> False). % 0.57/0.73 do 0 intro. intros zenon_H69 zenon_H6a. % 0.57/0.73 exact (zenon_H69 zenon_H6a). % 0.57/0.73 (* end of lemma zenon_L28_ *) % 0.57/0.73 assert (zenon_L29_ : (~(hskp27)) -> (hskp27) -> False). % 0.57/0.73 do 0 intro. intros zenon_H6b zenon_H6c. % 0.57/0.73 exact (zenon_H6b zenon_H6c). % 0.57/0.73 (* end of lemma zenon_L29_ *) % 0.57/0.73 assert (zenon_L30_ : (~(hskp13)) -> (hskp13) -> False). % 0.57/0.73 do 0 intro. intros zenon_H6d zenon_H6e. % 0.57/0.73 exact (zenon_H6d zenon_H6e). % 0.57/0.73 (* end of lemma zenon_L30_ *) % 0.57/0.73 assert (zenon_L31_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1164))) -> (~(c3_1 (a1164))) -> (c0_1 (a1164)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H6f zenon_H7 zenon_H70 zenon_H71 zenon_H72. % 0.57/0.73 generalize (zenon_H6f (a1164)). zenon_intro zenon_H73. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H6 | zenon_intro zenon_H74 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.57/0.73 exact (zenon_H70 zenon_H76). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 0.57/0.73 exact (zenon_H71 zenon_H78). % 0.57/0.73 exact (zenon_H77 zenon_H72). % 0.57/0.73 (* end of lemma zenon_L31_ *) % 0.57/0.73 assert (zenon_L32_ : (forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H79 zenon_H7 zenon_H7a zenon_H7b zenon_H7c. % 0.57/0.73 generalize (zenon_H79 (a1113)). zenon_intro zenon_H7d. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_H6 | zenon_intro zenon_H7e ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.57/0.73 exact (zenon_H7a zenon_H80). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 0.57/0.73 exact (zenon_H82 zenon_H7b). % 0.57/0.73 exact (zenon_H81 zenon_H7c). % 0.57/0.73 (* end of lemma zenon_L32_ *) % 0.57/0.73 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H83 zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H7a zenon_H7b zenon_H7c. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H7. zenon_intro zenon_H85. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H72. zenon_intro zenon_H86. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_H70. zenon_intro zenon_H71. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.73 apply (zenon_L31_); trivial. % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 (* end of lemma zenon_L33_ *) % 0.57/0.73 assert (zenon_L34_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a1113)) -> (c0_1 (a1113)) -> (~(c2_1 (a1113))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp20)) -> (~(hskp13)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H88 zenon_H84 zenon_H7c zenon_H7b zenon_H7a zenon_Hb zenon_Ha zenon_H9 zenon_H69 zenon_H6d zenon_H89. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H6b | zenon_intro zenon_H83 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H8a ]. % 0.57/0.73 exact (zenon_H69 zenon_H6a). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ]. % 0.57/0.73 exact (zenon_H6b zenon_H6c). % 0.57/0.73 exact (zenon_H6d zenon_H6e). % 0.57/0.73 apply (zenon_L33_); trivial. % 0.57/0.73 (* end of lemma zenon_L34_ *) % 0.57/0.73 assert (zenon_L35_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1114))) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53)))))) -> (~(c1_1 (a1114))) -> (c0_1 (a1114)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H6f zenon_H7 zenon_H8b zenon_H8c zenon_H8d zenon_H8e. % 0.57/0.73 generalize (zenon_H6f (a1114)). zenon_intro zenon_H8f. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H8f); [ zenon_intro zenon_H6 | zenon_intro zenon_H90 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 0.57/0.73 exact (zenon_H8b zenon_H92). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 0.57/0.73 generalize (zenon_H8c (a1114)). zenon_intro zenon_H95. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H6 | zenon_intro zenon_H96 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.57/0.73 exact (zenon_H8d zenon_H98). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H92 | zenon_intro zenon_H99 ]. % 0.57/0.73 exact (zenon_H8b zenon_H92). % 0.57/0.73 exact (zenon_H99 zenon_H94). % 0.57/0.73 exact (zenon_H93 zenon_H8e). % 0.57/0.73 (* end of lemma zenon_L35_ *) % 0.57/0.73 assert (zenon_L36_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> (c0_1 (a1114)) -> (~(c1_1 (a1114))) -> (~(c2_1 (a1114))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (c1_1 (a1113)) -> (c0_1 (a1113)) -> (~(c2_1 (a1113))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9a zenon_H8e zenon_H8d zenon_H8b zenon_H6f zenon_H7c zenon_H7b zenon_H7a zenon_H7 zenon_H22. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H8c | zenon_intro zenon_H9b ]. % 0.57/0.73 apply (zenon_L35_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H79 | zenon_intro zenon_H23 ]. % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 exact (zenon_H22 zenon_H23). % 0.57/0.73 (* end of lemma zenon_L36_ *) % 0.57/0.73 assert (zenon_L37_ : ((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9c zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H22 zenon_H9a zenon_H7a zenon_H7b zenon_H7c. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.73 apply (zenon_L36_); trivial. % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 (* end of lemma zenon_L37_ *) % 0.57/0.73 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9f zenon_Ha0 zenon_H22 zenon_H9a zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.73 apply (zenon_L34_); trivial. % 0.57/0.73 apply (zenon_L37_); trivial. % 0.57/0.73 (* end of lemma zenon_L38_ *) % 0.57/0.73 assert (zenon_L39_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a1095))) -> (~(c2_1 (a1095))) -> (c3_1 (a1095)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H8c zenon_H7 zenon_Ha3 zenon_Ha4 zenon_Ha5. % 0.57/0.73 generalize (zenon_H8c (a1095)). zenon_intro zenon_Ha6. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Ha6); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha7 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 0.57/0.73 exact (zenon_Ha3 zenon_Ha9). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ]. % 0.57/0.73 exact (zenon_Ha4 zenon_Hab). % 0.57/0.73 exact (zenon_Haa zenon_Ha5). % 0.57/0.73 (* end of lemma zenon_L39_ *) % 0.57/0.73 assert (zenon_L40_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> (c3_1 (a1095)) -> (~(c2_1 (a1095))) -> (~(c1_1 (a1095))) -> (~(hskp1)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9f zenon_H9a zenon_Ha5 zenon_Ha4 zenon_Ha3 zenon_H22. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H8c | zenon_intro zenon_H9b ]. % 0.57/0.73 apply (zenon_L39_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H79 | zenon_intro zenon_H23 ]. % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 exact (zenon_H22 zenon_H23). % 0.57/0.73 (* end of lemma zenon_L40_ *) % 0.57/0.73 assert (zenon_L41_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a1095)) -> (~(c2_1 (a1095))) -> (~(c1_1 (a1095))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hac zenon_Had zenon_H9a zenon_H22 zenon_Ha5 zenon_Ha4 zenon_Ha3 zenon_H65 zenon_H4a zenon_H4b zenon_H57 zenon_H68. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L27_); trivial. % 0.57/0.73 apply (zenon_L40_); trivial. % 0.57/0.73 (* end of lemma zenon_L41_ *) % 0.57/0.73 assert (zenon_L42_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (c2_1 (a1086)) -> (c0_1 (a1086)) -> (~(c1_1 (a1086))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hb0 zenon_Hb1 zenon_H3d zenon_H34 zenon_H33 zenon_H32 zenon_H68 zenon_H57 zenon_H65 zenon_H88 zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H89 zenon_H9a zenon_H22 zenon_Ha0 zenon_Had zenon_Hb2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L18_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L27_); trivial. % 0.57/0.73 apply (zenon_L38_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L18_); trivial. % 0.57/0.73 apply (zenon_L41_); trivial. % 0.57/0.73 (* end of lemma zenon_L42_ *) % 0.57/0.73 assert (zenon_L43_ : (~(hskp28)) -> (hskp28) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hb9 zenon_Hba. % 0.57/0.73 exact (zenon_Hb9 zenon_Hba). % 0.57/0.73 (* end of lemma zenon_L43_ *) % 0.57/0.73 assert (zenon_L44_ : ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hbb zenon_Hbc zenon_Hbd zenon_Hbe zenon_H7 zenon_Hb9 zenon_H2d. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.57/0.73 generalize (zenon_Hc0 (a1088)). zenon_intro zenon_Hc1. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hc1); [ zenon_intro zenon_H6 | zenon_intro zenon_Hc2 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ]. % 0.57/0.73 exact (zenon_Hbe zenon_Hc4). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.57/0.73 exact (zenon_Hc6 zenon_Hbd). % 0.57/0.73 exact (zenon_Hc5 zenon_Hbc). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hba | zenon_intro zenon_H2e ]. % 0.57/0.73 exact (zenon_Hb9 zenon_Hba). % 0.57/0.73 exact (zenon_H2d zenon_H2e). % 0.57/0.73 (* end of lemma zenon_L44_ *) % 0.57/0.73 assert (zenon_L45_ : (forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (c0_1 (a1092)) -> (c2_1 (a1092)) -> (c3_1 (a1092)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H52 zenon_H7 zenon_Hc7 zenon_Hc8 zenon_Hc9. % 0.57/0.73 generalize (zenon_H52 (a1092)). zenon_intro zenon_Hca. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_H6 | zenon_intro zenon_Hcb ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.57/0.73 exact (zenon_Hcd zenon_Hc7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.57/0.73 exact (zenon_Hcf zenon_Hc8). % 0.57/0.73 exact (zenon_Hce zenon_Hc9). % 0.57/0.73 (* end of lemma zenon_L45_ *) % 0.57/0.73 assert (zenon_L46_ : ((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (~(c2_1 (a1097))) -> (~(hskp26)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd0 zenon_H57 zenon_H41 zenon_H40 zenon_H3f zenon_H55. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H3e | zenon_intro zenon_H58 ]. % 0.57/0.73 apply (zenon_L19_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H52 | zenon_intro zenon_H56 ]. % 0.57/0.73 apply (zenon_L45_); trivial. % 0.57/0.73 exact (zenon_H55 zenon_H56). % 0.57/0.73 (* end of lemma zenon_L46_ *) % 0.57/0.73 assert (zenon_L47_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(hskp26)) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (~(c2_1 (a1097))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd3 zenon_H57 zenon_H55 zenon_H41 zenon_H40 zenon_H3f zenon_H7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.73 apply (zenon_L44_); trivial. % 0.57/0.73 apply (zenon_L46_); trivial. % 0.57/0.73 (* end of lemma zenon_L47_ *) % 0.57/0.73 assert (zenon_L48_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H68 zenon_H65 zenon_H59 zenon_Hbb zenon_H2d zenon_Hbc zenon_Hbd zenon_Hbe zenon_H7 zenon_H3f zenon_H40 zenon_H41 zenon_H57 zenon_Hd3. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.73 apply (zenon_L47_); trivial. % 0.57/0.73 apply (zenon_L26_); trivial. % 0.57/0.73 (* end of lemma zenon_L48_ *) % 0.57/0.73 assert (zenon_L49_ : ((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hb6 zenon_Hb2 zenon_Had zenon_H9a zenon_H22 zenon_Hd3 zenon_H57 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb zenon_H65 zenon_H68 zenon_H32 zenon_H33 zenon_H34 zenon_H3d. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L18_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L48_); trivial. % 0.57/0.73 apply (zenon_L40_); trivial. % 0.57/0.73 (* end of lemma zenon_L49_ *) % 0.57/0.73 assert (zenon_L50_ : ((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd4 zenon_Hd5 zenon_Hd3 zenon_Hbb zenon_H2f zenon_Hb zenon_Ha zenon_H9 zenon_Hb2 zenon_Had zenon_Ha0 zenon_H22 zenon_H9a zenon_H89 zenon_H84 zenon_H88 zenon_H65 zenon_H57 zenon_H68 zenon_H3d zenon_Hb1 zenon_Hd6. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_H7. zenon_intro zenon_Hd7. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H33. zenon_intro zenon_Hd8. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H34. zenon_intro zenon_H32. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.73 apply (zenon_L15_); trivial. % 0.57/0.73 apply (zenon_L42_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L18_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L48_); trivial. % 0.57/0.73 apply (zenon_L38_); trivial. % 0.57/0.73 apply (zenon_L49_); trivial. % 0.57/0.73 apply (zenon_L42_); trivial. % 0.57/0.73 (* end of lemma zenon_L50_ *) % 0.57/0.73 assert (zenon_L51_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hdc zenon_Hd5 zenon_Hd3 zenon_Hbb zenon_H2f zenon_Hb2 zenon_Had zenon_Ha0 zenon_H9a zenon_H89 zenon_H84 zenon_H88 zenon_H65 zenon_H57 zenon_H68 zenon_H3d zenon_Hb1 zenon_Hd6 zenon_H16 zenon_Hb zenon_Ha zenon_H9 zenon_H7 zenon_H22 zenon_H24 zenon_H27 zenon_Hdd. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H14 | zenon_intro zenon_H26 ]. % 0.57/0.73 apply (zenon_L8_); trivial. % 0.57/0.73 apply (zenon_L12_); trivial. % 0.57/0.73 apply (zenon_L50_); trivial. % 0.57/0.73 (* end of lemma zenon_L51_ *) % 0.57/0.73 assert (zenon_L52_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hde zenon_H7 zenon_Hdf zenon_He0 zenon_He1. % 0.57/0.73 generalize (zenon_Hde (a1082)). zenon_intro zenon_He2. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_H6 | zenon_intro zenon_He3 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ]. % 0.57/0.73 exact (zenon_Hdf zenon_He5). % 0.57/0.73 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.57/0.73 exact (zenon_He0 zenon_He7). % 0.57/0.73 exact (zenon_He1 zenon_He6). % 0.57/0.73 (* end of lemma zenon_L52_ *) % 0.57/0.73 assert (zenon_L53_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> False). % 0.57/0.73 do 0 intro. intros zenon_He8 zenon_H7 zenon_Hb5 zenon_H4a zenon_H4b. % 0.57/0.73 generalize (zenon_He8 (a1089)). zenon_intro zenon_He9. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H6 | zenon_intro zenon_Hea ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Heb | zenon_intro zenon_H4e ]. % 0.57/0.73 exact (zenon_Hb5 zenon_Heb). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.57/0.73 exact (zenon_H51 zenon_H4a). % 0.57/0.73 exact (zenon_H50 zenon_H4b). % 0.57/0.73 (* end of lemma zenon_L53_ *) % 0.57/0.73 assert (zenon_L54_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hb0 zenon_Hec zenon_H1b zenon_H1a zenon_H19 zenon_He1 zenon_He0 zenon_Hdf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.73 apply (zenon_L9_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.73 apply (zenon_L52_); trivial. % 0.57/0.73 apply (zenon_L53_); trivial. % 0.57/0.73 (* end of lemma zenon_L54_ *) % 0.57/0.73 assert (zenon_L55_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (ndr1_0) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd6 zenon_Hec zenon_He1 zenon_He0 zenon_Hdf zenon_H1b zenon_H1a zenon_H19 zenon_H7 zenon_H9 zenon_Ha zenon_Hb zenon_H2b zenon_H2f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.73 apply (zenon_L15_); trivial. % 0.57/0.73 apply (zenon_L54_); trivial. % 0.57/0.73 (* end of lemma zenon_L55_ *) % 0.57/0.73 assert (zenon_L56_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c0_1 (a1092)) -> (c3_1 (a1092)) -> (c2_1 (a1092)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H31 zenon_H7 zenon_Hee zenon_Hc7 zenon_Hc9 zenon_Hc8. % 0.57/0.73 generalize (zenon_H31 (a1092)). zenon_intro zenon_Hef. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf0 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ]. % 0.57/0.73 generalize (zenon_Hee (a1092)). zenon_intro zenon_Hf3. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hf3); [ zenon_intro zenon_H6 | zenon_intro zenon_Hf4 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hf5 ]. % 0.57/0.73 exact (zenon_Hcd zenon_Hc7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hce ]. % 0.57/0.73 exact (zenon_Hf6 zenon_Hf2). % 0.57/0.73 exact (zenon_Hce zenon_Hc9). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcf ]. % 0.57/0.73 exact (zenon_Hcd zenon_Hc7). % 0.57/0.73 exact (zenon_Hcf zenon_Hc8). % 0.57/0.73 (* end of lemma zenon_L56_ *) % 0.57/0.73 assert (zenon_L57_ : ((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd0 zenon_Hf7 zenon_H1b zenon_H1a zenon_H19 zenon_H3b zenon_H3d. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H18 | zenon_intro zenon_Hf8 ]. % 0.57/0.73 apply (zenon_L9_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hee | zenon_intro zenon_H52 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ]. % 0.57/0.73 apply (zenon_L56_); trivial. % 0.57/0.73 exact (zenon_H3b zenon_H3c). % 0.57/0.73 apply (zenon_L45_); trivial. % 0.57/0.73 (* end of lemma zenon_L57_ *) % 0.57/0.73 assert (zenon_L58_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd3 zenon_Hf7 zenon_H3b zenon_H3d zenon_H1b zenon_H1a zenon_H19 zenon_H7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.73 apply (zenon_L44_); trivial. % 0.57/0.73 apply (zenon_L57_); trivial. % 0.57/0.73 (* end of lemma zenon_L58_ *) % 0.57/0.73 assert (zenon_L59_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c0_1 (a1146))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a1146)) -> (c3_1 (a1146)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hf9 zenon_H7 zenon_H5b zenon_He8 zenon_H5c zenon_H5d. % 0.57/0.73 generalize (zenon_Hf9 (a1146)). zenon_intro zenon_Hfa. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_H6 | zenon_intro zenon_Hfb ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H61 | zenon_intro zenon_Hfc ]. % 0.57/0.73 exact (zenon_H5b zenon_H61). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hfd | zenon_intro zenon_H63 ]. % 0.57/0.73 generalize (zenon_He8 (a1146)). zenon_intro zenon_Hfe. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H6 | zenon_intro zenon_Hff ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H100 | zenon_intro zenon_H60 ]. % 0.57/0.73 exact (zenon_Hfd zenon_H100). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.57/0.73 exact (zenon_H63 zenon_H5c). % 0.57/0.73 exact (zenon_H62 zenon_H5d). % 0.57/0.73 exact (zenon_H63 zenon_H5c). % 0.57/0.73 (* end of lemma zenon_L59_ *) % 0.57/0.73 assert (zenon_L60_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1092)) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a1092)) -> (c3_1 (a1092)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H101 zenon_H7 zenon_Hc7 zenon_He8 zenon_Hc8 zenon_Hc9. % 0.57/0.73 generalize (zenon_H101 (a1092)). zenon_intro zenon_H102. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_H6 | zenon_intro zenon_H103 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hcd | zenon_intro zenon_H104 ]. % 0.57/0.73 exact (zenon_Hcd zenon_Hc7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hcf ]. % 0.57/0.73 generalize (zenon_He8 (a1092)). zenon_intro zenon_H105. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_H6 | zenon_intro zenon_H106 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hcc ]. % 0.57/0.73 exact (zenon_Hf6 zenon_Hf2). % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.57/0.73 exact (zenon_Hcf zenon_Hc8). % 0.57/0.73 exact (zenon_Hce zenon_Hc9). % 0.57/0.73 exact (zenon_Hcf zenon_Hc8). % 0.57/0.73 (* end of lemma zenon_L60_ *) % 0.57/0.73 assert (zenon_L61_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (c3_1 (a1146)) -> (c2_1 (a1146)) -> (~(c0_1 (a1146))) -> (ndr1_0) -> (c0_1 (a1092)) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a1092)) -> (c3_1 (a1092)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H5d zenon_H5c zenon_H5b zenon_H7 zenon_Hc7 zenon_He8 zenon_Hc8 zenon_Hc9. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8 | zenon_intro zenon_H108 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H101 ]. % 0.57/0.73 apply (zenon_L59_); trivial. % 0.57/0.73 apply (zenon_L60_); trivial. % 0.57/0.73 (* end of lemma zenon_L61_ *) % 0.57/0.73 assert (zenon_L62_ : ((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H64 zenon_Hd3 zenon_Hec zenon_H9 zenon_Ha zenon_Hb zenon_H107 zenon_He1 zenon_He0 zenon_Hdf zenon_H1b zenon_H1a zenon_H19 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H7. zenon_intro zenon_H66. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5c. zenon_intro zenon_H67. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5d. zenon_intro zenon_H5b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.73 apply (zenon_L44_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.73 apply (zenon_L9_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.73 apply (zenon_L52_); trivial. % 0.57/0.73 apply (zenon_L61_); trivial. % 0.57/0.73 (* end of lemma zenon_L62_ *) % 0.57/0.73 assert (zenon_L63_ : ((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H26 zenon_Hd5 zenon_Hd3 zenon_Hf7 zenon_H3d zenon_Hbb zenon_H57 zenon_H107 zenon_H68 zenon_Hb2 zenon_H2f zenon_Hb zenon_Ha zenon_H9 zenon_Hdf zenon_He0 zenon_He1 zenon_Hec zenon_Hd6. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H7. zenon_intro zenon_H28. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H19. zenon_intro zenon_H29. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.73 apply (zenon_L55_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L58_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.73 apply (zenon_L47_); trivial. % 0.57/0.73 apply (zenon_L62_); trivial. % 0.57/0.73 apply (zenon_L54_); trivial. % 0.57/0.73 (* end of lemma zenon_L63_ *) % 0.57/0.73 assert (zenon_L64_ : ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> (ndr1_0) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> (~(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hdd zenon_Hd5 zenon_Hd3 zenon_Hf7 zenon_H3d zenon_Hbb zenon_H57 zenon_H107 zenon_H68 zenon_Hb2 zenon_H2f zenon_Hdf zenon_He0 zenon_He1 zenon_Hec zenon_Hd6 zenon_H7 zenon_H9 zenon_Ha zenon_Hb zenon_H12 zenon_H16. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H14 | zenon_intro zenon_H26 ]. % 0.57/0.73 apply (zenon_L8_); trivial. % 0.57/0.73 apply (zenon_L63_); trivial. % 0.57/0.73 (* end of lemma zenon_L64_ *) % 0.57/0.73 assert (zenon_L65_ : ((ndr1_0)/\((c2_1 (a1085))/\((~(c0_1 (a1085)))/\(~(c1_1 (a1085)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H109 zenon_Hdc zenon_Had zenon_Ha0 zenon_H22 zenon_H9a zenon_H89 zenon_H84 zenon_H88 zenon_H65 zenon_Hb1 zenon_H16 zenon_Hd6 zenon_Hec zenon_He1 zenon_He0 zenon_Hdf zenon_H2f zenon_Hb2 zenon_H68 zenon_H107 zenon_H57 zenon_Hbb zenon_H3d zenon_Hf7 zenon_Hd3 zenon_Hd5 zenon_Hdd. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.73 apply (zenon_L64_); trivial. % 0.57/0.73 apply (zenon_L50_); trivial. % 0.57/0.73 (* end of lemma zenon_L65_ *) % 0.57/0.73 assert (zenon_L66_ : (~(hskp21)) -> (hskp21) -> False). % 0.57/0.73 do 0 intro. intros zenon_H10c zenon_H10d. % 0.57/0.73 exact (zenon_H10c zenon_H10d). % 0.57/0.73 (* end of lemma zenon_L66_ *) % 0.57/0.73 assert (zenon_L67_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> (ndr1_0) -> False). % 0.57/0.73 do 0 intro. intros zenon_H10e zenon_H10c zenon_H4b zenon_H4a zenon_Hb5 zenon_H7. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_He8 | zenon_intro zenon_H10d ]. % 0.57/0.73 apply (zenon_L53_); trivial. % 0.57/0.73 exact (zenon_H10c zenon_H10d). % 0.57/0.73 (* end of lemma zenon_L67_ *) % 0.57/0.73 assert (zenon_L68_ : (forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H10f zenon_H7 zenon_H110 zenon_H111 zenon_H112. % 0.57/0.73 generalize (zenon_H10f (a1120)). zenon_intro zenon_H113. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_H6 | zenon_intro zenon_H114 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.57/0.73 exact (zenon_H110 zenon_H116). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 0.57/0.73 exact (zenon_H118 zenon_H111). % 0.57/0.73 exact (zenon_H117 zenon_H112). % 0.57/0.73 (* end of lemma zenon_L68_ *) % 0.57/0.73 assert (zenon_L69_ : (~(hskp31)) -> (hskp31) -> False). % 0.57/0.73 do 0 intro. intros zenon_H119 zenon_H11a. % 0.57/0.73 exact (zenon_H119 zenon_H11a). % 0.57/0.73 (* end of lemma zenon_L69_ *) % 0.57/0.73 assert (zenon_L70_ : (~(hskp29)) -> (hskp29) -> False). % 0.57/0.73 do 0 intro. intros zenon_H11b zenon_H11c. % 0.57/0.73 exact (zenon_H11b zenon_H11c). % 0.57/0.73 (* end of lemma zenon_L70_ *) % 0.57/0.73 assert (zenon_L71_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (~(hskp31)) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H11d zenon_H119 zenon_H110 zenon_H111 zenon_H112 zenon_H11e zenon_H4b zenon_H4a zenon_Hb5 zenon_H7 zenon_H11b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.57/0.73 generalize (zenon_H122 (a1120)). zenon_intro zenon_H123. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_H124 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H116 | zenon_intro zenon_H125 ]. % 0.57/0.73 exact (zenon_H110 zenon_H116). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H126 | zenon_intro zenon_H117 ]. % 0.57/0.73 generalize (zenon_H120 (a1120)). zenon_intro zenon_H127. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H6 | zenon_intro zenon_H128 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.57/0.73 exact (zenon_H126 zenon_H12a). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H116 | zenon_intro zenon_H118 ]. % 0.57/0.73 exact (zenon_H110 zenon_H116). % 0.57/0.73 exact (zenon_H118 zenon_H111). % 0.57/0.73 exact (zenon_H117 zenon_H112). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H10f | zenon_intro zenon_H11a ]. % 0.57/0.73 apply (zenon_L68_); trivial. % 0.57/0.73 exact (zenon_H119 zenon_H11a). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_He8 | zenon_intro zenon_H11c ]. % 0.57/0.73 apply (zenon_L53_); trivial. % 0.57/0.73 exact (zenon_H11b zenon_H11c). % 0.57/0.73 (* end of lemma zenon_L71_ *) % 0.57/0.73 assert (zenon_L72_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H12b zenon_H7 zenon_H12c zenon_H12d zenon_H12e. % 0.57/0.73 generalize (zenon_H12b (a1081)). zenon_intro zenon_H12f. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H6 | zenon_intro zenon_H130 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 0.57/0.73 exact (zenon_H12c zenon_H132). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 0.57/0.73 exact (zenon_H12d zenon_H134). % 0.57/0.73 exact (zenon_H133 zenon_H12e). % 0.57/0.73 (* end of lemma zenon_L72_ *) % 0.57/0.73 assert (zenon_L73_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1148)) -> (c1_1 (a1148)) -> (c2_1 (a1148)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H101 zenon_H7 zenon_H135 zenon_H136 zenon_H137. % 0.57/0.73 generalize (zenon_H101 (a1148)). zenon_intro zenon_H138. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_H6 | zenon_intro zenon_H139 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.57/0.73 exact (zenon_H13b zenon_H135). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 0.57/0.73 exact (zenon_H13d zenon_H136). % 0.57/0.73 exact (zenon_H13c zenon_H137). % 0.57/0.73 (* end of lemma zenon_L73_ *) % 0.57/0.73 assert (zenon_L74_ : (~(hskp10)) -> (hskp10) -> False). % 0.57/0.73 do 0 intro. intros zenon_H13e zenon_H13f. % 0.57/0.73 exact (zenon_H13e zenon_H13f). % 0.57/0.73 (* end of lemma zenon_L74_ *) % 0.57/0.73 assert (zenon_L75_ : ((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (~(hskp10)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H140 zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_H13e. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H7. zenon_intro zenon_H142. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H135. zenon_intro zenon_H143. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12b | zenon_intro zenon_H144 ]. % 0.57/0.73 apply (zenon_L72_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H101 | zenon_intro zenon_H13f ]. % 0.57/0.73 apply (zenon_L73_); trivial. % 0.57/0.73 exact (zenon_H13e zenon_H13f). % 0.57/0.73 (* end of lemma zenon_L75_ *) % 0.57/0.73 assert (zenon_L76_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> (~(hskp29)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H112 zenon_H111 zenon_H110 zenon_H7 zenon_Hb5 zenon_H4a zenon_H4b zenon_H11b zenon_H11d. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.73 apply (zenon_L71_); trivial. % 0.57/0.73 apply (zenon_L75_); trivial. % 0.57/0.73 (* end of lemma zenon_L76_ *) % 0.57/0.73 assert (zenon_L77_ : (~(hskp3)) -> (hskp3) -> False). % 0.57/0.73 do 0 intro. intros zenon_H146 zenon_H147. % 0.57/0.73 exact (zenon_H146 zenon_H147). % 0.57/0.73 (* end of lemma zenon_L77_ *) % 0.57/0.73 assert (zenon_L78_ : ((forall X50 : zenon_U, ((ndr1_0)->((~(c1_1 X50))\/((~(c2_1 X50))\/(~(c3_1 X50))))))\/((hskp31)\/(hskp3))) -> (c3_1 (a1101)) -> (c2_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> (~(hskp31)) -> (~(hskp3)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H148 zenon_H149 zenon_H14a zenon_H14b zenon_H7 zenon_H119 zenon_H146. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 0.57/0.73 generalize (zenon_H14d (a1101)). zenon_intro zenon_H14e. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H6 | zenon_intro zenon_H14f ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 0.57/0.73 exact (zenon_H151 zenon_H14b). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.57/0.73 exact (zenon_H153 zenon_H14a). % 0.57/0.73 exact (zenon_H152 zenon_H149). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H11a | zenon_intro zenon_H147 ]. % 0.57/0.73 exact (zenon_H119 zenon_H11a). % 0.57/0.73 exact (zenon_H146 zenon_H147). % 0.57/0.73 (* end of lemma zenon_L78_ *) % 0.57/0.73 assert (zenon_L79_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> (~(hskp3)) -> ((forall X50 : zenon_U, ((ndr1_0)->((~(c1_1 X50))\/((~(c2_1 X50))\/(~(c3_1 X50))))))\/((hskp31)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H154 zenon_H155 zenon_H146 zenon_H148 zenon_H11d zenon_H11e zenon_H12c zenon_H12d zenon_H12e zenon_H13e zenon_H141 zenon_H145 zenon_H7 zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.73 apply (zenon_L67_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H11b | zenon_intro zenon_H159 ]. % 0.57/0.73 apply (zenon_L76_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H7. zenon_intro zenon_H15a. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H14b. zenon_intro zenon_H15b. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.73 apply (zenon_L78_); trivial. % 0.57/0.73 apply (zenon_L75_); trivial. % 0.57/0.73 (* end of lemma zenon_L79_ *) % 0.57/0.73 assert (zenon_L80_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H31 zenon_H7 zenon_Hb5 zenon_H48 zenon_H4a zenon_H4b. % 0.57/0.73 generalize (zenon_H31 (a1089)). zenon_intro zenon_H15c. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H15c); [ zenon_intro zenon_H6 | zenon_intro zenon_H15d ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Heb | zenon_intro zenon_H15e ]. % 0.57/0.73 exact (zenon_Hb5 zenon_Heb). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H49 | zenon_intro zenon_H51 ]. % 0.57/0.73 apply (zenon_L20_); trivial. % 0.57/0.73 exact (zenon_H51 zenon_H4a). % 0.57/0.73 (* end of lemma zenon_L80_ *) % 0.57/0.73 assert (zenon_L81_ : ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H65 zenon_H59 zenon_H7 zenon_Hb5 zenon_H4a zenon_H4b zenon_H3b zenon_H3d. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H48 | zenon_intro zenon_H5a ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ]. % 0.57/0.73 apply (zenon_L80_); trivial. % 0.57/0.73 exact (zenon_H3b zenon_H3c). % 0.57/0.73 exact (zenon_H59 zenon_H5a). % 0.57/0.73 (* end of lemma zenon_L81_ *) % 0.57/0.73 assert (zenon_L82_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1113))) -> (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H6f zenon_H7 zenon_H7a zenon_Hee zenon_H7b zenon_H7c. % 0.57/0.73 generalize (zenon_H6f (a1113)). zenon_intro zenon_H15f. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H6 | zenon_intro zenon_H160 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H80 | zenon_intro zenon_H161 ]. % 0.57/0.73 exact (zenon_H7a zenon_H80). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H162 | zenon_intro zenon_H82 ]. % 0.57/0.73 generalize (zenon_Hee (a1113)). zenon_intro zenon_H163. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H163); [ zenon_intro zenon_H6 | zenon_intro zenon_H164 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H82 | zenon_intro zenon_H165 ]. % 0.57/0.73 exact (zenon_H82 zenon_H7b). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H81 | zenon_intro zenon_H166 ]. % 0.57/0.73 exact (zenon_H81 zenon_H7c). % 0.57/0.73 exact (zenon_H166 zenon_H162). % 0.57/0.73 exact (zenon_H82 zenon_H7b). % 0.57/0.73 (* end of lemma zenon_L82_ *) % 0.57/0.73 assert (zenon_L83_ : (~(hskp17)) -> (hskp17) -> False). % 0.57/0.73 do 0 intro. intros zenon_H167 zenon_H168. % 0.57/0.73 exact (zenon_H167 zenon_H168). % 0.57/0.73 (* end of lemma zenon_L83_ *) % 0.57/0.73 assert (zenon_L84_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (~(c3_1 (a1090))) -> (~(c0_1 (a1090))) -> (~(hskp17)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9f zenon_Hec zenon_H1b zenon_H1a zenon_H19 zenon_H169 zenon_H16a zenon_H16b zenon_H167 zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_Hb5 zenon_H4a zenon_H4b. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.73 apply (zenon_L9_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.57/0.73 generalize (zenon_Hde (a1090)). zenon_intro zenon_H16e. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H16e); [ zenon_intro zenon_H6 | zenon_intro zenon_H16f ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H171 | zenon_intro zenon_H170 ]. % 0.57/0.73 exact (zenon_H16b zenon_H171). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 0.57/0.73 generalize (zenon_H16d (a1090)). zenon_intro zenon_H174. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H174); [ zenon_intro zenon_H6 | zenon_intro zenon_H175 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H171 | zenon_intro zenon_H176 ]. % 0.57/0.73 exact (zenon_H16b zenon_H171). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H172 | zenon_intro zenon_H177 ]. % 0.57/0.73 exact (zenon_H16a zenon_H172). % 0.57/0.73 exact (zenon_H177 zenon_H173). % 0.57/0.73 exact (zenon_H16a zenon_H172). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hee | zenon_intro zenon_H168 ]. % 0.57/0.73 apply (zenon_L82_); trivial. % 0.57/0.73 exact (zenon_H167 zenon_H168). % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 apply (zenon_L53_); trivial. % 0.57/0.73 (* end of lemma zenon_L84_ *) % 0.57/0.73 assert (zenon_L85_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a1102))) -> (~(c2_1 (a1102))) -> (c3_1 (a1102)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H178 zenon_H7 zenon_H179 zenon_H17a zenon_H17b. % 0.57/0.73 generalize (zenon_H178 (a1102)). zenon_intro zenon_H17c. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H6 | zenon_intro zenon_H17d ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ]. % 0.57/0.73 exact (zenon_H179 zenon_H17f). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.57/0.73 exact (zenon_H17a zenon_H181). % 0.57/0.73 exact (zenon_H180 zenon_H17b). % 0.57/0.73 (* end of lemma zenon_L85_ *) % 0.57/0.73 assert (zenon_L86_ : ((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (~(hskp0)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H182 zenon_H183 zenon_H1b zenon_H1a zenon_H19 zenon_H1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H7. zenon_intro zenon_H184. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17b. zenon_intro zenon_H185. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H18 | zenon_intro zenon_H186 ]. % 0.57/0.73 apply (zenon_L9_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H178 | zenon_intro zenon_H2 ]. % 0.57/0.73 apply (zenon_L85_); trivial. % 0.57/0.73 exact (zenon_H1 zenon_H2). % 0.57/0.73 (* end of lemma zenon_L86_ *) % 0.57/0.73 assert (zenon_L87_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (ndr1_0) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c0_1 (a1090))) -> (~(c3_1 (a1090))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H187 zenon_H183 zenon_H1 zenon_H65 zenon_H7 zenon_Hb5 zenon_H4a zenon_H4b zenon_H3b zenon_H3d zenon_H19 zenon_H1a zenon_H1b zenon_H84 zenon_H16b zenon_H16a zenon_H169 zenon_Hb zenon_Ha zenon_H9 zenon_Hec zenon_Had. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H167 | zenon_intro zenon_H182 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L81_); trivial. % 0.57/0.73 apply (zenon_L84_); trivial. % 0.57/0.73 apply (zenon_L86_); trivial. % 0.57/0.73 (* end of lemma zenon_L87_ *) % 0.57/0.73 assert (zenon_L88_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a1089))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a1090))) -> (~(c0_1 (a1090))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Had zenon_Hec zenon_Hb5 zenon_H9 zenon_Ha zenon_Hb zenon_H169 zenon_H167 zenon_H16a zenon_H16b zenon_H84 zenon_H1b zenon_H1a zenon_H19 zenon_H65 zenon_H7 zenon_H3f zenon_H40 zenon_H41 zenon_H4a zenon_H4b zenon_H57 zenon_H68. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L27_); trivial. % 0.57/0.73 apply (zenon_L84_); trivial. % 0.57/0.73 (* end of lemma zenon_L88_ *) % 0.57/0.73 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> ((forall X50 : zenon_U, ((ndr1_0)->((~(c1_1 X50))\/((~(c2_1 X50))\/(~(c3_1 X50))))))\/((hskp31)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hb0 zenon_H188 zenon_Hb2 zenon_H68 zenon_H57 zenon_Had zenon_Hec zenon_H9 zenon_Ha zenon_Hb zenon_H169 zenon_H84 zenon_H1b zenon_H1a zenon_H19 zenon_H3d zenon_H65 zenon_H1 zenon_H183 zenon_H187 zenon_H10e zenon_H145 zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H11d zenon_H148 zenon_H146 zenon_H155 zenon_H154. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.73 apply (zenon_L79_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L87_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H167 | zenon_intro zenon_H182 ]. % 0.57/0.73 apply (zenon_L88_); trivial. % 0.57/0.73 apply (zenon_L86_); trivial. % 0.57/0.73 (* end of lemma zenon_L89_ *) % 0.57/0.73 assert (zenon_L90_ : (~(hskp11)) -> (hskp11) -> False). % 0.57/0.73 do 0 intro. intros zenon_H18d zenon_H18e. % 0.57/0.73 exact (zenon_H18d zenon_H18e). % 0.57/0.73 (* end of lemma zenon_L90_ *) % 0.57/0.73 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (~(hskp11)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd0 zenon_H18f zenon_H12e zenon_H12d zenon_H12c zenon_H18d. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H12b | zenon_intro zenon_H190 ]. % 0.57/0.73 apply (zenon_L72_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H52 | zenon_intro zenon_H18e ]. % 0.57/0.73 apply (zenon_L45_); trivial. % 0.57/0.73 exact (zenon_H18d zenon_H18e). % 0.57/0.73 (* end of lemma zenon_L91_ *) % 0.57/0.73 assert (zenon_L92_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd3 zenon_H18f zenon_H18d zenon_H12e zenon_H12d zenon_H12c zenon_H7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.73 apply (zenon_L44_); trivial. % 0.57/0.73 apply (zenon_L91_); trivial. % 0.57/0.73 (* end of lemma zenon_L92_ *) % 0.57/0.73 assert (zenon_L93_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (c2_1 (a1091)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H16d zenon_H7 zenon_H191 zenon_H192 zenon_H193. % 0.57/0.73 generalize (zenon_H16d (a1091)). zenon_intro zenon_H194. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_H6 | zenon_intro zenon_H195 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 0.57/0.73 exact (zenon_H191 zenon_H197). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.57/0.73 exact (zenon_H192 zenon_H199). % 0.57/0.73 exact (zenon_H198 zenon_H193). % 0.57/0.73 (* end of lemma zenon_L93_ *) % 0.57/0.73 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp17)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (c2_1 (a1091)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9f zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H167 zenon_H191 zenon_H192 zenon_H193 zenon_H169. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.57/0.73 apply (zenon_L93_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hee | zenon_intro zenon_H168 ]. % 0.57/0.73 apply (zenon_L82_); trivial. % 0.57/0.73 exact (zenon_H167 zenon_H168). % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 (* end of lemma zenon_L94_ *) % 0.57/0.73 assert (zenon_L95_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> (ndr1_0) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H19a zenon_Hb2 zenon_H187 zenon_H183 zenon_H1 zenon_H68 zenon_H65 zenon_H57 zenon_H9 zenon_Ha zenon_Hb zenon_H169 zenon_H84 zenon_Had zenon_H19 zenon_H1a zenon_H1b zenon_H3d zenon_Hf7 zenon_Hbb zenon_H2d zenon_Hbc zenon_Hbd zenon_Hbe zenon_H7 zenon_H12c zenon_H12d zenon_H12e zenon_H18f zenon_Hd3. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18d | zenon_intro zenon_H19b ]. % 0.57/0.73 apply (zenon_L92_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H193. zenon_intro zenon_H19d. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.73 apply (zenon_L58_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H167 | zenon_intro zenon_H182 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L48_); trivial. % 0.57/0.73 apply (zenon_L94_); trivial. % 0.57/0.73 apply (zenon_L86_); trivial. % 0.57/0.73 (* end of lemma zenon_L95_ *) % 0.57/0.73 assert (zenon_L96_ : ((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/((hskp0)\/(hskp2))) -> (~(hskp0)) -> (~(hskp2)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hd4 zenon_H19e zenon_H1 zenon_H24. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_H7. zenon_intro zenon_Hd7. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H33. zenon_intro zenon_Hd8. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H34. zenon_intro zenon_H32. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H31 | zenon_intro zenon_H19f ]. % 0.57/0.73 apply (zenon_L16_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H2 | zenon_intro zenon_H25 ]. % 0.57/0.73 exact (zenon_H1 zenon_H2). % 0.57/0.73 exact (zenon_H24 zenon_H25). % 0.57/0.73 (* end of lemma zenon_L96_ *) % 0.57/0.73 assert (zenon_L97_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H1a0 zenon_H7 zenon_H1a1 zenon_H1a2 zenon_H1a3. % 0.57/0.73 generalize (zenon_H1a0 (a1083)). zenon_intro zenon_H1a4. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H1a4); [ zenon_intro zenon_H6 | zenon_intro zenon_H1a5 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a6 ]. % 0.57/0.73 exact (zenon_H1a1 zenon_H1a7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a8 ]. % 0.57/0.73 exact (zenon_H1a2 zenon_H1a9). % 0.57/0.73 exact (zenon_H1a8 zenon_H1a3). % 0.57/0.73 (* end of lemma zenon_L97_ *) % 0.57/0.73 assert (zenon_L98_ : (~(hskp23)) -> (hskp23) -> False). % 0.57/0.73 do 0 intro. intros zenon_H1aa zenon_H1ab. % 0.57/0.73 exact (zenon_H1aa zenon_H1ab). % 0.57/0.73 (* end of lemma zenon_L98_ *) % 0.57/0.73 assert (zenon_L99_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp23)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> (~(c2_1 (a1114))) -> (~(c1_1 (a1114))) -> (c0_1 (a1114)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H1aa zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H8b zenon_H8d zenon_H8e zenon_H1ac zenon_H7 zenon_H7a zenon_H7b zenon_H7c. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H8c | zenon_intro zenon_H1ad ]. % 0.57/0.73 apply (zenon_L35_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1ab ]. % 0.57/0.73 apply (zenon_L97_); trivial. % 0.57/0.73 exact (zenon_H1aa zenon_H1ab). % 0.57/0.73 apply (zenon_L32_); trivial. % 0.57/0.73 (* end of lemma zenon_L99_ *) % 0.57/0.73 assert (zenon_L100_ : (forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75)))))) -> (ndr1_0) -> (~(c3_1 (a1122))) -> (c0_1 (a1122)) -> (c2_1 (a1122)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H122 zenon_H7 zenon_H1ae zenon_H1af zenon_H1b0. % 0.57/0.73 generalize (zenon_H122 (a1122)). zenon_intro zenon_H1b1. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H1b1); [ zenon_intro zenon_H6 | zenon_intro zenon_H1b2 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.57/0.73 exact (zenon_H1ae zenon_H1b4). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 0.57/0.73 exact (zenon_H1b6 zenon_H1af). % 0.57/0.73 exact (zenon_H1b5 zenon_H1b0). % 0.57/0.73 (* end of lemma zenon_L100_ *) % 0.57/0.73 assert (zenon_L101_ : ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1122)) -> (c0_1 (a1122)) -> (~(c3_1 (a1122))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H11e zenon_H1b0 zenon_H1af zenon_H1ae zenon_H112 zenon_H111 zenon_H110 zenon_H7 zenon_H119. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.57/0.73 apply (zenon_L100_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H10f | zenon_intro zenon_H11a ]. % 0.57/0.73 apply (zenon_L68_); trivial. % 0.57/0.73 exact (zenon_H119 zenon_H11a). % 0.57/0.73 (* end of lemma zenon_L101_ *) % 0.57/0.73 assert (zenon_L102_ : ((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H1b7 zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H110 zenon_H111 zenon_H112 zenon_H11e. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H7. zenon_intro zenon_H1b8. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1af. zenon_intro zenon_H1b9. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.73 apply (zenon_L101_); trivial. % 0.57/0.73 apply (zenon_L75_); trivial. % 0.57/0.73 (* end of lemma zenon_L102_ *) % 0.57/0.73 assert (zenon_L103_ : ((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (c0_1 (a1114)) -> (~(c1_1 (a1114))) -> (~(c2_1 (a1114))) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H156 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H9 zenon_Ha zenon_Hb zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H8e zenon_H8d zenon_H8b zenon_H7a zenon_H7b zenon_H7c zenon_H84. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.73 apply (zenon_L99_); trivial. % 0.57/0.73 apply (zenon_L102_); trivial. % 0.57/0.73 (* end of lemma zenon_L103_ *) % 0.57/0.73 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H9f zenon_Ha0 zenon_H154 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.73 apply (zenon_L34_); trivial. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.73 apply (zenon_L67_); trivial. % 0.57/0.73 apply (zenon_L103_); trivial. % 0.57/0.73 (* end of lemma zenon_L104_ *) % 0.57/0.73 assert (zenon_L105_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c1_1 (a1089))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hac zenon_Had zenon_Ha0 zenon_H154 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hb5 zenon_H10e zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_H65 zenon_H4a zenon_H4b zenon_H57 zenon_H68. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.73 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.73 apply (zenon_L27_); trivial. % 0.57/0.73 apply (zenon_L104_); trivial. % 0.57/0.73 (* end of lemma zenon_L105_ *) % 0.57/0.73 assert (zenon_L106_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c3_1 (a1095)) -> (~(c2_1 (a1095))) -> (~(c1_1 (a1095))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H1ac zenon_Ha5 zenon_Ha4 zenon_Ha3 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H7 zenon_H1aa. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H8c | zenon_intro zenon_H1ad ]. % 0.57/0.73 apply (zenon_L39_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1ab ]. % 0.57/0.73 apply (zenon_L97_); trivial. % 0.57/0.73 exact (zenon_H1aa zenon_H1ab). % 0.57/0.73 (* end of lemma zenon_L106_ *) % 0.57/0.73 assert (zenon_L107_ : ((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c1_1 (a1095))) -> (~(c2_1 (a1095))) -> (c3_1 (a1095)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H156 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_Ha3 zenon_Ha4 zenon_Ha5 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.73 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.73 apply (zenon_L106_); trivial. % 0.57/0.73 apply (zenon_L102_); trivial. % 0.57/0.73 (* end of lemma zenon_L107_ *) % 0.57/0.73 assert (zenon_L108_ : ((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> False). % 0.57/0.73 do 0 intro. intros zenon_Hb6 zenon_H154 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.73 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.73 apply (zenon_L67_); trivial. % 0.57/0.73 apply (zenon_L107_); trivial. % 0.57/0.73 (* end of lemma zenon_L108_ *) % 0.57/0.73 assert (zenon_L109_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c0_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c3_1 (a1090))) -> False). % 0.57/0.73 do 0 intro. intros zenon_H1bb zenon_H7 zenon_H16b zenon_H18c zenon_H16a. % 0.57/0.73 generalize (zenon_H1bb (a1090)). zenon_intro zenon_H1bc. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H6 | zenon_intro zenon_H1bd ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H171 | zenon_intro zenon_H1be ]. % 0.57/0.73 exact (zenon_H16b zenon_H171). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1bf | zenon_intro zenon_H172 ]. % 0.57/0.73 exact (zenon_H18c zenon_H1bf). % 0.57/0.73 exact (zenon_H16a zenon_H172). % 0.57/0.73 (* end of lemma zenon_L109_ *) % 0.57/0.73 assert (zenon_L110_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.73 do 0 intro. intros zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H3e zenon_H7 zenon_H7a zenon_H7b zenon_H7c. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.73 apply (zenon_L5_); trivial. % 0.57/0.73 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.73 generalize (zenon_H6f (a1113)). zenon_intro zenon_H15f. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H6 | zenon_intro zenon_H160 ]. % 0.57/0.73 exact (zenon_H6 zenon_H7). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H80 | zenon_intro zenon_H161 ]. % 0.57/0.73 exact (zenon_H7a zenon_H80). % 0.57/0.73 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H162 | zenon_intro zenon_H82 ]. % 0.57/0.73 generalize (zenon_H3e (a1113)). zenon_intro zenon_H1c0. % 0.57/0.73 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H6 | zenon_intro zenon_H1c1 ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H80 | zenon_intro zenon_H165 ]. % 0.57/0.74 exact (zenon_H7a zenon_H80). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H81 | zenon_intro zenon_H166 ]. % 0.57/0.74 exact (zenon_H81 zenon_H7c). % 0.57/0.74 exact (zenon_H166 zenon_H162). % 0.57/0.74 exact (zenon_H82 zenon_H7b). % 0.57/0.74 apply (zenon_L32_); trivial. % 0.57/0.74 (* end of lemma zenon_L110_ *) % 0.57/0.74 assert (zenon_L111_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c0_1 (a1090))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H9f zenon_H1c2 zenon_H16a zenon_H18c zenon_H16b zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H84 zenon_Hb zenon_Ha zenon_H9. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c3 ]. % 0.57/0.74 apply (zenon_L109_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H3e ]. % 0.57/0.74 apply (zenon_L97_); trivial. % 0.57/0.74 apply (zenon_L110_); trivial. % 0.57/0.74 (* end of lemma zenon_L111_ *) % 0.57/0.74 assert (zenon_L112_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c0_1 (a1090))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hac zenon_H1c2 zenon_H16a zenon_H18c zenon_H16b zenon_H1a3 zenon_H1a2 zenon_H1a1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c3 ]. % 0.57/0.74 apply (zenon_L109_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H3e ]. % 0.57/0.74 apply (zenon_L97_); trivial. % 0.57/0.74 apply (zenon_L19_); trivial. % 0.57/0.74 (* end of lemma zenon_L112_ *) % 0.57/0.74 assert (zenon_L113_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb0 zenon_H188 zenon_H1c2 zenon_Hb2 zenon_H57 zenon_H68 zenon_H65 zenon_H3d zenon_H88 zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H89 zenon_H10e zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac zenon_H11e zenon_H12c zenon_H12d zenon_H12e zenon_H141 zenon_H145 zenon_H1ba zenon_H154 zenon_Ha0 zenon_Had zenon_Hb1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.74 apply (zenon_L81_); trivial. % 0.57/0.74 apply (zenon_L104_); trivial. % 0.57/0.74 apply (zenon_L105_); trivial. % 0.57/0.74 apply (zenon_L108_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.74 apply (zenon_L81_); trivial. % 0.57/0.74 apply (zenon_L111_); trivial. % 0.57/0.74 apply (zenon_L112_); trivial. % 0.57/0.74 (* end of lemma zenon_L113_ *) % 0.57/0.74 assert (zenon_L114_ : (forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (~(c3_1 (a1091))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c0_1 (a1091))) -> (c2_1 (a1091)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H10f zenon_H7 zenon_H192 zenon_H1bb zenon_H191 zenon_H193. % 0.57/0.74 generalize (zenon_H10f (a1091)). zenon_intro zenon_H1c4. % 0.57/0.74 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_H6 | zenon_intro zenon_H1c5 ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H199 | zenon_intro zenon_H1c6 ]. % 0.57/0.74 exact (zenon_H192 zenon_H199). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H198 ]. % 0.57/0.74 generalize (zenon_H1bb (a1091)). zenon_intro zenon_H1c8. % 0.57/0.74 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1c9 ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H197 | zenon_intro zenon_H1ca ]. % 0.57/0.74 exact (zenon_H191 zenon_H197). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H199 ]. % 0.57/0.74 exact (zenon_H1c7 zenon_H1cb). % 0.57/0.74 exact (zenon_H192 zenon_H199). % 0.57/0.74 exact (zenon_H198 zenon_H193). % 0.57/0.74 (* end of lemma zenon_L114_ *) % 0.57/0.74 assert (zenon_L115_ : ((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1091)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H1b7 zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H193 zenon_H191 zenon_H192 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H3f zenon_H40 zenon_H41 zenon_H1c2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H7. zenon_intro zenon_H1b8. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1af. zenon_intro zenon_H1b9. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c3 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.57/0.74 apply (zenon_L100_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H10f | zenon_intro zenon_H11a ]. % 0.57/0.74 apply (zenon_L114_); trivial. % 0.57/0.74 exact (zenon_H119 zenon_H11a). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H3e ]. % 0.57/0.74 apply (zenon_L97_); trivial. % 0.57/0.74 apply (zenon_L19_); trivial. % 0.57/0.74 apply (zenon_L75_); trivial. % 0.57/0.74 (* end of lemma zenon_L115_ *) % 0.57/0.74 assert (zenon_L116_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1091)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hac zenon_Had zenon_Ha0 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H193 zenon_H191 zenon_H192 zenon_H1c2 zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_Hd3 zenon_H57 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb zenon_H65 zenon_H68. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.74 apply (zenon_L48_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.74 apply (zenon_L34_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.74 apply (zenon_L99_); trivial. % 0.57/0.74 apply (zenon_L115_); trivial. % 0.57/0.74 (* end of lemma zenon_L116_ *) % 0.57/0.74 assert (zenon_L117_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1091)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> (ndr1_0) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb2 zenon_Had zenon_Ha0 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H193 zenon_H191 zenon_H192 zenon_H1c2 zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_H57 zenon_H65 zenon_H68 zenon_Hbb zenon_H2d zenon_Hbc zenon_Hbd zenon_Hbe zenon_H7 zenon_H19 zenon_H1a zenon_H1b zenon_H3d zenon_Hf7 zenon_Hd3. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L58_); trivial. % 0.57/0.74 apply (zenon_L116_); trivial. % 0.57/0.74 (* end of lemma zenon_L117_ *) % 0.57/0.74 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1091)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c1_1 (a1095))) -> (~(c2_1 (a1095))) -> (c3_1 (a1095)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hac zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H193 zenon_H191 zenon_H192 zenon_H1c2 zenon_Ha3 zenon_Ha4 zenon_Ha5 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.74 apply (zenon_L106_); trivial. % 0.57/0.74 apply (zenon_L115_); trivial. % 0.57/0.74 (* end of lemma zenon_L118_ *) % 0.57/0.74 assert (zenon_L119_ : ((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H189 zenon_Hb2 zenon_H1c2 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hbb zenon_H2d zenon_Hbc zenon_Hbd zenon_Hbe zenon_H19 zenon_H1a zenon_H1b zenon_H3d zenon_Hf7 zenon_Hd3. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L58_); trivial. % 0.57/0.74 apply (zenon_L112_); trivial. % 0.57/0.74 (* end of lemma zenon_L119_ *) % 0.57/0.74 assert (zenon_L120_ : ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H188 zenon_Hd3 zenon_H18f zenon_H12e zenon_H12d zenon_H12c zenon_H7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb zenon_Hb2 zenon_Had zenon_Ha0 zenon_H1ba zenon_H145 zenon_H141 zenon_H11e zenon_H1c2 zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H89 zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_H57 zenon_H65 zenon_H68 zenon_H19 zenon_H1a zenon_H1b zenon_H3d zenon_Hf7 zenon_Hb1 zenon_H19a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18d | zenon_intro zenon_H19b ]. % 0.57/0.74 apply (zenon_L92_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H193. zenon_intro zenon_H19d. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.74 apply (zenon_L117_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L58_); trivial. % 0.57/0.74 apply (zenon_L118_); trivial. % 0.57/0.74 apply (zenon_L119_); trivial. % 0.57/0.74 (* end of lemma zenon_L120_ *) % 0.57/0.74 assert (zenon_L121_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c1_1 (a1089))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> (ndr1_0) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb2 zenon_Had zenon_Ha0 zenon_H154 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hb5 zenon_H10e zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_H65 zenon_H4a zenon_H4b zenon_H57 zenon_H68 zenon_H7 zenon_H32 zenon_H33 zenon_H34 zenon_H3d. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L18_); trivial. % 0.57/0.74 apply (zenon_L105_); trivial. % 0.57/0.74 (* end of lemma zenon_L121_ *) % 0.57/0.74 assert (zenon_L122_ : ((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H189 zenon_Hb2 zenon_H1c2 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H32 zenon_H33 zenon_H34 zenon_H3d. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L18_); trivial. % 0.57/0.74 apply (zenon_L112_); trivial. % 0.57/0.74 (* end of lemma zenon_L122_ *) % 0.57/0.74 assert (zenon_L123_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb0 zenon_H188 zenon_H1c2 zenon_Hb2 zenon_Had zenon_Ha0 zenon_H154 zenon_H1ba zenon_H145 zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H10e zenon_H89 zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_H65 zenon_H57 zenon_H68 zenon_H32 zenon_H33 zenon_H34 zenon_H3d zenon_Hb1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.74 apply (zenon_L121_); trivial. % 0.57/0.74 apply (zenon_L108_); trivial. % 0.57/0.74 apply (zenon_L122_); trivial. % 0.57/0.74 (* end of lemma zenon_L123_ *) % 0.57/0.74 assert (zenon_L124_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1091)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> (ndr1_0) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb2 zenon_Had zenon_Ha0 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H193 zenon_H191 zenon_H192 zenon_H1c2 zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88 zenon_Hd3 zenon_H57 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb zenon_H65 zenon_H68 zenon_H7 zenon_H32 zenon_H33 zenon_H34 zenon_H3d. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L18_); trivial. % 0.57/0.74 apply (zenon_L116_); trivial. % 0.57/0.74 (* end of lemma zenon_L124_ *) % 0.57/0.74 assert (zenon_L125_ : ((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1091)) -> (~(c0_1 (a1091))) -> (~(c3_1 (a1091))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (~(c1_1 (a1086))) -> (c0_1 (a1086)) -> (c2_1 (a1086)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb6 zenon_Hb2 zenon_H1ba zenon_H145 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_H11e zenon_H193 zenon_H191 zenon_H192 zenon_H1c2 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac zenon_H32 zenon_H33 zenon_H34 zenon_H3d. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L18_); trivial. % 0.57/0.74 apply (zenon_L118_); trivial. % 0.57/0.74 (* end of lemma zenon_L125_ *) % 0.57/0.74 assert (zenon_L126_ : ((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hd4 zenon_Hd5 zenon_H19a zenon_Hbb zenon_H18f zenon_Hd3 zenon_H2f zenon_Hb zenon_Ha zenon_H9 zenon_Hb1 zenon_H3d zenon_H68 zenon_H57 zenon_H65 zenon_H88 zenon_H84 zenon_H89 zenon_H10e zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac zenon_H11e zenon_H12c zenon_H12d zenon_H12e zenon_H141 zenon_H145 zenon_H1ba zenon_H154 zenon_Ha0 zenon_Had zenon_Hb2 zenon_H1c2 zenon_H188 zenon_Hd6. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_H7. zenon_intro zenon_Hd7. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H33. zenon_intro zenon_Hd8. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H34. zenon_intro zenon_H32. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.74 apply (zenon_L15_); trivial. % 0.57/0.74 apply (zenon_L123_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18d | zenon_intro zenon_H19b ]. % 0.57/0.74 apply (zenon_L92_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H193. zenon_intro zenon_H19d. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.74 apply (zenon_L124_); trivial. % 0.57/0.74 apply (zenon_L125_); trivial. % 0.57/0.74 apply (zenon_L122_); trivial. % 0.57/0.74 apply (zenon_L123_); trivial. % 0.57/0.74 (* end of lemma zenon_L126_ *) % 0.57/0.74 assert (zenon_L127_ : ((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/((hskp20)\/(hskp3))) -> (~(hskp20)) -> (~(hskp3)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H64 zenon_H1cc zenon_H69 zenon_H146. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H7. zenon_intro zenon_H66. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5c. zenon_intro zenon_H67. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5d. zenon_intro zenon_H5b. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H48 | zenon_intro zenon_H1cd ]. % 0.57/0.74 apply (zenon_L25_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H6a | zenon_intro zenon_H147 ]. % 0.57/0.74 exact (zenon_H69 zenon_H6a). % 0.57/0.74 exact (zenon_H146 zenon_H147). % 0.57/0.74 (* end of lemma zenon_L127_ *) % 0.57/0.74 assert (zenon_L128_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H18 zenon_H7 zenon_Hdf zenon_H1a0 zenon_He0 zenon_He1. % 0.57/0.74 generalize (zenon_H18 (a1082)). zenon_intro zenon_H1ce. % 0.57/0.74 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H6 | zenon_intro zenon_H1cf ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He5 | zenon_intro zenon_H1d0 ]. % 0.57/0.74 exact (zenon_Hdf zenon_He5). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d1 | zenon_intro zenon_He7 ]. % 0.57/0.74 generalize (zenon_H1a0 (a1082)). zenon_intro zenon_H1d2. % 0.57/0.74 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d3 ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_He7 | zenon_intro zenon_H1d4 ]. % 0.57/0.74 exact (zenon_He0 zenon_He7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_He6 | zenon_intro zenon_H1d5 ]. % 0.57/0.74 exact (zenon_He1 zenon_He6). % 0.57/0.74 exact (zenon_H1d5 zenon_H1d1). % 0.57/0.74 exact (zenon_He0 zenon_He7). % 0.57/0.74 (* end of lemma zenon_L128_ *) % 0.57/0.74 assert (zenon_L129_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp23)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1114))) -> (~(c1_1 (a1114))) -> (c0_1 (a1114)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H84 zenon_Hb zenon_Ha zenon_H9 zenon_H1aa zenon_H18 zenon_Hdf zenon_He0 zenon_He1 zenon_H8b zenon_H8d zenon_H8e zenon_H1ac zenon_H7 zenon_H7a zenon_H7b zenon_H7c. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H8 | zenon_intro zenon_H87 ]. % 0.57/0.74 apply (zenon_L5_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H6f | zenon_intro zenon_H79 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H8c | zenon_intro zenon_H1ad ]. % 0.57/0.74 apply (zenon_L35_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1ab ]. % 0.57/0.74 apply (zenon_L128_); trivial. % 0.57/0.74 exact (zenon_H1aa zenon_H1ab). % 0.57/0.74 apply (zenon_L32_); trivial. % 0.57/0.74 (* end of lemma zenon_L129_ *) % 0.57/0.74 assert (zenon_L130_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c0_1 (a1090))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H1c2 zenon_H16a zenon_H18c zenon_H16b zenon_He1 zenon_He0 zenon_Hdf zenon_H18 zenon_H7 zenon_H3f zenon_H40 zenon_H41. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c3 ]. % 0.57/0.74 apply (zenon_L109_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H3e ]. % 0.57/0.74 apply (zenon_L128_); trivial. % 0.57/0.74 apply (zenon_L19_); trivial. % 0.57/0.74 (* end of lemma zenon_L130_ *) % 0.57/0.74 assert (zenon_L131_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (c2_1 (a1086)) -> (c0_1 (a1086)) -> (~(c1_1 (a1086))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp3)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/((hskp20)\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hb0 zenon_H188 zenon_H1c2 zenon_H3d zenon_H34 zenon_H33 zenon_H32 zenon_H68 zenon_H57 zenon_H65 zenon_H146 zenon_H1cc zenon_H10e zenon_Hec zenon_H9 zenon_Ha zenon_Hb zenon_H1ac zenon_He1 zenon_He0 zenon_Hdf zenon_H84 zenon_H11e zenon_H12c zenon_H12d zenon_H12e zenon_H141 zenon_H145 zenon_H1ba zenon_H154 zenon_Ha0 zenon_Had zenon_Hb2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L18_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.74 apply (zenon_L27_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H48 | zenon_intro zenon_H1cd ]. % 0.57/0.74 apply (zenon_L23_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H6a | zenon_intro zenon_H147 ]. % 0.57/0.74 exact (zenon_H69 zenon_H6a). % 0.57/0.74 exact (zenon_H146 zenon_H147). % 0.57/0.74 apply (zenon_L127_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.74 apply (zenon_L67_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.74 apply (zenon_L129_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.74 apply (zenon_L52_); trivial. % 0.57/0.74 apply (zenon_L53_); trivial. % 0.57/0.74 apply (zenon_L102_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.74 apply (zenon_L18_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.74 apply (zenon_L130_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.74 apply (zenon_L52_); trivial. % 0.57/0.74 apply (zenon_L53_); trivial. % 0.57/0.74 (* end of lemma zenon_L131_ *) % 0.57/0.74 assert (zenon_L132_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/((hskp20)\/(hskp3))) -> (~(hskp3)) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H68 zenon_H1cc zenon_H146 zenon_H69 zenon_Hbb zenon_H2d zenon_Hbc zenon_Hbd zenon_Hbe zenon_H7 zenon_H3f zenon_H40 zenon_H41 zenon_H57 zenon_Hd3. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.74 apply (zenon_L47_); trivial. % 0.57/0.74 apply (zenon_L127_); trivial. % 0.57/0.74 (* end of lemma zenon_L132_ *) % 0.57/0.74 assert (zenon_L133_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (c3_1 (a1092)) -> (c2_1 (a1092)) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))) -> (c0_1 (a1092)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_Hc9 zenon_Hc8 zenon_He8 zenon_Hc7 zenon_H7 zenon_H13e. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12b | zenon_intro zenon_H144 ]. % 0.57/0.74 apply (zenon_L72_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H101 | zenon_intro zenon_H13f ]. % 0.57/0.74 apply (zenon_L60_); trivial. % 0.57/0.74 exact (zenon_H13e zenon_H13f). % 0.57/0.74 (* end of lemma zenon_L133_ *) % 0.57/0.74 assert (zenon_L134_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (~(hskp23)) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (c0_1 (a1114)) -> (~(c1_1 (a1114))) -> (~(c2_1 (a1114))) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hd3 zenon_Hec zenon_H12c zenon_H12d zenon_H12e zenon_H13e zenon_H141 zenon_H9 zenon_Ha zenon_Hb zenon_H1ac zenon_H1aa zenon_He1 zenon_He0 zenon_Hdf zenon_H8e zenon_H8d zenon_H8b zenon_H7a zenon_H7b zenon_H7c zenon_H84 zenon_H7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.74 apply (zenon_L44_); trivial. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.74 apply (zenon_L129_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.74 apply (zenon_L52_); trivial. % 0.57/0.74 apply (zenon_L133_); trivial. % 0.57/0.74 (* end of lemma zenon_L134_ *) % 0.57/0.74 assert (zenon_L135_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a1146)) -> (c2_1 (a1146)) -> (~(c0_1 (a1146))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H10e zenon_H10c zenon_H5d zenon_H5c zenon_H5b zenon_H7 zenon_Hf9. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_He8 | zenon_intro zenon_H10d ]. % 0.57/0.74 apply (zenon_L59_); trivial. % 0.57/0.74 exact (zenon_H10c zenon_H10d). % 0.57/0.74 (* end of lemma zenon_L135_ *) % 0.57/0.74 assert (zenon_L136_ : (forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77)))))) -> (ndr1_0) -> (~(c3_1 (a1122))) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (c2_1 (a1122)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H10f zenon_H7 zenon_H1ae zenon_H1d6 zenon_H1b0. % 0.57/0.74 generalize (zenon_H10f (a1122)). zenon_intro zenon_H1d7. % 0.57/0.74 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H6 | zenon_intro zenon_H1d8 ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1d9 ]. % 0.57/0.74 exact (zenon_H1ae zenon_H1b4). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1da | zenon_intro zenon_H1b5 ]. % 0.57/0.74 generalize (zenon_H1d6 (a1122)). zenon_intro zenon_H1db. % 0.57/0.74 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_H6 | zenon_intro zenon_H1dc ]. % 0.57/0.74 exact (zenon_H6 zenon_H7). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 0.57/0.74 exact (zenon_H1da zenon_H1de). % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b5 ]. % 0.57/0.74 exact (zenon_H1ae zenon_H1b4). % 0.57/0.74 exact (zenon_H1b5 zenon_H1b0). % 0.57/0.74 exact (zenon_H1b5 zenon_H1b0). % 0.57/0.74 (* end of lemma zenon_L136_ *) % 0.57/0.74 assert (zenon_L137_ : ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c0_1 (a1122)) -> (c2_1 (a1122)) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (~(c3_1 (a1122))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H11e zenon_H1af zenon_H1b0 zenon_H1d6 zenon_H1ae zenon_H7 zenon_H119. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.57/0.74 apply (zenon_L100_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H10f | zenon_intro zenon_H11a ]. % 0.57/0.74 apply (zenon_L136_); trivial. % 0.57/0.74 exact (zenon_H119 zenon_H11a). % 0.57/0.74 (* end of lemma zenon_L137_ *) % 0.57/0.74 assert (zenon_L138_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(hskp9))) -> (~(c0_1 (a1146))) -> (c2_1 (a1146)) -> (c3_1 (a1146)) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(hskp31)) -> (ndr1_0) -> (~(c3_1 (a1122))) -> (c2_1 (a1122)) -> (c0_1 (a1122)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(hskp9)) -> False). % 0.57/0.74 do 0 intro. intros zenon_H1df zenon_H5b zenon_H5c zenon_H5d zenon_H10c zenon_H10e zenon_H119 zenon_H7 zenon_H1ae zenon_H1b0 zenon_H1af zenon_H11e zenon_H2d. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H1e0 ]. % 0.57/0.74 apply (zenon_L135_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H2e ]. % 0.57/0.74 apply (zenon_L137_); trivial. % 0.57/0.74 exact (zenon_H2d zenon_H2e). % 0.57/0.74 (* end of lemma zenon_L138_ *) % 0.57/0.74 assert (zenon_L139_ : ((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1088)) -> (c0_1 (a1088)) -> (~(c2_1 (a1088))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (c1_1 (a1113)) -> (c0_1 (a1113)) -> (~(c2_1 (a1113))) -> (~(c2_1 (a1114))) -> (~(c1_1 (a1114))) -> (c0_1 (a1114)) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H156 zenon_H1ba zenon_H145 zenon_H11e zenon_Hbb zenon_H2d zenon_Hbc zenon_Hbd zenon_Hbe zenon_H84 zenon_H7c zenon_H7b zenon_H7a zenon_H8b zenon_H8d zenon_H8e zenon_Hdf zenon_He0 zenon_He1 zenon_H1ac zenon_Hb zenon_Ha zenon_H9 zenon_H141 zenon_H13e zenon_H12e zenon_H12d zenon_H12c zenon_Hec zenon_Hd3. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.74 apply (zenon_L134_); trivial. % 0.57/0.74 apply (zenon_L102_); trivial. % 0.57/0.74 (* end of lemma zenon_L139_ *) % 0.57/0.74 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (~(c2_1 (a1097))) -> (~(c0_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c3_1 (a1090))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (c3_1 (a1146)) -> (c2_1 (a1146)) -> (~(c0_1 (a1146))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hd0 zenon_Hec zenon_H41 zenon_H40 zenon_H3f zenon_H16b zenon_H18c zenon_H16a zenon_H1c2 zenon_He1 zenon_He0 zenon_Hdf zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H5d zenon_H5c zenon_H5b. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.74 apply (zenon_L130_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.74 apply (zenon_L52_); trivial. % 0.57/0.74 apply (zenon_L61_); trivial. % 0.57/0.74 (* end of lemma zenon_L140_ *) % 0.57/0.74 assert (zenon_L141_ : ((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (~(hskp10)) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hd0 zenon_Hec zenon_H1b zenon_H1a zenon_H19 zenon_He1 zenon_He0 zenon_Hdf zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_H13e. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H18 | zenon_intro zenon_Hed ]. % 0.57/0.74 apply (zenon_L9_); trivial. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hde | zenon_intro zenon_He8 ]. % 0.57/0.74 apply (zenon_L52_); trivial. % 0.57/0.74 apply (zenon_L133_); trivial. % 0.57/0.74 (* end of lemma zenon_L141_ *) % 0.57/0.74 assert (zenon_L142_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (ndr1_0) -> (~(c2_1 (a1088))) -> (c0_1 (a1088)) -> (c3_1 (a1088)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hd3 zenon_Hec zenon_H12c zenon_H12d zenon_H12e zenon_H13e zenon_H141 zenon_He1 zenon_He0 zenon_Hdf zenon_H1b zenon_H1a zenon_H19 zenon_H7 zenon_Hbe zenon_Hbd zenon_Hbc zenon_H2d zenon_Hbb. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.74 apply (zenon_L44_); trivial. % 0.57/0.74 apply (zenon_L141_); trivial. % 0.57/0.74 (* end of lemma zenon_L142_ *) % 0.57/0.74 assert (zenon_L143_ : ((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_Hd9 zenon_Hd6 zenon_Hd3 zenon_Hec zenon_H12c zenon_H12d zenon_H12e zenon_H141 zenon_He1 zenon_He0 zenon_Hdf zenon_H1b zenon_H1a zenon_H19 zenon_Hbb zenon_Hf7 zenon_H3d zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1c2 zenon_Hb2 zenon_H188. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.74 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.74 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.74 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.74 apply (zenon_L142_); trivial. % 0.57/0.74 apply (zenon_L119_); trivial. % 0.57/0.74 apply (zenon_L54_); trivial. % 0.57/0.74 (* end of lemma zenon_L143_ *) % 0.57/0.74 assert (zenon_L144_ : ((ndr1_0)/\((c2_1 (a1085))/\((~(c0_1 (a1085)))/\(~(c1_1 (a1085)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087))))))) -> False). % 0.57/0.74 do 0 intro. intros zenon_H109 zenon_Hdc zenon_H19a zenon_H18f zenon_Hb1 zenon_H68 zenon_H57 zenon_H65 zenon_H88 zenon_H84 zenon_H89 zenon_H10e zenon_H1ac zenon_H11e zenon_H145 zenon_H1ba zenon_H154 zenon_Ha0 zenon_Had zenon_H16 zenon_Hd6 zenon_Hec zenon_He1 zenon_He0 zenon_Hdf zenon_H2f zenon_H188 zenon_Hb2 zenon_H1c2 zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H3d zenon_Hf7 zenon_Hbb zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_Hd3 zenon_Hd5 zenon_Hdd. % 0.57/0.74 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H14 | zenon_intro zenon_H26 ]. % 0.57/0.75 apply (zenon_L8_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H7. zenon_intro zenon_H28. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H19. zenon_intro zenon_H29. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.75 apply (zenon_L55_); trivial. % 0.57/0.75 apply (zenon_L143_); trivial. % 0.57/0.75 apply (zenon_L126_); trivial. % 0.57/0.75 (* end of lemma zenon_L144_ *) % 0.57/0.75 assert (zenon_L145_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1e1 zenon_H7 zenon_H1e2 zenon_H1e3 zenon_H1e4. % 0.57/0.75 generalize (zenon_H1e1 (a1080)). zenon_intro zenon_H1e5. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H6 | zenon_intro zenon_H1e6 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.57/0.75 exact (zenon_H1e2 zenon_H1e8). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ]. % 0.57/0.75 exact (zenon_H1e3 zenon_H1ea). % 0.57/0.75 exact (zenon_H1e9 zenon_H1e4). % 0.57/0.75 (* end of lemma zenon_L145_ *) % 0.57/0.75 assert (zenon_L146_ : (~(hskp15)) -> (hskp15) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1eb zenon_H1ec. % 0.57/0.75 exact (zenon_H1eb zenon_H1ec). % 0.57/0.75 (* end of lemma zenon_L146_ *) % 0.57/0.75 assert (zenon_L147_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H7 zenon_H3b zenon_H1eb. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1ee ]. % 0.57/0.75 apply (zenon_L145_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H3c | zenon_intro zenon_H1ec ]. % 0.57/0.75 exact (zenon_H3b zenon_H3c). % 0.57/0.75 exact (zenon_H1eb zenon_H1ec). % 0.57/0.75 (* end of lemma zenon_L147_ *) % 0.57/0.75 assert (zenon_L148_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a1098))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36)))))) -> (~(c3_1 (a1098))) -> (c2_1 (a1098)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H31 zenon_H7 zenon_H1ef zenon_H16d zenon_H1f0 zenon_H1f1. % 0.57/0.75 generalize (zenon_H31 (a1098)). zenon_intro zenon_H1f2. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H1f2); [ zenon_intro zenon_H6 | zenon_intro zenon_H1f3 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ]. % 0.57/0.75 exact (zenon_H1ef zenon_H1f5). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f6 ]. % 0.57/0.75 generalize (zenon_H16d (a1098)). zenon_intro zenon_H1f8. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H6 | zenon_intro zenon_H1f9 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 0.57/0.75 exact (zenon_H1f7 zenon_H1fb). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1f6 ]. % 0.57/0.75 exact (zenon_H1f0 zenon_H1fc). % 0.57/0.75 exact (zenon_H1f6 zenon_H1f1). % 0.57/0.75 exact (zenon_H1f6 zenon_H1f1). % 0.57/0.75 (* end of lemma zenon_L148_ *) % 0.57/0.75 assert (zenon_L149_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36)))))) -> (~(c1_1 (a1098))) -> (ndr1_0) -> False). % 0.57/0.75 do 0 intro. intros zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H16d zenon_H1ef zenon_H7. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ]. % 0.57/0.75 apply (zenon_L148_); trivial. % 0.57/0.75 exact (zenon_H3b zenon_H3c). % 0.57/0.75 (* end of lemma zenon_L149_ *) % 0.57/0.75 assert (zenon_L150_ : (~(hskp18)) -> (hskp18) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1fd zenon_H1fe. % 0.57/0.75 exact (zenon_H1fd zenon_H1fe). % 0.57/0.75 (* end of lemma zenon_L150_ *) % 0.57/0.75 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (~(hskp5)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1ff zenon_H200 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H7. zenon_intro zenon_H201. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H203. zenon_intro zenon_H202. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H205. zenon_intro zenon_H204. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H206 ]. % 0.57/0.75 apply (zenon_L145_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H207 | zenon_intro zenon_H4 ]. % 0.57/0.75 generalize (zenon_H207 (a1103)). zenon_intro zenon_H208. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H208); [ zenon_intro zenon_H6 | zenon_intro zenon_H209 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ]. % 0.57/0.75 exact (zenon_H204 zenon_H20b). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ]. % 0.57/0.75 exact (zenon_H20d zenon_H203). % 0.57/0.75 exact (zenon_H20c zenon_H205). % 0.57/0.75 exact (zenon_H3 zenon_H4). % 0.57/0.75 (* end of lemma zenon_L151_ *) % 0.57/0.75 assert (zenon_L152_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H20e zenon_H20f zenon_H200 zenon_H3 zenon_H3d zenon_H210 zenon_H7 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H3b zenon_H1ed. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H211 ]. % 0.57/0.75 apply (zenon_L147_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H7. zenon_intro zenon_H212. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1f1. zenon_intro zenon_H213. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ef. zenon_intro zenon_H1f0. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H16d | zenon_intro zenon_H1fe ]. % 0.57/0.75 apply (zenon_L149_); trivial. % 0.57/0.75 exact (zenon_H1fd zenon_H1fe). % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L152_ *) % 0.57/0.75 assert (zenon_L153_ : ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43)))))) -> (~(c2_1 (a1097))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hbb zenon_H41 zenon_H40 zenon_H214 zenon_H3f zenon_H7 zenon_Hb9 zenon_H2d. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.57/0.75 generalize (zenon_Hc0 (a1097)). zenon_intro zenon_H215. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H6 | zenon_intro zenon_H216 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H45 | zenon_intro zenon_H217 ]. % 0.57/0.75 exact (zenon_H3f zenon_H45). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H218 | zenon_intro zenon_H46 ]. % 0.57/0.75 generalize (zenon_H214 (a1097)). zenon_intro zenon_H219. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H6 | zenon_intro zenon_H21a ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21b | zenon_intro zenon_H44 ]. % 0.57/0.75 exact (zenon_H218 zenon_H21b). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.57/0.75 exact (zenon_H47 zenon_H40). % 0.57/0.75 exact (zenon_H46 zenon_H41). % 0.57/0.75 exact (zenon_H46 zenon_H41). % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hba | zenon_intro zenon_H2e ]. % 0.57/0.75 exact (zenon_Hb9 zenon_Hba). % 0.57/0.75 exact (zenon_H2d zenon_H2e). % 0.57/0.75 (* end of lemma zenon_L153_ *) % 0.57/0.75 assert (zenon_L154_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a1092)) -> (c2_1 (a1092)) -> (c0_1 (a1092)) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H10e zenon_H10c zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H7 zenon_H101. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_He8 | zenon_intro zenon_H10d ]. % 0.57/0.75 apply (zenon_L60_); trivial. % 0.57/0.75 exact (zenon_H10c zenon_H10d). % 0.57/0.75 (* end of lemma zenon_L154_ *) % 0.57/0.75 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp5)\/(hskp13))) -> (~(hskp21)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(hskp5)) -> (~(hskp13)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hd0 zenon_H21c zenon_H10c zenon_H10e zenon_H3 zenon_H6d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H7. zenon_intro zenon_Hd1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc7. zenon_intro zenon_Hd2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc8. zenon_intro zenon_Hc9. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H101 | zenon_intro zenon_H21d ]. % 0.57/0.75 apply (zenon_L154_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H4 | zenon_intro zenon_H6e ]. % 0.57/0.75 exact (zenon_H3 zenon_H4). % 0.57/0.75 exact (zenon_H6d zenon_H6e). % 0.57/0.75 (* end of lemma zenon_L155_ *) % 0.57/0.75 assert (zenon_L156_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a1120))) -> (~(c3_1 (a1120))) -> (c2_1 (a1120)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H16d zenon_H7 zenon_H126 zenon_H110 zenon_H112. % 0.57/0.75 generalize (zenon_H16d (a1120)). zenon_intro zenon_H21e. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_H6 | zenon_intro zenon_H21f ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H12a | zenon_intro zenon_H220 ]. % 0.57/0.75 exact (zenon_H126 zenon_H12a). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 0.57/0.75 exact (zenon_H110 zenon_H116). % 0.57/0.75 exact (zenon_H117 zenon_H112). % 0.57/0.75 (* end of lemma zenon_L156_ *) % 0.57/0.75 assert (zenon_L157_ : (forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75)))))) -> (ndr1_0) -> (~(c3_1 (a1120))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36)))))) -> (c2_1 (a1120)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H122 zenon_H7 zenon_H110 zenon_H16d zenon_H112. % 0.57/0.75 generalize (zenon_H122 (a1120)). zenon_intro zenon_H123. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H123); [ zenon_intro zenon_H6 | zenon_intro zenon_H124 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H116 | zenon_intro zenon_H125 ]. % 0.57/0.75 exact (zenon_H110 zenon_H116). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H126 | zenon_intro zenon_H117 ]. % 0.57/0.75 apply (zenon_L156_); trivial. % 0.57/0.75 exact (zenon_H117 zenon_H112). % 0.57/0.75 (* end of lemma zenon_L157_ *) % 0.57/0.75 assert (zenon_L158_ : ((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> (~(hskp18)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H156 zenon_H210 zenon_H1fd zenon_H3 zenon_H221. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H16d | zenon_intro zenon_H1fe ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.57/0.75 generalize (zenon_H223 (a1120)). zenon_intro zenon_H224. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_H6 | zenon_intro zenon_H225 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H116 | zenon_intro zenon_H226 ]. % 0.57/0.75 exact (zenon_H110 zenon_H116). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H126 | zenon_intro zenon_H118 ]. % 0.57/0.75 apply (zenon_L156_); trivial. % 0.57/0.75 exact (zenon_H118 zenon_H111). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H122 | zenon_intro zenon_H4 ]. % 0.57/0.75 apply (zenon_L157_); trivial. % 0.57/0.75 exact (zenon_H3 zenon_H4). % 0.57/0.75 exact (zenon_H1fd zenon_H1fe). % 0.57/0.75 (* end of lemma zenon_L158_ *) % 0.57/0.75 assert (zenon_L159_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp5)\/(hskp13))) -> (~(hskp13)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp9)\/(hskp2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hac zenon_H20f zenon_H200 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_Hd3 zenon_H21c zenon_H6d zenon_H3 zenon_H10e zenon_Hbb zenon_H2d zenon_H24 zenon_H227 zenon_H221 zenon_H210 zenon_H154. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H214 | zenon_intro zenon_H228 ]. % 0.57/0.75 apply (zenon_L153_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H2e | zenon_intro zenon_H25 ]. % 0.57/0.75 exact (zenon_H2d zenon_H2e). % 0.57/0.75 exact (zenon_H24 zenon_H25). % 0.57/0.75 apply (zenon_L155_); trivial. % 0.57/0.75 apply (zenon_L158_); trivial. % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L159_ *) % 0.57/0.75 assert (zenon_L160_ : (~(hskp30)) -> (hskp30) -> False). % 0.57/0.75 do 0 intro. intros zenon_H229 zenon_H22a. % 0.57/0.75 exact (zenon_H229 zenon_H22a). % 0.57/0.75 (* end of lemma zenon_L160_ *) % 0.57/0.75 assert (zenon_L161_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> (~(hskp9)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp30)) -> (~(hskp18)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H22b zenon_H2d zenon_Hb9 zenon_H7 zenon_H3f zenon_H40 zenon_H41 zenon_Hbb zenon_H229 zenon_H1fd. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H214 | zenon_intro zenon_H22c ]. % 0.57/0.75 apply (zenon_L153_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22a | zenon_intro zenon_H1fe ]. % 0.57/0.75 exact (zenon_H229 zenon_H22a). % 0.57/0.75 exact (zenon_H1fd zenon_H1fe). % 0.57/0.75 (* end of lemma zenon_L161_ *) % 0.57/0.75 assert (zenon_L162_ : (forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (c0_1 (a1109)) -> (c3_1 (a1109)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hc0 zenon_H7 zenon_H52 zenon_H22d zenon_H22e. % 0.57/0.75 generalize (zenon_Hc0 (a1109)). zenon_intro zenon_H22f. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H6 | zenon_intro zenon_H230 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 0.57/0.75 generalize (zenon_H52 (a1109)). zenon_intro zenon_H233. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_H6 | zenon_intro zenon_H234 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.57/0.75 exact (zenon_H236 zenon_H22d). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.57/0.75 exact (zenon_H238 zenon_H232). % 0.57/0.75 exact (zenon_H237 zenon_H22e). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H236 | zenon_intro zenon_H237 ]. % 0.57/0.75 exact (zenon_H236 zenon_H22d). % 0.57/0.75 exact (zenon_H237 zenon_H22e). % 0.57/0.75 (* end of lemma zenon_L162_ *) % 0.57/0.75 assert (zenon_L163_ : ((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp26)) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H239 zenon_Hbb zenon_H55 zenon_H3f zenon_H40 zenon_H41 zenon_H57 zenon_Hb9 zenon_H2d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H7. zenon_intro zenon_H23a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H22d. zenon_intro zenon_H23b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23c. zenon_intro zenon_H22e. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H3e | zenon_intro zenon_H58 ]. % 0.57/0.75 apply (zenon_L19_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H52 | zenon_intro zenon_H56 ]. % 0.57/0.75 apply (zenon_L162_); trivial. % 0.57/0.75 exact (zenon_H55 zenon_H56). % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hba | zenon_intro zenon_H2e ]. % 0.57/0.75 exact (zenon_Hb9 zenon_Hba). % 0.57/0.75 exact (zenon_H2d zenon_H2e). % 0.57/0.75 (* end of lemma zenon_L163_ *) % 0.57/0.75 assert (zenon_L164_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a1097))) -> (c1_1 (a1097)) -> (c3_1 (a1097)) -> (~(hskp9)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> (~(hskp26)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hd3 zenon_H22b zenon_H1fd zenon_H7 zenon_H3f zenon_H40 zenon_H41 zenon_H2d zenon_Hbb zenon_H57 zenon_H55 zenon_H23d. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H229 | zenon_intro zenon_H239 ]. % 0.57/0.75 apply (zenon_L161_); trivial. % 0.57/0.75 apply (zenon_L163_); trivial. % 0.57/0.75 apply (zenon_L46_); trivial. % 0.57/0.75 (* end of lemma zenon_L164_ *) % 0.57/0.75 assert (zenon_L165_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1097)) -> (c1_1 (a1097)) -> (~(c2_1 (a1097))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H68 zenon_H65 zenon_H59 zenon_H23d zenon_H57 zenon_Hbb zenon_H2d zenon_H41 zenon_H40 zenon_H3f zenon_H7 zenon_H1fd zenon_H22b zenon_Hd3. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.75 apply (zenon_L164_); trivial. % 0.57/0.75 apply (zenon_L26_); trivial. % 0.57/0.75 (* end of lemma zenon_L165_ *) % 0.57/0.75 assert (zenon_L166_ : ((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hb6 zenon_Hb2 zenon_H68 zenon_H65 zenon_H23d zenon_H57 zenon_Hbb zenon_H2d zenon_H22b zenon_Hd3 zenon_H22 zenon_H9a zenon_Had zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H210 zenon_H3d zenon_H3 zenon_H200 zenon_H20f zenon_H20e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_L152_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_L165_); trivial. % 0.57/0.75 apply (zenon_L40_); trivial. % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L166_ *) % 0.57/0.75 assert (zenon_L167_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hb0 zenon_H20f zenon_H200 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H10e zenon_H221 zenon_H3 zenon_H210 zenon_H154. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_L158_); trivial. % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L167_ *) % 0.57/0.75 assert (zenon_L168_ : ((ndr1_0)/\((c2_1 (a1085))/\((~(c0_1 (a1085)))/\(~(c1_1 (a1085)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a1086))/\((c2_1 (a1086))/\(~(c1_1 (a1086))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a1088))/\((c3_1 (a1088))/\(~(c2_1 (a1088))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp8)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((hskp6)\/(hskp7))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp7))\/((ndr1_0)/\((~(c0_1 (a1087)))/\((~(c1_1 (a1087)))/\(~(c2_1 (a1087))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H109 zenon_Hdc zenon_Hd5 zenon_Hd3 zenon_Hbb zenon_H2f zenon_Hb2 zenon_Had zenon_Ha0 zenon_H9a zenon_H89 zenon_H84 zenon_H88 zenon_H65 zenon_H57 zenon_H68 zenon_H3d zenon_Hb1 zenon_Hd6 zenon_H16 zenon_H22 zenon_H24 zenon_H27 zenon_Hdd. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_L51_); trivial. % 0.57/0.75 (* end of lemma zenon_L168_ *) % 0.57/0.75 assert (zenon_L169_ : (~(hskp4)) -> (hskp4) -> False). % 0.57/0.75 do 0 intro. intros zenon_H23e zenon_H23f. % 0.57/0.75 exact (zenon_H23e zenon_H23f). % 0.57/0.75 (* end of lemma zenon_L169_ *) % 0.57/0.75 assert (zenon_L170_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp4)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hac zenon_H20f zenon_H200 zenon_H3 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H68 zenon_H65 zenon_H23d zenon_H57 zenon_Hbb zenon_H2d zenon_H22b zenon_Hd3 zenon_H23e zenon_H22 zenon_H240 zenon_Had. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_L165_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H79 | zenon_intro zenon_H241 ]. % 0.57/0.75 apply (zenon_L32_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H23f | zenon_intro zenon_H23 ]. % 0.57/0.75 exact (zenon_H23e zenon_H23f). % 0.57/0.75 exact (zenon_H22 zenon_H23). % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L170_ *) % 0.57/0.75 assert (zenon_L171_ : (~(hskp12)) -> (hskp12) -> False). % 0.57/0.75 do 0 intro. intros zenon_H242 zenon_H243. % 0.57/0.75 exact (zenon_H242 zenon_H243). % 0.57/0.75 (* end of lemma zenon_L171_ *) % 0.57/0.75 assert (zenon_L172_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp12)\/(hskp13))) -> (~(c3_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c0_1 (a1082))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H244 zenon_He1 zenon_He0 zenon_Hdf zenon_H7 zenon_H242 zenon_H6d. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hde | zenon_intro zenon_H245 ]. % 0.57/0.75 apply (zenon_L52_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H243 | zenon_intro zenon_H6e ]. % 0.57/0.75 exact (zenon_H242 zenon_H243). % 0.57/0.75 exact (zenon_H6d zenon_H6e). % 0.57/0.75 (* end of lemma zenon_L172_ *) % 0.57/0.75 assert (zenon_L173_ : ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> (ndr1_0) -> (~(c0_1 (a1082))) -> (~(c2_1 (a1082))) -> (~(c3_1 (a1082))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp12)\/(hskp13))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hb1 zenon_Hb2 zenon_H68 zenon_H65 zenon_H23d zenon_H57 zenon_Hbb zenon_H2d zenon_H22b zenon_Hd3 zenon_H22 zenon_H9a zenon_Had zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H210 zenon_H3d zenon_H3 zenon_H200 zenon_H20f zenon_H20e zenon_H7 zenon_Hdf zenon_He0 zenon_He1 zenon_H242 zenon_H244. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.75 apply (zenon_L172_); trivial. % 0.57/0.75 apply (zenon_L166_); trivial. % 0.57/0.75 (* end of lemma zenon_L173_ *) % 0.57/0.75 assert (zenon_L174_ : (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a1094))) -> (c0_1 (a1094)) -> (c1_1 (a1094)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H223 zenon_H7 zenon_H246 zenon_H247 zenon_H248. % 0.57/0.75 generalize (zenon_H223 (a1094)). zenon_intro zenon_H249. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H6 | zenon_intro zenon_H24a ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 0.57/0.75 exact (zenon_H246 zenon_H24c). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24e | zenon_intro zenon_H24d ]. % 0.57/0.75 exact (zenon_H24e zenon_H247). % 0.57/0.75 exact (zenon_H24d zenon_H248). % 0.57/0.75 (* end of lemma zenon_L174_ *) % 0.57/0.75 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a1094))/\((c1_1 (a1094))/\(~(c3_1 (a1094)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(c3_1 X47)))))\/((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp9))) -> (~(hskp5)) -> (~(c1_1 (a1084))) -> (~(c3_1 (a1084))) -> (c0_1 (a1084)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5))) -> (~(hskp9)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H24f zenon_H250 zenon_H3 zenon_H251 zenon_H252 zenon_H253 zenon_H221 zenon_H2d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H7. zenon_intro zenon_H254. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H247. zenon_intro zenon_H255. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_H248. zenon_intro zenon_H246. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H257 | zenon_intro zenon_H256 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.57/0.75 apply (zenon_L174_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H122 | zenon_intro zenon_H4 ]. % 0.57/0.75 generalize (zenon_H257 (a1084)). zenon_intro zenon_H258. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H6 | zenon_intro zenon_H259 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 0.57/0.75 exact (zenon_H251 zenon_H25b). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25d | zenon_intro zenon_H25c ]. % 0.57/0.75 generalize (zenon_H122 (a1084)). zenon_intro zenon_H25e. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H6 | zenon_intro zenon_H25f ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H25c | zenon_intro zenon_H260 ]. % 0.57/0.75 exact (zenon_H252 zenon_H25c). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ]. % 0.57/0.75 exact (zenon_H262 zenon_H253). % 0.57/0.75 exact (zenon_H261 zenon_H25d). % 0.57/0.75 exact (zenon_H252 zenon_H25c). % 0.57/0.75 exact (zenon_H3 zenon_H4). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H223 | zenon_intro zenon_H2e ]. % 0.57/0.75 apply (zenon_L174_); trivial. % 0.57/0.75 exact (zenon_H2d zenon_H2e). % 0.57/0.75 (* end of lemma zenon_L175_ *) % 0.57/0.75 assert (zenon_L176_ : ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (c3_1 (a1109)) -> (c0_1 (a1109)) -> (forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hbb zenon_H22e zenon_H22d zenon_H52 zenon_H7 zenon_Hb9 zenon_H2d. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.57/0.75 apply (zenon_L162_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_Hba | zenon_intro zenon_H2e ]. % 0.57/0.75 exact (zenon_Hb9 zenon_Hba). % 0.57/0.75 exact (zenon_H2d zenon_H2e). % 0.57/0.75 (* end of lemma zenon_L176_ *) % 0.57/0.75 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (~(hskp9)) -> (~(hskp28)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp11)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H239 zenon_H18f zenon_H12e zenon_H12d zenon_H12c zenon_H2d zenon_Hb9 zenon_Hbb zenon_H18d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H7. zenon_intro zenon_H23a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H22d. zenon_intro zenon_H23b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H23c. zenon_intro zenon_H22e. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H12b | zenon_intro zenon_H190 ]. % 0.57/0.75 apply (zenon_L72_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H52 | zenon_intro zenon_H18e ]. % 0.57/0.75 apply (zenon_L176_); trivial. % 0.57/0.75 exact (zenon_H18d zenon_H18e). % 0.57/0.75 (* end of lemma zenon_L177_ *) % 0.57/0.75 assert (zenon_L178_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp30)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H9f zenon_Hd3 zenon_H263 zenon_H2d zenon_H12c zenon_H12d zenon_H12e zenon_Hbb zenon_H18d zenon_H18f zenon_H23d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H229 | zenon_intro zenon_H239 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H79 | zenon_intro zenon_H264 ]. % 0.57/0.75 apply (zenon_L32_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H22a | zenon_intro zenon_H2e ]. % 0.57/0.75 exact (zenon_H229 zenon_H22a). % 0.57/0.75 exact (zenon_H2d zenon_H2e). % 0.57/0.75 apply (zenon_L177_); trivial. % 0.57/0.75 apply (zenon_L91_); trivial. % 0.57/0.75 (* end of lemma zenon_L178_ *) % 0.57/0.75 assert (zenon_L179_ : ((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp30)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hac zenon_H20f zenon_H200 zenon_H3 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H68 zenon_H65 zenon_H23d zenon_H18f zenon_H18d zenon_H12e zenon_H12d zenon_H12c zenon_Hbb zenon_H2d zenon_H22b zenon_H57 zenon_Hd3 zenon_H263 zenon_Had. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H229 | zenon_intro zenon_H239 ]. % 0.57/0.75 apply (zenon_L161_); trivial. % 0.57/0.75 apply (zenon_L177_); trivial. % 0.57/0.75 apply (zenon_L46_); trivial. % 0.57/0.75 apply (zenon_L26_); trivial. % 0.57/0.75 apply (zenon_L178_); trivial. % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L179_ *) % 0.57/0.75 assert (zenon_L180_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp30)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hb2 zenon_H68 zenon_H65 zenon_H23d zenon_H18f zenon_H18d zenon_H12e zenon_H12d zenon_H12c zenon_Hbb zenon_H2d zenon_H22b zenon_H57 zenon_Hd3 zenon_H263 zenon_Had zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H7 zenon_H210 zenon_H3d zenon_H3 zenon_H200 zenon_H20f zenon_H20e. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_L152_); trivial. % 0.57/0.75 apply (zenon_L179_); trivial. % 0.57/0.75 (* end of lemma zenon_L180_ *) % 0.57/0.75 assert (zenon_L181_ : ((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (~(hskp5)) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H19b zenon_H20f zenon_H200 zenon_H3 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H210. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H19b). zenon_intro zenon_H7. zenon_intro zenon_H19c. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_H193. zenon_intro zenon_H19d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H16d | zenon_intro zenon_H1fe ]. % 0.57/0.75 apply (zenon_L93_); trivial. % 0.57/0.75 exact (zenon_H1fd zenon_H1fe). % 0.57/0.75 apply (zenon_L151_); trivial. % 0.57/0.75 (* end of lemma zenon_L181_ *) % 0.57/0.75 assert (zenon_L182_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp30)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hd6 zenon_H10e zenon_H221 zenon_H154 zenon_Hb2 zenon_H68 zenon_H65 zenon_H23d zenon_H18f zenon_H12e zenon_H12d zenon_H12c zenon_Hbb zenon_H22b zenon_H57 zenon_Hd3 zenon_H263 zenon_Had zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H7 zenon_H210 zenon_H3d zenon_H3 zenon_H200 zenon_H20f zenon_H20e zenon_H19a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18d | zenon_intro zenon_H19b ]. % 0.57/0.75 apply (zenon_L180_); trivial. % 0.57/0.75 apply (zenon_L181_); trivial. % 0.57/0.75 apply (zenon_L167_); trivial. % 0.57/0.75 (* end of lemma zenon_L182_ *) % 0.57/0.75 assert (zenon_L183_ : ((~(hskp5))\/((ndr1_0)/\((c2_1 (a1085))/\((~(c0_1 (a1085)))/\(~(c1_1 (a1085))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1091))/\((~(c0_1 (a1091)))/\(~(c3_1 (a1091))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a1103))/\((c3_1 (a1103))/\(~(c1_1 (a1103))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/(hskp18)) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21))))))\/((hskp30)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1092))/\((c2_1 (a1092))/\(c3_1 (a1092)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((~(c1_1 X43))\/(~(c3_1 X43))))))\/((hskp30)\/(hskp18))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c2_1 X71)\/((~(c0_1 X71))\/(~(c3_1 X71))))))\/((hskp28)\/(hskp9))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp11))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1109))/\((c1_1 (a1109))/\(c3_1 (a1109)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H265 zenon_H266 zenon_H146 zenon_H19a zenon_H20e zenon_H20f zenon_H200 zenon_H3d zenon_H210 zenon_H7 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H1ed zenon_Had zenon_H263 zenon_Hd3 zenon_H57 zenon_H22b zenon_Hbb zenon_H12c zenon_H12d zenon_H12e zenon_H18f zenon_H23d zenon_H65 zenon_H68 zenon_Hb2 zenon_H154 zenon_H221 zenon_H10e zenon_Hd6. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L182_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H8 | zenon_intro zenon_H267 ]. % 0.57/0.75 apply (zenon_L5_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H147 ]. % 0.57/0.75 apply (zenon_L145_); trivial. % 0.57/0.75 exact (zenon_H146 zenon_H147). % 0.57/0.75 (* end of lemma zenon_L183_ *) % 0.57/0.75 assert (zenon_L184_ : (forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75)))))) -> (ndr1_0) -> (~(c3_1 (a1098))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c1_1 (a1098))) -> (c2_1 (a1098)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H122 zenon_H7 zenon_H1f0 zenon_H1bb zenon_H1ef zenon_H1f1. % 0.57/0.75 generalize (zenon_H122 (a1098)). zenon_intro zenon_H268. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H6 | zenon_intro zenon_H269 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1f4 ]. % 0.57/0.75 exact (zenon_H1f0 zenon_H1fc). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f6 ]. % 0.57/0.75 generalize (zenon_H1bb (a1098)). zenon_intro zenon_H26a. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H6 | zenon_intro zenon_H26b ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H1fb | zenon_intro zenon_H26c ]. % 0.57/0.75 exact (zenon_H1f7 zenon_H1fb). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1fc ]. % 0.57/0.75 exact (zenon_H1ef zenon_H1f5). % 0.57/0.75 exact (zenon_H1f0 zenon_H1fc). % 0.57/0.75 exact (zenon_H1f6 zenon_H1f1). % 0.57/0.75 (* end of lemma zenon_L184_ *) % 0.57/0.75 assert (zenon_L185_ : ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c2_1 (a1098)) -> (~(c1_1 (a1098))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a1098))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> (ndr1_0) -> (~(hskp31)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H11e zenon_H1f1 zenon_H1ef zenon_H1bb zenon_H1f0 zenon_H112 zenon_H111 zenon_H110 zenon_H7 zenon_H119. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.57/0.75 apply (zenon_L184_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H10f | zenon_intro zenon_H11a ]. % 0.57/0.75 apply (zenon_L68_); trivial. % 0.57/0.75 exact (zenon_H119 zenon_H11a). % 0.57/0.75 (* end of lemma zenon_L185_ *) % 0.57/0.75 assert (zenon_L186_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a1080))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H120 zenon_H7 zenon_H1e2 zenon_H3e zenon_H1e3 zenon_H1e4. % 0.57/0.75 generalize (zenon_H120 (a1080)). zenon_intro zenon_H26d. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H6 | zenon_intro zenon_H26e ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H26f ]. % 0.57/0.75 exact (zenon_H1e2 zenon_H1e8). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H1e9 ]. % 0.57/0.75 generalize (zenon_H3e (a1080)). zenon_intro zenon_H271. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H6 | zenon_intro zenon_H272 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1ea | zenon_intro zenon_H273 ]. % 0.57/0.75 exact (zenon_H1e3 zenon_H1ea). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H274 ]. % 0.57/0.75 exact (zenon_H1e9 zenon_H1e4). % 0.57/0.75 exact (zenon_H274 zenon_H270). % 0.57/0.75 exact (zenon_H1e9 zenon_H1e4). % 0.57/0.75 (* end of lemma zenon_L186_ *) % 0.57/0.75 assert (zenon_L187_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))) -> (~(c0_1 (a1080))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H11d zenon_H1e4 zenon_H1e3 zenon_H3e zenon_H1e2 zenon_H4b zenon_H4a zenon_Hb5 zenon_H7 zenon_H11b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.57/0.75 apply (zenon_L186_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_He8 | zenon_intro zenon_H11c ]. % 0.57/0.75 apply (zenon_L53_); trivial. % 0.57/0.75 exact (zenon_H11b zenon_H11c). % 0.57/0.75 (* end of lemma zenon_L187_ *) % 0.57/0.75 assert (zenon_L188_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp31)) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> (c2_1 (a1098)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1c2 zenon_H119 zenon_H110 zenon_H111 zenon_H112 zenon_H1f0 zenon_H1ef zenon_H1f1 zenon_H11e zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H11d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H4b zenon_H4a zenon_Hb5 zenon_H7 zenon_H11b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c3 ]. % 0.57/0.75 apply (zenon_L185_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H3e ]. % 0.57/0.75 apply (zenon_L97_); trivial. % 0.57/0.75 apply (zenon_L187_); trivial. % 0.57/0.75 (* end of lemma zenon_L188_ *) % 0.57/0.75 assert (zenon_L189_ : (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1101)) -> (c1_1 (a1101)) -> (c2_1 (a1101)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H101 zenon_H7 zenon_H275 zenon_H14b zenon_H14a. % 0.57/0.75 generalize (zenon_H101 (a1101)). zenon_intro zenon_H276. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H276); [ zenon_intro zenon_H6 | zenon_intro zenon_H277 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ]. % 0.57/0.75 exact (zenon_H279 zenon_H275). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H151 | zenon_intro zenon_H153 ]. % 0.57/0.75 exact (zenon_H151 zenon_H14b). % 0.57/0.75 exact (zenon_H153 zenon_H14a). % 0.57/0.75 (* end of lemma zenon_L189_ *) % 0.57/0.75 assert (zenon_L190_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a1101)) -> (c2_1 (a1101)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hf9 zenon_H7 zenon_H101 zenon_H14b zenon_H14a. % 0.57/0.75 generalize (zenon_Hf9 (a1101)). zenon_intro zenon_H27a. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H27a); [ zenon_intro zenon_H6 | zenon_intro zenon_H27b ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H278 ]. % 0.57/0.75 apply (zenon_L189_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H151 | zenon_intro zenon_H153 ]. % 0.57/0.75 exact (zenon_H151 zenon_H14b). % 0.57/0.75 exact (zenon_H153 zenon_H14a). % 0.57/0.75 (* end of lemma zenon_L190_ *) % 0.57/0.75 assert (zenon_L191_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> (c3_1 (a1081)) -> (~(c1_1 (a1081))) -> (~(c0_1 (a1081))) -> (c2_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (~(hskp10)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H141 zenon_H12e zenon_H12d zenon_H12c zenon_H14a zenon_H14b zenon_H7 zenon_Hf9 zenon_H13e. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12b | zenon_intro zenon_H144 ]. % 0.57/0.75 apply (zenon_L72_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H101 | zenon_intro zenon_H13f ]. % 0.57/0.75 apply (zenon_L190_); trivial. % 0.57/0.75 exact (zenon_H13e zenon_H13f). % 0.57/0.75 (* end of lemma zenon_L191_ *) % 0.57/0.75 assert (zenon_L192_ : ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> (c3_1 (a1101)) -> (c2_1 (a1101)) -> (c1_1 (a1101)) -> (forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> False). % 0.57/0.75 do 0 intro. intros zenon_H65 zenon_H59 zenon_H149 zenon_H14a zenon_H14b zenon_H101 zenon_H7. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H48 | zenon_intro zenon_H5a ]. % 0.57/0.75 generalize (zenon_H48 (a1101)). zenon_intro zenon_H27c. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H6 | zenon_intro zenon_H27d ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H275 | zenon_intro zenon_H150 ]. % 0.57/0.75 apply (zenon_L189_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.57/0.75 exact (zenon_H153 zenon_H14a). % 0.57/0.75 exact (zenon_H152 zenon_H149). % 0.57/0.75 exact (zenon_H59 zenon_H5a). % 0.57/0.75 (* end of lemma zenon_L192_ *) % 0.57/0.75 assert (zenon_L193_ : ((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp10)) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H159 zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H13e zenon_H12c zenon_H12d zenon_H12e zenon_H141 zenon_H65 zenon_H59. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H7. zenon_intro zenon_H15a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H14b. zenon_intro zenon_H15b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8 | zenon_intro zenon_H108 ]. % 0.57/0.75 apply (zenon_L5_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H101 ]. % 0.57/0.75 apply (zenon_L191_); trivial. % 0.57/0.75 apply (zenon_L192_); trivial. % 0.57/0.75 (* end of lemma zenon_L193_ *) % 0.57/0.75 assert (zenon_L194_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c0_1 (a1090))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1c2 zenon_H16a zenon_H18c zenon_H16b zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H11d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H4b zenon_H4a zenon_Hb5 zenon_H7 zenon_H11b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1c3 ]. % 0.57/0.75 apply (zenon_L109_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H3e ]. % 0.57/0.75 apply (zenon_L97_); trivial. % 0.57/0.75 apply (zenon_L187_); trivial. % 0.57/0.75 (* end of lemma zenon_L194_ *) % 0.57/0.75 assert (zenon_L195_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c0_1 (a1101))) -> (c1_1 (a1101)) -> (c2_1 (a1101)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hf9 zenon_H7 zenon_H279 zenon_H14b zenon_H14a. % 0.57/0.75 generalize (zenon_Hf9 (a1101)). zenon_intro zenon_H27a. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H27a); [ zenon_intro zenon_H6 | zenon_intro zenon_H27b ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H278 ]. % 0.57/0.75 exact (zenon_H279 zenon_H275). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H151 | zenon_intro zenon_H153 ]. % 0.57/0.75 exact (zenon_H151 zenon_H14b). % 0.57/0.75 exact (zenon_H153 zenon_H14a). % 0.57/0.75 (* end of lemma zenon_L195_ *) % 0.57/0.75 assert (zenon_L196_ : (forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (c1_1 (a1101)) -> (c2_1 (a1101)) -> (c3_1 (a1101)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hee zenon_H7 zenon_Hf9 zenon_H14b zenon_H14a zenon_H149. % 0.57/0.75 generalize (zenon_Hee (a1101)). zenon_intro zenon_H27e. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H27e); [ zenon_intro zenon_H6 | zenon_intro zenon_H27f ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H279 | zenon_intro zenon_H280 ]. % 0.57/0.75 apply (zenon_L195_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ]. % 0.57/0.75 exact (zenon_H151 zenon_H14b). % 0.57/0.75 exact (zenon_H152 zenon_H149). % 0.57/0.75 (* end of lemma zenon_L196_ *) % 0.57/0.75 assert (zenon_L197_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (~(c1_1 (a1098))) -> (~(c3_1 (a1098))) -> (c2_1 (a1098)) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (c3_1 (a1101)) -> (c2_1 (a1101)) -> (c1_1 (a1101)) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H169 zenon_H1ef zenon_H1f0 zenon_H1f1 zenon_H3b zenon_H3d zenon_H149 zenon_H14a zenon_H14b zenon_Hf9 zenon_H7 zenon_H167. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.57/0.75 apply (zenon_L149_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hee | zenon_intro zenon_H168 ]. % 0.57/0.75 apply (zenon_L196_); trivial. % 0.57/0.75 exact (zenon_H167 zenon_H168). % 0.57/0.75 (* end of lemma zenon_L197_ *) % 0.57/0.75 assert (zenon_L198_ : ((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp17)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H159 zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H167 zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H1ef zenon_H169 zenon_H65 zenon_H59. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H7. zenon_intro zenon_H15a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H14b. zenon_intro zenon_H15b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8 | zenon_intro zenon_H108 ]. % 0.57/0.75 apply (zenon_L5_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H101 ]. % 0.57/0.75 apply (zenon_L197_); trivial. % 0.57/0.75 apply (zenon_L192_); trivial. % 0.57/0.75 (* end of lemma zenon_L198_ *) % 0.57/0.75 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(hskp17)) -> (c1_1 (a1101)) -> (c2_1 (a1101)) -> (c3_1 (a1101)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H140 zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H167 zenon_H14b zenon_H14a zenon_H149 zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H1ef zenon_H169. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H7. zenon_intro zenon_H142. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H135. zenon_intro zenon_H143. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8 | zenon_intro zenon_H108 ]. % 0.57/0.75 apply (zenon_L5_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H101 ]. % 0.57/0.75 apply (zenon_L197_); trivial. % 0.57/0.75 apply (zenon_L73_); trivial. % 0.57/0.75 (* end of lemma zenon_L199_ *) % 0.57/0.75 assert (zenon_L200_ : ((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(c3_1 (a1122))) -> (c0_1 (a1122)) -> (c2_1 (a1122)) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H159 zenon_H145 zenon_H107 zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H1ef zenon_H167 zenon_H169 zenon_Hb zenon_Ha zenon_H9 zenon_H1ae zenon_H1af zenon_H1b0 zenon_H110 zenon_H111 zenon_H112 zenon_H11e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H7. zenon_intro zenon_H15a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H14b. zenon_intro zenon_H15b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.75 apply (zenon_L101_); trivial. % 0.57/0.75 apply (zenon_L199_); trivial. % 0.57/0.75 (* end of lemma zenon_L200_ *) % 0.57/0.75 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c3_1 (a1090))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1b7 zenon_H155 zenon_H145 zenon_H107 zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H1ef zenon_H167 zenon_H169 zenon_Hb zenon_Ha zenon_H9 zenon_H110 zenon_H111 zenon_H112 zenon_H11e zenon_H16b zenon_H18c zenon_H16a zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H11d zenon_H4b zenon_H4a zenon_Hb5 zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1c2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H7. zenon_intro zenon_H1b8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1af. zenon_intro zenon_H1b9. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H11b | zenon_intro zenon_H159 ]. % 0.57/0.75 apply (zenon_L194_); trivial. % 0.57/0.75 apply (zenon_L200_); trivial. % 0.57/0.75 (* end of lemma zenon_L201_ *) % 0.57/0.75 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c3_1 (a1090))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c2_1 (a1113))) -> (c0_1 (a1113)) -> (c1_1 (a1113)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H9c zenon_H154 zenon_H1ba zenon_H155 zenon_H145 zenon_H107 zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H1ef zenon_H167 zenon_H169 zenon_H11e zenon_H16b zenon_H18c zenon_H16a zenon_H11d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1c2 zenon_H9 zenon_Ha zenon_Hb zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H7a zenon_H7b zenon_H7c zenon_H84 zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.75 apply (zenon_L99_); trivial. % 0.57/0.75 apply (zenon_L201_); trivial. % 0.57/0.75 (* end of lemma zenon_L202_ *) % 0.57/0.75 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a1098)) -> (~(c3_1 (a1098))) -> (~(c1_1 (a1098))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c3_1 (a1090))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H9f zenon_Ha0 zenon_H154 zenon_H1ba zenon_H155 zenon_H145 zenon_H107 zenon_H3d zenon_H3b zenon_H1f1 zenon_H1f0 zenon_H1ef zenon_H167 zenon_H169 zenon_H11e zenon_H16b zenon_H18c zenon_H16a zenon_H11d zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H1c2 zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.75 apply (zenon_L34_); trivial. % 0.57/0.75 apply (zenon_L202_); trivial. % 0.57/0.75 (* end of lemma zenon_L203_ *) % 0.57/0.75 assert (zenon_L204_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c0_1 (a1090))) -> (ndr1_0) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a1098))) -> (~(c3_1 (a1098))) -> (c2_1 (a1098)) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Had zenon_Ha0 zenon_H154 zenon_H1ba zenon_H145 zenon_H11e zenon_H1ac zenon_H10e zenon_H89 zenon_H6d zenon_H84 zenon_H88 zenon_H1c2 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_Hb5 zenon_H4a zenon_H4b zenon_H11d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H16a zenon_H18c zenon_H16b zenon_H7 zenon_H9 zenon_Ha zenon_Hb zenon_H169 zenon_H167 zenon_H1ef zenon_H1f0 zenon_H1f1 zenon_H3b zenon_H3d zenon_H65 zenon_H107 zenon_H155. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H11b | zenon_intro zenon_H159 ]. % 0.57/0.75 apply (zenon_L194_); trivial. % 0.57/0.75 apply (zenon_L198_); trivial. % 0.57/0.75 apply (zenon_L203_); trivial. % 0.57/0.75 (* end of lemma zenon_L204_ *) % 0.57/0.75 assert (zenon_L205_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hf9 zenon_H7 zenon_H223 zenon_H110 zenon_H111 zenon_H112. % 0.57/0.75 generalize (zenon_Hf9 (a1120)). zenon_intro zenon_H281. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H6 | zenon_intro zenon_H282 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H12a | zenon_intro zenon_H115 ]. % 0.57/0.75 generalize (zenon_H223 (a1120)). zenon_intro zenon_H224. % 0.57/0.75 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_H6 | zenon_intro zenon_H225 ]. % 0.57/0.75 exact (zenon_H6 zenon_H7). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H116 | zenon_intro zenon_H226 ]. % 0.57/0.75 exact (zenon_H110 zenon_H116). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H126 | zenon_intro zenon_H118 ]. % 0.57/0.75 exact (zenon_H126 zenon_H12a). % 0.57/0.75 exact (zenon_H118 zenon_H111). % 0.57/0.75 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 0.57/0.75 exact (zenon_H118 zenon_H111). % 0.57/0.75 exact (zenon_H117 zenon_H112). % 0.57/0.75 (* end of lemma zenon_L205_ *) % 0.57/0.75 assert (zenon_L206_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> (c3_1 (a1101)) -> (c2_1 (a1101)) -> (c1_1 (a1101)) -> (ndr1_0) -> False). % 0.57/0.75 do 0 intro. intros zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H112 zenon_H111 zenon_H110 zenon_H223 zenon_H65 zenon_H59 zenon_H149 zenon_H14a zenon_H14b zenon_H7. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8 | zenon_intro zenon_H108 ]. % 0.57/0.75 apply (zenon_L5_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H101 ]. % 0.57/0.75 apply (zenon_L205_); trivial. % 0.57/0.75 apply (zenon_L192_); trivial. % 0.57/0.75 (* end of lemma zenon_L206_ *) % 0.57/0.75 assert (zenon_L207_ : ((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (c3_1 (a1102)) -> (~(c2_1 (a1102))) -> (~(c0_1 (a1102))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (~(hskp19)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H159 zenon_H283 zenon_H1b zenon_H1a zenon_H19 zenon_H17b zenon_H17a zenon_H179 zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H112 zenon_H111 zenon_H110 zenon_H65 zenon_H59. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H7. zenon_intro zenon_H15a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H14b. zenon_intro zenon_H15b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H18 | zenon_intro zenon_H284 ]. % 0.57/0.75 apply (zenon_L9_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H178 | zenon_intro zenon_H223 ]. % 0.57/0.75 apply (zenon_L85_); trivial. % 0.57/0.75 apply (zenon_L206_); trivial. % 0.57/0.75 (* end of lemma zenon_L207_ *) % 0.57/0.75 assert (zenon_L208_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> (forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (c0_1 (a1148)) -> (c1_1 (a1148)) -> (c2_1 (a1148)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H112 zenon_H111 zenon_H110 zenon_H223 zenon_H7 zenon_H135 zenon_H136 zenon_H137. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8 | zenon_intro zenon_H108 ]. % 0.57/0.75 apply (zenon_L5_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H101 ]. % 0.57/0.75 apply (zenon_L205_); trivial. % 0.57/0.75 apply (zenon_L73_); trivial. % 0.57/0.75 (* end of lemma zenon_L208_ *) % 0.57/0.75 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (c3_1 (a1102)) -> (~(c2_1 (a1102))) -> (~(c0_1 (a1102))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (c2_1 (a1120)) -> (c1_1 (a1120)) -> (~(c3_1 (a1120))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H140 zenon_H283 zenon_H1b zenon_H1a zenon_H19 zenon_H17b zenon_H17a zenon_H179 zenon_H107 zenon_Hb zenon_Ha zenon_H9 zenon_H112 zenon_H111 zenon_H110. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H7. zenon_intro zenon_H142. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H135. zenon_intro zenon_H143. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H18 | zenon_intro zenon_H284 ]. % 0.57/0.75 apply (zenon_L9_); trivial. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H178 | zenon_intro zenon_H223 ]. % 0.57/0.75 apply (zenon_L85_); trivial. % 0.57/0.75 apply (zenon_L208_); trivial. % 0.57/0.75 (* end of lemma zenon_L209_ *) % 0.57/0.75 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c3_1 (a1102)) -> (~(c2_1 (a1102))) -> (~(c0_1 (a1102))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> (~(c3_1 (a1120))) -> (c1_1 (a1120)) -> (c2_1 (a1120)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H1b7 zenon_H145 zenon_H283 zenon_H9 zenon_Ha zenon_Hb zenon_H107 zenon_H17b zenon_H17a zenon_H179 zenon_H1b zenon_H1a zenon_H19 zenon_H110 zenon_H111 zenon_H112 zenon_H11e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H7. zenon_intro zenon_H1b8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1af. zenon_intro zenon_H1b9. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.75 apply (zenon_L101_); trivial. % 0.57/0.75 apply (zenon_L209_); trivial. % 0.57/0.75 (* end of lemma zenon_L210_ *) % 0.57/0.75 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (c3_1 (a1102)) -> (~(c2_1 (a1102))) -> (~(c0_1 (a1102))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H9f zenon_Ha0 zenon_H154 zenon_H1ba zenon_H145 zenon_H283 zenon_H107 zenon_H17b zenon_H17a zenon_H179 zenon_H1b zenon_H1a zenon_H19 zenon_H11e zenon_H1ac zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e zenon_H89 zenon_H6d zenon_H9 zenon_Ha zenon_Hb zenon_H84 zenon_H88. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.75 apply (zenon_L34_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.75 apply (zenon_L99_); trivial. % 0.57/0.75 apply (zenon_L210_); trivial. % 0.57/0.75 (* end of lemma zenon_L211_ *) % 0.57/0.75 assert (zenon_L212_ : ((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c0_1 (a1090))) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H182 zenon_Had zenon_Ha0 zenon_H1ba zenon_H145 zenon_H11e zenon_H1ac zenon_H89 zenon_H6d zenon_H84 zenon_H88 zenon_H10e zenon_H4b zenon_H4a zenon_Hb5 zenon_H1c2 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H11d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H16a zenon_H18c zenon_H16b zenon_H19 zenon_H1a zenon_H1b zenon_H107 zenon_H65 zenon_Hb zenon_Ha zenon_H9 zenon_H283 zenon_H155 zenon_H154. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H7. zenon_intro zenon_H184. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17b. zenon_intro zenon_H185. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H11b | zenon_intro zenon_H159 ]. % 0.57/0.75 apply (zenon_L194_); trivial. % 0.57/0.75 apply (zenon_L207_); trivial. % 0.57/0.75 apply (zenon_L211_); trivial. % 0.57/0.75 (* end of lemma zenon_L212_ *) % 0.57/0.75 assert (zenon_L213_ : ((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> (~(c0_1 (a1085))) -> (~(c1_1 (a1085))) -> (c2_1 (a1085)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> (~(c2_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c0_1 (a1087))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c1_1 (a1095))) -> (~(c2_1 (a1095))) -> (c3_1 (a1095)) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> False). % 0.57/0.75 do 0 intro. intros zenon_H182 zenon_H154 zenon_H1ba zenon_H145 zenon_H283 zenon_H9 zenon_Ha zenon_Hb zenon_H107 zenon_H1b zenon_H1a zenon_H19 zenon_H11e zenon_Ha3 zenon_Ha4 zenon_Ha5 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H7. zenon_intro zenon_H184. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17b. zenon_intro zenon_H185. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.75 apply (zenon_L106_); trivial. % 0.57/0.75 apply (zenon_L210_); trivial. % 0.57/0.75 (* end of lemma zenon_L213_ *) % 0.57/0.75 assert (zenon_L214_ : ((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1090))) -> (~(c1_1 (a1090))) -> (~(c3_1 (a1090))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> (~(c1_1 (a1089))) -> (c2_1 (a1089)) -> (c3_1 (a1089)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hb6 zenon_Hb2 zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H154 zenon_H1ba zenon_H155 zenon_H145 zenon_H107 zenon_H3d zenon_H169 zenon_Hb zenon_Ha zenon_H9 zenon_H11e zenon_H16b zenon_H18c zenon_H16a zenon_H11d zenon_H1c2 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H1ac zenon_Hb5 zenon_H4a zenon_H4b zenon_H10e zenon_H19 zenon_H1a zenon_H1b zenon_H283 zenon_H187 zenon_H20e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H7. zenon_intro zenon_Hb7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha5. zenon_intro zenon_Hb8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H211 ]. % 0.57/0.75 apply (zenon_L147_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H7. zenon_intro zenon_H212. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1f1. zenon_intro zenon_H213. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ef. zenon_intro zenon_H1f0. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H167 | zenon_intro zenon_H182 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.75 apply (zenon_L106_); trivial. % 0.57/0.75 apply (zenon_L201_); trivial. % 0.57/0.75 apply (zenon_L213_); trivial. % 0.57/0.75 apply (zenon_L112_); trivial. % 0.57/0.75 (* end of lemma zenon_L214_ *) % 0.57/0.75 assert (zenon_L215_ : ((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090)))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102))))))) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> (~(c2_1 (a1083))) -> (~(c3_1 (a1083))) -> (c1_1 (a1083)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c3_1 (a1089)) -> (c2_1 (a1089)) -> (~(c1_1 (a1089))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> (~(c0_1 (a1080))) -> (~(c2_1 (a1080))) -> (c1_1 (a1080)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_H189 zenon_Hb1 zenon_H20e zenon_H187 zenon_H19 zenon_H1a zenon_H1b zenon_H283 zenon_H155 zenon_H107 zenon_H65 zenon_H3d zenon_H169 zenon_Hb zenon_Ha zenon_H9 zenon_H1a1 zenon_H1a2 zenon_H1a3 zenon_H11d zenon_H4b zenon_H4a zenon_Hb5 zenon_H1c2 zenon_H88 zenon_H84 zenon_H89 zenon_H10e zenon_H1ac zenon_H11e zenon_H145 zenon_H1ba zenon_H154 zenon_Ha0 zenon_Had zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H1ed zenon_Hb2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H211 ]. % 0.57/0.75 apply (zenon_L147_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H7. zenon_intro zenon_H212. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1f1. zenon_intro zenon_H213. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ef. zenon_intro zenon_H1f0. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H167 | zenon_intro zenon_H182 ]. % 0.57/0.75 apply (zenon_L204_); trivial. % 0.57/0.75 apply (zenon_L212_); trivial. % 0.57/0.75 apply (zenon_L112_); trivial. % 0.57/0.75 apply (zenon_L214_); trivial. % 0.57/0.75 (* end of lemma zenon_L215_ *) % 0.57/0.75 assert (zenon_L216_ : ((ndr1_0)/\((c2_1 (a1089))/\((c3_1 (a1089))/\(~(c1_1 (a1089)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a1090)))/\((~(c1_1 (a1090)))/\(~(c3_1 (a1090))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a1102))/\((~(c0_1 (a1102)))/\(~(c2_1 (a1102))))))) -> (~(c0_1 (a1087))) -> (~(c1_1 (a1087))) -> (~(c2_1 (a1087))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c3_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c0_1 X60))\/(~(c2_1 X60))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c2_1 X36))))))\/((forall X4 : zenon_U, ((ndr1_0)->((~(c0_1 X4))\/((~(c1_1 X4))\/(~(c3_1 X4))))))\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1097))/\((c3_1 (a1097))/\(~(c2_1 (a1097))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9))))))\/((forall X5 : zenon_U, ((ndr1_0)->((~(c0_1 X5))\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a1146))/\((c3_1 (a1146))/\(~(c0_1 (a1146))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c1_1 X11))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a1080)) -> (~(c2_1 (a1080))) -> (~(c0_1 (a1080))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a1120))/\((c2_1 (a1120))/\(~(c3_1 (a1120))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a1101))/\((c2_1 (a1101))/\(c3_1 (a1101)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((~(c1_1 X15))\/(~(c2_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((~(c2_1 X45))\/(~(c3_1 X45))))))\/(hskp19)) -> (c2_1 (a1085)) -> (~(c1_1 (a1085))) -> (~(c0_1 (a1085))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(c3_1 X7)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c1_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c3_1 X13)\/(~(c1_1 X13))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp29))) -> (c1_1 (a1083)) -> (~(c3_1 (a1083))) -> (~(c2_1 (a1083))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c3_1 X75)\/((~(c0_1 X75))\/(~(c2_1 X75))))))\/((forall X77 : zenon_U, ((ndr1_0)->((c3_1 X77)\/((~(c1_1 X77))\/(~(c2_1 X77))))))\/(hskp31))) -> (~(c0_1 (a1081))) -> (~(c1_1 (a1081))) -> (c3_1 (a1081)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c1_1 X24)\/(~(c3_1 X24))))))\/((forall X16 : zenon_U, ((ndr1_0)->((~(c0_1 X16))\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp10))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a1148))/\((c1_1 (a1148))/\(c2_1 (a1148)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c2_1 W))\/(~(c3_1 W))))))\/(hskp21)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1164))/\((~(c2_1 (a1164)))/\(~(c3_1 (a1164))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c1_1 X10)\/(~(c2_1 X10))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((c3_1 X20)\/(~(c0_1 X20))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c1_1 X21)))))))) -> ((hskp20)\/((hskp27)\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((c2_1 X53)\/(~(c3_1 X53))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a1122))/\((c2_1 (a1122))/\(~(c3_1 (a1122))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1114))/\((~(c1_1 (a1114)))/\(~(c2_1 (a1114))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a1113))/\((c1_1 (a1113))/\(~(c2_1 (a1113))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1098))/\((~(c1_1 (a1098)))/\(~(c3_1 (a1098))))))) -> ((~(hskp13))\/((ndr1_0)/\((c3_1 (a1095))/\((~(c1_1 (a1095)))/\(~(c2_1 (a1095))))))) -> False). % 0.57/0.75 do 0 intro. intros zenon_Hb0 zenon_H188 zenon_H187 zenon_H19 zenon_H1a zenon_H1b zenon_H283 zenon_H3d zenon_H169 zenon_Hb2 zenon_H57 zenon_H68 zenon_H1ed zenon_H1e4 zenon_H1e3 zenon_H1e2 zenon_H154 zenon_H155 zenon_H107 zenon_H65 zenon_Hb zenon_Ha zenon_H9 zenon_H1c2 zenon_H11d zenon_H1a3 zenon_H1a2 zenon_H1a1 zenon_H11e zenon_H12c zenon_H12d zenon_H12e zenon_H141 zenon_H145 zenon_H10e zenon_H88 zenon_H84 zenon_H89 zenon_H1ac zenon_H1ba zenon_Ha0 zenon_Had zenon_H20e zenon_Hb1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H7. zenon_intro zenon_Hb3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H4a. zenon_intro zenon_Hb4. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4b. zenon_intro zenon_Hb5. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1eb | zenon_intro zenon_H211 ]. % 0.57/0.75 apply (zenon_L147_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H7. zenon_intro zenon_H212. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1f1. zenon_intro zenon_H213. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H1ef. zenon_intro zenon_H1f0. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_L67_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H7. zenon_intro zenon_H157. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H111. zenon_intro zenon_H158. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H112. zenon_intro zenon_H110. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H11b | zenon_intro zenon_H159 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.75 apply (zenon_L188_); trivial. % 0.57/0.75 apply (zenon_L75_); trivial. % 0.57/0.75 apply (zenon_L193_); trivial. % 0.57/0.75 apply (zenon_L104_); trivial. % 0.57/0.75 apply (zenon_L105_); trivial. % 0.57/0.75 apply (zenon_L108_); trivial. % 0.57/0.75 apply (zenon_L215_); trivial. % 0.57/0.75 (* end of lemma zenon_L216_ *) % 0.57/0.75 apply NNPP. intro zenon_G. % 0.57/0.75 apply zenon_G. zenon_intro zenon_H285. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H287. zenon_intro zenon_H286. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H289. zenon_intro zenon_H288. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H28b. zenon_intro zenon_H28a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H28d. zenon_intro zenon_H28c. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H28f. zenon_intro zenon_H28e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H265. zenon_intro zenon_H290. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Hdc. zenon_intro zenon_H291. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_Hdd. zenon_intro zenon_H292. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_Hd5. zenon_intro zenon_H293. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_Hd6. zenon_intro zenon_H294. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H188. zenon_intro zenon_H295. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H19a. zenon_intro zenon_H296. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H298. zenon_intro zenon_H297. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_Hb1. zenon_intro zenon_H299. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_Hb2. zenon_intro zenon_H29a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H20e. zenon_intro zenon_H29b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H29d. zenon_intro zenon_H29c. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H187. zenon_intro zenon_H29e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H20f. zenon_intro zenon_H29f. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_Had. zenon_intro zenon_H2a0. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_Ha0. zenon_intro zenon_H2a1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H154. zenon_intro zenon_H2a2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H2a4. zenon_intro zenon_H2a3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H1ba. zenon_intro zenon_H2a5. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H68. zenon_intro zenon_H2aa. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H88. zenon_intro zenon_H2ab. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_Hd3. zenon_intro zenon_H2ac. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H155. zenon_intro zenon_H2ad. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H23d. zenon_intro zenon_H2ae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H145. zenon_intro zenon_H2af. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_Hec. zenon_intro zenon_H2b0. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H283. zenon_intro zenon_H2b1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H183. zenon_intro zenon_H2b2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Hf7. zenon_intro zenon_H2b3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27. zenon_intro zenon_H2b4. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H1c2. zenon_intro zenon_H2b5. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H266. zenon_intro zenon_H2b6. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2b8. zenon_intro zenon_H2b7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H107. zenon_intro zenon_H2b9. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H84. zenon_intro zenon_H2bc. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H16. zenon_intro zenon_H2bd. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2f. zenon_intro zenon_H2be. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H141. zenon_intro zenon_H2bf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H18f. zenon_intro zenon_H2c0. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H244. zenon_intro zenon_H2c3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H200. zenon_intro zenon_H2c4. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H1ed. zenon_intro zenon_H2c5. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H11d. zenon_intro zenon_H2c8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H169. zenon_intro zenon_H2c9. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H210. zenon_intro zenon_H2ca. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H2cc. zenon_intro zenon_H2cb. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H1df. zenon_intro zenon_H2cd. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H2cf. zenon_intro zenon_H2ce. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H22b. zenon_intro zenon_H2d0. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H227. zenon_intro zenon_H2d1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H65. zenon_intro zenon_H2d2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H1cc. zenon_intro zenon_H2d3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H250. zenon_intro zenon_H2d4. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2da. zenon_intro zenon_H2d9. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H1ac. zenon_intro zenon_H2db. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H9a. zenon_intro zenon_H2dc. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e2. zenon_intro zenon_H2e1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H3d. zenon_intro zenon_H2e5. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H19e. zenon_intro zenon_H2e6. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H10e. zenon_intro zenon_H2e7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ed. zenon_intro zenon_H2ec. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H263. zenon_intro zenon_H2ee. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H240. zenon_intro zenon_H2ef. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_Hbb. zenon_intro zenon_H2f0. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H57. zenon_intro zenon_H2f1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H221. zenon_intro zenon_H2f2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H11e. zenon_intro zenon_H2f3. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H21c. zenon_intro zenon_H2f4. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H148. zenon_intro zenon_H2f7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H89. zenon_intro zenon_H5. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H1 | zenon_intro zenon_H2fe ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H22 | zenon_intro zenon_H2ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H24 | zenon_intro zenon_H300 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L3_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_L51_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H7. zenon_intro zenon_H301. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_Hdf. zenon_intro zenon_H302. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_He0. zenon_intro zenon_He1. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L3_); trivial. % 0.57/0.75 apply (zenon_L65_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H7. zenon_intro zenon_H303. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H12e. zenon_intro zenon_H304. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H24 | zenon_intro zenon_H300 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H146 | zenon_intro zenon_H305 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L3_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H14 | zenon_intro zenon_H26 ]. % 0.57/0.75 apply (zenon_L8_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H7. zenon_intro zenon_H28. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H19. zenon_intro zenon_H29. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L15_); trivial. % 0.57/0.75 apply (zenon_L89_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L95_); trivial. % 0.57/0.75 apply (zenon_L89_); trivial. % 0.57/0.75 apply (zenon_L96_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H7. zenon_intro zenon_H306. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H1a3. zenon_intro zenon_H307. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1a1. zenon_intro zenon_H1a2. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L3_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H14 | zenon_intro zenon_H26 ]. % 0.57/0.75 apply (zenon_L8_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H7. zenon_intro zenon_H28. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H19. zenon_intro zenon_H29. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L15_); trivial. % 0.57/0.75 apply (zenon_L113_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L120_); trivial. % 0.57/0.75 apply (zenon_L113_); trivial. % 0.57/0.75 apply (zenon_L126_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H7. zenon_intro zenon_H301. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_Hdf. zenon_intro zenon_H302. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_He0. zenon_intro zenon_He1. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H146 | zenon_intro zenon_H305 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L3_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.75 apply (zenon_L64_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_H7. zenon_intro zenon_Hd7. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H33. zenon_intro zenon_Hd8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_H34. zenon_intro zenon_H32. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L15_); trivial. % 0.57/0.75 apply (zenon_L131_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H13e | zenon_intro zenon_H189 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_L18_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H59 | zenon_intro zenon_H9f ]. % 0.57/0.75 apply (zenon_L48_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H7. zenon_intro zenon_Ha1. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H7b. zenon_intro zenon_Ha2. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H7c. zenon_intro zenon_H7a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H69 | zenon_intro zenon_H9c ]. % 0.57/0.75 apply (zenon_L132_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H7. zenon_intro zenon_H9d. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H8e. zenon_intro zenon_H9e. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H8d. zenon_intro zenon_H8b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H10c | zenon_intro zenon_H156 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.57/0.75 apply (zenon_L134_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H7. zenon_intro zenon_H1b8. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1af. zenon_intro zenon_H1b9. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.75 apply (zenon_L47_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H7. zenon_intro zenon_H66. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5c. zenon_intro zenon_H67. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5d. zenon_intro zenon_H5b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H119 | zenon_intro zenon_H140 ]. % 0.57/0.75 apply (zenon_L138_); trivial. % 0.57/0.75 apply (zenon_L75_); trivial. % 0.57/0.75 apply (zenon_L139_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H7. zenon_intro zenon_H18a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H16b. zenon_intro zenon_H18b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_H18c. zenon_intro zenon_H16a. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_L18_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H7. zenon_intro zenon_Hae. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hae). zenon_intro zenon_H40. zenon_intro zenon_Haf. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H41. zenon_intro zenon_H3f. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ]. % 0.57/0.75 apply (zenon_L47_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H7. zenon_intro zenon_H66. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5c. zenon_intro zenon_H67. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5d. zenon_intro zenon_H5b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hd0 ]. % 0.57/0.75 apply (zenon_L44_); trivial. % 0.57/0.75 apply (zenon_L140_); trivial. % 0.57/0.75 apply (zenon_L131_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H7. zenon_intro zenon_H306. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H1a3. zenon_intro zenon_H307. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1a1. zenon_intro zenon_H1a2. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L3_); trivial. % 0.57/0.75 apply (zenon_L144_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H7. zenon_intro zenon_H308. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H1e4. zenon_intro zenon_H309. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1e2. zenon_intro zenon_H1e3. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H22 | zenon_intro zenon_H2ff ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H24 | zenon_intro zenon_H300 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H6d | zenon_intro zenon_Hb6 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_L152_); trivial. % 0.57/0.75 apply (zenon_L159_); trivial. % 0.57/0.75 apply (zenon_L166_); trivial. % 0.57/0.75 apply (zenon_L167_); trivial. % 0.57/0.75 apply (zenon_L168_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H7. zenon_intro zenon_H301. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_Hdf. zenon_intro zenon_H302. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_He0. zenon_intro zenon_He1. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23e | zenon_intro zenon_H30a ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H3b | zenon_intro zenon_Hac ]. % 0.57/0.75 apply (zenon_L152_); trivial. % 0.57/0.75 apply (zenon_L170_); trivial. % 0.57/0.75 apply (zenon_L167_); trivial. % 0.57/0.75 apply (zenon_L65_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H7. zenon_intro zenon_H30b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H253. zenon_intro zenon_H30c. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H251. zenon_intro zenon_H252. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H242 | zenon_intro zenon_H24f ]. % 0.57/0.75 apply (zenon_L173_); trivial. % 0.57/0.75 apply (zenon_L175_); trivial. % 0.57/0.75 apply (zenon_L167_); trivial. % 0.57/0.75 apply (zenon_L65_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H7. zenon_intro zenon_H303. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H12e. zenon_intro zenon_H304. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H146 | zenon_intro zenon_H305 ]. % 0.57/0.75 apply (zenon_L183_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H7. zenon_intro zenon_H306. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H1a3. zenon_intro zenon_H307. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H1a1. zenon_intro zenon_H1a2. % 0.57/0.75 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H3 | zenon_intro zenon_H109 ]. % 0.57/0.75 apply (zenon_L182_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_H7. zenon_intro zenon_H10a. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hb. zenon_intro zenon_H10b. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_H9. zenon_intro zenon_Ha. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd4 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H14 | zenon_intro zenon_H26 ]. % 0.57/0.75 apply (zenon_L8_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H7. zenon_intro zenon_H28. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H19. zenon_intro zenon_H29. % 0.57/0.75 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H1a. zenon_intro zenon_H1b. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hd9 ]. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L15_); trivial. % 0.57/0.75 apply (zenon_L216_); trivial. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_H7. zenon_intro zenon_Hda. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hda). zenon_intro zenon_Hbd. zenon_intro zenon_Hdb. % 0.57/0.75 apply (zenon_and_s _ _ zenon_Hdb). zenon_intro zenon_Hbc. zenon_intro zenon_Hbe. % 0.57/0.75 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H2d | zenon_intro zenon_Hb0 ]. % 0.57/0.75 apply (zenon_L120_); trivial. % 0.57/0.75 apply (zenon_L216_); trivial. % 0.57/0.75 apply (zenon_L126_); trivial. % 0.57/0.75 Qed. % 0.57/0.75 % SZS output end Proof % 0.57/0.75 (* END-PROOF *) % 0.57/0.75 nodes searched: 20313 % 0.57/0.75 max branch formulas: 452 % 0.57/0.75 proof nodes created: 2226 % 0.57/0.75 formulas created: 27187 % 0.57/0.75 %------------------------------------------------------------------------------