%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN445+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 13:52:36 EDT 2022 % Result : Theorem 0.59s 0.78s % Output : Proof 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN445+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n023.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 17:05:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.59/0.78 (* PROOF-FOUND *) % 0.59/0.78 % SZS status Theorem % 0.59/0.78 (* BEGIN-PROOF *) % 0.59/0.78 % SZS output start Proof % 0.59/0.78 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c0_1 (a294)))/\((~(c2_1 (a294)))/\(~(c3_1 (a294)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a295))/\((c2_1 (a295))/\(~(c1_1 (a295)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a297))/\((~(c0_1 (a297)))/\(~(c3_1 (a297)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c0_1 (a300)))/\((~(c1_1 (a300)))/\(~(c2_1 (a300)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a301))/\((~(c1_1 (a301)))/\(~(c3_1 (a301)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a302))/\((~(c1_1 (a302)))/\(~(c2_1 (a302)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a303))/\((c1_1 (a303))/\(~(c2_1 (a303)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a305))/\((~(c0_1 (a305)))/\(~(c1_1 (a305)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))))/\(((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a338)))/\((~(c2_1 (a338)))/\(~(c3_1 (a338)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a341))/\((c3_1 (a341))/\(~(c0_1 (a341)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a334))/\((c2_1 (a334))/\(c3_1 (a334))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a354))/\((c1_1 (a354))/\(c2_1 (a354))))))/\(((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(hskp3)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp6)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp7)\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp12)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c1_1 X48))))))\/(hskp3)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp7)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/((hskp6)\/(hskp15)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c1_1 X48))))))\/(hskp17)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c1_1 X48))))))\/(hskp5)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/((hskp27)\/(hskp3)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21))/\(((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c1_1 X48))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))))/\(((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c1_1 X48))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/(hskp17)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c1_1 X48))))))\/(hskp22))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp17)\/(hskp4)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/((hskp23)\/(hskp24)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp4)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25)))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8)))/\(((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp26)\/(hskp23)))/\(((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/((hskp17)\/(hskp21)))/\(((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28))/\(((hskp29)\/((hskp27)\/(hskp10)))/\(((hskp7)\/((hskp1)\/(hskp10)))/\(((hskp17)\/((hskp5)\/(hskp24)))/\(((hskp6)\/((hskp15)\/(hskp23)))/\(((hskp26)\/((hskp11)\/(hskp12)))/\(((hskp26)\/(hskp16))/\((hskp20)\/((hskp12)\/(hskp25))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.59/0.78 Proof. % 0.59/0.78 assert (zenon_L1_ : (~(hskp6)) -> (hskp6) -> False). % 0.59/0.78 do 0 intro. intros zenon_H1 zenon_H2. % 0.59/0.78 exact (zenon_H1 zenon_H2). % 0.59/0.78 (* end of lemma zenon_L1_ *) % 0.59/0.78 assert (zenon_L2_ : (~(hskp15)) -> (hskp15) -> False). % 0.59/0.78 do 0 intro. intros zenon_H3 zenon_H4. % 0.59/0.78 exact (zenon_H3 zenon_H4). % 0.59/0.78 (* end of lemma zenon_L2_ *) % 0.59/0.78 assert (zenon_L3_ : (~(hskp23)) -> (hskp23) -> False). % 0.59/0.78 do 0 intro. intros zenon_H5 zenon_H6. % 0.59/0.78 exact (zenon_H5 zenon_H6). % 0.59/0.78 (* end of lemma zenon_L3_ *) % 0.59/0.78 assert (zenon_L4_ : ((hskp6)\/((hskp15)\/(hskp23))) -> (~(hskp6)) -> (~(hskp15)) -> (~(hskp23)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.59/0.78 exact (zenon_H1 zenon_H2). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.59/0.78 exact (zenon_H3 zenon_H4). % 0.59/0.78 exact (zenon_H5 zenon_H6). % 0.59/0.78 (* end of lemma zenon_L4_ *) % 0.59/0.78 assert (zenon_L5_ : (~(hskp26)) -> (hskp26) -> False). % 0.59/0.78 do 0 intro. intros zenon_H9 zenon_Ha. % 0.59/0.78 exact (zenon_H9 zenon_Ha). % 0.59/0.78 (* end of lemma zenon_L5_ *) % 0.59/0.78 assert (zenon_L6_ : (~(hskp11)) -> (hskp11) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hb zenon_Hc. % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 (* end of lemma zenon_L6_ *) % 0.59/0.78 assert (zenon_L7_ : (~(hskp12)) -> (hskp12) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hd zenon_He. % 0.59/0.78 exact (zenon_Hd zenon_He). % 0.59/0.78 (* end of lemma zenon_L7_ *) % 0.59/0.78 assert (zenon_L8_ : ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp26)) -> (~(hskp11)) -> (~(hskp12)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.59/0.78 exact (zenon_H9 zenon_Ha). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 exact (zenon_Hd zenon_He). % 0.59/0.78 (* end of lemma zenon_L8_ *) % 0.59/0.78 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.59/0.78 do 0 intro. intros zenon_H11 zenon_H12. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 (* end of lemma zenon_L9_ *) % 0.59/0.78 assert (zenon_L10_ : (forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (ndr1_0) -> (~(c2_1 (a349))) -> (~(c3_1 (a349))) -> (c0_1 (a349)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.59/0.78 generalize (zenon_H13 (a349)). zenon_intro zenon_H17. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.59/0.78 exact (zenon_H14 zenon_H1a). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.59/0.78 exact (zenon_H15 zenon_H1c). % 0.59/0.78 exact (zenon_H1b zenon_H16). % 0.59/0.78 (* end of lemma zenon_L10_ *) % 0.59/0.78 assert (zenon_L11_ : (~(hskp21)) -> (hskp21) -> False). % 0.59/0.78 do 0 intro. intros zenon_H1d zenon_H1e. % 0.59/0.78 exact (zenon_H1d zenon_H1e). % 0.59/0.78 (* end of lemma zenon_L11_ *) % 0.59/0.78 assert (zenon_L12_ : ((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp21)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H1f zenon_H20 zenon_H1d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H16. zenon_intro zenon_H22. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H13 | zenon_intro zenon_H1e ]. % 0.59/0.78 apply (zenon_L10_); trivial. % 0.59/0.78 exact (zenon_H1d zenon_H1e). % 0.59/0.78 (* end of lemma zenon_L12_ *) % 0.59/0.78 assert (zenon_L13_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp21)) -> (~(hskp11)) -> (~(hskp12)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H23 zenon_H20 zenon_H1d zenon_Hb zenon_Hd zenon_Hf. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.59/0.78 apply (zenon_L8_); trivial. % 0.59/0.78 apply (zenon_L12_); trivial. % 0.59/0.78 (* end of lemma zenon_L13_ *) % 0.59/0.78 assert (zenon_L14_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a336))) -> (c2_1 (a336)) -> (c3_1 (a336)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H24 zenon_H12 zenon_H25 zenon_H26 zenon_H27. % 0.59/0.78 generalize (zenon_H24 (a336)). zenon_intro zenon_H28. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H11 | zenon_intro zenon_H29 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.59/0.78 exact (zenon_H25 zenon_H2b). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.59/0.78 exact (zenon_H2d zenon_H26). % 0.59/0.78 exact (zenon_H2c zenon_H27). % 0.59/0.78 (* end of lemma zenon_L14_ *) % 0.59/0.78 assert (zenon_L15_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a336))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a336)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H2e zenon_H12 zenon_H25 zenon_H24 zenon_H27. % 0.59/0.78 generalize (zenon_H2e (a336)). zenon_intro zenon_H2f. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H11 | zenon_intro zenon_H30 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2b | zenon_intro zenon_H31 ]. % 0.59/0.78 exact (zenon_H25 zenon_H2b). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H26 | zenon_intro zenon_H2c ]. % 0.59/0.78 apply (zenon_L14_); trivial. % 0.59/0.78 exact (zenon_H2c zenon_H27). % 0.59/0.78 (* end of lemma zenon_L15_ *) % 0.59/0.78 assert (zenon_L16_ : (~(hskp14)) -> (hskp14) -> False). % 0.59/0.78 do 0 intro. intros zenon_H32 zenon_H33. % 0.59/0.78 exact (zenon_H32 zenon_H33). % 0.59/0.78 (* end of lemma zenon_L16_ *) % 0.59/0.78 assert (zenon_L17_ : (~(hskp0)) -> (hskp0) -> False). % 0.59/0.78 do 0 intro. intros zenon_H34 zenon_H35. % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L17_ *) % 0.59/0.78 assert (zenon_L18_ : (~(hskp10)) -> (hskp10) -> False). % 0.59/0.78 do 0 intro. intros zenon_H36 zenon_H37. % 0.59/0.78 exact (zenon_H36 zenon_H37). % 0.59/0.78 (* end of lemma zenon_L18_ *) % 0.59/0.78 assert (zenon_L19_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> (~(hskp14)) -> (ndr1_0) -> (~(c0_1 (a336))) -> (c3_1 (a336)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H38 zenon_H34 zenon_H32 zenon_H12 zenon_H25 zenon_H27 zenon_H39 zenon_H36 zenon_Hb. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2e | zenon_intro zenon_H3a ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H24 | zenon_intro zenon_H3b ]. % 0.59/0.78 apply (zenon_L15_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H33 | zenon_intro zenon_H35 ]. % 0.59/0.78 exact (zenon_H32 zenon_H33). % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc ]. % 0.59/0.78 exact (zenon_H36 zenon_H37). % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 (* end of lemma zenon_L19_ *) % 0.59/0.78 assert (zenon_L20_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a320))) -> (~(c2_1 (a320))) -> (c1_1 (a320)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H3c zenon_H12 zenon_H3d zenon_H3e zenon_H3f. % 0.59/0.78 generalize (zenon_H3c (a320)). zenon_intro zenon_H40. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.59/0.78 exact (zenon_H3d zenon_H43). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.59/0.78 exact (zenon_H3e zenon_H45). % 0.59/0.78 exact (zenon_H44 zenon_H3f). % 0.59/0.78 (* end of lemma zenon_L20_ *) % 0.59/0.78 assert (zenon_L21_ : (~(hskp8)) -> (hskp8) -> False). % 0.59/0.78 do 0 intro. intros zenon_H46 zenon_H47. % 0.59/0.78 exact (zenon_H46 zenon_H47). % 0.59/0.78 (* end of lemma zenon_L21_ *) % 0.59/0.78 assert (zenon_L22_ : (~(hskp5)) -> (hskp5) -> False). % 0.59/0.78 do 0 intro. intros zenon_H48 zenon_H49. % 0.59/0.78 exact (zenon_H48 zenon_H49). % 0.59/0.78 (* end of lemma zenon_L22_ *) % 0.59/0.78 assert (zenon_L23_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (c1_1 (a320)) -> (~(c2_1 (a320))) -> (~(c0_1 (a320))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp5)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H4a zenon_H3f zenon_H3e zenon_H3d zenon_H12 zenon_H46 zenon_H48. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3c | zenon_intro zenon_H4b ]. % 0.59/0.78 apply (zenon_L20_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H47 | zenon_intro zenon_H49 ]. % 0.59/0.78 exact (zenon_H46 zenon_H47). % 0.59/0.78 exact (zenon_H48 zenon_H49). % 0.59/0.78 (* end of lemma zenon_L23_ *) % 0.59/0.78 assert (zenon_L24_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a315))) -> (c1_1 (a315)) -> (c2_1 (a315)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H4c zenon_H12 zenon_H4d zenon_H4e zenon_H4f. % 0.59/0.78 generalize (zenon_H4c (a315)). zenon_intro zenon_H50. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H11 | zenon_intro zenon_H51 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.59/0.78 exact (zenon_H4d zenon_H53). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.59/0.78 exact (zenon_H55 zenon_H4e). % 0.59/0.78 exact (zenon_H54 zenon_H4f). % 0.59/0.78 (* end of lemma zenon_L24_ *) % 0.59/0.78 assert (zenon_L25_ : ((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (c2_1 (a315)) -> (c1_1 (a315)) -> (~(c0_1 (a315))) -> (~(hskp12)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H1f zenon_H56 zenon_H4f zenon_H4e zenon_H4d zenon_Hd. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H16. zenon_intro zenon_H22. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4c | zenon_intro zenon_H57 ]. % 0.59/0.78 apply (zenon_L24_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H13 | zenon_intro zenon_He ]. % 0.59/0.78 apply (zenon_L10_); trivial. % 0.59/0.78 exact (zenon_Hd zenon_He). % 0.59/0.78 (* end of lemma zenon_L25_ *) % 0.59/0.78 assert (zenon_L26_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (c2_1 (a315)) -> (c1_1 (a315)) -> (~(c0_1 (a315))) -> (~(hskp11)) -> (~(hskp12)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H23 zenon_H56 zenon_H4f zenon_H4e zenon_H4d zenon_Hb zenon_Hd zenon_Hf. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.59/0.78 apply (zenon_L8_); trivial. % 0.59/0.78 apply (zenon_L25_); trivial. % 0.59/0.78 (* end of lemma zenon_L26_ *) % 0.59/0.78 assert (zenon_L27_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H2e zenon_H12 zenon_H58 zenon_H59 zenon_H5a. % 0.59/0.78 generalize (zenon_H2e (a310)). zenon_intro zenon_H5b. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H11 | zenon_intro zenon_H5c ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.59/0.78 exact (zenon_H58 zenon_H5e). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.59/0.78 exact (zenon_H59 zenon_H60). % 0.59/0.78 exact (zenon_H5f zenon_H5a). % 0.59/0.78 (* end of lemma zenon_L27_ *) % 0.59/0.78 assert (zenon_L28_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H38 zenon_H5a zenon_H59 zenon_H58 zenon_H12 zenon_H36 zenon_Hb. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2e | zenon_intro zenon_H3a ]. % 0.59/0.78 apply (zenon_L27_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc ]. % 0.59/0.78 exact (zenon_H36 zenon_H37). % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 (* end of lemma zenon_L28_ *) % 0.59/0.78 assert (zenon_L29_ : (~(hskp16)) -> (hskp16) -> False). % 0.59/0.78 do 0 intro. intros zenon_H61 zenon_H62. % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L29_ *) % 0.59/0.78 assert (zenon_L30_ : ((hskp26)\/(hskp16)) -> (~(hskp16)) -> (~(hskp26)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H63 zenon_H61 zenon_H9. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_Ha | zenon_intro zenon_H62 ]. % 0.59/0.78 exact (zenon_H9 zenon_Ha). % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L30_ *) % 0.59/0.78 assert (zenon_L31_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp21)) -> (~(hskp16)) -> ((hskp26)\/(hskp16)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H23 zenon_H20 zenon_H1d zenon_H61 zenon_H63. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.59/0.78 apply (zenon_L30_); trivial. % 0.59/0.78 apply (zenon_L12_); trivial. % 0.59/0.78 (* end of lemma zenon_L31_ *) % 0.59/0.78 assert (zenon_L32_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a336))) -> (~(c1_1 (a336))) -> (c3_1 (a336)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H64 zenon_H12 zenon_H25 zenon_H65 zenon_H27. % 0.59/0.78 generalize (zenon_H64 (a336)). zenon_intro zenon_H66. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H11 | zenon_intro zenon_H67 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H2b | zenon_intro zenon_H68 ]. % 0.59/0.78 exact (zenon_H25 zenon_H2b). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H69 | zenon_intro zenon_H2c ]. % 0.59/0.78 exact (zenon_H65 zenon_H69). % 0.59/0.78 exact (zenon_H2c zenon_H27). % 0.59/0.78 (* end of lemma zenon_L32_ *) % 0.59/0.78 assert (zenon_L33_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H6a zenon_H12 zenon_H6b zenon_H6c zenon_H6d. % 0.59/0.78 generalize (zenon_H6a (a309)). zenon_intro zenon_H6e. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H11 | zenon_intro zenon_H6f ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.59/0.78 exact (zenon_H6b zenon_H71). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.59/0.78 exact (zenon_H73 zenon_H6c). % 0.59/0.78 exact (zenon_H72 zenon_H6d). % 0.59/0.78 (* end of lemma zenon_L33_ *) % 0.59/0.78 assert (zenon_L34_ : ((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> (~(hskp0)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H74 zenon_H75 zenon_H6d zenon_H6c zenon_H6b zenon_H34. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H64 | zenon_intro zenon_H78 ]. % 0.59/0.78 apply (zenon_L32_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H35 ]. % 0.59/0.78 apply (zenon_L33_); trivial. % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L34_ *) % 0.59/0.78 assert (zenon_L35_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c1_1 (a321))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H79 zenon_H12 zenon_H64 zenon_H7a zenon_H7b zenon_H7c. % 0.59/0.78 generalize (zenon_H79 (a321)). zenon_intro zenon_H7d. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_H11 | zenon_intro zenon_H7e ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.59/0.78 generalize (zenon_H64 (a321)). zenon_intro zenon_H81. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_H11 | zenon_intro zenon_H82 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.59/0.78 exact (zenon_H80 zenon_H84). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.59/0.78 exact (zenon_H7a zenon_H86). % 0.59/0.78 exact (zenon_H85 zenon_H7b). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H87 | zenon_intro zenon_H85 ]. % 0.59/0.78 exact (zenon_H87 zenon_H7c). % 0.59/0.78 exact (zenon_H85 zenon_H7b). % 0.59/0.78 (* end of lemma zenon_L35_ *) % 0.59/0.78 assert (zenon_L36_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> (~(hskp0)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_H75 zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H34. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H64 | zenon_intro zenon_H78 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H79 ]. % 0.59/0.78 apply (zenon_L33_); trivial. % 0.59/0.78 apply (zenon_L35_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H35 ]. % 0.59/0.78 apply (zenon_L33_); trivial. % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L36_ *) % 0.59/0.78 assert (zenon_L37_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8c zenon_H89 zenon_H23 zenon_H20 zenon_H63 zenon_H6b zenon_H6c zenon_H6d zenon_H34 zenon_H75 zenon_H8d. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.78 apply (zenon_L31_); trivial. % 0.59/0.78 apply (zenon_L34_); trivial. % 0.59/0.78 apply (zenon_L36_); trivial. % 0.59/0.78 (* end of lemma zenon_L37_ *) % 0.59/0.78 assert (zenon_L38_ : (~(hskp2)) -> (hskp2) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8e zenon_H8f. % 0.59/0.78 exact (zenon_H8e zenon_H8f). % 0.59/0.78 (* end of lemma zenon_L38_ *) % 0.59/0.78 assert (zenon_L39_ : ((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> (~(hskp0)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H74 zenon_H90 zenon_H8e zenon_H34. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H64 | zenon_intro zenon_H91 ]. % 0.59/0.78 apply (zenon_L32_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8f | zenon_intro zenon_H35 ]. % 0.59/0.78 exact (zenon_H8e zenon_H8f). % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L39_ *) % 0.59/0.78 assert (zenon_L40_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8d zenon_H90 zenon_H34 zenon_H8e zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.78 apply (zenon_L31_); trivial. % 0.59/0.78 apply (zenon_L39_); trivial. % 0.59/0.78 (* end of lemma zenon_L40_ *) % 0.59/0.78 assert (zenon_L41_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a308))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H3c zenon_H12 zenon_H92 zenon_H24 zenon_H93 zenon_H94. % 0.59/0.78 generalize (zenon_H3c (a308)). zenon_intro zenon_H95. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H11 | zenon_intro zenon_H96 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.59/0.78 exact (zenon_H92 zenon_H98). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.59/0.78 generalize (zenon_H24 (a308)). zenon_intro zenon_H9b. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H11 | zenon_intro zenon_H9c ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H98 | zenon_intro zenon_H9d ]. % 0.59/0.78 exact (zenon_H92 zenon_H98). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ]. % 0.59/0.78 exact (zenon_H9f zenon_H9a). % 0.59/0.78 exact (zenon_H9e zenon_H93). % 0.59/0.78 exact (zenon_H99 zenon_H94). % 0.59/0.78 (* end of lemma zenon_L41_ *) % 0.59/0.78 assert (zenon_L42_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (~(hskp14)) -> (~(hskp0)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H39 zenon_H94 zenon_H93 zenon_H92 zenon_H12 zenon_H3c zenon_H32 zenon_H34. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H24 | zenon_intro zenon_H3b ]. % 0.59/0.78 apply (zenon_L41_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H33 | zenon_intro zenon_H35 ]. % 0.59/0.78 exact (zenon_H32 zenon_H33). % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L42_ *) % 0.59/0.78 assert (zenon_L43_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a321))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a321)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Ha0 zenon_H12 zenon_H7a zenon_Ha1 zenon_H7c. % 0.59/0.78 generalize (zenon_Ha0 (a321)). zenon_intro zenon_Ha2. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Ha2); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha3 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H86 | zenon_intro zenon_Ha4 ]. % 0.59/0.78 exact (zenon_H7a zenon_H86). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H80 | zenon_intro zenon_H87 ]. % 0.59/0.78 generalize (zenon_Ha1 (a321)). zenon_intro zenon_Ha5. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha6 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H84 | zenon_intro zenon_Ha7 ]. % 0.59/0.78 exact (zenon_H80 zenon_H84). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H87 ]. % 0.59/0.78 exact (zenon_H7a zenon_H86). % 0.59/0.78 exact (zenon_H87 zenon_H7c). % 0.59/0.78 exact (zenon_H87 zenon_H7c). % 0.59/0.78 (* end of lemma zenon_L43_ *) % 0.59/0.78 assert (zenon_L44_ : (~(hskp4)) -> (hskp4) -> False). % 0.59/0.78 do 0 intro. intros zenon_Ha8 zenon_Ha9. % 0.59/0.78 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.78 (* end of lemma zenon_L44_ *) % 0.59/0.78 assert (zenon_L45_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Haa zenon_H12 zenon_H7a zenon_H7c zenon_H7b. % 0.59/0.78 generalize (zenon_Haa (a321)). zenon_intro zenon_Hab. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H11 | zenon_intro zenon_Hac ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H86 | zenon_intro zenon_H7f ]. % 0.59/0.78 exact (zenon_H7a zenon_H86). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H87 | zenon_intro zenon_H85 ]. % 0.59/0.78 exact (zenon_H87 zenon_H7c). % 0.59/0.78 exact (zenon_H85 zenon_H7b). % 0.59/0.78 (* end of lemma zenon_L45_ *) % 0.59/0.78 assert (zenon_L46_ : (~(hskp1)) -> (hskp1) -> False). % 0.59/0.78 do 0 intro. intros zenon_Had zenon_Hae. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L46_ *) % 0.59/0.78 assert (zenon_L47_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (~(hskp14)) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp1)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_Haf zenon_Ha8 zenon_H39 zenon_H94 zenon_H93 zenon_H92 zenon_H32 zenon_H34 zenon_Hb0 zenon_Had. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H3c | zenon_intro zenon_Hb2 ]. % 0.59/0.78 apply (zenon_L42_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha9 ]. % 0.59/0.78 apply (zenon_L43_); trivial. % 0.59/0.78 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L45_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L47_ *) % 0.59/0.78 assert (zenon_L48_ : ((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (~(hskp11)) -> (~(hskp12)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hb3 zenon_H23 zenon_H56 zenon_Hb zenon_Hd zenon_Hf. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.78 apply (zenon_L26_); trivial. % 0.59/0.78 (* end of lemma zenon_L48_ *) % 0.59/0.78 assert (zenon_L49_ : ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hb6 zenon_H61 zenon_H5a zenon_H59 zenon_H6a zenon_H12. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H62 ]. % 0.59/0.78 generalize (zenon_Hb7 (a310)). zenon_intro zenon_Hb8. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hb8); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb9 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hba | zenon_intro zenon_H5d ]. % 0.59/0.78 generalize (zenon_H6a (a310)). zenon_intro zenon_Hbb. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hbb); [ zenon_intro zenon_H11 | zenon_intro zenon_Hbc ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H60 | zenon_intro zenon_Hbd ]. % 0.59/0.78 exact (zenon_H59 zenon_H60). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbe | zenon_intro zenon_H5f ]. % 0.59/0.78 exact (zenon_Hbe zenon_Hba). % 0.59/0.78 exact (zenon_H5f zenon_H5a). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.59/0.78 exact (zenon_H59 zenon_H60). % 0.59/0.78 exact (zenon_H5f zenon_H5a). % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L49_ *) % 0.59/0.78 assert (zenon_L50_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8d zenon_H75 zenon_H34 zenon_H59 zenon_H5a zenon_Hb6 zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.78 apply (zenon_L31_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H64 | zenon_intro zenon_H78 ]. % 0.59/0.78 apply (zenon_L32_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6a | zenon_intro zenon_H35 ]. % 0.59/0.78 apply (zenon_L49_); trivial. % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L50_ *) % 0.59/0.78 assert (zenon_L51_ : (~(hskp20)) -> (hskp20) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hbf zenon_Hc0. % 0.59/0.78 exact (zenon_Hbf zenon_Hc0). % 0.59/0.78 (* end of lemma zenon_L51_ *) % 0.59/0.78 assert (zenon_L52_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp20)) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Haf zenon_Hbf zenon_Hb zenon_Hc1 zenon_H7b zenon_H7c zenon_H7a zenon_H12 zenon_Had. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hc2 ]. % 0.59/0.78 apply (zenon_L43_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc | zenon_intro zenon_Hc0 ]. % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 exact (zenon_Hbf zenon_Hc0). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L45_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L52_ *) % 0.59/0.78 assert (zenon_L53_ : (~(hskp13)) -> (hskp13) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hc3 zenon_Hc4. % 0.59/0.78 exact (zenon_Hc3 zenon_Hc4). % 0.59/0.78 (* end of lemma zenon_L53_ *) % 0.59/0.78 assert (zenon_L54_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> (c2_1 (a315)) -> (c1_1 (a315)) -> (~(c0_1 (a315))) -> (~(c2_1 (a333))) -> (c1_1 (a333)) -> (~(c3_1 (a333))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (~(hskp13)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hc5 zenon_H4f zenon_H4e zenon_H4d zenon_Hc6 zenon_Hc7 zenon_Hc8 zenon_H12 zenon_H3c zenon_Hc3. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H4c | zenon_intro zenon_Hc9 ]. % 0.59/0.78 apply (zenon_L24_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc4 ]. % 0.59/0.78 generalize (zenon_H3c (a333)). zenon_intro zenon_Hcb. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_H11 | zenon_intro zenon_Hcc ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.59/0.78 generalize (zenon_Hca (a333)). zenon_intro zenon_Hcf. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd0 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.59/0.78 exact (zenon_Hc8 zenon_Hd2). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.59/0.78 exact (zenon_Hd4 zenon_Hce). % 0.59/0.78 exact (zenon_Hd3 zenon_Hc7). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd3 ]. % 0.59/0.78 exact (zenon_Hc6 zenon_Hd5). % 0.59/0.78 exact (zenon_Hd3 zenon_Hc7). % 0.59/0.78 exact (zenon_Hc3 zenon_Hc4). % 0.59/0.78 (* end of lemma zenon_L54_ *) % 0.59/0.78 assert (zenon_L55_ : ((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hb3 zenon_H8c zenon_Hd6 zenon_Hc5 zenon_Hc3 zenon_Ha8 zenon_Hb0 zenon_Hc1 zenon_Hb zenon_Had zenon_Haf zenon_H23 zenon_H20 zenon_H63 zenon_Hb6 zenon_H5a zenon_H59 zenon_H34 zenon_H75 zenon_H8d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L50_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd7 ]. % 0.59/0.78 apply (zenon_L52_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H12. zenon_intro zenon_Hd8. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc7. zenon_intro zenon_Hd9. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hc6. zenon_intro zenon_Hc8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H3c | zenon_intro zenon_Hb2 ]. % 0.59/0.78 apply (zenon_L54_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha9 ]. % 0.59/0.78 apply (zenon_L43_); trivial. % 0.59/0.78 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L45_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L55_ *) % 0.59/0.78 assert (zenon_L56_ : (~(hskp17)) -> (hskp17) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hda zenon_Hdb. % 0.59/0.78 exact (zenon_Hda zenon_Hdb). % 0.59/0.78 (* end of lemma zenon_L56_ *) % 0.59/0.78 assert (zenon_L57_ : (~(hskp24)) -> (hskp24) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hdc zenon_Hdd. % 0.59/0.78 exact (zenon_Hdc zenon_Hdd). % 0.59/0.78 (* end of lemma zenon_L57_ *) % 0.59/0.78 assert (zenon_L58_ : ((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342)))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hde zenon_Hb6 zenon_H61. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hde). zenon_intro zenon_H12. zenon_intro zenon_Hdf. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_He1. zenon_intro zenon_He0. % 0.59/0.78 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_He3. zenon_intro zenon_He2. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H62 ]. % 0.59/0.78 generalize (zenon_Hb7 (a342)). zenon_intro zenon_He4. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H11 | zenon_intro zenon_He5 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.59/0.78 exact (zenon_He3 zenon_He7). % 0.59/0.78 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ]. % 0.59/0.78 exact (zenon_He2 zenon_He9). % 0.59/0.78 exact (zenon_He8 zenon_He1). % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L58_ *) % 0.59/0.78 assert (zenon_L59_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (~(hskp17)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hea zenon_Hb6 zenon_H61 zenon_Hda zenon_H48 zenon_Heb. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hde ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hec ]. % 0.59/0.78 exact (zenon_Hda zenon_Hdb). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H49 | zenon_intro zenon_Hdd ]. % 0.59/0.78 exact (zenon_H48 zenon_H49). % 0.59/0.78 exact (zenon_Hdc zenon_Hdd). % 0.59/0.78 apply (zenon_L58_); trivial. % 0.59/0.78 (* end of lemma zenon_L59_ *) % 0.59/0.78 assert (zenon_L60_ : (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))) -> (ndr1_0) -> (~(c3_1 (a323))) -> (c0_1 (a323)) -> (c2_1 (a323)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hed zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.59/0.78 generalize (zenon_Hed (a323)). zenon_intro zenon_Hf1. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hf1); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf2 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.59/0.78 exact (zenon_Hee zenon_Hf4). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf5 ]. % 0.59/0.78 exact (zenon_Hf6 zenon_Hef). % 0.59/0.78 exact (zenon_Hf5 zenon_Hf0). % 0.59/0.78 (* end of lemma zenon_L60_ *) % 0.59/0.78 assert (zenon_L61_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (c0_1 (a313)) -> (forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52)))))) -> (~(c1_1 (a313))) -> (c3_1 (a313)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H79 zenon_H12 zenon_Hf7 zenon_Hb7 zenon_Hf8 zenon_Hf9. % 0.59/0.78 generalize (zenon_H79 (a313)). zenon_intro zenon_Hfa. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfb ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 0.59/0.78 exact (zenon_Hfd zenon_Hf7). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hff | zenon_intro zenon_Hfe ]. % 0.59/0.78 generalize (zenon_Hb7 (a313)). zenon_intro zenon_H100. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H100); [ zenon_intro zenon_H11 | zenon_intro zenon_H101 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ]. % 0.59/0.78 exact (zenon_Hf8 zenon_H103). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H104 | zenon_intro zenon_Hfe ]. % 0.59/0.78 exact (zenon_Hff zenon_H104). % 0.59/0.78 exact (zenon_Hfe zenon_Hf9). % 0.59/0.78 exact (zenon_Hfe zenon_Hf9). % 0.59/0.78 (* end of lemma zenon_L61_ *) % 0.59/0.78 assert (zenon_L62_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (c0_1 (a313)) -> (~(c1_1 (a313))) -> (c3_1 (a313)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H105 zenon_Hf7 zenon_Hf8 zenon_Hf9 zenon_Hb zenon_H106 zenon_Heb zenon_H48 zenon_H61 zenon_Hb6 zenon_Hea. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.78 apply (zenon_L59_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H62 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hed | zenon_intro zenon_H10a ]. % 0.59/0.78 apply (zenon_L60_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.59/0.78 apply (zenon_L61_); trivial. % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L62_ *) % 0.59/0.78 assert (zenon_L63_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a313))) -> (c0_1 (a313)) -> (c3_1 (a313)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H10b zenon_H12 zenon_Hf8 zenon_Hf7 zenon_Hf9. % 0.59/0.78 generalize (zenon_H10b (a313)). zenon_intro zenon_H10c. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_H11 | zenon_intro zenon_H10d ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H103 | zenon_intro zenon_H10e ]. % 0.59/0.78 exact (zenon_Hf8 zenon_H103). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfe ]. % 0.59/0.78 exact (zenon_Hfd zenon_Hf7). % 0.59/0.78 exact (zenon_Hfe zenon_Hf9). % 0.59/0.78 (* end of lemma zenon_L63_ *) % 0.59/0.78 assert (zenon_L64_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp4)) -> (~(c1_1 (a313))) -> (c0_1 (a313)) -> (c3_1 (a313)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (~(hskp1)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_Haf zenon_Ha8 zenon_Hf8 zenon_Hf7 zenon_Hf9 zenon_H10f zenon_Had. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H110 ]. % 0.59/0.78 apply (zenon_L43_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10b | zenon_intro zenon_Ha9 ]. % 0.59/0.78 apply (zenon_L63_); trivial. % 0.59/0.78 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L45_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L64_ *) % 0.59/0.78 assert (zenon_L65_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a313)) -> (~(c1_1 (a313))) -> (c0_1 (a313)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8c zenon_Haf zenon_Had zenon_Ha8 zenon_H10f zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H106 zenon_Hb zenon_Hf9 zenon_Hf8 zenon_Hf7 zenon_H105. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L62_); trivial. % 0.59/0.78 apply (zenon_L64_); trivial. % 0.59/0.78 (* end of lemma zenon_L65_ *) % 0.59/0.78 assert (zenon_L66_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H111 zenon_H8c zenon_Haf zenon_Had zenon_Ha8 zenon_H10f zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H106 zenon_Hb zenon_H105. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.78 apply (zenon_L65_); trivial. % 0.59/0.78 (* end of lemma zenon_L66_ *) % 0.59/0.78 assert (zenon_L67_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H114 zenon_H8c zenon_H89 zenon_H23 zenon_H20 zenon_H63 zenon_H34 zenon_H75 zenon_H8d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.78 apply (zenon_L37_); trivial. % 0.59/0.78 (* end of lemma zenon_L67_ *) % 0.59/0.78 assert (zenon_L68_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H117 zenon_H89 zenon_H118 zenon_H56 zenon_Hf zenon_H8d zenon_H90 zenon_H34 zenon_H8e zenon_H63 zenon_H20 zenon_H23 zenon_Hb0 zenon_Ha8 zenon_H92 zenon_H93 zenon_H94 zenon_H39 zenon_Had zenon_Haf zenon_H8c zenon_Hd6 zenon_Hc5 zenon_Hc1 zenon_H75 zenon_Hb6 zenon_H105 zenon_H106 zenon_Heb zenon_H48 zenon_Hea zenon_H10f zenon_H119 zenon_H11a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L40_); trivial. % 0.59/0.78 apply (zenon_L47_); trivial. % 0.59/0.78 apply (zenon_L48_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L50_); trivial. % 0.59/0.78 apply (zenon_L47_); trivial. % 0.59/0.78 apply (zenon_L55_); trivial. % 0.59/0.78 apply (zenon_L66_); trivial. % 0.59/0.78 apply (zenon_L67_); trivial. % 0.59/0.78 (* end of lemma zenon_L68_ *) % 0.59/0.78 assert (zenon_L69_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Ha1 zenon_H12 zenon_H11e zenon_H11f zenon_H120. % 0.59/0.78 generalize (zenon_Ha1 (a305)). zenon_intro zenon_H121. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_H11 | zenon_intro zenon_H122 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.59/0.78 exact (zenon_H11e zenon_H124). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.59/0.78 exact (zenon_H11f zenon_H126). % 0.59/0.78 exact (zenon_H125 zenon_H120). % 0.59/0.78 (* end of lemma zenon_L69_ *) % 0.59/0.78 assert (zenon_L70_ : ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a336)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (~(c1_1 (a336))) -> (ndr1_0) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hb6 zenon_H61 zenon_H27 zenon_Haa zenon_H65 zenon_H12. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H62 ]. % 0.59/0.78 generalize (zenon_Hb7 (a336)). zenon_intro zenon_H127. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H11 | zenon_intro zenon_H128 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H69 | zenon_intro zenon_H31 ]. % 0.59/0.78 exact (zenon_H65 zenon_H69). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H26 | zenon_intro zenon_H2c ]. % 0.59/0.78 generalize (zenon_Haa (a336)). zenon_intro zenon_H129. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H129); [ zenon_intro zenon_H11 | zenon_intro zenon_H12a ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H69 | zenon_intro zenon_H2a ]. % 0.59/0.78 exact (zenon_H65 zenon_H69). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.59/0.78 exact (zenon_H2d zenon_H26). % 0.59/0.78 exact (zenon_H2c zenon_H27). % 0.59/0.78 exact (zenon_H2c zenon_H27). % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L70_ *) % 0.59/0.78 assert (zenon_L71_ : ((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H74 zenon_Haf zenon_H120 zenon_H11f zenon_H11e zenon_H61 zenon_Hb6 zenon_Had. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_L69_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L70_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L71_ *) % 0.59/0.78 assert (zenon_L72_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8d zenon_Haf zenon_Had zenon_Hb6 zenon_H120 zenon_H11f zenon_H11e zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.78 apply (zenon_L31_); trivial. % 0.59/0.78 apply (zenon_L71_); trivial. % 0.59/0.78 (* end of lemma zenon_L72_ *) % 0.59/0.78 assert (zenon_L73_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(hskp1)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_Haf zenon_H120 zenon_H11f zenon_H11e zenon_Had. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_L69_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L45_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L73_ *) % 0.59/0.78 assert (zenon_L74_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8c zenon_H23 zenon_H20 zenon_H63 zenon_H11e zenon_H11f zenon_H120 zenon_Hb6 zenon_Had zenon_Haf zenon_H8d. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L72_); trivial. % 0.59/0.78 apply (zenon_L73_); trivial. % 0.59/0.78 (* end of lemma zenon_L74_ *) % 0.59/0.78 assert (zenon_L75_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp14)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8d zenon_H38 zenon_H36 zenon_H32 zenon_H34 zenon_H39 zenon_Hf zenon_Hd zenon_Hb zenon_H20 zenon_H23. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.78 apply (zenon_L13_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.78 apply (zenon_L19_); trivial. % 0.59/0.78 (* end of lemma zenon_L75_ *) % 0.59/0.78 assert (zenon_L76_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H11b zenon_H38 zenon_H36 zenon_Hb. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.78 apply (zenon_L28_); trivial. % 0.59/0.78 (* end of lemma zenon_L76_ *) % 0.59/0.78 assert (zenon_L77_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H11a zenon_H8d zenon_H38 zenon_H36 zenon_H34 zenon_H39 zenon_Hf zenon_Hb zenon_H20 zenon_H23 zenon_H56 zenon_H118. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_L75_); trivial. % 0.59/0.78 apply (zenon_L48_); trivial. % 0.59/0.78 apply (zenon_L76_); trivial. % 0.59/0.78 (* end of lemma zenon_L77_ *) % 0.59/0.78 assert (zenon_L78_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((hskp26)\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (~(hskp0)) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H117 zenon_H8c zenon_H89 zenon_H63 zenon_H75 zenon_H118 zenon_H56 zenon_H23 zenon_H20 zenon_Hf zenon_H39 zenon_H34 zenon_H36 zenon_H38 zenon_H8d zenon_H11a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.78 apply (zenon_L77_); trivial. % 0.59/0.78 apply (zenon_L67_); trivial. % 0.59/0.78 (* end of lemma zenon_L78_ *) % 0.59/0.78 assert (zenon_L79_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((hskp26)\/(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H12b zenon_H90 zenon_H8e zenon_Hb0 zenon_Ha8 zenon_Had zenon_Haf zenon_Hd6 zenon_Hc5 zenon_Hc1 zenon_Hb6 zenon_H105 zenon_H106 zenon_Heb zenon_H48 zenon_Hea zenon_H10f zenon_H119 zenon_H11a zenon_H8d zenon_H38 zenon_H34 zenon_H39 zenon_Hf zenon_H20 zenon_H23 zenon_H56 zenon_H118 zenon_H75 zenon_H63 zenon_H89 zenon_H8c zenon_H117. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.78 apply (zenon_L78_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.78 apply (zenon_L68_); trivial. % 0.59/0.78 (* end of lemma zenon_L79_ *) % 0.59/0.78 assert (zenon_L80_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a301))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a301)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Ha0 zenon_H12 zenon_H12f zenon_Ha1 zenon_H130. % 0.59/0.78 generalize (zenon_Ha0 (a301)). zenon_intro zenon_H131. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H131); [ zenon_intro zenon_H11 | zenon_intro zenon_H132 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 0.59/0.78 exact (zenon_H12f zenon_H134). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H136 | zenon_intro zenon_H135 ]. % 0.59/0.78 generalize (zenon_Ha1 (a301)). zenon_intro zenon_H137. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H137); [ zenon_intro zenon_H11 | zenon_intro zenon_H138 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 0.59/0.78 exact (zenon_H136 zenon_H13a). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H134 | zenon_intro zenon_H135 ]. % 0.59/0.78 exact (zenon_H12f zenon_H134). % 0.59/0.78 exact (zenon_H135 zenon_H130). % 0.59/0.78 exact (zenon_H135 zenon_H130). % 0.59/0.78 (* end of lemma zenon_L80_ *) % 0.59/0.78 assert (zenon_L81_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp4)) -> (~(c1_1 (a301))) -> (c2_1 (a301)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (~(hskp14)) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp1)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_Haf zenon_Ha8 zenon_H12f zenon_H130 zenon_H39 zenon_H94 zenon_H93 zenon_H92 zenon_H32 zenon_H34 zenon_Hb0 zenon_Had. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H3c | zenon_intro zenon_Hb2 ]. % 0.59/0.78 apply (zenon_L42_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha9 ]. % 0.59/0.78 apply (zenon_L80_); trivial. % 0.59/0.78 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.78 apply (zenon_L45_); trivial. % 0.59/0.78 exact (zenon_Had zenon_Hae). % 0.59/0.78 (* end of lemma zenon_L81_ *) % 0.59/0.78 assert (zenon_L82_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H13b zenon_H12 zenon_H12f zenon_H13c zenon_H130. % 0.59/0.78 generalize (zenon_H13b (a301)). zenon_intro zenon_H13d. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_H11 | zenon_intro zenon_H13e ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H134 | zenon_intro zenon_H13f ]. % 0.59/0.78 exact (zenon_H12f zenon_H134). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H140 | zenon_intro zenon_H135 ]. % 0.59/0.78 exact (zenon_H13c zenon_H140). % 0.59/0.78 exact (zenon_H135 zenon_H130). % 0.59/0.78 (* end of lemma zenon_L82_ *) % 0.59/0.78 assert (zenon_L83_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_Hb zenon_H61. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13b | zenon_intro zenon_H142 ]. % 0.59/0.78 apply (zenon_L82_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hc | zenon_intro zenon_H62 ]. % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L83_ *) % 0.59/0.78 assert (zenon_L84_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H111 zenon_H8c zenon_Haf zenon_Had zenon_Ha8 zenon_H10f zenon_H12f zenon_H13c zenon_H130 zenon_Hb zenon_H141. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L83_); trivial. % 0.59/0.78 apply (zenon_L64_); trivial. % 0.59/0.78 (* end of lemma zenon_L84_ *) % 0.59/0.78 assert (zenon_L85_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a301)) -> (~(c1_1 (a301))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(c3_1 (a301))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((hskp26)\/(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H12b zenon_H90 zenon_H8e zenon_Hb0 zenon_Ha8 zenon_H130 zenon_H12f zenon_Had zenon_Haf zenon_Hd6 zenon_Hc5 zenon_Hc1 zenon_Hb6 zenon_H141 zenon_H13c zenon_H10f zenon_H119 zenon_H11a zenon_H8d zenon_H38 zenon_H34 zenon_H39 zenon_Hf zenon_H20 zenon_H23 zenon_H56 zenon_H118 zenon_H75 zenon_H63 zenon_H89 zenon_H8c zenon_H117. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.78 apply (zenon_L78_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L40_); trivial. % 0.59/0.78 apply (zenon_L81_); trivial. % 0.59/0.78 apply (zenon_L48_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L50_); trivial. % 0.59/0.78 apply (zenon_L81_); trivial. % 0.59/0.78 apply (zenon_L55_); trivial. % 0.59/0.78 apply (zenon_L84_); trivial. % 0.59/0.78 apply (zenon_L67_); trivial. % 0.59/0.78 (* end of lemma zenon_L85_ *) % 0.59/0.78 assert (zenon_L86_ : ((~(hskp5))\/((ndr1_0)/\((c2_1 (a301))/\((~(c1_1 (a301)))/\(~(c3_1 (a301))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((hskp26)\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp2)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H143 zenon_H141 zenon_H117 zenon_H8c zenon_H89 zenon_H63 zenon_H75 zenon_H118 zenon_H56 zenon_H23 zenon_H20 zenon_Hf zenon_H39 zenon_H34 zenon_H38 zenon_H8d zenon_H11a zenon_H119 zenon_H10f zenon_Hea zenon_Heb zenon_H106 zenon_H105 zenon_Hb6 zenon_Hc1 zenon_Hc5 zenon_Hd6 zenon_Haf zenon_Had zenon_Ha8 zenon_Hb0 zenon_H8e zenon_H90 zenon_H12b. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.78 apply (zenon_L79_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.78 apply (zenon_L85_); trivial. % 0.59/0.78 (* end of lemma zenon_L86_ *) % 0.59/0.78 assert (zenon_L87_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H147 zenon_H12 zenon_H148 zenon_H149 zenon_H14a. % 0.59/0.78 generalize (zenon_H147 (a300)). zenon_intro zenon_H14b. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H14b); [ zenon_intro zenon_H11 | zenon_intro zenon_H14c ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 0.59/0.78 exact (zenon_H148 zenon_H14e). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ]. % 0.59/0.78 exact (zenon_H149 zenon_H150). % 0.59/0.78 exact (zenon_H14a zenon_H14f). % 0.59/0.78 (* end of lemma zenon_L87_ *) % 0.59/0.78 assert (zenon_L88_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a333))) -> (c0_1 (a333)) -> (c1_1 (a333)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H151 zenon_H12 zenon_Hc6 zenon_Hce zenon_Hc7. % 0.59/0.78 generalize (zenon_H151 (a333)). zenon_intro zenon_H152. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H152); [ zenon_intro zenon_H11 | zenon_intro zenon_H153 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd1 ]. % 0.59/0.78 exact (zenon_Hc6 zenon_Hd5). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hd3 ]. % 0.59/0.78 exact (zenon_Hd4 zenon_Hce). % 0.59/0.78 exact (zenon_Hd3 zenon_Hc7). % 0.59/0.78 (* end of lemma zenon_L88_ *) % 0.59/0.78 assert (zenon_L89_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(c2_1 (a333))) -> (c1_1 (a333)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H3c zenon_H12 zenon_H151 zenon_Hc6 zenon_Hc7. % 0.59/0.78 generalize (zenon_H3c (a333)). zenon_intro zenon_Hcb. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_H11 | zenon_intro zenon_Hcc ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.59/0.78 apply (zenon_L88_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd3 ]. % 0.59/0.78 exact (zenon_Hc6 zenon_Hd5). % 0.59/0.78 exact (zenon_Hd3 zenon_Hc7). % 0.59/0.78 (* end of lemma zenon_L89_ *) % 0.59/0.78 assert (zenon_L90_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H154 zenon_H12 zenon_H92 zenon_H94 zenon_H93. % 0.59/0.78 generalize (zenon_H154 (a308)). zenon_intro zenon_H155. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_H11 | zenon_intro zenon_H156 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H98 | zenon_intro zenon_H157 ]. % 0.59/0.78 exact (zenon_H92 zenon_H98). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H99 | zenon_intro zenon_H9e ]. % 0.59/0.78 exact (zenon_H99 zenon_H94). % 0.59/0.78 exact (zenon_H9e zenon_H93). % 0.59/0.78 (* end of lemma zenon_L90_ *) % 0.59/0.78 assert (zenon_L91_ : ((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp0)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hd7 zenon_H158 zenon_H14a zenon_H149 zenon_H148 zenon_H93 zenon_H94 zenon_H92 zenon_H159 zenon_H34. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H12. zenon_intro zenon_Hd8. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc7. zenon_intro zenon_Hd9. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hc6. zenon_intro zenon_Hc8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H147 | zenon_intro zenon_H15a ]. % 0.59/0.78 apply (zenon_L87_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H151 | zenon_intro zenon_H35 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H3c | zenon_intro zenon_H15b ]. % 0.59/0.78 apply (zenon_L89_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15c | zenon_intro zenon_H154 ]. % 0.59/0.78 generalize (zenon_H15c (a333)). zenon_intro zenon_H15d. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H15d); [ zenon_intro zenon_H11 | zenon_intro zenon_H15e ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hce | zenon_intro zenon_H15f ]. % 0.59/0.78 apply (zenon_L88_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd3 ]. % 0.59/0.78 exact (zenon_Hc8 zenon_Hd2). % 0.59/0.78 exact (zenon_Hd3 zenon_Hc7). % 0.59/0.78 apply (zenon_L90_); trivial. % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L91_ *) % 0.59/0.78 assert (zenon_L92_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_Hd6 zenon_H158 zenon_H34 zenon_H92 zenon_H94 zenon_H93 zenon_H159 zenon_H14a zenon_H149 zenon_H148 zenon_Hc1 zenon_Hb zenon_Had zenon_Haf. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd7 ]. % 0.59/0.78 apply (zenon_L52_); trivial. % 0.59/0.78 apply (zenon_L91_); trivial. % 0.59/0.78 (* end of lemma zenon_L92_ *) % 0.59/0.78 assert (zenon_L93_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((hskp26)\/(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H12b zenon_H90 zenon_H8e zenon_Haf zenon_Had zenon_Hc1 zenon_H148 zenon_H149 zenon_H14a zenon_H159 zenon_H158 zenon_Hd6 zenon_H11a zenon_H8d zenon_H38 zenon_H34 zenon_H39 zenon_Hf zenon_H20 zenon_H23 zenon_H56 zenon_H118 zenon_H75 zenon_H63 zenon_H89 zenon_H8c zenon_H117. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.78 apply (zenon_L78_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L40_); trivial. % 0.59/0.78 apply (zenon_L92_); trivial. % 0.59/0.78 apply (zenon_L67_); trivial. % 0.59/0.78 (* end of lemma zenon_L93_ *) % 0.59/0.78 assert (zenon_L94_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H15c zenon_H12 zenon_H160 zenon_H161 zenon_H162. % 0.59/0.78 generalize (zenon_H15c (a297)). zenon_intro zenon_H163. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H163); [ zenon_intro zenon_H11 | zenon_intro zenon_H164 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ]. % 0.59/0.78 exact (zenon_H160 zenon_H166). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.59/0.78 exact (zenon_H161 zenon_H168). % 0.59/0.78 exact (zenon_H167 zenon_H162). % 0.59/0.78 (* end of lemma zenon_L94_ *) % 0.59/0.78 assert (zenon_L95_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp0)) -> (~(hskp14)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (c1_1 (a297)) -> (~(c3_1 (a297))) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H159 zenon_H34 zenon_H32 zenon_H39 zenon_H162 zenon_H161 zenon_H160 zenon_H12 zenon_H92 zenon_H94 zenon_H93. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H3c | zenon_intro zenon_H15b ]. % 0.59/0.78 apply (zenon_L42_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15c | zenon_intro zenon_H154 ]. % 0.59/0.78 apply (zenon_L94_); trivial. % 0.59/0.78 apply (zenon_L90_); trivial. % 0.59/0.78 (* end of lemma zenon_L95_ *) % 0.59/0.78 assert (zenon_L96_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (~(hskp11)) -> (~(hskp12)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H118 zenon_H23 zenon_H56 zenon_Hb zenon_Hd zenon_Hf zenon_H39 zenon_H34 zenon_H94 zenon_H93 zenon_H92 zenon_H12 zenon_H160 zenon_H161 zenon_H162 zenon_H159. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_L95_); trivial. % 0.59/0.78 apply (zenon_L48_); trivial. % 0.59/0.78 (* end of lemma zenon_L96_ *) % 0.59/0.78 assert (zenon_L97_ : ((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp13)) -> (~(c0_1 (a315))) -> (c1_1 (a315)) -> (c2_1 (a315)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> (c1_1 (a297)) -> (~(c3_1 (a297))) -> (~(c0_1 (a297))) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hd7 zenon_H159 zenon_Hc3 zenon_H4d zenon_H4e zenon_H4f zenon_Hc5 zenon_H162 zenon_H161 zenon_H160 zenon_H92 zenon_H94 zenon_H93. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H12. zenon_intro zenon_Hd8. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc7. zenon_intro zenon_Hd9. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hc6. zenon_intro zenon_Hc8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H3c | zenon_intro zenon_H15b ]. % 0.59/0.78 apply (zenon_L54_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15c | zenon_intro zenon_H154 ]. % 0.59/0.78 apply (zenon_L94_); trivial. % 0.59/0.78 apply (zenon_L90_); trivial. % 0.59/0.78 (* end of lemma zenon_L97_ *) % 0.59/0.78 assert (zenon_L98_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c3_1 X33)\/((~(c0_1 X33))\/(~(c1_1 X33))))))\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/((hskp14)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H118 zenon_H8c zenon_Hd6 zenon_Hc3 zenon_Hc5 zenon_Hc1 zenon_Hb zenon_Had zenon_Haf zenon_H23 zenon_H20 zenon_H63 zenon_Hb6 zenon_H5a zenon_H59 zenon_H75 zenon_H8d zenon_H39 zenon_H34 zenon_H94 zenon_H93 zenon_H92 zenon_H12 zenon_H160 zenon_H161 zenon_H162 zenon_H159. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.78 apply (zenon_L95_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L50_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd7 ]. % 0.59/0.78 apply (zenon_L52_); trivial. % 0.59/0.78 apply (zenon_L97_); trivial. % 0.59/0.78 (* end of lemma zenon_L98_ *) % 0.59/0.78 assert (zenon_L99_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp12))) -> (c1_1 (a297)) -> (~(c3_1 (a297))) -> (~(c0_1 (a297))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H169 zenon_H162 zenon_H161 zenon_H160 zenon_H6d zenon_H6c zenon_H6b zenon_H12 zenon_Hd. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H15c | zenon_intro zenon_H16a ]. % 0.59/0.78 apply (zenon_L94_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H6a | zenon_intro zenon_He ]. % 0.59/0.78 apply (zenon_L33_); trivial. % 0.59/0.78 exact (zenon_Hd zenon_He). % 0.59/0.78 (* end of lemma zenon_L99_ *) % 0.59/0.78 assert (zenon_L100_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c0_1 (a309)) -> (c1_1 (a309)) -> (c3_1 (a309)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H16b zenon_H12 zenon_H16c zenon_H6c zenon_H6d. % 0.59/0.78 generalize (zenon_H16b (a309)). zenon_intro zenon_H16d. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H16d); [ zenon_intro zenon_H11 | zenon_intro zenon_H16e ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H16f | zenon_intro zenon_H70 ]. % 0.59/0.78 exact (zenon_H16f zenon_H16c). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.59/0.78 exact (zenon_H73 zenon_H6c). % 0.59/0.78 exact (zenon_H72 zenon_H6d). % 0.59/0.78 (* end of lemma zenon_L100_ *) % 0.59/0.78 assert (zenon_L101_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(c2_1 (a309))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H3c zenon_H12 zenon_H16b zenon_H6c zenon_H6d zenon_H6b. % 0.59/0.78 generalize (zenon_H3c (a309)). zenon_intro zenon_H170. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H170); [ zenon_intro zenon_H11 | zenon_intro zenon_H171 ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H16c | zenon_intro zenon_H172 ]. % 0.59/0.78 apply (zenon_L100_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H71 | zenon_intro zenon_H73 ]. % 0.59/0.78 exact (zenon_H6b zenon_H71). % 0.59/0.78 exact (zenon_H73 zenon_H6c). % 0.59/0.78 (* end of lemma zenon_L101_ *) % 0.59/0.78 assert (zenon_L102_ : ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/((hskp17)\/(hskp21))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (~(hskp17)) -> (~(hskp21)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H173 zenon_H6b zenon_H6d zenon_H6c zenon_H12 zenon_H3c zenon_Hda zenon_H1d. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H16b | zenon_intro zenon_H174 ]. % 0.59/0.78 apply (zenon_L101_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1e ]. % 0.59/0.78 exact (zenon_Hda zenon_Hdb). % 0.59/0.78 exact (zenon_H1d zenon_H1e). % 0.59/0.78 (* end of lemma zenon_L102_ *) % 0.59/0.78 assert (zenon_L103_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (ndr1_0) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H8d zenon_H75 zenon_H34 zenon_H173 zenon_Hda zenon_H6b zenon_H6d zenon_H6c zenon_H12 zenon_H160 zenon_H161 zenon_H162 zenon_H92 zenon_H94 zenon_H93 zenon_H159. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H3c | zenon_intro zenon_H15b ]. % 0.59/0.78 apply (zenon_L102_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15c | zenon_intro zenon_H154 ]. % 0.59/0.78 apply (zenon_L94_); trivial. % 0.59/0.78 apply (zenon_L90_); trivial. % 0.59/0.78 apply (zenon_L34_); trivial. % 0.59/0.78 (* end of lemma zenon_L103_ *) % 0.59/0.78 assert (zenon_L104_ : (~(hskp9)) -> (hskp9) -> False). % 0.59/0.78 do 0 intro. intros zenon_H175 zenon_H176. % 0.59/0.78 exact (zenon_H175 zenon_H176). % 0.59/0.78 (* end of lemma zenon_L104_ *) % 0.59/0.78 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> (~(hskp9)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H107 zenon_H177 zenon_H5a zenon_H59 zenon_H58 zenon_H175. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H2e | zenon_intro zenon_H178 ]. % 0.59/0.78 apply (zenon_L27_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hed | zenon_intro zenon_H176 ]. % 0.59/0.78 apply (zenon_L60_); trivial. % 0.59/0.78 exact (zenon_H175 zenon_H176). % 0.59/0.78 (* end of lemma zenon_L105_ *) % 0.59/0.78 assert (zenon_L106_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3))))))\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp12))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H114 zenon_H11a zenon_H105 zenon_H177 zenon_H175 zenon_H159 zenon_H93 zenon_H94 zenon_H92 zenon_H173 zenon_H34 zenon_H75 zenon_H8d zenon_H160 zenon_H161 zenon_H162 zenon_H169. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.78 apply (zenon_L99_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.78 apply (zenon_L103_); trivial. % 0.59/0.78 apply (zenon_L105_); trivial. % 0.59/0.78 (* end of lemma zenon_L106_ *) % 0.59/0.78 assert (zenon_L107_ : (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56)))))) -> (ndr1_0) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H179 zenon_H12 zenon_H17a zenon_H17b zenon_H17c. % 0.59/0.78 generalize (zenon_H179 (a307)). zenon_intro zenon_H17d. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H11 | zenon_intro zenon_H17e ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.59/0.78 exact (zenon_H17a zenon_H180). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.59/0.78 exact (zenon_H17b zenon_H182). % 0.59/0.78 exact (zenon_H181 zenon_H17c). % 0.59/0.78 (* end of lemma zenon_L107_ *) % 0.59/0.78 assert (zenon_L108_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H183 zenon_H17c zenon_H17b zenon_H17a zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_Hc3. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H179 | zenon_intro zenon_H184 ]. % 0.59/0.78 apply (zenon_L107_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H13b | zenon_intro zenon_Hc4 ]. % 0.59/0.78 apply (zenon_L82_); trivial. % 0.59/0.78 exact (zenon_Hc3 zenon_Hc4). % 0.59/0.78 (* end of lemma zenon_L108_ *) % 0.59/0.78 assert (zenon_L109_ : ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (c0_1 (a313)) -> (~(c1_1 (a313))) -> (c3_1 (a313)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hb6 zenon_H61 zenon_H12 zenon_H6b zenon_H6c zenon_H6d zenon_Hf7 zenon_Hf8 zenon_Hf9 zenon_H89. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H62 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H79 ]. % 0.59/0.78 apply (zenon_L33_); trivial. % 0.59/0.78 apply (zenon_L61_); trivial. % 0.59/0.78 exact (zenon_H61 zenon_H62). % 0.59/0.78 (* end of lemma zenon_L109_ *) % 0.59/0.78 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H111 zenon_H8c zenon_Haf zenon_Had zenon_Ha8 zenon_H10f zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_Hb6. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.78 apply (zenon_L109_); trivial. % 0.59/0.78 apply (zenon_L64_); trivial. % 0.59/0.78 (* end of lemma zenon_L110_ *) % 0.59/0.78 assert (zenon_L111_ : ((ndr1_0)/\((c0_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H185 zenon_H117 zenon_H89 zenon_Hb6 zenon_H183 zenon_H130 zenon_H13c zenon_H12f zenon_H141 zenon_H10f zenon_Ha8 zenon_Had zenon_Haf zenon_H8c zenon_H119. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.78 apply (zenon_L108_); trivial. % 0.59/0.78 apply (zenon_L84_); trivial. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.78 apply (zenon_L108_); trivial. % 0.59/0.78 apply (zenon_L110_); trivial. % 0.59/0.78 (* end of lemma zenon_L111_ *) % 0.59/0.78 assert (zenon_L112_ : ((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> (~(c0_1 (a308))) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp0)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hd7 zenon_H158 zenon_H14a zenon_H149 zenon_H148 zenon_H93 zenon_H94 zenon_H92 zenon_H160 zenon_H161 zenon_H162 zenon_H159 zenon_H34. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H12. zenon_intro zenon_Hd8. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc7. zenon_intro zenon_Hd9. % 0.59/0.78 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hc6. zenon_intro zenon_Hc8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H147 | zenon_intro zenon_H15a ]. % 0.59/0.78 apply (zenon_L87_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H151 | zenon_intro zenon_H35 ]. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H3c | zenon_intro zenon_H15b ]. % 0.59/0.78 apply (zenon_L89_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15c | zenon_intro zenon_H154 ]. % 0.59/0.78 apply (zenon_L94_); trivial. % 0.59/0.78 apply (zenon_L90_); trivial. % 0.59/0.78 exact (zenon_H34 zenon_H35). % 0.59/0.78 (* end of lemma zenon_L112_ *) % 0.59/0.78 assert (zenon_L113_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a297))) -> (~(c3_1 (a297))) -> (c1_1 (a297)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (~(hskp11)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H88 zenon_Hd6 zenon_H158 zenon_H34 zenon_H160 zenon_H161 zenon_H162 zenon_H92 zenon_H94 zenon_H93 zenon_H159 zenon_H14a zenon_H149 zenon_H148 zenon_Hc1 zenon_Hb zenon_Had zenon_Haf. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd7 ]. % 0.59/0.78 apply (zenon_L52_); trivial. % 0.59/0.78 apply (zenon_L112_); trivial. % 0.59/0.78 (* end of lemma zenon_L113_ *) % 0.59/0.78 assert (zenon_L114_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Ha0 zenon_H12 zenon_H188 zenon_H189 zenon_H18a. % 0.59/0.78 generalize (zenon_Ha0 (a295)). zenon_intro zenon_H18b. % 0.59/0.78 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H11 | zenon_intro zenon_H18c ]. % 0.59/0.78 exact (zenon_H11 zenon_H12). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ]. % 0.59/0.78 exact (zenon_H188 zenon_H18e). % 0.59/0.78 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ]. % 0.59/0.78 exact (zenon_H190 zenon_H189). % 0.59/0.78 exact (zenon_H18f zenon_H18a). % 0.59/0.78 (* end of lemma zenon_L114_ *) % 0.59/0.78 assert (zenon_L115_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp20)) -> False). % 0.59/0.78 do 0 intro. intros zenon_Hc1 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_Hb zenon_Hbf. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hc2 ]. % 0.59/0.78 apply (zenon_L114_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc | zenon_intro zenon_Hc0 ]. % 0.59/0.78 exact (zenon_Hb zenon_Hc). % 0.59/0.78 exact (zenon_Hbf zenon_Hc0). % 0.59/0.78 (* end of lemma zenon_L115_ *) % 0.59/0.78 assert (zenon_L116_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (~(hskp4)) -> False). % 0.59/0.78 do 0 intro. intros zenon_H111 zenon_H10f zenon_H18a zenon_H189 zenon_H188 zenon_Ha8. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H110 ]. % 0.59/0.78 apply (zenon_L114_); trivial. % 0.59/0.78 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H10b | zenon_intro zenon_Ha9 ]. % 0.59/0.78 apply (zenon_L63_); trivial. % 0.59/0.78 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.78 (* end of lemma zenon_L116_ *) % 0.59/0.78 assert (zenon_L117_ : ((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp11)\/(hskp20))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/(forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a333))/\((~(c2_1 (a333)))/\(~(c3_1 (a333))))))) -> False). % 0.59/0.78 do 0 intro. intros zenon_H12c zenon_H117 zenon_H8c zenon_H89 zenon_H23 zenon_H20 zenon_H63 zenon_H75 zenon_H8d zenon_Hc1 zenon_H18a zenon_H189 zenon_H188 zenon_H148 zenon_H149 zenon_H14a zenon_H159 zenon_H34 zenon_H158 zenon_Hd6. % 0.59/0.78 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd7 ]. % 0.59/0.79 apply (zenon_L115_); trivial. % 0.59/0.79 apply (zenon_L91_); trivial. % 0.59/0.79 apply (zenon_L67_); trivial. % 0.59/0.79 (* end of lemma zenon_L117_ *) % 0.59/0.79 assert (zenon_L118_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(c3_1 (a323))) -> (c2_1 (a323)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H13b zenon_H12 zenon_H191 zenon_Hee zenon_Hf0. % 0.59/0.79 generalize (zenon_H13b (a323)). zenon_intro zenon_H192. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H192); [ zenon_intro zenon_H11 | zenon_intro zenon_H193 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.59/0.79 generalize (zenon_H191 (a323)). zenon_intro zenon_H196. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_H11 | zenon_intro zenon_H197 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H198 ]. % 0.59/0.79 exact (zenon_Hee zenon_Hf4). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H199 | zenon_intro zenon_Hf5 ]. % 0.59/0.79 exact (zenon_H199 zenon_H195). % 0.59/0.79 exact (zenon_Hf5 zenon_Hf0). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf5 ]. % 0.59/0.79 exact (zenon_Hee zenon_Hf4). % 0.59/0.79 exact (zenon_Hf5 zenon_Hf0). % 0.59/0.79 (* end of lemma zenon_L118_ *) % 0.59/0.79 assert (zenon_L119_ : (~(hskp25)) -> (hskp25) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19a zenon_H19b. % 0.59/0.79 exact (zenon_H19a zenon_H19b). % 0.59/0.79 (* end of lemma zenon_L119_ *) % 0.59/0.79 assert (zenon_L120_ : ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (c2_1 (a323)) -> (~(c3_1 (a323))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57)))))) -> (~(hskp15)) -> (~(hskp25)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19c zenon_Hf0 zenon_Hee zenon_H12 zenon_H13b zenon_H3 zenon_H19a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H19d ]. % 0.59/0.79 apply (zenon_L118_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H4 | zenon_intro zenon_H19b ]. % 0.59/0.79 exact (zenon_H3 zenon_H4). % 0.59/0.79 exact (zenon_H19a zenon_H19b). % 0.59/0.79 (* end of lemma zenon_L120_ *) % 0.59/0.79 assert (zenon_L121_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp25)) -> (~(hskp15)) -> (ndr1_0) -> (~(c3_1 (a323))) -> (c2_1 (a323)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp11)) -> (~(hskp16)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H141 zenon_H19a zenon_H3 zenon_H12 zenon_Hee zenon_Hf0 zenon_H19c zenon_Hb zenon_H61. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H13b | zenon_intro zenon_H142 ]. % 0.59/0.79 apply (zenon_L120_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hc | zenon_intro zenon_H62 ]. % 0.59/0.79 exact (zenon_Hb zenon_Hc). % 0.59/0.79 exact (zenon_H61 zenon_H62). % 0.59/0.79 (* end of lemma zenon_L121_ *) % 0.59/0.79 assert (zenon_L122_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (ndr1_0) -> (~(c0_1 (a346))) -> (~(c1_1 (a346))) -> (~(c3_1 (a346))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19e zenon_H12 zenon_H19f zenon_H1a0 zenon_H1a1. % 0.59/0.79 generalize (zenon_H19e (a346)). zenon_intro zenon_H1a2. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1a2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a3 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.59/0.79 exact (zenon_H19f zenon_H1a5). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a6 ]. % 0.59/0.79 exact (zenon_H1a0 zenon_H1a7). % 0.59/0.79 exact (zenon_H1a1 zenon_H1a6). % 0.59/0.79 (* end of lemma zenon_L122_ *) % 0.59/0.79 assert (zenon_L123_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1a8 zenon_H12 zenon_H1a9 zenon_H1aa zenon_H1ab. % 0.59/0.79 generalize (zenon_H1a8 (a294)). zenon_intro zenon_H1ac. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ad ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1af | zenon_intro zenon_H1ae ]. % 0.59/0.79 exact (zenon_H1a9 zenon_H1af). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 0.59/0.79 exact (zenon_H1aa zenon_H1b1). % 0.59/0.79 exact (zenon_H1ab zenon_H1b0). % 0.59/0.79 (* end of lemma zenon_L123_ *) % 0.59/0.79 assert (zenon_L124_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (c3_1 (a336)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a336))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H38 zenon_H27 zenon_H24 zenon_H25 zenon_H12 zenon_H36 zenon_Hb. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H2e | zenon_intro zenon_H3a ]. % 0.59/0.79 apply (zenon_L15_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H37 | zenon_intro zenon_Hc ]. % 0.59/0.79 exact (zenon_H36 zenon_H37). % 0.59/0.79 exact (zenon_Hb zenon_Hc). % 0.59/0.79 (* end of lemma zenon_L124_ *) % 0.59/0.79 assert (zenon_L125_ : ((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (c3_1 (a336)) -> (~(c0_1 (a336))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b2 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H38 zenon_H27 zenon_H25 zenon_H36 zenon_Hb. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H19f. zenon_intro zenon_H1b5. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L122_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_L124_); trivial. % 0.59/0.79 (* end of lemma zenon_L125_ *) % 0.59/0.79 assert (zenon_L126_ : (~(hskp19)) -> (hskp19) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b7 zenon_H1b8. % 0.59/0.79 exact (zenon_H1b7 zenon_H1b8). % 0.59/0.79 (* end of lemma zenon_L126_ *) % 0.59/0.79 assert (zenon_L127_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.59/0.79 do 0 intro. intros zenon_Haf zenon_Hd zenon_H1b7 zenon_H1b9 zenon_H7b zenon_H7c zenon_H7a zenon_H12 zenon_Had. % 0.59/0.79 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1ba ]. % 0.59/0.79 apply (zenon_L43_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1b8 | zenon_intro zenon_He ]. % 0.59/0.79 exact (zenon_H1b7 zenon_H1b8). % 0.59/0.79 exact (zenon_Hd zenon_He). % 0.59/0.79 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.79 apply (zenon_L45_); trivial. % 0.59/0.79 exact (zenon_Had zenon_Hae). % 0.59/0.79 (* end of lemma zenon_L127_ *) % 0.59/0.79 assert (zenon_L128_ : (forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a330))) -> (c1_1 (a330)) -> (c2_1 (a330)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H191 zenon_H12 zenon_H1bb zenon_H1bc zenon_H1bd. % 0.59/0.79 generalize (zenon_H191 (a330)). zenon_intro zenon_H1be. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1be); [ zenon_intro zenon_H11 | zenon_intro zenon_H1bf ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.59/0.79 exact (zenon_H1bb zenon_H1c1). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.59/0.79 exact (zenon_H1c3 zenon_H1bc). % 0.59/0.79 exact (zenon_H1c2 zenon_H1bd). % 0.59/0.79 (* end of lemma zenon_L128_ *) % 0.59/0.79 assert (zenon_L129_ : ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (c2_1 (a330)) -> (c1_1 (a330)) -> (~(c3_1 (a330))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp25)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19c zenon_H1bd zenon_H1bc zenon_H1bb zenon_H12 zenon_H3 zenon_H19a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H19d ]. % 0.59/0.79 apply (zenon_L128_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H4 | zenon_intro zenon_H19b ]. % 0.59/0.79 exact (zenon_H3 zenon_H4). % 0.59/0.79 exact (zenon_H19a zenon_H19b). % 0.59/0.79 (* end of lemma zenon_L129_ *) % 0.59/0.79 assert (zenon_L130_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1c4 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_Hf zenon_Hd zenon_Hb zenon_H20 zenon_H23. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.79 apply (zenon_L13_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L129_); trivial. % 0.59/0.79 apply (zenon_L125_); trivial. % 0.59/0.79 (* end of lemma zenon_L130_ *) % 0.59/0.79 assert (zenon_L131_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H88 zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_Hf zenon_Hb zenon_H20 zenon_H23 zenon_H1b9 zenon_Hd zenon_Had zenon_Haf. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.79 apply (zenon_L127_); trivial. % 0.59/0.79 apply (zenon_L130_); trivial. % 0.59/0.79 (* end of lemma zenon_L131_ *) % 0.59/0.79 assert (zenon_L132_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H8c zenon_H1c8 zenon_Hf zenon_H1b9 zenon_Hd zenon_Had zenon_Haf zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H23 zenon_H20 zenon_H63 zenon_H141 zenon_Hb zenon_H3 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H105. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L59_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.79 apply (zenon_L31_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L121_); trivial. % 0.59/0.79 apply (zenon_L125_); trivial. % 0.59/0.79 apply (zenon_L131_); trivial. % 0.59/0.79 (* end of lemma zenon_L132_ *) % 0.59/0.79 assert (zenon_L133_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> (~(hskp5)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1c9 zenon_H4a zenon_H46 zenon_H48. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.79 apply (zenon_L23_); trivial. % 0.59/0.79 (* end of lemma zenon_L133_ *) % 0.59/0.79 assert (zenon_L134_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H11a zenon_H8c zenon_H1c8 zenon_Hf zenon_H1b9 zenon_Had zenon_Haf zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H23 zenon_H20 zenon_H63 zenon_H141 zenon_Hb zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H105 zenon_H46 zenon_H4a zenon_H1cc. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_L132_); trivial. % 0.59/0.79 apply (zenon_L133_); trivial. % 0.59/0.79 apply (zenon_L76_); trivial. % 0.59/0.79 (* end of lemma zenon_L134_ *) % 0.59/0.79 assert (zenon_L135_ : (~(hskp27)) -> (hskp27) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1cd zenon_H1ce. % 0.59/0.79 exact (zenon_H1cd zenon_H1ce). % 0.59/0.79 (* end of lemma zenon_L135_ *) % 0.59/0.79 assert (zenon_L136_ : ((hskp29)\/((hskp27)\/(hskp10))) -> (~(hskp29)) -> (~(hskp27)) -> (~(hskp10)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1cf zenon_H1d0 zenon_H1cd zenon_H36. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d1 ]. % 0.59/0.79 exact (zenon_H1d0 zenon_H1d2). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1ce | zenon_intro zenon_H37 ]. % 0.59/0.79 exact (zenon_H1cd zenon_H1ce). % 0.59/0.79 exact (zenon_H36 zenon_H37). % 0.59/0.79 (* end of lemma zenon_L136_ *) % 0.59/0.79 assert (zenon_L137_ : (forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85)))))) -> (ndr1_0) -> (c0_1 (a354)) -> (c1_1 (a354)) -> (c2_1 (a354)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1d3 zenon_H12 zenon_H1d4 zenon_H1d5 zenon_H1d6. % 0.59/0.79 generalize (zenon_H1d3 (a354)). zenon_intro zenon_H1d7. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d8 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 0.59/0.79 exact (zenon_H1da zenon_H1d4). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 0.59/0.79 exact (zenon_H1dc zenon_H1d5). % 0.59/0.79 exact (zenon_H1db zenon_H1d6). % 0.59/0.79 (* end of lemma zenon_L137_ *) % 0.59/0.79 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a354))/\((c1_1 (a354))/\(c2_1 (a354))))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> (~(hskp6)) -> (~(hskp8)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1dd zenon_H1de zenon_H1 zenon_H46. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1df. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1e0. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d5. zenon_intro zenon_H1d6. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1e1 ]. % 0.59/0.79 apply (zenon_L137_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H2 | zenon_intro zenon_H47 ]. % 0.59/0.79 exact (zenon_H1 zenon_H2). % 0.59/0.79 exact (zenon_H46 zenon_H47). % 0.59/0.79 (* end of lemma zenon_L138_ *) % 0.59/0.79 assert (zenon_L139_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (c0_1 (a334)) -> (c2_1 (a334)) -> (c3_1 (a334)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H79 zenon_H12 zenon_H1e2 zenon_H1e3 zenon_H1e4. % 0.59/0.79 generalize (zenon_H79 (a334)). zenon_intro zenon_H1e5. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e6 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.59/0.79 exact (zenon_H1e8 zenon_H1e2). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e9 ]. % 0.59/0.79 exact (zenon_H1ea zenon_H1e3). % 0.59/0.79 exact (zenon_H1e9 zenon_H1e4). % 0.59/0.79 (* end of lemma zenon_L139_ *) % 0.59/0.79 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a334))/\((c2_1 (a334))/\(c3_1 (a334))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1eb zenon_H89 zenon_H6d zenon_H6c zenon_H6b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H12. zenon_intro zenon_H1ec. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e2. zenon_intro zenon_H1ed. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1ed). zenon_intro zenon_H1e3. zenon_intro zenon_H1e4. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H79 ]. % 0.59/0.79 apply (zenon_L33_); trivial. % 0.59/0.79 apply (zenon_L139_); trivial. % 0.59/0.79 (* end of lemma zenon_L140_ *) % 0.59/0.79 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a334))/\((c2_1 (a334))/\(c3_1 (a334)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((hskp29)\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> (~(hskp8)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a354))/\((c1_1 (a354))/\(c2_1 (a354)))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H114 zenon_H1ee zenon_H89 zenon_H1cf zenon_H36 zenon_H1 zenon_H46 zenon_H1de zenon_H1ef. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1eb ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 0.59/0.79 apply (zenon_L136_); trivial. % 0.59/0.79 apply (zenon_L138_); trivial. % 0.59/0.79 apply (zenon_L140_); trivial. % 0.59/0.79 (* end of lemma zenon_L141_ *) % 0.59/0.79 assert (zenon_L142_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a334))/\((c2_1 (a334))/\(c3_1 (a334)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((hskp29)\/((hskp27)\/(hskp10))) -> (~(hskp6)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a354))/\((c1_1 (a354))/\(c2_1 (a354)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H117 zenon_H1ee zenon_H89 zenon_H1cf zenon_H1 zenon_H1de zenon_H1ef zenon_H1cc zenon_H4a zenon_H46 zenon_H105 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H141 zenon_H63 zenon_H20 zenon_H23 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_Haf zenon_Had zenon_H1b9 zenon_Hf zenon_H1c8 zenon_H8c zenon_H11a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.79 apply (zenon_L134_); trivial. % 0.59/0.79 apply (zenon_L141_); trivial. % 0.59/0.79 (* end of lemma zenon_L142_ *) % 0.59/0.79 assert (zenon_L143_ : ((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (~(c3_1 (a323))) -> (c0_1 (a323)) -> (c2_1 (a323)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b2 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_Hee zenon_Hef zenon_Hf0. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H19f. zenon_intro zenon_H1b5. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L122_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H19e | zenon_intro zenon_H1f1 ]. % 0.59/0.79 apply (zenon_L122_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ]. % 0.59/0.79 apply (zenon_L41_); trivial. % 0.59/0.79 apply (zenon_L60_); trivial. % 0.59/0.79 (* end of lemma zenon_L143_ *) % 0.59/0.79 assert (zenon_L144_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H105 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H3 zenon_Hb zenon_H141 zenon_Heb zenon_H48 zenon_H61 zenon_Hb6 zenon_Hea. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L59_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L121_); trivial. % 0.59/0.79 apply (zenon_L143_); trivial. % 0.59/0.79 (* end of lemma zenon_L144_ *) % 0.59/0.79 assert (zenon_L145_ : (~(hskp18)) -> (hskp18) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1f2 zenon_H1f3. % 0.59/0.79 exact (zenon_H1f2 zenon_H1f3). % 0.59/0.79 (* end of lemma zenon_L145_ *) % 0.59/0.79 assert (zenon_L146_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.59/0.79 do 0 intro. intros zenon_Haf zenon_H1f2 zenon_Hda zenon_H1f4 zenon_H7b zenon_H7c zenon_H7a zenon_H12 zenon_Had. % 0.59/0.79 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1f5 ]. % 0.59/0.79 apply (zenon_L43_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1f3 ]. % 0.59/0.79 exact (zenon_Hda zenon_Hdb). % 0.59/0.79 exact (zenon_H1f2 zenon_H1f3). % 0.59/0.79 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.79 apply (zenon_L45_); trivial. % 0.59/0.79 exact (zenon_Had zenon_Hae). % 0.59/0.79 (* end of lemma zenon_L146_ *) % 0.59/0.79 assert (zenon_L147_ : (forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a329))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c0_1 (a329))) -> (c2_1 (a329)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H191 zenon_H12 zenon_H1f6 zenon_H19e zenon_H1f7 zenon_H1f8. % 0.59/0.79 generalize (zenon_H191 (a329)). zenon_intro zenon_H1f9. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fa ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fb ]. % 0.59/0.79 exact (zenon_H1f6 zenon_H1fc). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 0.59/0.79 generalize (zenon_H19e (a329)). zenon_intro zenon_H1ff. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_H11 | zenon_intro zenon_H200 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H202 | zenon_intro zenon_H201 ]. % 0.59/0.79 exact (zenon_H1f7 zenon_H202). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H203 | zenon_intro zenon_H1fc ]. % 0.59/0.79 exact (zenon_H1fe zenon_H203). % 0.59/0.79 exact (zenon_H1f6 zenon_H1fc). % 0.59/0.79 exact (zenon_H1fd zenon_H1f8). % 0.59/0.79 (* end of lemma zenon_L147_ *) % 0.59/0.79 assert (zenon_L148_ : ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (c2_1 (a329)) -> (~(c0_1 (a329))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a329))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp25)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19c zenon_H1f8 zenon_H1f7 zenon_H19e zenon_H1f6 zenon_H12 zenon_H3 zenon_H19a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H19d ]. % 0.59/0.79 apply (zenon_L147_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H4 | zenon_intro zenon_H19b ]. % 0.59/0.79 exact (zenon_H3 zenon_H4). % 0.59/0.79 exact (zenon_H19a zenon_H19b). % 0.59/0.79 (* end of lemma zenon_L148_ *) % 0.59/0.79 assert (zenon_L149_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a308))) -> (ndr1_0) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H94 zenon_H93 zenon_H24 zenon_H92 zenon_H12 zenon_H7a zenon_H7c zenon_H7b. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.79 apply (zenon_L41_); trivial. % 0.59/0.79 apply (zenon_L45_); trivial. % 0.59/0.79 (* end of lemma zenon_L149_ *) % 0.59/0.79 assert (zenon_L150_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp25)) -> (~(hskp15)) -> (~(c3_1 (a329))) -> (~(c0_1 (a329))) -> (c2_1 (a329)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (ndr1_0) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b3 zenon_H19a zenon_H3 zenon_H1f6 zenon_H1f7 zenon_H1f8 zenon_H19c zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H94 zenon_H93 zenon_H92 zenon_H12 zenon_H7a zenon_H7c zenon_H7b. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L148_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_L149_); trivial. % 0.59/0.79 (* end of lemma zenon_L150_ *) % 0.59/0.79 assert (zenon_L151_ : ((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b2 zenon_H1b3 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H94 zenon_H93 zenon_H92 zenon_H7a zenon_H7c zenon_H7b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H19f. zenon_intro zenon_H1b5. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L122_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_L149_); trivial. % 0.59/0.79 (* end of lemma zenon_L151_ *) % 0.59/0.79 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H206 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H7b zenon_H7c zenon_H7a zenon_H94 zenon_H93 zenon_H92 zenon_H1b3. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1f8. zenon_intro zenon_H208. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L150_); trivial. % 0.59/0.79 apply (zenon_L151_); trivial. % 0.59/0.79 (* end of lemma zenon_L152_ *) % 0.59/0.79 assert (zenon_L153_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (ndr1_0) -> (c3_1 (a321)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H209 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H94 zenon_H93 zenon_H92 zenon_H1b3 zenon_H1f4 zenon_Hda zenon_H7c zenon_H7a zenon_H12 zenon_H7b zenon_Had zenon_Haf. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.79 apply (zenon_L146_); trivial. % 0.59/0.79 apply (zenon_L152_); trivial. % 0.59/0.79 (* end of lemma zenon_L153_ *) % 0.59/0.79 assert (zenon_L154_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> (~(c3_1 (a323))) -> (c0_1 (a323)) -> (c2_1 (a323)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1c4 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_Hee zenon_Hef zenon_Hf0 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L129_); trivial. % 0.59/0.79 apply (zenon_L143_); trivial. % 0.59/0.79 (* end of lemma zenon_L154_ *) % 0.59/0.79 assert (zenon_L155_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H88 zenon_H105 zenon_H1c8 zenon_H1f0 zenon_H1b9 zenon_Hd zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L153_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.79 apply (zenon_L127_); trivial. % 0.59/0.79 apply (zenon_L154_); trivial. % 0.59/0.79 (* end of lemma zenon_L155_ *) % 0.59/0.79 assert (zenon_L156_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H8c zenon_H1c8 zenon_H1b9 zenon_Hd zenon_Haf zenon_Had zenon_H1f4 zenon_H204 zenon_H209 zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H141 zenon_Hb zenon_H3 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H1b3 zenon_H1c5 zenon_H105. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_L144_); trivial. % 0.59/0.79 apply (zenon_L155_); trivial. % 0.59/0.79 (* end of lemma zenon_L156_ *) % 0.59/0.79 assert (zenon_L157_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_Heb zenon_H48 zenon_H61 zenon_Hb6 zenon_Hea. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L59_); trivial. % 0.59/0.79 apply (zenon_L105_); trivial. % 0.59/0.79 (* end of lemma zenon_L157_ *) % 0.59/0.79 assert (zenon_L158_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H88 zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L153_); trivial. % 0.59/0.79 apply (zenon_L105_); trivial. % 0.59/0.79 (* end of lemma zenon_L158_ *) % 0.59/0.79 assert (zenon_L159_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H8c zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209 zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_L157_); trivial. % 0.59/0.79 apply (zenon_L158_); trivial. % 0.59/0.79 (* end of lemma zenon_L159_ *) % 0.59/0.79 assert (zenon_L160_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (c1_1 (a320)) -> (~(c2_1 (a320))) -> (~(c0_1 (a320))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H88 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3f zenon_H3e zenon_H3d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.79 apply (zenon_L20_); trivial. % 0.59/0.79 apply (zenon_L45_); trivial. % 0.59/0.79 (* end of lemma zenon_L160_ *) % 0.59/0.79 assert (zenon_L161_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1c9 zenon_H8c zenon_H23 zenon_H20 zenon_H63 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H204 zenon_H8d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.79 apply (zenon_L31_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.79 apply (zenon_L20_); trivial. % 0.59/0.79 apply (zenon_L70_); trivial. % 0.59/0.79 apply (zenon_L160_); trivial. % 0.59/0.79 (* end of lemma zenon_L161_ *) % 0.59/0.79 assert (zenon_L162_ : (forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83)))))) -> (ndr1_0) -> (c1_1 (a308)) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H20a zenon_H12 zenon_H94 zenon_H3c zenon_H92 zenon_H93. % 0.59/0.79 generalize (zenon_H20a (a308)). zenon_intro zenon_H20b. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H11 | zenon_intro zenon_H20c ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H99 | zenon_intro zenon_H9d ]. % 0.59/0.79 exact (zenon_H99 zenon_H94). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ]. % 0.59/0.79 generalize (zenon_H3c (a308)). zenon_intro zenon_H95. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H11 | zenon_intro zenon_H96 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.59/0.79 exact (zenon_H92 zenon_H98). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.59/0.79 exact (zenon_H9f zenon_H9a). % 0.59/0.79 exact (zenon_H99 zenon_H94). % 0.59/0.79 exact (zenon_H9e zenon_H93). % 0.59/0.79 (* end of lemma zenon_L162_ *) % 0.59/0.79 assert (zenon_L163_ : (~(hskp28)) -> (hskp28) -> False). % 0.59/0.79 do 0 intro. intros zenon_H20d zenon_H20e. % 0.59/0.79 exact (zenon_H20d zenon_H20e). % 0.59/0.79 (* end of lemma zenon_L163_ *) % 0.59/0.79 assert (zenon_L164_ : ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (c1_1 (a308)) -> (ndr1_0) -> False). % 0.59/0.79 do 0 intro. intros zenon_H20f zenon_H20d zenon_H93 zenon_H92 zenon_H3c zenon_H94 zenon_H12. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H20a | zenon_intro zenon_H20e ]. % 0.59/0.79 apply (zenon_L162_); trivial. % 0.59/0.79 exact (zenon_H20d zenon_H20e). % 0.59/0.79 (* end of lemma zenon_L164_ *) % 0.59/0.79 assert (zenon_L165_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (c1_1 (a308)) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (~(hskp28)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a336)) -> (~(c1_1 (a336))) -> (ndr1_0) -> False). % 0.59/0.79 do 0 intro. intros zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H94 zenon_H92 zenon_H93 zenon_H20d zenon_H20f zenon_Hb6 zenon_H61 zenon_H27 zenon_H65 zenon_H12. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.79 apply (zenon_L164_); trivial. % 0.59/0.79 apply (zenon_L70_); trivial. % 0.59/0.79 (* end of lemma zenon_L165_ *) % 0.59/0.79 assert (zenon_L166_ : (forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c1_1 (a353)) -> (c2_1 (a353)) -> (c3_1 (a353)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H79 zenon_H12 zenon_H4c zenon_H210 zenon_H211 zenon_H212. % 0.59/0.79 generalize (zenon_H79 (a353)). zenon_intro zenon_H213. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H11 | zenon_intro zenon_H214 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ]. % 0.59/0.79 generalize (zenon_H4c (a353)). zenon_intro zenon_H217. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H11 | zenon_intro zenon_H218 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H21a | zenon_intro zenon_H219 ]. % 0.59/0.79 exact (zenon_H216 zenon_H21a). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ]. % 0.59/0.79 exact (zenon_H21c zenon_H210). % 0.59/0.79 exact (zenon_H21b zenon_H211). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H21b | zenon_intro zenon_H21d ]. % 0.59/0.79 exact (zenon_H21b zenon_H211). % 0.59/0.79 exact (zenon_H21d zenon_H212). % 0.59/0.79 (* end of lemma zenon_L166_ *) % 0.59/0.79 assert (zenon_L167_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a353)) -> (c2_1 (a353)) -> (c1_1 (a353)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> (ndr1_0) -> False). % 0.59/0.79 do 0 intro. intros zenon_H89 zenon_H212 zenon_H211 zenon_H210 zenon_H4c zenon_H6d zenon_H6c zenon_H6b zenon_H12. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H79 ]. % 0.59/0.79 apply (zenon_L33_); trivial. % 0.59/0.79 apply (zenon_L166_); trivial. % 0.59/0.79 (* end of lemma zenon_L167_ *) % 0.59/0.79 assert (zenon_L168_ : ((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c0_1 (a349)) -> (~(c3_1 (a349))) -> (~(c2_1 (a349))) -> (~(hskp12)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H21e zenon_H56 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H16 zenon_H15 zenon_H14 zenon_Hd. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H12. zenon_intro zenon_H21f. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H210. zenon_intro zenon_H220. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H4c | zenon_intro zenon_H57 ]. % 0.59/0.79 apply (zenon_L167_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H13 | zenon_intro zenon_He ]. % 0.59/0.79 apply (zenon_L10_); trivial. % 0.59/0.79 exact (zenon_Hd zenon_He). % 0.59/0.79 (* end of lemma zenon_L168_ *) % 0.59/0.79 assert (zenon_L169_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1cc zenon_H8d zenon_H221 zenon_H56 zenon_Hd zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H20f zenon_H93 zenon_H92 zenon_H94 zenon_Hb6 zenon_H204 zenon_H63 zenon_H20 zenon_H23 zenon_H209 zenon_H1c5 zenon_H19c zenon_H1b3 zenon_H1f4 zenon_Had zenon_Haf zenon_H1b9 zenon_H1f0 zenon_H1c8 zenon_H105 zenon_H8c. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.79 apply (zenon_L31_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.59/0.79 apply (zenon_L30_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H16. zenon_intro zenon_H22. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H14. zenon_intro zenon_H15. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.79 apply (zenon_L165_); trivial. % 0.59/0.79 apply (zenon_L168_); trivial. % 0.59/0.79 apply (zenon_L155_); trivial. % 0.59/0.79 apply (zenon_L161_); trivial. % 0.59/0.79 (* end of lemma zenon_L169_ *) % 0.59/0.79 assert (zenon_L170_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> (ndr1_0) -> False). % 0.59/0.79 do 0 intro. intros zenon_H89 zenon_H7b zenon_H7c zenon_H24 zenon_H6d zenon_H6c zenon_H6b zenon_H12. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H79 ]. % 0.59/0.79 apply (zenon_L33_); trivial. % 0.59/0.79 generalize (zenon_H79 (a321)). zenon_intro zenon_H7d. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_H11 | zenon_intro zenon_H7e ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.59/0.79 generalize (zenon_H24 (a321)). zenon_intro zenon_H222. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H11 | zenon_intro zenon_H223 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H84 | zenon_intro zenon_H7f ]. % 0.59/0.79 exact (zenon_H80 zenon_H84). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H87 | zenon_intro zenon_H85 ]. % 0.59/0.79 exact (zenon_H87 zenon_H7c). % 0.59/0.79 exact (zenon_H85 zenon_H7b). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H87 | zenon_intro zenon_H85 ]. % 0.59/0.79 exact (zenon_H87 zenon_H7c). % 0.59/0.79 exact (zenon_H85 zenon_H7b). % 0.59/0.79 (* end of lemma zenon_L170_ *) % 0.59/0.79 assert (zenon_L171_ : ((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b2 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H89 zenon_H7b zenon_H7c zenon_H6d zenon_H6c zenon_H6b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H19f. zenon_intro zenon_H1b5. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L122_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_L170_); trivial. % 0.59/0.79 (* end of lemma zenon_L171_ *) % 0.59/0.79 assert (zenon_L172_ : ((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H206 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H89 zenon_H7b zenon_H7c zenon_H6d zenon_H6c zenon_H6b zenon_H1b3. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1f8. zenon_intro zenon_H208. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L148_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_L170_); trivial. % 0.59/0.79 apply (zenon_L171_); trivial. % 0.59/0.79 (* end of lemma zenon_L172_ *) % 0.59/0.79 assert (zenon_L173_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (ndr1_0) -> (c3_1 (a321)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H209 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H1b3 zenon_H1f4 zenon_Hda zenon_H7c zenon_H7a zenon_H12 zenon_H7b zenon_Had zenon_Haf. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.79 apply (zenon_L146_); trivial. % 0.59/0.79 apply (zenon_L172_); trivial. % 0.59/0.79 (* end of lemma zenon_L173_ *) % 0.59/0.79 assert (zenon_L174_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H88 zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L173_); trivial. % 0.59/0.79 apply (zenon_L105_); trivial. % 0.59/0.79 (* end of lemma zenon_L174_ *) % 0.59/0.79 assert (zenon_L175_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H8c zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209 zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_L157_); trivial. % 0.59/0.79 apply (zenon_L174_); trivial. % 0.59/0.79 (* end of lemma zenon_L175_ *) % 0.59/0.79 assert (zenon_L176_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H4a zenon_H46 zenon_H105 zenon_H177 zenon_H175 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_H209 zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H1b3 zenon_H1f4 zenon_Had zenon_Haf zenon_H8c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_L175_); trivial. % 0.59/0.79 apply (zenon_L133_); trivial. % 0.59/0.79 (* end of lemma zenon_L176_ *) % 0.59/0.79 assert (zenon_L177_ : ((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H12c zenon_H117 zenon_H20f zenon_H89 zenon_H56 zenon_H221 zenon_H1cc zenon_H4a zenon_H46 zenon_H105 zenon_H1c5 zenon_H1b3 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H141 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_H209 zenon_H204 zenon_H1f4 zenon_Had zenon_Haf zenon_H1b9 zenon_H1c8 zenon_H8c zenon_H175 zenon_H177 zenon_H8d zenon_H63 zenon_H20 zenon_H23 zenon_H11a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_L156_); trivial. % 0.59/0.79 apply (zenon_L133_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_L159_); trivial. % 0.59/0.79 apply (zenon_L161_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.79 apply (zenon_L169_); trivial. % 0.59/0.79 apply (zenon_L176_); trivial. % 0.59/0.79 (* end of lemma zenon_L177_ *) % 0.59/0.79 assert (zenon_L178_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (c2_1 (a323)) -> (~(c3_1 (a323))) -> (forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H183 zenon_H17c zenon_H17b zenon_H17a zenon_Hf0 zenon_Hee zenon_H191 zenon_H12 zenon_Hc3. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H179 | zenon_intro zenon_H184 ]. % 0.59/0.79 apply (zenon_L107_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H13b | zenon_intro zenon_Hc4 ]. % 0.59/0.79 apply (zenon_L118_); trivial. % 0.59/0.79 exact (zenon_Hc3 zenon_Hc4). % 0.59/0.79 (* end of lemma zenon_L178_ *) % 0.59/0.79 assert (zenon_L179_ : ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp13)) -> (ndr1_0) -> (~(c3_1 (a323))) -> (c2_1 (a323)) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp15)) -> (~(hskp25)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19c zenon_Hc3 zenon_H12 zenon_Hee zenon_Hf0 zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H3 zenon_H19a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H191 | zenon_intro zenon_H19d ]. % 0.59/0.79 apply (zenon_L178_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H4 | zenon_intro zenon_H19b ]. % 0.59/0.79 exact (zenon_H3 zenon_H4). % 0.59/0.79 exact (zenon_H19a zenon_H19b). % 0.59/0.79 (* end of lemma zenon_L179_ *) % 0.59/0.79 assert (zenon_L180_ : ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a336)) -> (~(c0_1 (a336))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a336))) -> (ndr1_0) -> False). % 0.59/0.79 do 0 intro. intros zenon_Hb6 zenon_H61 zenon_H27 zenon_H25 zenon_H24 zenon_H65 zenon_H12. % 0.59/0.79 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H62 ]. % 0.59/0.79 generalize (zenon_Hb7 (a336)). zenon_intro zenon_H127. % 0.59/0.79 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H11 | zenon_intro zenon_H128 ]. % 0.59/0.79 exact (zenon_H11 zenon_H12). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H69 | zenon_intro zenon_H31 ]. % 0.59/0.79 exact (zenon_H65 zenon_H69). % 0.59/0.79 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H26 | zenon_intro zenon_H2c ]. % 0.59/0.79 apply (zenon_L14_); trivial. % 0.59/0.79 exact (zenon_H2c zenon_H27). % 0.59/0.79 exact (zenon_H61 zenon_H62). % 0.59/0.79 (* end of lemma zenon_L180_ *) % 0.59/0.79 assert (zenon_L181_ : ((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> (c3_1 (a336)) -> (~(c0_1 (a336))) -> (~(c1_1 (a336))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1b2 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_Hb6 zenon_H61 zenon_H27 zenon_H25 zenon_H65. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H19f. zenon_intro zenon_H1b5. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.79 apply (zenon_L122_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.79 apply (zenon_L123_); trivial. % 0.59/0.79 apply (zenon_L180_); trivial. % 0.59/0.79 (* end of lemma zenon_L181_ *) % 0.59/0.79 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H107 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H3 zenon_H19c zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.79 apply (zenon_L31_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L179_); trivial. % 0.59/0.79 apply (zenon_L181_); trivial. % 0.59/0.79 (* end of lemma zenon_L182_ *) % 0.59/0.79 assert (zenon_L183_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H105 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H3 zenon_H19c zenon_H63 zenon_H20 zenon_H23 zenon_Heb zenon_H48 zenon_H61 zenon_Hb6 zenon_Hea. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L59_); trivial. % 0.59/0.79 apply (zenon_L182_); trivial. % 0.59/0.79 (* end of lemma zenon_L183_ *) % 0.59/0.79 assert (zenon_L184_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (c2_1 (a321)) -> (c3_1 (a321)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H107 zenon_H1c5 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H7c zenon_H7b zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H3 zenon_H19c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L179_); trivial. % 0.59/0.79 apply (zenon_L171_); trivial. % 0.59/0.79 (* end of lemma zenon_L184_ *) % 0.59/0.79 assert (zenon_L185_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> (~(hskp13)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H8c zenon_Haf zenon_Had zenon_H1f4 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H209 zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H23 zenon_H20 zenon_H63 zenon_H19c zenon_H3 zenon_H17a zenon_H17b zenon_H17c zenon_Hc3 zenon_H183 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H105. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_L183_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L173_); trivial. % 0.59/0.79 apply (zenon_L184_); trivial. % 0.59/0.79 (* end of lemma zenon_L185_ *) % 0.59/0.79 assert (zenon_L186_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1cc zenon_H4a zenon_H46 zenon_H105 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H19c zenon_H63 zenon_H20 zenon_H23 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_H209 zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H1f4 zenon_Had zenon_Haf zenon_H8c. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_L185_); trivial. % 0.59/0.79 apply (zenon_L133_); trivial. % 0.59/0.79 (* end of lemma zenon_L186_ *) % 0.59/0.79 assert (zenon_L187_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H114 zenon_H119 zenon_Ha8 zenon_H10f zenon_H8c zenon_Haf zenon_Had zenon_H1f4 zenon_H89 zenon_H209 zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H23 zenon_H20 zenon_H63 zenon_H19c zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H105 zenon_H46 zenon_H4a zenon_H1cc. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.79 apply (zenon_L186_); trivial. % 0.59/0.79 apply (zenon_L110_); trivial. % 0.59/0.79 (* end of lemma zenon_L187_ *) % 0.59/0.79 assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H107 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H3 zenon_H19c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.79 apply (zenon_L179_); trivial. % 0.59/0.79 apply (zenon_L143_); trivial. % 0.59/0.79 (* end of lemma zenon_L188_ *) % 0.59/0.79 assert (zenon_L189_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> (~(hskp13)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H8c zenon_H1f0 zenon_Haf zenon_Had zenon_H1f4 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H209 zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H23 zenon_H20 zenon_H63 zenon_H19c zenon_H3 zenon_H17a zenon_H17b zenon_H17c zenon_Hc3 zenon_H183 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H105. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_L183_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.79 apply (zenon_L153_); trivial. % 0.59/0.79 apply (zenon_L188_); trivial. % 0.59/0.79 (* end of lemma zenon_L189_ *) % 0.59/0.79 assert (zenon_L190_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> (c3_1 (a313)) -> (c0_1 (a313)) -> (~(c1_1 (a313))) -> (~(hskp5)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H1c9 zenon_H224 zenon_Hf9 zenon_Hf7 zenon_Hf8 zenon_H48. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H3c | zenon_intro zenon_H225 ]. % 0.59/0.79 apply (zenon_L20_); trivial. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H10b | zenon_intro zenon_H49 ]. % 0.59/0.79 apply (zenon_L63_); trivial. % 0.59/0.79 exact (zenon_H48 zenon_H49). % 0.59/0.79 (* end of lemma zenon_L190_ *) % 0.59/0.79 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H111 zenon_H1cc zenon_H224 zenon_H105 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hb zenon_H141 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_H10f zenon_Ha8 zenon_Had zenon_Haf zenon_H8c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.79 apply (zenon_L144_); trivial. % 0.59/0.79 apply (zenon_L64_); trivial. % 0.59/0.79 apply (zenon_L190_); trivial. % 0.59/0.79 (* end of lemma zenon_L191_ *) % 0.59/0.79 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp5)) -> ((hskp17)\/((hskp5)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H185 zenon_H12b zenon_H204 zenon_H1f0 zenon_H224 zenon_H11a zenon_H8c zenon_H1c8 zenon_Hf zenon_H1b9 zenon_Had zenon_Haf zenon_Hea zenon_Hb6 zenon_H48 zenon_Heb zenon_H23 zenon_H20 zenon_H63 zenon_H141 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H105 zenon_H46 zenon_H4a zenon_H1cc zenon_H183 zenon_H209 zenon_H89 zenon_H1f4 zenon_H10f zenon_Ha8 zenon_H119 zenon_H117. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.79 apply (zenon_L134_); trivial. % 0.59/0.79 apply (zenon_L187_); trivial. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.79 apply (zenon_L189_); trivial. % 0.59/0.79 apply (zenon_L133_); trivial. % 0.59/0.79 apply (zenon_L191_); trivial. % 0.59/0.79 apply (zenon_L187_); trivial. % 0.59/0.80 (* end of lemma zenon_L192_ *) % 0.59/0.80 assert (zenon_L193_ : ((ndr1_0)/\((c2_1 (a305))/\((~(c0_1 (a305)))/\(~(c1_1 (a305)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H226 zenon_H8c zenon_H23 zenon_H20 zenon_H63 zenon_Hb6 zenon_Had zenon_Haf zenon_H8d. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.80 apply (zenon_L74_); trivial. % 0.59/0.80 (* end of lemma zenon_L193_ *) % 0.59/0.80 assert (zenon_L194_ : ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> (c0_1 (a302)) -> (~(c2_1 (a302))) -> (~(c1_1 (a302))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.59/0.80 do 0 intro. intros zenon_H229 zenon_H22a zenon_H22b zenon_H22c zenon_H6d zenon_H6c zenon_H6b zenon_H12 zenon_H32. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22e | zenon_intro zenon_H22d ]. % 0.59/0.80 generalize (zenon_H22e (a302)). zenon_intro zenon_H22f. % 0.59/0.80 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H11 | zenon_intro zenon_H230 ]. % 0.59/0.80 exact (zenon_H11 zenon_H12). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 0.59/0.80 exact (zenon_H22c zenon_H232). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H234 | zenon_intro zenon_H233 ]. % 0.59/0.80 exact (zenon_H22b zenon_H234). % 0.59/0.80 exact (zenon_H233 zenon_H22a). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H6a | zenon_intro zenon_H33 ]. % 0.59/0.80 apply (zenon_L33_); trivial. % 0.59/0.80 exact (zenon_H32 zenon_H33). % 0.59/0.80 (* end of lemma zenon_L194_ *) % 0.59/0.80 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (c2_1 (a321)) -> (c3_1 (a321)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H1c4 zenon_H1c5 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H7c zenon_H7b zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.80 apply (zenon_L129_); trivial. % 0.59/0.80 apply (zenon_L171_); trivial. % 0.59/0.80 (* end of lemma zenon_L195_ *) % 0.59/0.80 assert (zenon_L196_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp26)\/(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> (ndr1_0) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H118 zenon_H1cc zenon_H20 zenon_Hb6 zenon_H204 zenon_H8d zenon_H23 zenon_H56 zenon_Hd zenon_H63 zenon_Haf zenon_Had zenon_H1b9 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H89 zenon_H1b3 zenon_H1c5 zenon_H1c8 zenon_H8c zenon_H12 zenon_H22c zenon_H22b zenon_H22a zenon_H6b zenon_H6c zenon_H6d zenon_H229. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.80 apply (zenon_L194_); trivial. % 0.59/0.80 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.80 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.80 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f ]. % 0.59/0.80 apply (zenon_L30_); trivial. % 0.59/0.80 apply (zenon_L25_); trivial. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.80 apply (zenon_L127_); trivial. % 0.59/0.80 apply (zenon_L195_); trivial. % 0.59/0.80 apply (zenon_L161_); trivial. % 0.59/0.80 (* end of lemma zenon_L196_ *) % 0.59/0.80 assert (zenon_L197_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H1c9 zenon_H8c zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H12f zenon_H13c zenon_H130 zenon_Hb zenon_H141. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L83_); trivial. % 0.59/0.80 apply (zenon_L160_); trivial. % 0.59/0.80 (* end of lemma zenon_L197_ *) % 0.59/0.80 assert (zenon_L198_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (ndr1_0) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H11a zenon_H8c zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hf zenon_H20 zenon_H23 zenon_H1b9 zenon_Had zenon_Haf zenon_H12 zenon_H12f zenon_H13c zenon_H130 zenon_Hb zenon_H141 zenon_H204 zenon_H1cc. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L83_); trivial. % 0.59/0.80 apply (zenon_L131_); trivial. % 0.59/0.80 apply (zenon_L197_); trivial. % 0.59/0.80 apply (zenon_L76_); trivial. % 0.59/0.80 (* end of lemma zenon_L198_ *) % 0.59/0.80 assert (zenon_L199_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a334))/\((c2_1 (a334))/\(c3_1 (a334)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((hskp29)\/((hskp27)\/(hskp10))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a354))/\((c1_1 (a354))/\(c2_1 (a354)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H117 zenon_H1ee zenon_H89 zenon_H1cf zenon_H1 zenon_H46 zenon_H1de zenon_H1ef zenon_H1cc zenon_H204 zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_Haf zenon_Had zenon_H1b9 zenon_H23 zenon_H20 zenon_Hf zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H8c zenon_H11a. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.80 apply (zenon_L198_); trivial. % 0.59/0.80 apply (zenon_L141_); trivial. % 0.59/0.80 (* end of lemma zenon_L199_ *) % 0.59/0.80 assert (zenon_L200_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> (ndr1_0) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H8c zenon_H105 zenon_H1c8 zenon_H1f0 zenon_H1b9 zenon_Hd zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209 zenon_H12 zenon_H12f zenon_H13c zenon_H130 zenon_Hb zenon_H141. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L83_); trivial. % 0.59/0.80 apply (zenon_L155_); trivial. % 0.59/0.80 (* end of lemma zenon_L200_ *) % 0.59/0.80 assert (zenon_L201_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H141 zenon_Hb zenon_H130 zenon_H13c zenon_H12f zenon_H209 zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H94 zenon_H93 zenon_H92 zenon_H1b3 zenon_H1f4 zenon_Had zenon_Haf zenon_H175 zenon_H177 zenon_H105 zenon_H8c. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L83_); trivial. % 0.59/0.80 apply (zenon_L158_); trivial. % 0.59/0.80 apply (zenon_L197_); trivial. % 0.59/0.80 (* end of lemma zenon_L201_ *) % 0.59/0.80 assert (zenon_L202_ : ((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c1_1 (a301))) -> (c2_1 (a301)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> False). % 0.59/0.80 do 0 intro. intros zenon_H74 zenon_Haf zenon_H1f2 zenon_Hda zenon_H12f zenon_H130 zenon_H1f4 zenon_H61 zenon_Hb6 zenon_Had. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1f5 ]. % 0.59/0.80 apply (zenon_L80_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1f3 ]. % 0.59/0.80 exact (zenon_Hda zenon_Hdb). % 0.59/0.80 exact (zenon_H1f2 zenon_H1f3). % 0.59/0.80 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.80 apply (zenon_L70_); trivial. % 0.59/0.80 exact (zenon_Had zenon_Hae). % 0.59/0.80 (* end of lemma zenon_L202_ *) % 0.59/0.80 assert (zenon_L203_ : (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(c0_1 (a329))) -> (~(c3_1 (a329))) -> (c2_1 (a329)) -> False). % 0.59/0.80 do 0 intro. intros zenon_H235 zenon_H12 zenon_H1f7 zenon_H1f6 zenon_H1f8. % 0.59/0.80 generalize (zenon_H235 (a329)). zenon_intro zenon_H236. % 0.59/0.80 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H11 | zenon_intro zenon_H237 ]. % 0.59/0.80 exact (zenon_H11 zenon_H12). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H202 | zenon_intro zenon_H238 ]. % 0.59/0.80 exact (zenon_H1f7 zenon_H202). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fd ]. % 0.59/0.80 exact (zenon_H1f6 zenon_H1fc). % 0.59/0.80 exact (zenon_H1fd zenon_H1f8). % 0.59/0.80 (* end of lemma zenon_L203_ *) % 0.59/0.80 assert (zenon_L204_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (c2_1 (a329)) -> (~(c0_1 (a329))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c3_1 (a329))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.59/0.80 do 0 intro. intros zenon_H239 zenon_H1f8 zenon_H1f7 zenon_H19e zenon_H1f6 zenon_H12 zenon_H46. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H235 | zenon_intro zenon_H23a ]. % 0.59/0.80 apply (zenon_L203_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H191 | zenon_intro zenon_H47 ]. % 0.59/0.80 apply (zenon_L147_); trivial. % 0.59/0.80 exact (zenon_H46 zenon_H47). % 0.59/0.80 (* end of lemma zenon_L204_ *) % 0.59/0.80 assert (zenon_L205_ : ((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H206 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H46 zenon_H239 zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1f8. zenon_intro zenon_H208. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.80 apply (zenon_L31_); trivial. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.80 apply (zenon_L204_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_L180_); trivial. % 0.59/0.80 (* end of lemma zenon_L205_ *) % 0.59/0.80 assert (zenon_L206_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c1_1 (a301))) -> (c2_1 (a301)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_H8d zenon_Haf zenon_Had zenon_Hb6 zenon_H12f zenon_H130 zenon_H1f4 zenon_H63 zenon_H61 zenon_H20 zenon_H23 zenon_H239 zenon_H46 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H1b3 zenon_H209. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.80 apply (zenon_L31_); trivial. % 0.59/0.80 apply (zenon_L202_); trivial. % 0.59/0.80 apply (zenon_L205_); trivial. % 0.59/0.80 apply (zenon_L105_); trivial. % 0.59/0.80 (* end of lemma zenon_L206_ *) % 0.59/0.80 assert (zenon_L207_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a301)) -> (~(c1_1 (a301))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H1c9 zenon_H8c zenon_H204 zenon_H209 zenon_H1b3 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H46 zenon_H239 zenon_H23 zenon_H20 zenon_H63 zenon_H1f4 zenon_H130 zenon_H12f zenon_Hb6 zenon_Had zenon_Haf zenon_H8d zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L206_); trivial. % 0.59/0.80 apply (zenon_L160_); trivial. % 0.59/0.80 (* end of lemma zenon_L207_ *) % 0.59/0.80 assert (zenon_L208_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c1_1 (a301))) -> (c2_1 (a301)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H105 zenon_H177 zenon_H175 zenon_H8d zenon_Haf zenon_Had zenon_Hb6 zenon_H12f zenon_H130 zenon_H1f4 zenon_H63 zenon_H20 zenon_H23 zenon_H239 zenon_H46 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H1b3 zenon_H209 zenon_H1c5 zenon_H19c zenon_H204 zenon_H94 zenon_H93 zenon_H92 zenon_H8c. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L206_); trivial. % 0.59/0.80 apply (zenon_L158_); trivial. % 0.59/0.80 apply (zenon_L207_); trivial. % 0.59/0.80 (* end of lemma zenon_L208_ *) % 0.59/0.80 assert (zenon_L209_ : ((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H12c zenon_H117 zenon_H239 zenon_H46 zenon_H23 zenon_H20 zenon_H63 zenon_Hb6 zenon_H20f zenon_H89 zenon_H56 zenon_H221 zenon_H8d zenon_H1cc zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H209 zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H1b3 zenon_H1f4 zenon_Had zenon_Haf zenon_H1b9 zenon_H1f0 zenon_H1c8 zenon_H105 zenon_H8c zenon_H177 zenon_H175 zenon_H11a. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_L200_); trivial. % 0.59/0.80 apply (zenon_L197_); trivial. % 0.59/0.80 apply (zenon_L201_); trivial. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.80 apply (zenon_L169_); trivial. % 0.59/0.80 apply (zenon_L208_); trivial. % 0.59/0.80 (* end of lemma zenon_L209_ *) % 0.59/0.80 assert (zenon_L210_ : ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (c2_1 (a323)) -> (c0_1 (a323)) -> (~(c3_1 (a323))) -> (c3_1 (a353)) -> (c2_1 (a353)) -> (c1_1 (a353)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.59/0.80 do 0 intro. intros zenon_H106 zenon_Hf0 zenon_Hef zenon_Hee zenon_H212 zenon_H211 zenon_H210 zenon_H4c zenon_H12 zenon_Hb. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hed | zenon_intro zenon_H10a ]. % 0.59/0.80 apply (zenon_L60_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.59/0.80 apply (zenon_L166_); trivial. % 0.59/0.80 exact (zenon_Hb zenon_Hc). % 0.59/0.80 (* end of lemma zenon_L210_ *) % 0.59/0.80 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (c2_1 (a323)) -> (c0_1 (a323)) -> (~(c3_1 (a323))) -> (~(hskp11)) -> False). % 0.59/0.80 do 0 intro. intros zenon_H21e zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H106 zenon_Hf0 zenon_Hef zenon_Hee zenon_Hb. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H12. zenon_intro zenon_H21f. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H210. zenon_intro zenon_H220. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H147 | zenon_intro zenon_H23c ]. % 0.59/0.80 apply (zenon_L87_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H4c ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_L210_); trivial. % 0.59/0.80 (* end of lemma zenon_L211_ *) % 0.59/0.80 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H107 zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H20f zenon_H93 zenon_H92 zenon_H94 zenon_H7a zenon_H7c zenon_H7b zenon_H204. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.80 apply (zenon_L164_); trivial. % 0.59/0.80 apply (zenon_L45_); trivial. % 0.59/0.80 apply (zenon_L211_); trivial. % 0.59/0.80 (* end of lemma zenon_L212_ *) % 0.59/0.80 assert (zenon_L213_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H88 zenon_H105 zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.80 apply (zenon_L153_); trivial. % 0.59/0.80 apply (zenon_L212_); trivial. % 0.59/0.80 (* end of lemma zenon_L213_ *) % 0.59/0.80 assert (zenon_L214_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H1cc zenon_H4a zenon_H46 zenon_H105 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hb zenon_H141 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_H209 zenon_H204 zenon_H1f4 zenon_Had zenon_Haf zenon_H20f zenon_H148 zenon_H149 zenon_H14a zenon_H106 zenon_H23b zenon_H221 zenon_H8c. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L144_); trivial. % 0.59/0.80 apply (zenon_L213_); trivial. % 0.59/0.80 apply (zenon_L133_); trivial. % 0.59/0.80 (* end of lemma zenon_L214_ *) % 0.59/0.80 assert (zenon_L215_ : ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a341)) -> (c2_1 (a341)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))) -> (ndr1_0) -> False). % 0.59/0.80 do 0 intro. intros zenon_H20f zenon_H20d zenon_H23d zenon_H23e zenon_Haa zenon_H12. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H20a | zenon_intro zenon_H20e ]. % 0.59/0.80 generalize (zenon_H20a (a341)). zenon_intro zenon_H23f. % 0.59/0.80 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H11 | zenon_intro zenon_H240 ]. % 0.59/0.80 exact (zenon_H11 zenon_H12). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H242 | zenon_intro zenon_H241 ]. % 0.59/0.80 generalize (zenon_Haa (a341)). zenon_intro zenon_H243. % 0.59/0.80 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_H11 | zenon_intro zenon_H244 ]. % 0.59/0.80 exact (zenon_H11 zenon_H12). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H245 | zenon_intro zenon_H241 ]. % 0.59/0.80 exact (zenon_H242 zenon_H245). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.59/0.80 exact (zenon_H247 zenon_H23e). % 0.59/0.80 exact (zenon_H246 zenon_H23d). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.59/0.80 exact (zenon_H247 zenon_H23e). % 0.59/0.80 exact (zenon_H246 zenon_H23d). % 0.59/0.80 exact (zenon_H20d zenon_H20e). % 0.59/0.80 (* end of lemma zenon_L215_ *) % 0.59/0.80 assert (zenon_L216_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (c1_1 (a308)) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a341)) -> (c2_1 (a341)) -> (ndr1_0) -> False). % 0.59/0.80 do 0 intro. intros zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H94 zenon_H92 zenon_H93 zenon_H20f zenon_H20d zenon_H23d zenon_H23e zenon_H12. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.80 apply (zenon_L164_); trivial. % 0.59/0.80 apply (zenon_L215_); trivial. % 0.59/0.80 (* end of lemma zenon_L216_ *) % 0.59/0.80 assert (zenon_L217_ : ((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H21e zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H89 zenon_H6d zenon_H6c zenon_H6b. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H12. zenon_intro zenon_H21f. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H210. zenon_intro zenon_H220. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H147 | zenon_intro zenon_H23c ]. % 0.59/0.80 apply (zenon_L87_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H4c ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_L167_); trivial. % 0.59/0.80 (* end of lemma zenon_L217_ *) % 0.59/0.80 assert (zenon_L218_ : ((ndr1_0)/\((c2_1 (a341))/\((c3_1 (a341))/\(~(c0_1 (a341)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H248 zenon_H221 zenon_H23b zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H14a zenon_H149 zenon_H148 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H20f zenon_H93 zenon_H92 zenon_H94 zenon_H204. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H12. zenon_intro zenon_H249. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H23e. zenon_intro zenon_H24a. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H23d. zenon_intro zenon_H24b. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.80 apply (zenon_L216_); trivial. % 0.59/0.80 apply (zenon_L217_); trivial. % 0.59/0.80 (* end of lemma zenon_L218_ *) % 0.59/0.80 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> False). % 0.59/0.80 do 0 intro. intros zenon_Hb3 zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H1ab zenon_H1aa zenon_H1a9. % 0.59/0.80 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.80 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.80 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H147 | zenon_intro zenon_H23c ]. % 0.59/0.80 apply (zenon_L87_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H4c ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_L24_); trivial. % 0.59/0.80 (* end of lemma zenon_L219_ *) % 0.59/0.80 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H114 zenon_H118 zenon_H23b zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H14a zenon_H149 zenon_H148 zenon_H22c zenon_H22b zenon_H22a zenon_H229. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.80 apply (zenon_L194_); trivial. % 0.59/0.80 apply (zenon_L219_); trivial. % 0.59/0.80 (* end of lemma zenon_L220_ *) % 0.59/0.80 assert (zenon_L221_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((hskp17)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a342))/\((~(c1_1 (a342)))/\(~(c2_1 (a342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H117 zenon_H118 zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H22c zenon_H22b zenon_H22a zenon_H229 zenon_H1cc zenon_H4a zenon_H46 zenon_H105 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H141 zenon_H63 zenon_H20 zenon_H23 zenon_Heb zenon_H48 zenon_Hb6 zenon_Hea zenon_Haf zenon_Had zenon_H1b9 zenon_Hf zenon_H1c8 zenon_H8c zenon_H11a. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.80 apply (zenon_L134_); trivial. % 0.59/0.80 apply (zenon_L220_); trivial. % 0.59/0.80 (* end of lemma zenon_L221_ *) % 0.59/0.80 assert (zenon_L222_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H1cc zenon_H141 zenon_Hb zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_H209 zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H94 zenon_H93 zenon_H92 zenon_H1b3 zenon_H1f4 zenon_Had zenon_Haf zenon_H20f zenon_H148 zenon_H149 zenon_H14a zenon_H106 zenon_H23b zenon_H221 zenon_H105 zenon_H8c. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L83_); trivial. % 0.59/0.80 apply (zenon_L213_); trivial. % 0.59/0.80 apply (zenon_L197_); trivial. % 0.59/0.80 (* end of lemma zenon_L222_ *) % 0.59/0.80 assert (zenon_L223_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(c2_1 (a309))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a301))) -> (c2_1 (a301)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H8d zenon_H24c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H6c zenon_H6d zenon_H6b zenon_H204 zenon_H12f zenon_H130 zenon_Hb6 zenon_Had zenon_Haf zenon_H14a zenon_H149 zenon_H148 zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.80 apply (zenon_L31_); trivial. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H147 | zenon_intro zenon_H24d ]. % 0.59/0.80 apply (zenon_L87_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H16b ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.80 apply (zenon_L80_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.80 apply (zenon_L70_); trivial. % 0.59/0.80 exact (zenon_Had zenon_Hae). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.80 apply (zenon_L123_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.80 apply (zenon_L101_); trivial. % 0.59/0.80 apply (zenon_L70_); trivial. % 0.59/0.80 (* end of lemma zenon_L223_ *) % 0.59/0.80 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H111 zenon_H118 zenon_H23b zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H14a zenon_H149 zenon_H148 zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H229. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22e | zenon_intro zenon_H22d ]. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H6a | zenon_intro zenon_H79 ]. % 0.59/0.80 apply (zenon_L33_); trivial. % 0.59/0.80 generalize (zenon_H79 (a313)). zenon_intro zenon_Hfa. % 0.59/0.80 apply (zenon_imply_s _ _ zenon_Hfa); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfb ]. % 0.59/0.80 exact (zenon_H11 zenon_H12). % 0.59/0.80 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 0.59/0.80 exact (zenon_Hfd zenon_Hf7). % 0.59/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hff | zenon_intro zenon_Hfe ]. % 0.59/0.80 generalize (zenon_H22e (a313)). zenon_intro zenon_H24e. % 0.59/0.80 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H11 | zenon_intro zenon_H24f ]. % 0.59/0.80 exact (zenon_H11 zenon_H12). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H103 | zenon_intro zenon_H250 ]. % 0.59/0.80 exact (zenon_Hf8 zenon_H103). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H104 | zenon_intro zenon_Hfd ]. % 0.59/0.80 exact (zenon_Hff zenon_H104). % 0.59/0.80 exact (zenon_Hfd zenon_Hf7). % 0.59/0.80 exact (zenon_Hfe zenon_Hf9). % 0.59/0.80 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H6a | zenon_intro zenon_H33 ]. % 0.59/0.80 apply (zenon_L33_); trivial. % 0.59/0.80 exact (zenon_H32 zenon_H33). % 0.59/0.80 apply (zenon_L219_); trivial. % 0.59/0.80 (* end of lemma zenon_L224_ *) % 0.59/0.80 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H114 zenon_H119 zenon_H118 zenon_H23b zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H14a zenon_H149 zenon_H148 zenon_H89 zenon_H229 zenon_H17a zenon_H17b zenon_H17c zenon_H12f zenon_H13c zenon_H130 zenon_H183. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.80 apply (zenon_L108_); trivial. % 0.59/0.80 apply (zenon_L224_); trivial. % 0.59/0.80 (* end of lemma zenon_L225_ *) % 0.59/0.80 assert (zenon_L226_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H117 zenon_H119 zenon_H118 zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H89 zenon_H229 zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H1cc zenon_H204 zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_Haf zenon_Had zenon_H1b9 zenon_H23 zenon_H20 zenon_Hf zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H8c zenon_H11a. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.80 apply (zenon_L198_); trivial. % 0.59/0.80 apply (zenon_L225_); trivial. % 0.59/0.80 (* end of lemma zenon_L226_ *) % 0.59/0.80 assert (zenon_L227_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (ndr1_0) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H8c zenon_Haf zenon_Had zenon_H120 zenon_H11f zenon_H11e zenon_H12 zenon_H12f zenon_H13c zenon_H130 zenon_Hb zenon_H141. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.80 apply (zenon_L83_); trivial. % 0.59/0.80 apply (zenon_L73_); trivial. % 0.59/0.80 (* end of lemma zenon_L227_ *) % 0.59/0.80 assert (zenon_L228_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (ndr1_0) -> (c2_1 (a341)) -> (c3_1 (a341)) -> (~(hskp28)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(hskp1)) -> False). % 0.59/0.80 do 0 intro. intros zenon_Haf zenon_H120 zenon_H11f zenon_H11e zenon_H12 zenon_H23e zenon_H23d zenon_H20d zenon_H20f zenon_Had. % 0.59/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hb1 ]. % 0.59/0.80 apply (zenon_L69_); trivial. % 0.59/0.80 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Haa | zenon_intro zenon_Hae ]. % 0.59/0.80 apply (zenon_L215_); trivial. % 0.59/0.80 exact (zenon_Had zenon_Hae). % 0.59/0.80 (* end of lemma zenon_L228_ *) % 0.59/0.80 assert (zenon_L229_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a341))/\((c3_1 (a341))/\(~(c0_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp6)) -> (~(hskp15)) -> ((hskp6)\/((hskp15)\/(hskp23))) -> False). % 0.59/0.80 do 0 intro. intros zenon_H251 zenon_H221 zenon_H23b zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H14a zenon_H149 zenon_H148 zenon_H11e zenon_H11f zenon_H120 zenon_H20f zenon_Had zenon_Haf zenon_H1 zenon_H3 zenon_H7. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H5 | zenon_intro zenon_H248 ]. % 0.59/0.80 apply (zenon_L4_); trivial. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H12. zenon_intro zenon_H249. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H23e. zenon_intro zenon_H24a. % 0.59/0.80 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H23d. zenon_intro zenon_H24b. % 0.59/0.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.80 apply (zenon_L228_); trivial. % 0.59/0.80 apply (zenon_L217_); trivial. % 0.59/0.80 (* end of lemma zenon_L229_ *) % 0.59/0.80 assert (zenon_L230_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c9 zenon_H8c zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H23 zenon_H20 zenon_H63 zenon_H11e zenon_H11f zenon_H120 zenon_Hb6 zenon_Had zenon_Haf zenon_H8d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L72_); trivial. % 0.59/0.81 apply (zenon_L160_); trivial. % 0.59/0.81 (* end of lemma zenon_L230_ *) % 0.59/0.81 assert (zenon_L231_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H117 zenon_H118 zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H22c zenon_H22b zenon_H22a zenon_H229 zenon_H1cc zenon_H204 zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_Haf zenon_Had zenon_H1b9 zenon_H23 zenon_H20 zenon_Hf zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H8c zenon_H11a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.81 apply (zenon_L198_); trivial. % 0.59/0.81 apply (zenon_L220_); trivial. % 0.59/0.81 (* end of lemma zenon_L231_ *) % 0.59/0.81 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H12c zenon_H117 zenon_H118 zenon_H22c zenon_H22b zenon_H22a zenon_H229 zenon_H8c zenon_H105 zenon_H221 zenon_H23b zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_Haf zenon_Had zenon_H1f4 zenon_H1b3 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H209 zenon_H12f zenon_H13c zenon_H130 zenon_H141 zenon_H1cc. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.81 apply (zenon_L222_); trivial. % 0.59/0.81 apply (zenon_L220_); trivial. % 0.59/0.81 (* end of lemma zenon_L232_ *) % 0.59/0.81 assert (zenon_L233_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp12)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H1b7 zenon_Hd. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1ba ]. % 0.59/0.81 apply (zenon_L114_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1b8 | zenon_intro zenon_He ]. % 0.59/0.81 exact (zenon_H1b7 zenon_H1b8). % 0.59/0.81 exact (zenon_Hd zenon_He). % 0.59/0.81 (* end of lemma zenon_L233_ *) % 0.59/0.81 assert (zenon_L234_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_Hf zenon_Hb zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hd zenon_H1b9. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L130_); trivial. % 0.59/0.81 (* end of lemma zenon_L234_ *) % 0.59/0.81 assert (zenon_L235_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11a zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hf zenon_Hb zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1b9 zenon_H46 zenon_H48 zenon_H4a zenon_H1cc. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L234_); trivial. % 0.59/0.81 apply (zenon_L133_); trivial. % 0.59/0.81 apply (zenon_L76_); trivial. % 0.59/0.81 (* end of lemma zenon_L235_ *) % 0.59/0.81 assert (zenon_L236_ : ((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp16)) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c3_1 (a330))) -> (c1_1 (a330)) -> (c2_1 (a330)) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H74 zenon_H1c5 zenon_H1b3 zenon_H61 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H1bb zenon_H1bc zenon_H1bd zenon_H3 zenon_H19c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.81 apply (zenon_L129_); trivial. % 0.59/0.81 apply (zenon_L181_); trivial. % 0.59/0.81 (* end of lemma zenon_L236_ *) % 0.59/0.81 assert (zenon_L237_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c4 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.81 apply (zenon_L31_); trivial. % 0.59/0.81 apply (zenon_L236_); trivial. % 0.59/0.81 (* end of lemma zenon_L237_ *) % 0.59/0.81 assert (zenon_L238_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H88 zenon_H1c8 zenon_H1c5 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H188 zenon_H189 zenon_H18a zenon_Hd zenon_H1b9. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L195_); trivial. % 0.59/0.81 (* end of lemma zenon_L238_ *) % 0.59/0.81 assert (zenon_L239_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H8c zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1b9 zenon_Hd zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H63 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L237_); trivial. % 0.59/0.81 apply (zenon_L238_); trivial. % 0.59/0.81 (* end of lemma zenon_L239_ *) % 0.59/0.81 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (~(hskp4)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c9 zenon_Hb0 zenon_H18a zenon_H189 zenon_H188 zenon_Ha8. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.81 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H3c | zenon_intro zenon_Hb2 ]. % 0.59/0.81 apply (zenon_L20_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha9 ]. % 0.59/0.81 apply (zenon_L114_); trivial. % 0.59/0.81 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.81 (* end of lemma zenon_L240_ *) % 0.59/0.81 assert (zenon_L241_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_Hda zenon_H1f2. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H1f5 ]. % 0.59/0.81 apply (zenon_L114_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1f3 ]. % 0.59/0.81 exact (zenon_Hda zenon_Hdb). % 0.59/0.81 exact (zenon_H1f2 zenon_H1f3). % 0.59/0.81 (* end of lemma zenon_L241_ *) % 0.59/0.81 assert (zenon_L242_ : ((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (c2_1 (a329)) -> (~(c0_1 (a329))) -> (~(c3_1 (a329))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H74 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1f8 zenon_H1f7 zenon_H1f6 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H61 zenon_H1b3. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.81 apply (zenon_L148_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.81 apply (zenon_L123_); trivial. % 0.59/0.81 apply (zenon_L180_); trivial. % 0.59/0.81 apply (zenon_L181_); trivial. % 0.59/0.81 (* end of lemma zenon_L242_ *) % 0.59/0.81 assert (zenon_L243_ : ((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H206 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1f8. zenon_intro zenon_H208. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.81 apply (zenon_L31_); trivial. % 0.59/0.81 apply (zenon_L242_); trivial. % 0.59/0.81 (* end of lemma zenon_L243_ *) % 0.59/0.81 assert (zenon_L244_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H61 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hda zenon_H1f4. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.81 apply (zenon_L241_); trivial. % 0.59/0.81 apply (zenon_L243_); trivial. % 0.59/0.81 (* end of lemma zenon_L244_ *) % 0.59/0.81 assert (zenon_L245_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp16)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H61 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L244_); trivial. % 0.59/0.81 apply (zenon_L105_); trivial. % 0.59/0.81 (* end of lemma zenon_L245_ *) % 0.59/0.81 assert (zenon_L246_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H209 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H89 zenon_H7b zenon_H7c zenon_H6d zenon_H6c zenon_H6b zenon_H1b3 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hda zenon_H1f4. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.81 apply (zenon_L241_); trivial. % 0.59/0.81 apply (zenon_L172_); trivial. % 0.59/0.81 (* end of lemma zenon_L246_ *) % 0.59/0.81 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H88 zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L246_); trivial. % 0.59/0.81 apply (zenon_L105_); trivial. % 0.59/0.81 (* end of lemma zenon_L247_ *) % 0.59/0.81 assert (zenon_L248_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H8c zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L245_); trivial. % 0.59/0.81 apply (zenon_L247_); trivial. % 0.59/0.81 (* end of lemma zenon_L248_ *) % 0.59/0.81 assert (zenon_L249_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H209 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H46 zenon_H239 zenon_H63 zenon_H61 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hda zenon_H1f4. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.81 apply (zenon_L241_); trivial. % 0.59/0.81 apply (zenon_L205_); trivial. % 0.59/0.81 (* end of lemma zenon_L249_ *) % 0.59/0.81 assert (zenon_L250_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp16)) -> ((hskp26)\/(hskp16)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H61 zenon_H63 zenon_H239 zenon_H46 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H8d zenon_H209. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L249_); trivial. % 0.59/0.81 apply (zenon_L105_); trivial. % 0.59/0.81 (* end of lemma zenon_L250_ *) % 0.59/0.81 assert (zenon_L251_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c9 zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H46 zenon_H239 zenon_H63 zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L250_); trivial. % 0.59/0.81 apply (zenon_L160_); trivial. % 0.59/0.81 (* end of lemma zenon_L251_ *) % 0.59/0.81 assert (zenon_L252_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H204 zenon_H46 zenon_H239 zenon_H105 zenon_H177 zenon_H175 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209 zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H8c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L248_); trivial. % 0.59/0.81 apply (zenon_L251_); trivial. % 0.59/0.81 (* end of lemma zenon_L252_ *) % 0.59/0.81 assert (zenon_L253_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H114 zenon_H11a zenon_H204 zenon_H46 zenon_H239 zenon_H105 zenon_H177 zenon_H175 zenon_H1f4 zenon_H209 zenon_H8c zenon_H89 zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_Ha8 zenon_Hb0 zenon_H1cc. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L239_); trivial. % 0.59/0.81 apply (zenon_L240_); trivial. % 0.59/0.81 apply (zenon_L252_); trivial. % 0.59/0.81 (* end of lemma zenon_L253_ *) % 0.59/0.81 assert (zenon_L254_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H107 zenon_H1c8 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H188 zenon_H189 zenon_H18a zenon_Hd zenon_H1b9. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L154_); trivial. % 0.59/0.81 (* end of lemma zenon_L254_ *) % 0.59/0.81 assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c4 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H7a zenon_H7c zenon_H7b zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.81 apply (zenon_L129_); trivial. % 0.59/0.81 apply (zenon_L151_); trivial. % 0.59/0.81 (* end of lemma zenon_L255_ *) % 0.59/0.81 assert (zenon_L256_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H88 zenon_H1c8 zenon_H1c5 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H188 zenon_H189 zenon_H18a zenon_Hd zenon_H1b9. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L255_); trivial. % 0.59/0.81 (* end of lemma zenon_L256_ *) % 0.59/0.81 assert (zenon_L257_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H1b9 zenon_Hd zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H1c8 zenon_H105. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L244_); trivial. % 0.59/0.81 apply (zenon_L254_); trivial. % 0.59/0.81 apply (zenon_L256_); trivial. % 0.59/0.81 (* end of lemma zenon_L257_ *) % 0.59/0.81 assert (zenon_L258_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1cc zenon_Hb0 zenon_Ha8 zenon_H105 zenon_H1c8 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_Hd zenon_H1b9 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209 zenon_H204 zenon_H8c. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L257_); trivial. % 0.59/0.81 apply (zenon_L240_); trivial. % 0.59/0.81 (* end of lemma zenon_L258_ *) % 0.59/0.81 assert (zenon_L259_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c3_1 (a321)) -> (c2_1 (a321)) -> (~(c1_1 (a321))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H209 zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H7b zenon_H7c zenon_H7a zenon_H94 zenon_H93 zenon_H92 zenon_H1b3 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hda zenon_H1f4. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.81 apply (zenon_L241_); trivial. % 0.59/0.81 apply (zenon_L152_); trivial. % 0.59/0.81 (* end of lemma zenon_L259_ *) % 0.59/0.81 assert (zenon_L260_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H8c zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L245_); trivial. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L259_); trivial. % 0.59/0.81 apply (zenon_L105_); trivial. % 0.59/0.81 (* end of lemma zenon_L260_ *) % 0.59/0.81 assert (zenon_L261_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a309))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H88 zenon_H105 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H1b3 zenon_H6b zenon_H6c zenon_H6d zenon_H89 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L246_); trivial. % 0.59/0.81 apply (zenon_L184_); trivial. % 0.59/0.81 (* end of lemma zenon_L261_ *) % 0.59/0.81 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H114 zenon_H119 zenon_H10f zenon_H8c zenon_H89 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H105 zenon_Ha8 zenon_Hb0 zenon_H1cc. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L244_); trivial. % 0.59/0.81 apply (zenon_L182_); trivial. % 0.59/0.81 apply (zenon_L261_); trivial. % 0.59/0.81 apply (zenon_L240_); trivial. % 0.59/0.81 apply (zenon_L116_); trivial. % 0.59/0.81 (* end of lemma zenon_L262_ *) % 0.59/0.81 assert (zenon_L263_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp16)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H105 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H61 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L244_); trivial. % 0.59/0.81 apply (zenon_L188_); trivial. % 0.59/0.81 (* end of lemma zenon_L263_ *) % 0.59/0.81 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H12c zenon_H119 zenon_H10f zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H1f0 zenon_H105 zenon_Ha8 zenon_Hb0 zenon_H1cc. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L263_); trivial. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L259_); trivial. % 0.59/0.81 apply (zenon_L188_); trivial. % 0.59/0.81 apply (zenon_L240_); trivial. % 0.59/0.81 apply (zenon_L116_); trivial. % 0.59/0.81 (* end of lemma zenon_L264_ *) % 0.59/0.81 assert (zenon_L265_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (c1_1 (a320)) -> (~(c2_1 (a320))) -> (~(c0_1 (a320))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c4 zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H3f zenon_H3e zenon_H3d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H253 ]. % 0.59/0.81 apply (zenon_L69_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H3c | zenon_intro zenon_H191 ]. % 0.59/0.81 apply (zenon_L20_); trivial. % 0.59/0.81 apply (zenon_L128_); trivial. % 0.59/0.81 (* end of lemma zenon_L265_ *) % 0.59/0.81 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c9 zenon_H1c8 zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H188 zenon_H189 zenon_H18a zenon_Hd zenon_H1b9. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L265_); trivial. % 0.59/0.81 (* end of lemma zenon_L266_ *) % 0.59/0.81 assert (zenon_L267_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11a zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hf zenon_Hb zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1b9 zenon_H11e zenon_H11f zenon_H120 zenon_H252 zenon_H1cc. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L234_); trivial. % 0.59/0.81 apply (zenon_L266_); trivial. % 0.59/0.81 apply (zenon_L76_); trivial. % 0.59/0.81 (* end of lemma zenon_L267_ *) % 0.59/0.81 assert (zenon_L268_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (c1_1 (a320)) -> (~(c2_1 (a320))) -> (~(c0_1 (a320))) -> (ndr1_0) -> (~(c3_1 (a329))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c0_1 (a329))) -> (c2_1 (a329)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H3f zenon_H3e zenon_H3d zenon_H12 zenon_H1f6 zenon_H19e zenon_H1f7 zenon_H1f8. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H253 ]. % 0.59/0.81 apply (zenon_L69_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H3c | zenon_intro zenon_H191 ]. % 0.59/0.81 apply (zenon_L20_); trivial. % 0.59/0.81 apply (zenon_L147_); trivial. % 0.59/0.81 (* end of lemma zenon_L268_ *) % 0.59/0.81 assert (zenon_L269_ : ((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> (~(c0_1 (a320))) -> (~(c2_1 (a320))) -> (c1_1 (a320)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H206 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H11e zenon_H11f zenon_H120 zenon_H3d zenon_H3e zenon_H3f zenon_H252 zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1f8. zenon_intro zenon_H208. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.81 apply (zenon_L31_); trivial. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.81 apply (zenon_L268_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.81 apply (zenon_L123_); trivial. % 0.59/0.81 apply (zenon_L180_); trivial. % 0.59/0.81 (* end of lemma zenon_L269_ *) % 0.59/0.81 assert (zenon_L270_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> (~(c0_1 (a320))) -> (~(c2_1 (a320))) -> (c1_1 (a320)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H209 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H11e zenon_H11f zenon_H120 zenon_H3d zenon_H3e zenon_H3f zenon_H252 zenon_H63 zenon_H61 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hda zenon_H1f4. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.81 apply (zenon_L241_); trivial. % 0.59/0.81 apply (zenon_L269_); trivial. % 0.59/0.81 (* end of lemma zenon_L270_ *) % 0.59/0.81 assert (zenon_L271_ : ((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c9 zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H11e zenon_H11f zenon_H120 zenon_H252 zenon_H63 zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L270_); trivial. % 0.59/0.81 apply (zenon_L105_); trivial. % 0.59/0.81 apply (zenon_L160_); trivial. % 0.59/0.81 (* end of lemma zenon_L271_ *) % 0.59/0.81 assert (zenon_L272_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c2_1 (a309))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H204 zenon_H11e zenon_H11f zenon_H120 zenon_H252 zenon_H105 zenon_H177 zenon_H175 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209 zenon_H89 zenon_H6d zenon_H6c zenon_H6b zenon_H8c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L248_); trivial. % 0.59/0.81 apply (zenon_L271_); trivial. % 0.59/0.81 (* end of lemma zenon_L272_ *) % 0.59/0.81 assert (zenon_L273_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H114 zenon_H11a zenon_H204 zenon_H105 zenon_H177 zenon_H175 zenon_H1f4 zenon_H209 zenon_H8c zenon_H89 zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H11e zenon_H11f zenon_H120 zenon_H252 zenon_H1cc. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L239_); trivial. % 0.59/0.81 apply (zenon_L266_); trivial. % 0.59/0.81 apply (zenon_L272_); trivial. % 0.59/0.81 (* end of lemma zenon_L273_ *) % 0.59/0.81 assert (zenon_L274_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11a zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H36 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hf zenon_Hb zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1b9 zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H204 zenon_H8c zenon_H1cc. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L234_); trivial. % 0.59/0.81 apply (zenon_L197_); trivial. % 0.59/0.81 apply (zenon_L76_); trivial. % 0.59/0.81 (* end of lemma zenon_L274_ *) % 0.59/0.81 assert (zenon_L275_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> (~(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H12f zenon_H13c zenon_H130 zenon_Hb zenon_H141 zenon_H105 zenon_H177 zenon_H175 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209 zenon_H204 zenon_H94 zenon_H93 zenon_H92 zenon_H8c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L260_); trivial. % 0.59/0.81 apply (zenon_L197_); trivial. % 0.59/0.81 (* end of lemma zenon_L275_ *) % 0.59/0.81 assert (zenon_L276_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H114 zenon_H11a zenon_H46 zenon_H239 zenon_H177 zenon_H175 zenon_H89 zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H1b9 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H1c8 zenon_H105 zenon_Ha8 zenon_Hb0 zenon_H1cc. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_L258_); trivial. % 0.59/0.81 apply (zenon_L252_); trivial. % 0.59/0.81 (* end of lemma zenon_L276_ *) % 0.59/0.81 assert (zenon_L277_ : ((ndr1_0)/\((c0_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H185 zenon_H119 zenon_H10f zenon_Ha8 zenon_H18a zenon_H189 zenon_H188 zenon_H12f zenon_H13c zenon_H130 zenon_H183. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.81 apply (zenon_L108_); trivial. % 0.59/0.81 apply (zenon_L116_); trivial. % 0.59/0.81 (* end of lemma zenon_L277_ *) % 0.59/0.81 assert (zenon_L278_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1cc zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H105 zenon_H1c8 zenon_H92 zenon_H93 zenon_H94 zenon_H1f0 zenon_Hd zenon_H1b9 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209 zenon_H204 zenon_H8c. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L257_); trivial. % 0.59/0.81 apply (zenon_L266_); trivial. % 0.59/0.81 (* end of lemma zenon_L278_ *) % 0.59/0.81 assert (zenon_L279_ : (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(c0_1 (a330))) -> (~(c3_1 (a330))) -> (c2_1 (a330)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H235 zenon_H12 zenon_H254 zenon_H1bb zenon_H1bd. % 0.59/0.81 generalize (zenon_H235 (a330)). zenon_intro zenon_H255. % 0.59/0.81 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 0.59/0.81 exact (zenon_H11 zenon_H12). % 0.59/0.81 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.59/0.81 exact (zenon_H254 zenon_H258). % 0.59/0.81 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c2 ]. % 0.59/0.81 exact (zenon_H1bb zenon_H1c1). % 0.59/0.81 exact (zenon_H1c2 zenon_H1bd). % 0.59/0.81 (* end of lemma zenon_L279_ *) % 0.59/0.81 assert (zenon_L280_ : ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> (c1_1 (a330)) -> (c2_1 (a330)) -> (~(c3_1 (a330))) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp8)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1de zenon_H1bc zenon_H1bd zenon_H1bb zenon_H235 zenon_H12 zenon_H1 zenon_H46. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1e1 ]. % 0.59/0.81 generalize (zenon_H1d3 (a330)). zenon_intro zenon_H259. % 0.59/0.81 apply (zenon_imply_s _ _ zenon_H259); [ zenon_intro zenon_H11 | zenon_intro zenon_H25a ]. % 0.59/0.81 exact (zenon_H11 zenon_H12). % 0.59/0.81 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H254 | zenon_intro zenon_H1c0 ]. % 0.59/0.81 apply (zenon_L279_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.59/0.81 exact (zenon_H1c3 zenon_H1bc). % 0.59/0.81 exact (zenon_H1c2 zenon_H1bd). % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H2 | zenon_intro zenon_H47 ]. % 0.59/0.81 exact (zenon_H1 zenon_H2). % 0.59/0.81 exact (zenon_H46 zenon_H47). % 0.59/0.81 (* end of lemma zenon_L280_ *) % 0.59/0.81 assert (zenon_L281_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> (c2_1 (a330)) -> (c1_1 (a330)) -> (~(c3_1 (a330))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H239 zenon_H1 zenon_H1de zenon_H1bd zenon_H1bc zenon_H1bb zenon_H12 zenon_H46. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H235 | zenon_intro zenon_H23a ]. % 0.59/0.81 apply (zenon_L280_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H191 | zenon_intro zenon_H47 ]. % 0.59/0.81 apply (zenon_L128_); trivial. % 0.59/0.81 exact (zenon_H46 zenon_H47). % 0.59/0.81 (* end of lemma zenon_L281_ *) % 0.59/0.81 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> (~(hskp6)) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> (~(hskp8)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H1c4 zenon_H239 zenon_H1 zenon_H1de zenon_H46. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.81 apply (zenon_L281_); trivial. % 0.59/0.81 (* end of lemma zenon_L282_ *) % 0.59/0.81 assert (zenon_L283_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a321))) -> (c2_1 (a321)) -> (c3_1 (a321)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H6b zenon_H6d zenon_H6c zenon_H16b zenon_H12 zenon_H7a zenon_H7c zenon_H7b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H205 ]. % 0.59/0.81 apply (zenon_L123_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H3c | zenon_intro zenon_Haa ]. % 0.59/0.81 apply (zenon_L101_); trivial. % 0.59/0.81 apply (zenon_L45_); trivial. % 0.59/0.81 (* end of lemma zenon_L283_ *) % 0.59/0.81 assert (zenon_L284_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> False). % 0.59/0.81 do 0 intro. intros zenon_H88 zenon_H24c zenon_H14a zenon_H149 zenon_H148 zenon_H18a zenon_H189 zenon_H188 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H6b zenon_H6d zenon_H6c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H147 | zenon_intro zenon_H24d ]. % 0.59/0.81 apply (zenon_L87_); trivial. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H16b ]. % 0.59/0.81 apply (zenon_L114_); trivial. % 0.59/0.81 apply (zenon_L283_); trivial. % 0.59/0.81 (* end of lemma zenon_L284_ *) % 0.59/0.81 assert (zenon_L285_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall X85 : zenon_U, ((ndr1_0)->((~(c0_1 X85))\/((~(c1_1 X85))\/(~(c2_1 X85))))))\/((hskp6)\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H114 zenon_H11a zenon_H8c zenon_H24c zenon_H204 zenon_H14a zenon_H149 zenon_H148 zenon_H209 zenon_H8d zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H63 zenon_H20 zenon_H23 zenon_H1f4 zenon_H175 zenon_H177 zenon_H105 zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H1de zenon_H46 zenon_H1 zenon_H239 zenon_H1c8. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.81 apply (zenon_L233_); trivial. % 0.59/0.81 apply (zenon_L282_); trivial. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L250_); trivial. % 0.59/0.81 apply (zenon_L284_); trivial. % 0.59/0.81 (* end of lemma zenon_L285_ *) % 0.59/0.81 assert (zenon_L286_ : ((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H88 zenon_H105 zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H1b3 zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H3 zenon_H19c zenon_H1c5 zenon_H209. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7c. zenon_intro zenon_H8b. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.81 apply (zenon_L259_); trivial. % 0.59/0.81 apply (zenon_L212_); trivial. % 0.59/0.81 (* end of lemma zenon_L286_ *) % 0.59/0.81 assert (zenon_L287_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (c1_1 (a308)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c0_1 (a310))) -> (~(c2_1 (a310))) -> (c3_1 (a310)) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H8c zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H92 zenon_H93 zenon_H94 zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H58 zenon_H59 zenon_H5a zenon_H175 zenon_H177 zenon_H105. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L245_); trivial. % 0.59/0.81 apply (zenon_L286_); trivial. % 0.59/0.81 (* end of lemma zenon_L287_ *) % 0.59/0.81 assert (zenon_L288_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(hskp11)) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H11a zenon_H177 zenon_H175 zenon_H20f zenon_H148 zenon_H149 zenon_H14a zenon_H106 zenon_Hb zenon_H23b zenon_H221 zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H1b9 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H1c8 zenon_H105 zenon_H46 zenon_H48 zenon_H4a zenon_H1cc. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L257_); trivial. % 0.59/0.81 apply (zenon_L133_); trivial. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.81 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.81 apply (zenon_L287_); trivial. % 0.59/0.81 apply (zenon_L133_); trivial. % 0.59/0.81 (* end of lemma zenon_L288_ *) % 0.59/0.81 assert (zenon_L289_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(hskp15)) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> (~(hskp13)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> False). % 0.59/0.81 do 0 intro. intros zenon_H8c zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H3 zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H17a zenon_H17b zenon_H17c zenon_Hc3 zenon_H183 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H105. % 0.59/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.81 apply (zenon_L263_); trivial. % 0.59/0.81 apply (zenon_L286_); trivial. % 0.59/0.81 (* end of lemma zenon_L289_ *) % 0.59/0.81 assert (zenon_L290_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (~(c1_1 (a313))) -> (c0_1 (a313)) -> (c3_1 (a313)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H107 zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H93 zenon_H92 zenon_H94 zenon_Hf8 zenon_Hf7 zenon_Hf9 zenon_H48 zenon_H224. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H3c | zenon_intro zenon_H225 ]. % 0.59/0.82 apply (zenon_L164_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H10b | zenon_intro zenon_H49 ]. % 0.59/0.82 apply (zenon_L63_); trivial. % 0.59/0.82 exact (zenon_H48 zenon_H49). % 0.59/0.82 apply (zenon_L211_); trivial. % 0.59/0.82 (* end of lemma zenon_L290_ *) % 0.59/0.82 assert (zenon_L291_ : ((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H111 zenon_H1cc zenon_H105 zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H93 zenon_H92 zenon_H94 zenon_H48 zenon_H224 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_H1c5 zenon_H8d zenon_H209 zenon_H204 zenon_H8c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Hf7. zenon_intro zenon_H113. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L244_); trivial. % 0.59/0.82 apply (zenon_L290_); trivial. % 0.59/0.82 apply (zenon_L286_); trivial. % 0.59/0.82 apply (zenon_L190_); trivial. % 0.59/0.82 (* end of lemma zenon_L291_ *) % 0.59/0.82 assert (zenon_L292_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H119 zenon_H224 zenon_H8c zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H105 zenon_H46 zenon_H48 zenon_H4a zenon_H1cc. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_L289_); trivial. % 0.59/0.82 apply (zenon_L133_); trivial. % 0.59/0.82 apply (zenon_L291_); trivial. % 0.59/0.82 (* end of lemma zenon_L292_ *) % 0.59/0.82 assert (zenon_L293_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a329))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6))))) -> (~(c0_1 (a329))) -> (c2_1 (a329)) -> False). % 0.59/0.82 do 0 intro. intros zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H6b zenon_H6d zenon_H6c zenon_H16b zenon_H12 zenon_H1f6 zenon_H19e zenon_H1f7 zenon_H1f8. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H253 ]. % 0.59/0.82 apply (zenon_L69_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H3c | zenon_intro zenon_H191 ]. % 0.59/0.82 apply (zenon_L101_); trivial. % 0.59/0.82 apply (zenon_L147_); trivial. % 0.59/0.82 (* end of lemma zenon_L293_ *) % 0.59/0.82 assert (zenon_L294_ : ((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H206 zenon_H8d zenon_H24c zenon_H252 zenon_H6b zenon_H6d zenon_H6c zenon_H120 zenon_H11f zenon_H11e zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H18a zenon_H189 zenon_H188 zenon_H14a zenon_H149 zenon_H148 zenon_H63 zenon_H61 zenon_H20 zenon_H23. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H12. zenon_intro zenon_H207. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1f8. zenon_intro zenon_H208. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1f7. zenon_intro zenon_H1f6. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.82 apply (zenon_L31_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H147 | zenon_intro zenon_H24d ]. % 0.59/0.82 apply (zenon_L87_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H16b ]. % 0.59/0.82 apply (zenon_L114_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H19e | zenon_intro zenon_H1b6 ]. % 0.59/0.82 apply (zenon_L293_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H24 ]. % 0.59/0.82 apply (zenon_L123_); trivial. % 0.59/0.82 apply (zenon_L180_); trivial. % 0.59/0.82 (* end of lemma zenon_L294_ *) % 0.59/0.82 assert (zenon_L295_ : ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((hskp26)\/(hskp16)) -> (~(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> (~(hskp17)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H209 zenon_H8d zenon_H24c zenon_H252 zenon_H6b zenon_H6d zenon_H6c zenon_H120 zenon_H11f zenon_H11e zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H14a zenon_H149 zenon_H148 zenon_H63 zenon_H61 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_Hda zenon_H1f4. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H206 ]. % 0.59/0.82 apply (zenon_L241_); trivial. % 0.59/0.82 apply (zenon_L294_); trivial. % 0.59/0.82 (* end of lemma zenon_L295_ *) % 0.59/0.82 assert (zenon_L296_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c3_1 (a346))) -> (~(c1_1 (a346))) -> (~(c0_1 (a346))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a323))) -> (c0_1 (a323)) -> (c2_1 (a323)) -> False). % 0.59/0.82 do 0 intro. intros zenon_H1f0 zenon_H1a1 zenon_H1a0 zenon_H19f zenon_H6b zenon_H6d zenon_H6c zenon_H16b zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H19e | zenon_intro zenon_H1f1 ]. % 0.59/0.82 apply (zenon_L122_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H3c | zenon_intro zenon_Hed ]. % 0.59/0.82 apply (zenon_L101_); trivial. % 0.59/0.82 apply (zenon_L60_); trivial. % 0.59/0.82 (* end of lemma zenon_L296_ *) % 0.59/0.82 assert (zenon_L297_ : ((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> (~(c3_1 (a323))) -> (c0_1 (a323)) -> (c2_1 (a323)) -> False). % 0.59/0.82 do 0 intro. intros zenon_H1b2 zenon_H24c zenon_H14a zenon_H149 zenon_H148 zenon_H18a zenon_H189 zenon_H188 zenon_H1f0 zenon_H6b zenon_H6d zenon_H6c zenon_Hee zenon_Hef zenon_Hf0. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1b2). zenon_intro zenon_H12. zenon_intro zenon_H1b4. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H19f. zenon_intro zenon_H1b5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H147 | zenon_intro zenon_H24d ]. % 0.59/0.82 apply (zenon_L87_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H16b ]. % 0.59/0.82 apply (zenon_L114_); trivial. % 0.59/0.82 apply (zenon_L296_); trivial. % 0.59/0.82 (* end of lemma zenon_L297_ *) % 0.59/0.82 assert (zenon_L298_ : ((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330)))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(c2_1 (a309))) -> (~(c3_1 (a323))) -> (c0_1 (a323)) -> (c2_1 (a323)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(hskp15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H1c4 zenon_H1c5 zenon_H24c zenon_H6c zenon_H6d zenon_H6b zenon_Hee zenon_Hef zenon_Hf0 zenon_H1f0 zenon_H18a zenon_H189 zenon_H188 zenon_H14a zenon_H149 zenon_H148 zenon_H3 zenon_H19c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H12. zenon_intro zenon_H1c6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1bc. zenon_intro zenon_H1c7. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H1bd. zenon_intro zenon_H1bb. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b2 ]. % 0.59/0.82 apply (zenon_L129_); trivial. % 0.59/0.82 apply (zenon_L297_); trivial. % 0.59/0.82 (* end of lemma zenon_L298_ *) % 0.59/0.82 assert (zenon_L299_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a310)) -> (~(c2_1 (a310))) -> (~(c0_1 (a310))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp16)) -> ((hskp26)\/(hskp16)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H105 zenon_H177 zenon_H175 zenon_H5a zenon_H59 zenon_H58 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H61 zenon_H63 zenon_H148 zenon_H149 zenon_H14a zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H11e zenon_H11f zenon_H120 zenon_H6c zenon_H6d zenon_H6b zenon_H252 zenon_H24c zenon_H8d zenon_H209. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L295_); trivial. % 0.59/0.82 apply (zenon_L105_); trivial. % 0.59/0.82 (* end of lemma zenon_L299_ *) % 0.59/0.82 assert (zenon_L300_ : ((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/(hskp16)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H11b zenon_H1cc zenon_H204 zenon_H105 zenon_H177 zenon_H175 zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_H63 zenon_H148 zenon_H149 zenon_H14a zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H11e zenon_H11f zenon_H120 zenon_H6c zenon_H6d zenon_H6b zenon_H252 zenon_H24c zenon_H8d zenon_H209 zenon_H1c5 zenon_H19c zenon_H89 zenon_H8c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L299_); trivial. % 0.59/0.82 apply (zenon_L247_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L299_); trivial. % 0.59/0.82 apply (zenon_L160_); trivial. % 0.59/0.82 (* end of lemma zenon_L300_ *) % 0.59/0.82 assert (zenon_L301_ : ((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H114 zenon_H11a zenon_H177 zenon_H175 zenon_H89 zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H24c zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H14a zenon_H149 zenon_H148 zenon_H63 zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H1b9 zenon_H19c zenon_H1f0 zenon_H1c5 zenon_H1c8 zenon_H105 zenon_H1cc. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L295_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1c4 ]. % 0.59/0.82 apply (zenon_L233_); trivial. % 0.59/0.82 apply (zenon_L298_); trivial. % 0.59/0.82 apply (zenon_L284_); trivial. % 0.59/0.82 apply (zenon_L266_); trivial. % 0.59/0.82 apply (zenon_L300_); trivial. % 0.59/0.82 (* end of lemma zenon_L301_ *) % 0.59/0.82 assert (zenon_L302_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(hskp11)) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H11a zenon_H177 zenon_H175 zenon_H20f zenon_H148 zenon_H149 zenon_H14a zenon_H106 zenon_Hb zenon_H23b zenon_H221 zenon_H8c zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H1b9 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H1c8 zenon_H105 zenon_H11e zenon_H11f zenon_H120 zenon_H252 zenon_H1cc. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L278_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_L287_); trivial. % 0.59/0.82 apply (zenon_L271_); trivial. % 0.59/0.82 (* end of lemma zenon_L302_ *) % 0.59/0.82 assert (zenon_L303_ : ((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (~(c2_1 (a309))) -> (c3_1 (a309)) -> (c1_1 (a309)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (~(hskp13)) -> False). % 0.59/0.82 do 0 intro. intros zenon_H107 zenon_H24c zenon_H14a zenon_H149 zenon_H148 zenon_H18a zenon_H189 zenon_H188 zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H6b zenon_H6d zenon_H6c zenon_H183 zenon_H17c zenon_H17b zenon_H17a zenon_Hc3. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H147 | zenon_intro zenon_H24d ]. % 0.59/0.82 apply (zenon_L87_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H16b ]. % 0.59/0.82 apply (zenon_L114_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H253 ]. % 0.59/0.82 apply (zenon_L69_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H3c | zenon_intro zenon_H191 ]. % 0.59/0.82 apply (zenon_L101_); trivial. % 0.59/0.82 apply (zenon_L178_); trivial. % 0.59/0.82 (* end of lemma zenon_L303_ *) % 0.59/0.82 assert (zenon_L304_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> (c1_1 (a308)) -> (~(c0_1 (a308))) -> (c3_1 (a308)) -> (~(hskp28)) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (c2_1 (a323)) -> (~(c3_1 (a323))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.59/0.82 do 0 intro. intros zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H94 zenon_H92 zenon_H93 zenon_H20d zenon_H20f zenon_H183 zenon_H17c zenon_H17b zenon_H17a zenon_Hf0 zenon_Hee zenon_H12 zenon_Hc3. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H253 ]. % 0.59/0.82 apply (zenon_L69_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H3c | zenon_intro zenon_H191 ]. % 0.59/0.82 apply (zenon_L164_); trivial. % 0.59/0.82 apply (zenon_L178_); trivial. % 0.59/0.82 (* end of lemma zenon_L304_ *) % 0.59/0.82 assert (zenon_L305_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((~(c0_1 X31))\/(~(c3_1 X31))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp26)\/(hskp16)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c0_1 (a307)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H119 zenon_H48 zenon_H224 zenon_H8c zenon_H221 zenon_H23b zenon_Hb zenon_H106 zenon_H14a zenon_H149 zenon_H148 zenon_H20f zenon_H204 zenon_H209 zenon_H8d zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_Hb6 zenon_H1b3 zenon_H63 zenon_H20 zenon_H23 zenon_H12 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H17a zenon_H17b zenon_H17c zenon_H183 zenon_H1f0 zenon_H94 zenon_H93 zenon_H92 zenon_H105 zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H1cc. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_L289_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L270_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.82 apply (zenon_L304_); trivial. % 0.59/0.82 apply (zenon_L211_); trivial. % 0.59/0.82 apply (zenon_L160_); trivial. % 0.59/0.82 apply (zenon_L291_); trivial. % 0.59/0.82 (* end of lemma zenon_L305_ *) % 0.59/0.82 assert (zenon_L306_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> (c1_1 (a308)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> (~(hskp16)) -> ((hskp26)\/(hskp16)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> (~(c0_1 (a305))) -> (~(c1_1 (a305))) -> (c2_1 (a305)) -> (c1_1 (a309)) -> (c3_1 (a309)) -> (~(c2_1 (a309))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H105 zenon_H221 zenon_H23b zenon_H89 zenon_H20f zenon_H93 zenon_H92 zenon_H94 zenon_H183 zenon_Hc3 zenon_H17c zenon_H17b zenon_H17a zenon_H1f4 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_H61 zenon_H63 zenon_H148 zenon_H149 zenon_H14a zenon_H1b3 zenon_Hb6 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H11e zenon_H11f zenon_H120 zenon_H6c zenon_H6d zenon_H6b zenon_H252 zenon_H24c zenon_H8d zenon_H209. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L295_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H107). zenon_intro zenon_H12. zenon_intro zenon_H108. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_Hef. zenon_intro zenon_H109. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H109). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H20d | zenon_intro zenon_H21e ]. % 0.59/0.82 apply (zenon_L304_); trivial. % 0.59/0.82 apply (zenon_L217_); trivial. % 0.59/0.82 (* end of lemma zenon_L306_ *) % 0.59/0.82 assert (zenon_L307_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((hskp8)\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H117 zenon_H118 zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H22c zenon_H22b zenon_H22a zenon_H229 zenon_H1cc zenon_H4a zenon_H48 zenon_H46 zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_Hf zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H11a. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L235_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 (* end of lemma zenon_L307_ *) % 0.59/0.82 assert (zenon_L308_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> (~(c1_1 (a302))) -> (~(c2_1 (a302))) -> (c0_1 (a302)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a305)) -> (~(c1_1 (a305))) -> (~(c0_1 (a305))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H117 zenon_H118 zenon_H23b zenon_H14a zenon_H149 zenon_H148 zenon_H22c zenon_H22b zenon_H22a zenon_H229 zenon_H1cc zenon_H252 zenon_H120 zenon_H11f zenon_H11e zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H12 zenon_H23 zenon_H20 zenon_Hf zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H36 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H11a. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L267_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 (* end of lemma zenon_L308_ *) % 0.59/0.82 assert (zenon_L309_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (~(hskp11)) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (c1_1 (a308)) -> (c3_1 (a308)) -> (~(c0_1 (a308))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H1cc zenon_H141 zenon_Hb zenon_H130 zenon_H13c zenon_H12f zenon_H12 zenon_H209 zenon_H1c5 zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H204 zenon_H94 zenon_H93 zenon_H92 zenon_H1b3 zenon_H188 zenon_H189 zenon_H18a zenon_H1f4 zenon_H20f zenon_H148 zenon_H149 zenon_H14a zenon_H106 zenon_H23b zenon_H221 zenon_H105 zenon_H8c. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L83_); trivial. % 0.59/0.82 apply (zenon_L286_); trivial. % 0.59/0.82 apply (zenon_L197_); trivial. % 0.59/0.82 (* end of lemma zenon_L309_ *) % 0.59/0.82 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> (~(c3_1 (a294))) -> (~(c2_1 (a294))) -> (~(c0_1 (a294))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> (~(c1_1 (a295))) -> (c0_1 (a295)) -> (c2_1 (a295)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> (c2_1 (a301)) -> (~(c3_1 (a301))) -> (~(c1_1 (a301))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> (~(c0_1 (a300))) -> (~(c1_1 (a300))) -> (~(c2_1 (a300))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H185 zenon_H12b zenon_H105 zenon_H221 zenon_H106 zenon_H20f zenon_H1f4 zenon_H209 zenon_H11a zenon_H1c8 zenon_H8d zenon_H1c5 zenon_H1b3 zenon_H38 zenon_H1ab zenon_H1aa zenon_H1a9 zenon_H19c zenon_Hf zenon_H20 zenon_H23 zenon_H188 zenon_H189 zenon_H18a zenon_H1b9 zenon_H141 zenon_H130 zenon_H13c zenon_H12f zenon_H204 zenon_H8c zenon_H1cc zenon_H183 zenon_H229 zenon_H89 zenon_H148 zenon_H149 zenon_H14a zenon_H23b zenon_H118 zenon_H119 zenon_H117. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L274_); trivial. % 0.59/0.82 apply (zenon_L225_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L309_); trivial. % 0.59/0.82 apply (zenon_L225_); trivial. % 0.59/0.82 (* end of lemma zenon_L310_ *) % 0.59/0.82 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a305))/\((~(c0_1 (a305)))/\(~(c1_1 (a305)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((c3_1 X56)\/(~(c0_1 X56))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/(hskp13))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((c2_1 X50)\/(~(c0_1 X50))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp14))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a315))/\((c2_1 (a315))/\(~(c0_1 (a315))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a313))/\((c3_1 (a313))/\(~(c1_1 (a313))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a309))/\((c3_1 (a309))/\(~(c2_1 (a309))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))) -> ((~(hskp18))\/((ndr1_0)/\((c2_1 (a329))/\((~(c0_1 (a329)))/\(~(c3_1 (a329))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c0_1 X3))\/((~(c1_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c3_1 X52))))))\/(hskp16)) -> (~(c2_1 (a300))) -> (~(c1_1 (a300))) -> (~(c0_1 (a300))) -> ((hskp26)\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp17)\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a323))/\((c2_1 (a323))/\(~(c3_1 (a323))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a320))/\((~(c0_1 (a320)))/\(~(c2_1 (a320))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a321))/\((c3_1 (a321))/\(~(c1_1 (a321))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c2_1 X16))\/(~(c3_1 X16)))))))) -> (~(c1_1 (a301))) -> (~(c3_1 (a301))) -> (c2_1 (a301)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c3_1 X57)\/(~(c2_1 X57))))))\/((hskp11)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((~(c0_1 X2))\/(~(c2_1 X2))))))\/((hskp19)\/(hskp12))) -> (c2_1 (a295)) -> (c0_1 (a295)) -> (~(c1_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a349))/\((~(c2_1 (a349)))/\(~(c3_1 (a349))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c2_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/(hskp21)) -> ((hskp26)\/((hskp11)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c3_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp15)\/(hskp25))) -> (~(c0_1 (a294))) -> (~(c2_1 (a294))) -> (~(c3_1 (a294))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c2_1 X36)\/(~(c3_1 X36))))))\/((hskp10)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(c3_1 X6)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a346)))/\((~(c1_1 (a346)))/\(~(c3_1 (a346))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a336))/\((~(c0_1 (a336)))/\(~(c1_1 (a336))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a330))/\((c2_1 (a330))/\(~(c3_1 (a330))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a310))/\((~(c0_1 (a310)))/\(~(c2_1 (a310))))))) -> ((forall X83 : zenon_U, ((ndr1_0)->((~(c1_1 X83))\/((~(c2_1 X83))\/(~(c3_1 X83))))))\/(hskp28)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c2_1 X11))))))\/((forall X77 : zenon_U, ((ndr1_0)->((~(c0_1 X77))\/((~(c2_1 X77))\/(~(c3_1 X77))))))\/(hskp11))) -> ((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)->((c0_1 W)\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a353))/\((c2_1 (a353))/\(c3_1 (a353)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a308))/\((c3_1 (a308))/\(~(c0_1 (a308))))))) -> False). % 0.59/0.82 do 0 intro. intros zenon_H226 zenon_H25b zenon_H183 zenon_H229 zenon_H118 zenon_H119 zenon_H117 zenon_H177 zenon_H89 zenon_H209 zenon_H24c zenon_H252 zenon_Hb6 zenon_H14a zenon_H149 zenon_H148 zenon_H63 zenon_H1f4 zenon_H1f0 zenon_H105 zenon_H1cc zenon_H8c zenon_H204 zenon_H12f zenon_H13c zenon_H130 zenon_H141 zenon_H1b9 zenon_H18a zenon_H189 zenon_H188 zenon_H23 zenon_H20 zenon_Hf zenon_H19c zenon_H1a9 zenon_H1aa zenon_H1ab zenon_H38 zenon_H1b3 zenon_H1c5 zenon_H8d zenon_H1c8 zenon_H11a zenon_H20f zenon_H106 zenon_H23b zenon_H221 zenon_H12b. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L274_); trivial. % 0.59/0.82 apply (zenon_L301_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L309_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L295_); trivial. % 0.59/0.82 apply (zenon_L254_); trivial. % 0.59/0.82 apply (zenon_L238_); trivial. % 0.59/0.82 apply (zenon_L266_); trivial. % 0.59/0.82 apply (zenon_L300_); trivial. % 0.59/0.82 apply (zenon_L310_); trivial. % 0.59/0.82 (* end of lemma zenon_L311_ *) % 0.59/0.82 apply NNPP. intro zenon_G. % 0.59/0.82 apply zenon_G. zenon_intro zenon_H25c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H25e. zenon_intro zenon_H25d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H260. zenon_intro zenon_H25f. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H262. zenon_intro zenon_H261. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H264. zenon_intro zenon_H263. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H266. zenon_intro zenon_H265. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H143. zenon_intro zenon_H267. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H269. zenon_intro zenon_H268. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H26b. zenon_intro zenon_H26a. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H26d. zenon_intro zenon_H26c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H25b. zenon_intro zenon_H26e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H12b. zenon_intro zenon_H26f. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H117. zenon_intro zenon_H270. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H11a. zenon_intro zenon_H271. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H119. zenon_intro zenon_H272. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H118. zenon_intro zenon_H273. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H273). zenon_intro zenon_H1cc. zenon_intro zenon_H274. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H8c. zenon_intro zenon_H275. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H105. zenon_intro zenon_H276. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H209. zenon_intro zenon_H277. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H1c8. zenon_intro zenon_H278. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_Hd6. zenon_intro zenon_H279. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H8d. zenon_intro zenon_H27a. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H27c. zenon_intro zenon_H27b. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H251. zenon_intro zenon_H27d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_Hea. zenon_intro zenon_H27e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H1c5. zenon_intro zenon_H27f. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H23. zenon_intro zenon_H280. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H1ee. zenon_intro zenon_H281. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H221. zenon_intro zenon_H282. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H1ef. zenon_intro zenon_H283. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H23b. zenon_intro zenon_H284. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H286. zenon_intro zenon_H285. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H24c. zenon_intro zenon_H287. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H158. zenon_intro zenon_H288. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1b3. zenon_intro zenon_H289. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H1f0. zenon_intro zenon_H28a. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H252. zenon_intro zenon_H28b. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Haf. zenon_intro zenon_H28c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H75. zenon_intro zenon_H28d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H90. zenon_intro zenon_H28e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H204. zenon_intro zenon_H28f. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H159. zenon_intro zenon_H290. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H292. zenon_intro zenon_H291. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_Hb0. zenon_intro zenon_H293. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H224. zenon_intro zenon_H294. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H296. zenon_intro zenon_H295. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H298. zenon_intro zenon_H297. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H4a. zenon_intro zenon_H299. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H177. zenon_intro zenon_H29a. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H38. zenon_intro zenon_H29b. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H169. zenon_intro zenon_H29c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H239. zenon_intro zenon_H29d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H56. zenon_intro zenon_H29e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_Hc5. zenon_intro zenon_H29f. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H2a1. zenon_intro zenon_H2a0. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H39. zenon_intro zenon_H2a2. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H229. zenon_intro zenon_H2a3. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H2a5. zenon_intro zenon_H2a4. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_Hb6. zenon_intro zenon_H2a8. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H183. zenon_intro zenon_H2a9. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ab. zenon_intro zenon_H2aa. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H2ad. zenon_intro zenon_H2ac. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H141. zenon_intro zenon_H2ae. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H10f. zenon_intro zenon_H2af. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H1f4. zenon_intro zenon_H2b0. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H1b9. zenon_intro zenon_H2b1. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_Hc1. zenon_intro zenon_H2b2. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H20. zenon_intro zenon_H2b5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2bb. zenon_intro zenon_H2ba. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H89. zenon_intro zenon_H2bc. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2be. zenon_intro zenon_H2bd. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H106. zenon_intro zenon_H2c1. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c3. zenon_intro zenon_H2c2. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H19c. zenon_intro zenon_H2c4. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H1de. zenon_intro zenon_H2c5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H173. zenon_intro zenon_H2c8. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H20f. zenon_intro zenon_H2c9. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H1cf. zenon_intro zenon_H2ca. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H2cc. zenon_intro zenon_H2cb. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_Heb. zenon_intro zenon_H2cd. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H7. zenon_intro zenon_H2ce. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_Hf. zenon_intro zenon_H2cf. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H63. zenon_intro zenon_H2d0. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H34 | zenon_intro zenon_H2d1 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Had | zenon_intro zenon_H2d2 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H8e | zenon_intro zenon_H2d3 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H2d4 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H1d | zenon_intro zenon_H74 ]. % 0.59/0.82 apply (zenon_L13_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H12. zenon_intro zenon_H76. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H27. zenon_intro zenon_H77. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H25. zenon_intro zenon_H65. % 0.59/0.82 apply (zenon_L19_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.82 apply (zenon_L26_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_L28_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_L37_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_L68_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.82 apply (zenon_L85_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H12. zenon_intro zenon_H2d5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H148. zenon_intro zenon_H2d6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.59/0.82 apply (zenon_L93_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H12. zenon_intro zenon_H2d7. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H162. zenon_intro zenon_H2d8. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H160. zenon_intro zenon_H161. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H2d4 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L78_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L96_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_L98_); trivial. % 0.59/0.82 apply (zenon_L66_); trivial. % 0.59/0.82 apply (zenon_L67_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L78_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L96_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_L98_); trivial. % 0.59/0.82 apply (zenon_L84_); trivial. % 0.59/0.82 apply (zenon_L106_); trivial. % 0.59/0.82 apply (zenon_L111_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H12. zenon_intro zenon_H2d5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H148. zenon_intro zenon_H2d6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L78_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L96_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L50_); trivial. % 0.59/0.82 apply (zenon_L113_); trivial. % 0.59/0.82 apply (zenon_L67_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H12. zenon_intro zenon_H2d9. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H189. zenon_intro zenon_H2da. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H18a. zenon_intro zenon_H188. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H2d4 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L78_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb3 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H3c | zenon_intro zenon_Hb2 ]. % 0.59/0.82 apply (zenon_L42_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha9 ]. % 0.59/0.82 apply (zenon_L114_); trivial. % 0.59/0.82 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H12. zenon_intro zenon_Hb4. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_H4e. zenon_intro zenon_Hb5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H4f. zenon_intro zenon_H4d. % 0.59/0.82 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hd7 ]. % 0.59/0.82 apply (zenon_L115_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_H12. zenon_intro zenon_Hd8. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hc7. zenon_intro zenon_Hd9. % 0.59/0.82 apply (zenon_and_s _ _ zenon_Hd9). zenon_intro zenon_Hc6. zenon_intro zenon_Hc8. % 0.59/0.82 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H3c | zenon_intro zenon_Hb2 ]. % 0.59/0.82 apply (zenon_L54_); trivial. % 0.59/0.82 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha9 ]. % 0.59/0.82 apply (zenon_L114_); trivial. % 0.59/0.82 exact (zenon_Ha8 zenon_Ha9). % 0.59/0.82 apply (zenon_L116_); trivial. % 0.59/0.82 apply (zenon_L67_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H12. zenon_intro zenon_H2d5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H148. zenon_intro zenon_H2d6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L78_); trivial. % 0.59/0.82 apply (zenon_L117_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H12. zenon_intro zenon_H2db. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1a9. zenon_intro zenon_H2dc. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1aa. zenon_intro zenon_H1ab. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_Had | zenon_intro zenon_H2d2 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H2d4 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1 | zenon_intro zenon_H2dd ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L142_); trivial. % 0.59/0.82 apply (zenon_L177_); trivial. % 0.59/0.82 apply (zenon_L192_); trivial. % 0.59/0.82 apply (zenon_L193_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12. zenon_intro zenon_H2de. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H22a. zenon_intro zenon_H2df. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L134_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L196_); trivial. % 0.59/0.82 apply (zenon_L176_); trivial. % 0.59/0.82 apply (zenon_L177_); trivial. % 0.59/0.82 apply (zenon_L192_); trivial. % 0.59/0.82 apply (zenon_L193_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1 | zenon_intro zenon_H2dd ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L199_); trivial. % 0.59/0.82 apply (zenon_L209_); trivial. % 0.59/0.82 apply (zenon_L111_); trivial. % 0.59/0.82 apply (zenon_L193_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12. zenon_intro zenon_H2de. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H22a. zenon_intro zenon_H2df. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L198_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L196_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L206_); trivial. % 0.59/0.82 apply (zenon_L174_); trivial. % 0.59/0.82 apply (zenon_L207_); trivial. % 0.59/0.82 apply (zenon_L209_); trivial. % 0.59/0.82 apply (zenon_L111_); trivial. % 0.59/0.82 apply (zenon_L193_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H12. zenon_intro zenon_H2d5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H148. zenon_intro zenon_H2d6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1 | zenon_intro zenon_H2dd ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L142_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L214_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H5 | zenon_intro zenon_H248 ]. % 0.59/0.82 apply (zenon_L4_); trivial. % 0.59/0.82 apply (zenon_L218_); trivial. % 0.59/0.82 apply (zenon_L133_); trivial. % 0.59/0.82 apply (zenon_L193_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12. zenon_intro zenon_H2de. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H22a. zenon_intro zenon_H2df. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L221_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L214_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 apply (zenon_L193_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1 | zenon_intro zenon_H2dd ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L199_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L222_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L223_); trivial. % 0.59/0.82 apply (zenon_L155_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L223_); trivial. % 0.59/0.82 apply (zenon_L160_); trivial. % 0.59/0.82 apply (zenon_L208_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L226_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L222_); trivial. % 0.59/0.82 apply (zenon_L225_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L227_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_L229_); trivial. % 0.59/0.82 apply (zenon_L230_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12. zenon_intro zenon_H2de. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H22a. zenon_intro zenon_H2df. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L231_); trivial. % 0.59/0.82 apply (zenon_L232_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H12. zenon_intro zenon_H2d9. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H189. zenon_intro zenon_H2da. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H18a. zenon_intro zenon_H188. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H2d4 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L235_); trivial. % 0.59/0.82 apply (zenon_L253_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L258_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_L260_); trivial. % 0.59/0.82 apply (zenon_L251_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L235_); trivial. % 0.59/0.82 apply (zenon_L262_); trivial. % 0.59/0.82 apply (zenon_L264_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L267_); trivial. % 0.59/0.82 apply (zenon_L273_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L258_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H12. zenon_intro zenon_H11c. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H5a. zenon_intro zenon_H11d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H58. zenon_intro zenon_H59. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_L260_); trivial. % 0.59/0.82 apply (zenon_L271_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L267_); trivial. % 0.59/0.82 apply (zenon_L262_); trivial. % 0.59/0.82 apply (zenon_L264_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L274_); trivial. % 0.59/0.82 apply (zenon_L253_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L258_); trivial. % 0.59/0.82 apply (zenon_L275_); trivial. % 0.59/0.82 apply (zenon_L276_); trivial. % 0.59/0.82 apply (zenon_L277_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L274_); trivial. % 0.59/0.82 apply (zenon_L273_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L278_); trivial. % 0.59/0.82 apply (zenon_L275_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd | zenon_intro zenon_H11b ]. % 0.59/0.82 apply (zenon_L278_); trivial. % 0.59/0.82 apply (zenon_L272_); trivial. % 0.59/0.82 apply (zenon_L277_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H12. zenon_intro zenon_H2d5. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H148. zenon_intro zenon_H2d6. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H149. zenon_intro zenon_H14a. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H48 | zenon_intro zenon_H144 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1 | zenon_intro zenon_H2dd ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L235_); trivial. % 0.59/0.82 apply (zenon_L285_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L288_); trivial. % 0.59/0.82 apply (zenon_L285_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L235_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L249_); trivial. % 0.59/0.82 apply (zenon_L182_); trivial. % 0.59/0.82 apply (zenon_L261_); trivial. % 0.59/0.82 apply (zenon_L133_); trivial. % 0.59/0.82 apply (zenon_L224_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L292_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L263_); trivial. % 0.59/0.82 apply (zenon_L284_); trivial. % 0.59/0.82 apply (zenon_L133_); trivial. % 0.59/0.82 apply (zenon_L224_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L267_); trivial. % 0.59/0.82 apply (zenon_L301_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L302_); trivial. % 0.59/0.82 apply (zenon_L301_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L267_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L244_); trivial. % 0.59/0.82 apply (zenon_L303_); trivial. % 0.59/0.82 apply (zenon_L261_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hda | zenon_intro zenon_H107 ]. % 0.59/0.82 apply (zenon_L270_); trivial. % 0.59/0.82 apply (zenon_L303_); trivial. % 0.59/0.82 apply (zenon_L160_); trivial. % 0.59/0.82 apply (zenon_L224_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L305_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H12. zenon_intro zenon_H115. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H6c. zenon_intro zenon_H116. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H6d. zenon_intro zenon_H6b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H111 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H3 | zenon_intro zenon_H1c9 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L306_); trivial. % 0.59/0.82 apply (zenon_L261_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1c9). zenon_intro zenon_H12. zenon_intro zenon_H1ca. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_H3f. zenon_intro zenon_H1cb. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H3d. zenon_intro zenon_H3e. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H61 | zenon_intro zenon_H88 ]. % 0.59/0.82 apply (zenon_L306_); trivial. % 0.59/0.82 apply (zenon_L160_); trivial. % 0.59/0.82 apply (zenon_L224_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12. zenon_intro zenon_H2de. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H22a. zenon_intro zenon_H2df. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L307_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L288_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L307_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L292_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H12. zenon_intro zenon_H227. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H120. zenon_intro zenon_H228. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L308_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L302_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H12. zenon_intro zenon_H186. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H17c. zenon_intro zenon_H187. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_H17a. zenon_intro zenon_H17b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_L308_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L305_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H12. zenon_intro zenon_H145. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_H130. zenon_intro zenon_H146. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H12f. zenon_intro zenon_H13c. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1 | zenon_intro zenon_H2dd ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H46 | zenon_intro zenon_H226 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H175 | zenon_intro zenon_H185 ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L274_); trivial. % 0.59/0.82 apply (zenon_L285_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L309_); trivial. % 0.59/0.82 apply (zenon_L285_); trivial. % 0.59/0.82 apply (zenon_L310_); trivial. % 0.59/0.82 apply (zenon_L311_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H12. zenon_intro zenon_H2de. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H22a. zenon_intro zenon_H2df. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H36 | zenon_intro zenon_H12c ]. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L274_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_H12. zenon_intro zenon_H12d. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_H94. zenon_intro zenon_H12e. % 0.59/0.82 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.82 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Hb | zenon_intro zenon_H114 ]. % 0.59/0.82 apply (zenon_L309_); trivial. % 0.59/0.82 apply (zenon_L220_); trivial. % 0.59/0.82 Qed. % 0.59/0.82 % SZS output end Proof % 0.59/0.82 (* END-PROOF *) % 0.59/0.82 nodes searched: 18049 % 0.59/0.82 max branch formulas: 430 % 0.59/0.82 proof nodes created: 2245 % 0.59/0.82 formulas created: 23438 % 0.59/0.82 %------------------------------------------------------------------------------