%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN451+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:52:43 EDT 2022 % Result : Theorem 0.61s 0.78s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN451+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.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 23:51:13 EDT 2022 % 0.12/0.33 % CPUTime : % 0.61/0.78 (* PROOF-FOUND *) % 0.61/0.78 % SZS status Theorem % 0.61/0.78 (* BEGIN-PROOF *) % 0.61/0.78 % SZS output start Proof % 0.61/0.78 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a730))/\((c3_1 (a730))/\(~(c1_1 (a730)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a731))/\((c3_1 (a731))/\(~(c2_1 (a731)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c0_1 (a732)))/\((~(c2_1 (a732)))/\(~(c3_1 (a732)))))))/\(((~(hskp3))\/((ndr1_0)/\((c2_1 (a733))/\((~(c0_1 (a733)))/\(~(c1_1 (a733)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a734))/\((~(c0_1 (a734)))/\(~(c3_1 (a734)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a735))/\((c3_1 (a735))/\(~(c0_1 (a735)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))))/\(((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744)))))))/\(((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))))/\(((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a748)))/\((~(c1_1 (a748)))/\(~(c2_1 (a748)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a755))/\((c2_1 (a755))/\(~(c3_1 (a755)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a762))/\((~(c1_1 (a762)))/\(~(c2_1 (a762)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a763))/\((c1_1 (a763))/\(~(c2_1 (a763)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a766))/\((c2_1 (a766))/\(~(c0_1 (a766)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a777))/\((~(c0_1 (a777)))/\(~(c3_1 (a777)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793)))))))/\(((~(hskp22))\/((ndr1_0)/\((c3_1 (a797))/\((~(c1_1 (a797)))/\(~(c2_1 (a797)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a737))/\((c2_1 (a737))/\(c3_1 (a737))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a750))/\((c1_1 (a750))/\(c2_1 (a750))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a784))/\((c1_1 (a784))/\(c3_1 (a784))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_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)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(hskp2)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp3)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp4)\/(hskp5)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(hskp0)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp26)\/(hskp6)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp1)\/(hskp2)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(hskp5)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp4)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp8)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp5)\/(hskp9)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/(hskp27)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp27)\/(hskp11)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp12)\/(hskp7)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp6)\/(hskp4)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/(hskp14)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp27)\/(hskp17)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60))))))))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp27)\/(hskp0)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp26)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c3_1 X18)\/(~(c0_1 X18))))))\/((hskp27)\/(hskp5)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp27)\/(hskp19)))/\(((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9)))/\(((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp16)\/(hskp3)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((c3_1 X4)\/(~(c1_1 X4))))))\/((hskp28)\/(hskp16)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11)))/\(((forall X82 : zenon_U, ((ndr1_0)->((c3_1 X82)\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp27)\/(hskp11)))/\(((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp28)\/(hskp11)))/\(((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21))/\(((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/((hskp21)\/(hskp2)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp22)))/\(((hskp23)\/((hskp21)\/(hskp17)))/\(((hskp23)\/((hskp24)\/(hskp13)))/\(((hskp16)\/((hskp18)\/(hskp19)))/\(((hskp0)\/((hskp5)\/(hskp19)))/\(((hskp0)\/(hskp8))/\((hskp7)\/((hskp1)\/(hskp4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.61/0.78 Proof. % 0.61/0.78 assert (zenon_L1_ : (~(hskp7)) -> (hskp7) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1 zenon_H2. % 0.61/0.78 exact (zenon_H1 zenon_H2). % 0.61/0.78 (* end of lemma zenon_L1_ *) % 0.61/0.78 assert (zenon_L2_ : (~(hskp1)) -> (hskp1) -> False). % 0.61/0.78 do 0 intro. intros zenon_H3 zenon_H4. % 0.61/0.78 exact (zenon_H3 zenon_H4). % 0.61/0.78 (* end of lemma zenon_L2_ *) % 0.61/0.78 assert (zenon_L3_ : (~(hskp4)) -> (hskp4) -> False). % 0.61/0.78 do 0 intro. intros zenon_H5 zenon_H6. % 0.61/0.78 exact (zenon_H5 zenon_H6). % 0.61/0.78 (* end of lemma zenon_L3_ *) % 0.61/0.78 assert (zenon_L4_ : ((hskp7)\/((hskp1)\/(hskp4))) -> (~(hskp7)) -> (~(hskp1)) -> (~(hskp4)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.61/0.78 exact (zenon_H1 zenon_H2). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.61/0.78 exact (zenon_H3 zenon_H4). % 0.61/0.78 exact (zenon_H5 zenon_H6). % 0.61/0.78 (* end of lemma zenon_L4_ *) % 0.61/0.78 assert (zenon_L5_ : (~(hskp0)) -> (hskp0) -> False). % 0.61/0.78 do 0 intro. intros zenon_H9 zenon_Ha. % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 (* end of lemma zenon_L5_ *) % 0.61/0.78 assert (zenon_L6_ : (~(hskp8)) -> (hskp8) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb zenon_Hc. % 0.61/0.78 exact (zenon_Hb zenon_Hc). % 0.61/0.78 (* end of lemma zenon_L6_ *) % 0.61/0.78 assert (zenon_L7_ : ((hskp0)\/(hskp8)) -> (~(hskp8)) -> (~(hskp0)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hd zenon_Hb zenon_H9. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_Hc ]. % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 exact (zenon_Hb zenon_Hc). % 0.61/0.78 (* end of lemma zenon_L7_ *) % 0.61/0.78 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.61/0.78 do 0 intro. intros zenon_He zenon_Hf. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 (* end of lemma zenon_L8_ *) % 0.61/0.78 assert (zenon_L9_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (~(c1_1 (a744))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H14. % 0.61/0.78 generalize (zenon_H10 (a744)). zenon_intro zenon_H15. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H15); [ zenon_intro zenon_He | zenon_intro zenon_H16 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.61/0.78 exact (zenon_H11 zenon_H18). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.61/0.78 generalize (zenon_H12 (a744)). zenon_intro zenon_H1b. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_He | zenon_intro zenon_H1c ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.61/0.78 exact (zenon_H13 zenon_H1e). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H19 ]. % 0.61/0.78 exact (zenon_H1a zenon_H1f). % 0.61/0.78 exact (zenon_H19 zenon_H14). % 0.61/0.78 exact (zenon_H19 zenon_H14). % 0.61/0.78 (* end of lemma zenon_L9_ *) % 0.61/0.78 assert (zenon_L10_ : (~(hskp5)) -> (hskp5) -> False). % 0.61/0.78 do 0 intro. intros zenon_H20 zenon_H21. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L10_ *) % 0.61/0.78 assert (zenon_L11_ : (~(hskp20)) -> (hskp20) -> False). % 0.61/0.78 do 0 intro. intros zenon_H22 zenon_H23. % 0.61/0.78 exact (zenon_H22 zenon_H23). % 0.61/0.78 (* end of lemma zenon_L11_ *) % 0.61/0.78 assert (zenon_L12_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c3_1 (a744)) -> (~(c0_1 (a744))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a744))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp20)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H24 zenon_H14 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H20 zenon_H22. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H10 | zenon_intro zenon_H25 ]. % 0.61/0.78 apply (zenon_L9_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H21 | zenon_intro zenon_H23 ]. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 exact (zenon_H22 zenon_H23). % 0.61/0.78 (* end of lemma zenon_L12_ *) % 0.61/0.78 assert (zenon_L13_ : (~(hskp6)) -> (hskp6) -> False). % 0.61/0.78 do 0 intro. intros zenon_H26 zenon_H27. % 0.61/0.78 exact (zenon_H26 zenon_H27). % 0.61/0.78 (* end of lemma zenon_L13_ *) % 0.61/0.78 assert (zenon_L14_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp6)\/(hskp4))) -> (~(hskp20)) -> (~(hskp5)) -> (ndr1_0) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp6)) -> (~(hskp4)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H28 zenon_H22 zenon_H20 zenon_Hf zenon_H11 zenon_H13 zenon_H14 zenon_H24 zenon_H26 zenon_H5. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H12 | zenon_intro zenon_H29 ]. % 0.61/0.78 apply (zenon_L12_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H27 | zenon_intro zenon_H6 ]. % 0.61/0.78 exact (zenon_H26 zenon_H27). % 0.61/0.78 exact (zenon_H5 zenon_H6). % 0.61/0.78 (* end of lemma zenon_L14_ *) % 0.61/0.78 assert (zenon_L15_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a744))) -> (~(c1_1 (a744))) -> (c3_1 (a744)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H2a zenon_Hf zenon_H13 zenon_H11 zenon_H14. % 0.61/0.78 generalize (zenon_H2a (a744)). zenon_intro zenon_H2b. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_He | zenon_intro zenon_H2c ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H1e | zenon_intro zenon_H2d ]. % 0.61/0.78 exact (zenon_H13 zenon_H1e). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H18 | zenon_intro zenon_H19 ]. % 0.61/0.78 exact (zenon_H11 zenon_H18). % 0.61/0.78 exact (zenon_H19 zenon_H14). % 0.61/0.78 (* end of lemma zenon_L15_ *) % 0.61/0.78 assert (zenon_L16_ : (~(hskp2)) -> (hskp2) -> False). % 0.61/0.78 do 0 intro. intros zenon_H2e zenon_H2f. % 0.61/0.78 exact (zenon_H2e zenon_H2f). % 0.61/0.78 (* end of lemma zenon_L16_ *) % 0.61/0.78 assert (zenon_L17_ : ((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp1)\/(hskp2))) -> (~(hskp4)) -> (~(c0_1 (a744))) -> (~(c1_1 (a744))) -> (c3_1 (a744)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c0_1 X21))\/(~(c2_1 X21))))))\/(hskp4))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H30 zenon_H31 zenon_H5 zenon_H13 zenon_H11 zenon_H14 zenon_H32 zenon_H3 zenon_H2e. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H2a | zenon_intro zenon_H3a ]. % 0.61/0.78 apply (zenon_L15_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H3b | zenon_intro zenon_H6 ]. % 0.61/0.78 generalize (zenon_H39 (a779)). zenon_intro zenon_H3c. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_He | zenon_intro zenon_H3d ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.61/0.78 generalize (zenon_H3b (a779)). zenon_intro zenon_H40. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_He | zenon_intro zenon_H41 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.61/0.78 exact (zenon_H37 zenon_H43). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.61/0.78 exact (zenon_H45 zenon_H3f). % 0.61/0.78 exact (zenon_H44 zenon_H35). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ]. % 0.61/0.78 exact (zenon_H37 zenon_H43). % 0.61/0.78 exact (zenon_H44 zenon_H35). % 0.61/0.78 exact (zenon_H5 zenon_H6). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 0.61/0.78 exact (zenon_H3 zenon_H4). % 0.61/0.78 exact (zenon_H2e zenon_H2f). % 0.61/0.78 (* end of lemma zenon_L17_ *) % 0.61/0.78 assert (zenon_L18_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a738))) -> (~(c2_1 (a738))) -> (c1_1 (a738)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H46 zenon_Hf zenon_H47 zenon_H48 zenon_H49. % 0.61/0.78 generalize (zenon_H46 (a738)). zenon_intro zenon_H4a. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_He | zenon_intro zenon_H4b ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.61/0.78 exact (zenon_H47 zenon_H4d). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.61/0.78 exact (zenon_H48 zenon_H4f). % 0.61/0.78 exact (zenon_H4e zenon_H49). % 0.61/0.78 (* end of lemma zenon_L18_ *) % 0.61/0.78 assert (zenon_L19_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (~(c0_1 (a741))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H50 zenon_Hf zenon_H51 zenon_H52 zenon_H53 zenon_H54. % 0.61/0.78 generalize (zenon_H50 (a741)). zenon_intro zenon_H55. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_He | zenon_intro zenon_H56 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.61/0.78 generalize (zenon_H51 (a741)). zenon_intro zenon_H59. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_He | zenon_intro zenon_H5a ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.61/0.78 exact (zenon_H52 zenon_H5c). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.61/0.78 exact (zenon_H5e zenon_H58). % 0.61/0.78 exact (zenon_H5d zenon_H53). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H5f | zenon_intro zenon_H5d ]. % 0.61/0.78 exact (zenon_H5f zenon_H54). % 0.61/0.78 exact (zenon_H5d zenon_H53). % 0.61/0.78 (* end of lemma zenon_L19_ *) % 0.61/0.78 assert (zenon_L20_ : (~(hskp11)) -> (hskp11) -> False). % 0.61/0.78 do 0 intro. intros zenon_H60 zenon_H61. % 0.61/0.78 exact (zenon_H60 zenon_H61). % 0.61/0.78 (* end of lemma zenon_L20_ *) % 0.61/0.78 assert (zenon_L21_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c1_1 (a738)) -> (~(c2_1 (a738))) -> (~(c0_1 (a738))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H62 zenon_H49 zenon_H48 zenon_H47 zenon_H54 zenon_H53 zenon_H52 zenon_H51 zenon_Hf zenon_H60. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H46 | zenon_intro zenon_H63 ]. % 0.61/0.78 apply (zenon_L18_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.61/0.78 apply (zenon_L19_); trivial. % 0.61/0.78 exact (zenon_H60 zenon_H61). % 0.61/0.78 (* end of lemma zenon_L21_ *) % 0.61/0.78 assert (zenon_L22_ : (~(hskp10)) -> (hskp10) -> False). % 0.61/0.78 do 0 intro. intros zenon_H64 zenon_H65. % 0.61/0.78 exact (zenon_H64 zenon_H65). % 0.61/0.78 (* end of lemma zenon_L22_ *) % 0.61/0.78 assert (zenon_L23_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1))))) -> (ndr1_0) -> (~(c0_1 (a749))) -> (~(c1_1 (a749))) -> (~(c3_1 (a749))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H66 zenon_Hf zenon_H67 zenon_H68 zenon_H69. % 0.61/0.78 generalize (zenon_H66 (a749)). zenon_intro zenon_H6a. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_He | zenon_intro zenon_H6b ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.61/0.78 exact (zenon_H67 zenon_H6d). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ]. % 0.61/0.78 exact (zenon_H68 zenon_H6f). % 0.61/0.78 exact (zenon_H69 zenon_H6e). % 0.61/0.78 (* end of lemma zenon_L23_ *) % 0.61/0.78 assert (zenon_L24_ : ((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H70 zenon_H71 zenon_H5 zenon_H20. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H66 | zenon_intro zenon_H74 ]. % 0.61/0.78 apply (zenon_L23_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H6 | zenon_intro zenon_H21 ]. % 0.61/0.78 exact (zenon_H5 zenon_H6). % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L24_ *) % 0.61/0.78 assert (zenon_L25_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (ndr1_0) -> (~(c0_1 (a738))) -> (~(c2_1 (a738))) -> (c1_1 (a738)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H75 zenon_H71 zenon_H20 zenon_H5 zenon_Hf zenon_H47 zenon_H48 zenon_H49 zenon_H62 zenon_H54 zenon_H53 zenon_H52 zenon_H64 zenon_H76. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H46 | zenon_intro zenon_H77 ]. % 0.61/0.78 apply (zenon_L18_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.61/0.78 apply (zenon_L21_); trivial. % 0.61/0.78 exact (zenon_H64 zenon_H65). % 0.61/0.78 apply (zenon_L24_); trivial. % 0.61/0.78 (* end of lemma zenon_L25_ *) % 0.61/0.78 assert (zenon_L26_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a748))) -> (~(c1_1 (a748))) -> (~(c2_1 (a748))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H78 zenon_Hf zenon_H79 zenon_H7a zenon_H7b. % 0.61/0.78 generalize (zenon_H78 (a748)). zenon_intro zenon_H7c. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_He | zenon_intro zenon_H7d ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.61/0.78 exact (zenon_H79 zenon_H7f). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.61/0.78 exact (zenon_H7a zenon_H81). % 0.61/0.78 exact (zenon_H7b zenon_H80). % 0.61/0.78 (* end of lemma zenon_L26_ *) % 0.61/0.78 assert (zenon_L27_ : ((ndr1_0)/\((~(c0_1 (a748)))/\((~(c1_1 (a748)))/\(~(c2_1 (a748)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H82 zenon_H83 zenon_H9 zenon_H3. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hf. zenon_intro zenon_H84. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H79. zenon_intro zenon_H85. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7a. zenon_intro zenon_H7b. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H78 | zenon_intro zenon_H86 ]. % 0.61/0.78 apply (zenon_L26_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_Ha | zenon_intro zenon_H4 ]. % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 exact (zenon_H3 zenon_H4). % 0.61/0.78 (* end of lemma zenon_L27_ *) % 0.61/0.78 assert (zenon_L28_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a748)))/\((~(c1_1 (a748)))/\(~(c2_1 (a748))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c1_1 (a738)) -> (~(c2_1 (a738))) -> (~(c0_1 (a738))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp4)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> (~(hskp1)) -> (~(hskp4)) -> ((hskp7)\/((hskp1)\/(hskp4))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H87 zenon_H88 zenon_H83 zenon_H9 zenon_H76 zenon_H62 zenon_H49 zenon_H48 zenon_H47 zenon_H20 zenon_H71 zenon_H75 zenon_H3 zenon_H5 zenon_H7. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.78 apply (zenon_L4_); trivial. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.78 apply (zenon_L25_); trivial. % 0.61/0.78 apply (zenon_L27_); trivial. % 0.61/0.78 (* end of lemma zenon_L28_ *) % 0.61/0.78 assert (zenon_L29_ : (~(hskp24)) -> (hskp24) -> False). % 0.61/0.78 do 0 intro. intros zenon_H8c zenon_H8d. % 0.61/0.78 exact (zenon_H8c zenon_H8d). % 0.61/0.78 (* end of lemma zenon_L29_ *) % 0.61/0.78 assert (zenon_L30_ : (~(hskp13)) -> (hskp13) -> False). % 0.61/0.78 do 0 intro. intros zenon_H8e zenon_H8f. % 0.61/0.78 exact (zenon_H8e zenon_H8f). % 0.61/0.78 (* end of lemma zenon_L30_ *) % 0.61/0.78 assert (zenon_L31_ : ((hskp23)\/((hskp24)\/(hskp13))) -> (~(hskp23)) -> (~(hskp24)) -> (~(hskp13)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H90 zenon_H91 zenon_H8c zenon_H8e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.61/0.78 exact (zenon_H91 zenon_H93). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H8d | zenon_intro zenon_H8f ]. % 0.61/0.78 exact (zenon_H8c zenon_H8d). % 0.61/0.78 exact (zenon_H8e zenon_H8f). % 0.61/0.78 (* end of lemma zenon_L31_ *) % 0.61/0.78 assert (zenon_L32_ : (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (ndr1_0) -> (~(c2_1 (a802))) -> (~(c3_1 (a802))) -> (c0_1 (a802)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H94 zenon_Hf zenon_H95 zenon_H96 zenon_H97. % 0.61/0.78 generalize (zenon_H94 (a802)). zenon_intro zenon_H98. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_He | zenon_intro zenon_H99 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 0.61/0.78 exact (zenon_H95 zenon_H9b). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ]. % 0.61/0.78 exact (zenon_H96 zenon_H9d). % 0.61/0.78 exact (zenon_H9c zenon_H97). % 0.61/0.78 (* end of lemma zenon_L32_ *) % 0.61/0.78 assert (zenon_L33_ : (~(hskp25)) -> (hskp25) -> False). % 0.61/0.78 do 0 intro. intros zenon_H9e zenon_H9f. % 0.61/0.78 exact (zenon_H9e zenon_H9f). % 0.61/0.78 (* end of lemma zenon_L33_ *) % 0.61/0.78 assert (zenon_L34_ : (~(hskp9)) -> (hskp9) -> False). % 0.61/0.78 do 0 intro. intros zenon_Ha0 zenon_Ha1. % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L34_ *) % 0.61/0.78 assert (zenon_L35_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (c0_1 (a802)) -> (~(c3_1 (a802))) -> (~(c2_1 (a802))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp9)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Ha2 zenon_H97 zenon_H96 zenon_H95 zenon_Hf zenon_H9e zenon_Ha0. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 0.61/0.78 apply (zenon_L32_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ]. % 0.61/0.78 exact (zenon_H9e zenon_H9f). % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L35_ *) % 0.61/0.78 assert (zenon_L36_ : (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (c0_1 (a729)) -> (c2_1 (a729)) -> (c3_1 (a729)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Ha4 zenon_Hf zenon_Ha5 zenon_Ha6 zenon_Ha7. % 0.61/0.78 generalize (zenon_Ha4 (a729)). zenon_intro zenon_Ha8. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Ha8); [ zenon_intro zenon_He | zenon_intro zenon_Ha9 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ]. % 0.61/0.78 exact (zenon_Hab zenon_Ha5). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.61/0.78 exact (zenon_Had zenon_Ha6). % 0.61/0.78 exact (zenon_Hac zenon_Ha7). % 0.61/0.78 (* end of lemma zenon_L36_ *) % 0.61/0.78 assert (zenon_L37_ : (~(hskp21)) -> (hskp21) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hae zenon_Haf. % 0.61/0.78 exact (zenon_Hae zenon_Haf). % 0.61/0.78 (* end of lemma zenon_L37_ *) % 0.61/0.78 assert (zenon_L38_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb0 zenon_Hb1 zenon_Hae. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Haf ]. % 0.61/0.78 apply (zenon_L36_); trivial. % 0.61/0.78 exact (zenon_Hae zenon_Haf). % 0.61/0.78 (* end of lemma zenon_L38_ *) % 0.61/0.78 assert (zenon_L39_ : ((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb4 zenon_Hb5 zenon_Hb1 zenon_Hae zenon_Ha0 zenon_Ha2. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.78 apply (zenon_L35_); trivial. % 0.61/0.78 apply (zenon_L38_); trivial. % 0.61/0.78 (* end of lemma zenon_L39_ *) % 0.61/0.78 assert (zenon_L40_ : (forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79)))))) -> (ndr1_0) -> (~(c3_1 (a798))) -> (c0_1 (a798)) -> (c1_1 (a798)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb8 zenon_Hf zenon_Hb9 zenon_Hba zenon_Hbb. % 0.61/0.78 generalize (zenon_Hb8 (a798)). zenon_intro zenon_Hbc. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_He | zenon_intro zenon_Hbd ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.61/0.78 exact (zenon_Hb9 zenon_Hbf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc0 ]. % 0.61/0.78 exact (zenon_Hc1 zenon_Hba). % 0.61/0.78 exact (zenon_Hc0 zenon_Hbb). % 0.61/0.78 (* end of lemma zenon_L40_ *) % 0.61/0.78 assert (zenon_L41_ : (~(hskp18)) -> (hskp18) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hc2 zenon_Hc3. % 0.61/0.78 exact (zenon_Hc2 zenon_Hc3). % 0.61/0.78 (* end of lemma zenon_L41_ *) % 0.61/0.78 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp18)) -> (~(hskp11)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hc4 zenon_Hc5 zenon_Hc2 zenon_H60. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hf. zenon_intro zenon_Hc6. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hc7. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hb9. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.61/0.78 apply (zenon_L40_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H61 ]. % 0.61/0.78 exact (zenon_Hc2 zenon_Hc3). % 0.61/0.78 exact (zenon_H60 zenon_H61). % 0.61/0.78 (* end of lemma zenon_L42_ *) % 0.61/0.78 assert (zenon_L43_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H51 zenon_Hf zenon_Hc9 zenon_Hca zenon_Hcb. % 0.61/0.78 generalize (zenon_H51 (a735)). zenon_intro zenon_Hcc. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Hcc); [ zenon_intro zenon_He | zenon_intro zenon_Hcd ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.61/0.78 exact (zenon_Hc9 zenon_Hcf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.61/0.78 exact (zenon_Hd1 zenon_Hca). % 0.61/0.78 exact (zenon_Hd0 zenon_Hcb). % 0.61/0.78 (* end of lemma zenon_L43_ *) % 0.61/0.78 assert (zenon_L44_ : (forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c2_1 (a793))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hd2 zenon_Hf zenon_Hd3 zenon_Hd4 zenon_Hd5. % 0.61/0.78 generalize (zenon_Hd2 (a793)). zenon_intro zenon_Hd6. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_He | zenon_intro zenon_Hd7 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ]. % 0.61/0.78 exact (zenon_Hd3 zenon_Hd9). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ]. % 0.61/0.78 exact (zenon_Hdb zenon_Hd4). % 0.61/0.78 exact (zenon_Hda zenon_Hd5). % 0.61/0.78 (* end of lemma zenon_L44_ *) % 0.61/0.78 assert (zenon_L45_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H10 zenon_Hf zenon_Hdc zenon_Hca zenon_Hcb. % 0.61/0.78 generalize (zenon_H10 (a735)). zenon_intro zenon_Hdd. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_He | zenon_intro zenon_Hde ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hce ]. % 0.61/0.78 generalize (zenon_Hdc (a735)). zenon_intro zenon_He0. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_He0); [ zenon_intro zenon_He | zenon_intro zenon_He1 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He2 | zenon_intro zenon_Hce ]. % 0.61/0.78 exact (zenon_He2 zenon_Hdf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.61/0.78 exact (zenon_Hd1 zenon_Hca). % 0.61/0.78 exact (zenon_Hd0 zenon_Hcb). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.61/0.78 exact (zenon_Hd1 zenon_Hca). % 0.61/0.78 exact (zenon_Hd0 zenon_Hcb). % 0.61/0.78 (* end of lemma zenon_L45_ *) % 0.61/0.78 assert (zenon_L46_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c2_1 (a793))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> False). % 0.61/0.78 do 0 intro. intros zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_Hdc zenon_Hf zenon_Hd3 zenon_Hd4 zenon_Hd5. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.78 apply (zenon_L45_); trivial. % 0.61/0.78 apply (zenon_L44_); trivial. % 0.61/0.78 (* end of lemma zenon_L46_ *) % 0.61/0.78 assert (zenon_L47_ : ((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> False). % 0.61/0.78 do 0 intro. intros zenon_He5 zenon_He6 zenon_H11 zenon_H13 zenon_H14 zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca. % 0.61/0.78 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.78 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.78 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.78 apply (zenon_L9_); trivial. % 0.61/0.78 apply (zenon_L44_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 apply (zenon_L46_); trivial. % 0.61/0.78 (* end of lemma zenon_L47_ *) % 0.61/0.78 assert (zenon_L48_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70)))))) -> (~(c2_1 (a775))) -> (~(c3_1 (a775))) -> (c1_1 (a775)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hea zenon_Hf zenon_H94 zenon_Heb zenon_Hec zenon_Hed. % 0.61/0.78 generalize (zenon_Hea (a775)). zenon_intro zenon_Hee. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_He | zenon_intro zenon_Hef ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ]. % 0.61/0.78 generalize (zenon_H94 (a775)). zenon_intro zenon_Hf2. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_He | zenon_intro zenon_Hf3 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf4 ]. % 0.61/0.78 exact (zenon_Heb zenon_Hf5). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 0.61/0.78 exact (zenon_Hec zenon_Hf7). % 0.61/0.78 exact (zenon_Hf6 zenon_Hf1). % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf8 ]. % 0.61/0.78 exact (zenon_Hec zenon_Hf7). % 0.61/0.78 exact (zenon_Hf8 zenon_Hed). % 0.61/0.78 (* end of lemma zenon_L48_ *) % 0.61/0.78 assert (zenon_L49_ : ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (c1_1 (a775)) -> (~(c3_1 (a775))) -> (~(c2_1 (a775))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (~(hskp25)) -> (~(hskp9)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Ha2 zenon_Hed zenon_Hec zenon_Heb zenon_Hf zenon_Hea zenon_H9e zenon_Ha0. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H94 | zenon_intro zenon_Ha3 ]. % 0.61/0.78 apply (zenon_L48_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha1 ]. % 0.61/0.78 exact (zenon_H9e zenon_H9f). % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L49_ *) % 0.61/0.78 assert (zenon_L50_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a775))) -> (~(c3_1 (a775))) -> (c1_1 (a775)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp0)) -> (~(hskp9)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hf9 zenon_H9e zenon_Hf zenon_Heb zenon_Hec zenon_Hed zenon_Ha2 zenon_H9 zenon_Ha0. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hea | zenon_intro zenon_Hfa ]. % 0.61/0.78 apply (zenon_L49_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha | zenon_intro zenon_Ha1 ]. % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L50_ *) % 0.61/0.78 assert (zenon_L51_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a775)) -> (~(c3_1 (a775))) -> (~(c2_1 (a775))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb5 zenon_Hb1 zenon_Hae zenon_Ha2 zenon_Ha0 zenon_Hed zenon_Hec zenon_Heb zenon_Hf zenon_H9 zenon_Hf9. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.78 apply (zenon_L50_); trivial. % 0.61/0.78 apply (zenon_L38_); trivial. % 0.61/0.78 (* end of lemma zenon_L51_ *) % 0.61/0.78 assert (zenon_L52_ : ((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hfb zenon_Hfc zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb zenon_H11 zenon_H13 zenon_H14 zenon_He3 zenon_Hf9 zenon_H9 zenon_Ha0 zenon_Ha2 zenon_Hb1 zenon_Hb5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hf. zenon_intro zenon_Hfd. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hed. zenon_intro zenon_Hfe. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Heb. zenon_intro zenon_Hec. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.78 apply (zenon_L51_); trivial. % 0.61/0.78 apply (zenon_L47_); trivial. % 0.61/0.78 (* end of lemma zenon_L52_ *) % 0.61/0.78 assert (zenon_L53_ : (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (~(c1_1 (a759))) -> (c2_1 (a759)) -> (c3_1 (a759)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Ha4 zenon_Hf zenon_H39 zenon_Hff zenon_H100 zenon_H101. % 0.61/0.78 generalize (zenon_Ha4 (a759)). zenon_intro zenon_H102. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_He | zenon_intro zenon_H103 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 0.61/0.78 generalize (zenon_H39 (a759)). zenon_intro zenon_H106. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_He | zenon_intro zenon_H107 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ]. % 0.61/0.78 exact (zenon_H105 zenon_H109). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.61/0.78 exact (zenon_Hff zenon_H10b). % 0.61/0.78 exact (zenon_H10a zenon_H100). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H10c ]. % 0.61/0.78 exact (zenon_H10a zenon_H100). % 0.61/0.78 exact (zenon_H10c zenon_H101). % 0.61/0.78 (* end of lemma zenon_L53_ *) % 0.61/0.78 assert (zenon_L54_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp1)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a759))) -> (c2_1 (a759)) -> (c3_1 (a759)) -> (~(hskp21)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H31 zenon_Hf zenon_Hff zenon_H100 zenon_H101 zenon_Hae zenon_Hb1 zenon_H3 zenon_H2e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Haf ]. % 0.61/0.78 apply (zenon_L53_); trivial. % 0.61/0.78 exact (zenon_Hae zenon_Haf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 0.61/0.78 exact (zenon_H3 zenon_H4). % 0.61/0.78 exact (zenon_H2e zenon_H2f). % 0.61/0.78 (* end of lemma zenon_L54_ *) % 0.61/0.78 assert (zenon_L55_ : ((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp1)\/(hskp2))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H10d zenon_Hfc zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb zenon_H11 zenon_H13 zenon_H14 zenon_He3 zenon_Hb1 zenon_H3 zenon_H2e zenon_H31. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hf. zenon_intro zenon_H10e. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H100. zenon_intro zenon_H10f. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H101. zenon_intro zenon_Hff. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.78 apply (zenon_L54_); trivial. % 0.61/0.78 apply (zenon_L47_); trivial. % 0.61/0.78 (* end of lemma zenon_L55_ *) % 0.61/0.78 assert (zenon_L56_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a746))) -> (~(c2_1 (a746))) -> (c3_1 (a746)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H12 zenon_Hf zenon_H110 zenon_H111 zenon_H112. % 0.61/0.78 generalize (zenon_H12 (a746)). zenon_intro zenon_H113. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H113); [ zenon_intro zenon_He | zenon_intro zenon_H114 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.61/0.78 exact (zenon_H110 zenon_H116). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 0.61/0.78 exact (zenon_H111 zenon_H118). % 0.61/0.78 exact (zenon_H117 zenon_H112). % 0.61/0.78 (* end of lemma zenon_L56_ *) % 0.61/0.78 assert (zenon_L57_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> (c3_1 (a746)) -> (~(c2_1 (a746))) -> (~(c0_1 (a746))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp6)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H119 zenon_H112 zenon_H111 zenon_H110 zenon_Hf zenon_H9e zenon_H26. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H12 | zenon_intro zenon_H11a ]. % 0.61/0.78 apply (zenon_L56_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H9f | zenon_intro zenon_H27 ]. % 0.61/0.78 exact (zenon_H9e zenon_H9f). % 0.61/0.78 exact (zenon_H26 zenon_H27). % 0.61/0.78 (* end of lemma zenon_L57_ *) % 0.61/0.78 assert (zenon_L58_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> (ndr1_0) -> (~(c0_1 (a746))) -> (~(c2_1 (a746))) -> (c3_1 (a746)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb5 zenon_Hb1 zenon_Hae zenon_Hf zenon_H110 zenon_H111 zenon_H112 zenon_H26 zenon_H119. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.78 apply (zenon_L57_); trivial. % 0.61/0.78 apply (zenon_L38_); trivial. % 0.61/0.78 (* end of lemma zenon_L58_ *) % 0.61/0.78 assert (zenon_L59_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H11b zenon_Hfc zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb zenon_H11 zenon_H13 zenon_H14 zenon_He3 zenon_H119 zenon_H26 zenon_Hb1 zenon_Hb5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.78 apply (zenon_L58_); trivial. % 0.61/0.78 apply (zenon_L47_); trivial. % 0.61/0.78 (* end of lemma zenon_L59_ *) % 0.61/0.78 assert (zenon_L60_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> (c1_1 (a738)) -> (~(c2_1 (a738))) -> (~(c0_1 (a738))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H76 zenon_H49 zenon_H48 zenon_H47 zenon_Hcb zenon_Hca zenon_Hc9 zenon_Hf zenon_H64. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H46 | zenon_intro zenon_H77 ]. % 0.61/0.78 apply (zenon_L18_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 exact (zenon_H64 zenon_H65). % 0.61/0.78 (* end of lemma zenon_L60_ *) % 0.61/0.78 assert (zenon_L61_ : ((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738)))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a748)))/\((~(c1_1 (a748)))/\(~(c2_1 (a748))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H11e zenon_H88 zenon_H83 zenon_H3 zenon_H9 zenon_Hc9 zenon_Hca zenon_Hcb zenon_H76. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.78 apply (zenon_L60_); trivial. % 0.61/0.78 apply (zenon_L27_); trivial. % 0.61/0.78 (* end of lemma zenon_L61_ *) % 0.61/0.78 assert (zenon_L62_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H46 zenon_Hf zenon_H121 zenon_H122 zenon_H123 zenon_H124. % 0.61/0.78 generalize (zenon_H46 (a734)). zenon_intro zenon_H125. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H125); [ zenon_intro zenon_He | zenon_intro zenon_H126 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ]. % 0.61/0.78 exact (zenon_H121 zenon_H128). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.61/0.78 generalize (zenon_H122 (a734)). zenon_intro zenon_H12b. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_He | zenon_intro zenon_H12c ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H128 | zenon_intro zenon_H12d ]. % 0.61/0.78 exact (zenon_H121 zenon_H128). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.61/0.78 exact (zenon_H123 zenon_H12f). % 0.61/0.78 exact (zenon_H12e zenon_H12a). % 0.61/0.78 exact (zenon_H129 zenon_H124). % 0.61/0.78 (* end of lemma zenon_L62_ *) % 0.61/0.78 assert (zenon_L63_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hea zenon_Hf zenon_H121 zenon_H123 zenon_H124. % 0.61/0.78 generalize (zenon_Hea (a734)). zenon_intro zenon_H130. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H130); [ zenon_intro zenon_He | zenon_intro zenon_H131 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H128 | zenon_intro zenon_H132 ]. % 0.61/0.78 exact (zenon_H121 zenon_H128). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H12f | zenon_intro zenon_H129 ]. % 0.61/0.78 exact (zenon_H123 zenon_H12f). % 0.61/0.78 exact (zenon_H129 zenon_H124). % 0.61/0.78 (* end of lemma zenon_L63_ *) % 0.61/0.78 assert (zenon_L64_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H133 zenon_H122 zenon_H124 zenon_H123 zenon_H121 zenon_Hf zenon_H20. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.78 apply (zenon_L62_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.78 apply (zenon_L63_); trivial. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L64_ *) % 0.61/0.78 assert (zenon_L65_ : ((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp5)) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(hskp7)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H135 zenon_H136 zenon_H20 zenon_H121 zenon_H123 zenon_H124 zenon_H133 zenon_H1. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H2a | zenon_intro zenon_H139 ]. % 0.61/0.78 apply (zenon_L15_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H122 | zenon_intro zenon_H2 ]. % 0.61/0.78 apply (zenon_L64_); trivial. % 0.61/0.78 exact (zenon_H1 zenon_H2). % 0.61/0.78 (* end of lemma zenon_L65_ *) % 0.61/0.78 assert (zenon_L66_ : ((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(hskp0)) -> ((hskp0)\/(hskp8)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H13a zenon_H136 zenon_H1 zenon_H121 zenon_H123 zenon_H124 zenon_H20 zenon_H133 zenon_H9 zenon_Hd. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.78 apply (zenon_L7_); trivial. % 0.61/0.78 apply (zenon_L65_); trivial. % 0.61/0.78 (* end of lemma zenon_L66_ *) % 0.61/0.78 assert (zenon_L67_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp9)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hf9 zenon_H124 zenon_H123 zenon_H121 zenon_Hf zenon_H9 zenon_Ha0. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hea | zenon_intro zenon_Hfa ]. % 0.61/0.78 apply (zenon_L63_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha | zenon_intro zenon_Ha1 ]. % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L67_ *) % 0.61/0.78 assert (zenon_L68_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H13b zenon_Hf zenon_H52 zenon_H54 zenon_H53. % 0.61/0.78 generalize (zenon_H13b (a741)). zenon_intro zenon_H13c. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_He | zenon_intro zenon_H13d ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H5c | zenon_intro zenon_H57 ]. % 0.61/0.78 exact (zenon_H52 zenon_H5c). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H5f | zenon_intro zenon_H5d ]. % 0.61/0.78 exact (zenon_H5f zenon_H54). % 0.61/0.78 exact (zenon_H5d zenon_H53). % 0.61/0.78 (* end of lemma zenon_L68_ *) % 0.61/0.78 assert (zenon_L69_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a793))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57)))))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H50 zenon_Hf zenon_Hd3 zenon_H13e zenon_Hd4 zenon_Hd5. % 0.61/0.78 generalize (zenon_H50 (a793)). zenon_intro zenon_H13f. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_He | zenon_intro zenon_H140 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H141 ]. % 0.61/0.78 exact (zenon_Hd3 zenon_Hd9). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H142 | zenon_intro zenon_Hda ]. % 0.61/0.78 generalize (zenon_H13e (a793)). zenon_intro zenon_H143. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H143); [ zenon_intro zenon_He | zenon_intro zenon_H144 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.61/0.78 exact (zenon_H142 zenon_H146). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hdb ]. % 0.61/0.78 exact (zenon_Hd3 zenon_Hd9). % 0.61/0.78 exact (zenon_Hdb zenon_Hd4). % 0.61/0.78 exact (zenon_Hda zenon_Hd5). % 0.61/0.78 (* end of lemma zenon_L69_ *) % 0.61/0.78 assert (zenon_L70_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (c3_1 (a793)) -> (c0_1 (a793)) -> (~(c2_1 (a793))) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (~(hskp2)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H147 zenon_H53 zenon_H54 zenon_H52 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_Hf zenon_H50 zenon_H2e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.61/0.78 apply (zenon_L68_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H2f ]. % 0.61/0.78 apply (zenon_L69_); trivial. % 0.61/0.78 exact (zenon_H2e zenon_H2f). % 0.61/0.78 (* end of lemma zenon_L70_ *) % 0.61/0.78 assert (zenon_L71_ : ((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp5)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H11e zenon_H133 zenon_H124 zenon_H123 zenon_H121 zenon_H20. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.78 apply (zenon_L18_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.78 apply (zenon_L63_); trivial. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L71_ *) % 0.61/0.78 assert (zenon_L72_ : ((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp0)) -> ((hskp0)\/(hskp8)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H13a zenon_H149 zenon_Hfc zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb zenon_He3 zenon_H119 zenon_H26 zenon_Hb1 zenon_Hb5 zenon_H121 zenon_H123 zenon_H124 zenon_Hf9 zenon_H9 zenon_Hd. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.78 apply (zenon_L7_); trivial. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.78 apply (zenon_L67_); trivial. % 0.61/0.78 apply (zenon_L59_); trivial. % 0.61/0.78 (* end of lemma zenon_L72_ *) % 0.61/0.78 assert (zenon_L73_ : ((ndr1_0)/\((c2_1 (a735))/\((c3_1 (a735))/\(~(c0_1 (a735)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738))))))) -> ((~(hskp10))\/((ndr1_0)/\((~(c0_1 (a748)))/\((~(c1_1 (a748)))/\(~(c2_1 (a748))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> ((hskp0)\/(hskp8)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744))))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H14a zenon_H14b zenon_H88 zenon_H83 zenon_H3 zenon_H76 zenon_Hd zenon_H9 zenon_Hf9 zenon_H124 zenon_H123 zenon_H121 zenon_Hb5 zenon_Hb1 zenon_H119 zenon_He3 zenon_He6 zenon_Hfc zenon_H149 zenon_H13a. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.78 apply (zenon_L72_); trivial. % 0.61/0.78 apply (zenon_L61_); trivial. % 0.61/0.78 (* end of lemma zenon_L73_ *) % 0.61/0.78 assert (zenon_L74_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22))))) -> (ndr1_0) -> (~(c0_1 (a732))) -> (~(c2_1 (a732))) -> (~(c3_1 (a732))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H14e zenon_Hf zenon_H14f zenon_H150 zenon_H151. % 0.61/0.78 generalize (zenon_H14e (a732)). zenon_intro zenon_H152. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H152); [ zenon_intro zenon_He | zenon_intro zenon_H153 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 0.61/0.78 exact (zenon_H14f zenon_H155). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 0.61/0.78 exact (zenon_H150 zenon_H157). % 0.61/0.78 exact (zenon_H151 zenon_H156). % 0.61/0.78 (* end of lemma zenon_L74_ *) % 0.61/0.78 assert (zenon_L75_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp5)\/(hskp9))) -> (~(c3_1 (a732))) -> (~(c2_1 (a732))) -> (~(c0_1 (a732))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp9)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H158 zenon_H151 zenon_H150 zenon_H14f zenon_Hf zenon_H20 zenon_Ha0. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14e | zenon_intro zenon_H159 ]. % 0.61/0.78 apply (zenon_L74_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H21 | zenon_intro zenon_Ha1 ]. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L75_ *) % 0.61/0.78 assert (zenon_L76_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp6)\/(hskp4))) -> (~(hskp6)) -> (~(hskp4)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H11b zenon_H28 zenon_H26 zenon_H5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H12 | zenon_intro zenon_H29 ]. % 0.61/0.78 apply (zenon_L56_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H27 | zenon_intro zenon_H6 ]. % 0.61/0.78 exact (zenon_H26 zenon_H27). % 0.61/0.78 exact (zenon_H5 zenon_H6). % 0.61/0.78 (* end of lemma zenon_L76_ *) % 0.61/0.78 assert (zenon_L77_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp6)\/(hskp4))) -> (~(hskp4)) -> (~(hskp6)) -> (ndr1_0) -> (~(c0_1 (a732))) -> (~(c2_1 (a732))) -> (~(c3_1 (a732))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22)))))\/((hskp5)\/(hskp9))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H149 zenon_H28 zenon_H5 zenon_H26 zenon_Hf zenon_H14f zenon_H150 zenon_H151 zenon_H20 zenon_H158. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.78 apply (zenon_L75_); trivial. % 0.61/0.78 apply (zenon_L76_); trivial. % 0.61/0.78 (* end of lemma zenon_L77_ *) % 0.61/0.78 assert (zenon_L78_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a732))) -> (~(c2_1 (a732))) -> (c1_1 (a732)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H46 zenon_Hf zenon_H14f zenon_H150 zenon_H15a. % 0.61/0.78 generalize (zenon_H46 (a732)). zenon_intro zenon_H15b. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_He | zenon_intro zenon_H15c ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H155 | zenon_intro zenon_H15d ]. % 0.61/0.78 exact (zenon_H14f zenon_H155). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H157 | zenon_intro zenon_H15e ]. % 0.61/0.78 exact (zenon_H150 zenon_H157). % 0.61/0.78 exact (zenon_H15e zenon_H15a). % 0.61/0.78 (* end of lemma zenon_L78_ *) % 0.61/0.78 assert (zenon_L79_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a732))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (~(c2_1 (a732))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H78 zenon_Hf zenon_H14f zenon_H46 zenon_H150. % 0.61/0.78 generalize (zenon_H78 (a732)). zenon_intro zenon_H15f. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_He | zenon_intro zenon_H160 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H155 | zenon_intro zenon_H161 ]. % 0.61/0.78 exact (zenon_H14f zenon_H155). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H15a | zenon_intro zenon_H157 ]. % 0.61/0.78 apply (zenon_L78_); trivial. % 0.61/0.78 exact (zenon_H150 zenon_H157). % 0.61/0.78 (* end of lemma zenon_L79_ *) % 0.61/0.78 assert (zenon_L80_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> (~(c2_1 (a732))) -> (~(c0_1 (a732))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H76 zenon_H150 zenon_H14f zenon_H78 zenon_Hcb zenon_Hca zenon_Hc9 zenon_Hf zenon_H64. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H46 | zenon_intro zenon_H77 ]. % 0.61/0.78 apply (zenon_L79_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 exact (zenon_H64 zenon_H65). % 0.61/0.78 (* end of lemma zenon_L80_ *) % 0.61/0.78 assert (zenon_L81_ : (~(hskp27)) -> (hskp27) -> False). % 0.61/0.78 do 0 intro. intros zenon_H162 zenon_H163. % 0.61/0.78 exact (zenon_H162 zenon_H163). % 0.61/0.78 (* end of lemma zenon_L81_ *) % 0.61/0.78 assert (zenon_L82_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp27)\/(hskp0))) -> (~(c3_1 (a732))) -> (~(c2_1 (a732))) -> (~(c0_1 (a732))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp0)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H164 zenon_H151 zenon_H150 zenon_H14f zenon_H46 zenon_Hf zenon_H162 zenon_H9. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ]. % 0.61/0.78 generalize (zenon_H166 (a732)). zenon_intro zenon_H167. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H167); [ zenon_intro zenon_He | zenon_intro zenon_H168 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15a | zenon_intro zenon_H154 ]. % 0.61/0.78 apply (zenon_L78_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 0.61/0.78 exact (zenon_H150 zenon_H157). % 0.61/0.78 exact (zenon_H151 zenon_H156). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H163 | zenon_intro zenon_Ha ]. % 0.61/0.78 exact (zenon_H162 zenon_H163). % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 (* end of lemma zenon_L82_ *) % 0.61/0.78 assert (zenon_L83_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(hskp0)) -> (~(hskp27)) -> (~(c0_1 (a732))) -> (~(c2_1 (a732))) -> (~(c3_1 (a732))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((c2_1 X61)\/(c3_1 X61)))))\/((hskp27)\/(hskp0))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H133 zenon_H9 zenon_H162 zenon_H14f zenon_H150 zenon_H151 zenon_H164 zenon_H124 zenon_H123 zenon_H121 zenon_Hf zenon_H20. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.78 apply (zenon_L82_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.78 apply (zenon_L63_); trivial. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L83_ *) % 0.61/0.78 assert (zenon_L84_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(c2_1 (a732))) -> (~(c0_1 (a732))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H133 zenon_H150 zenon_H14f zenon_H78 zenon_H124 zenon_H123 zenon_H121 zenon_Hf zenon_H20. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.78 apply (zenon_L79_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.78 apply (zenon_L63_); trivial. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L84_ *) % 0.61/0.78 assert (zenon_L85_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a750)) -> (c1_1 (a750)) -> (c2_1 (a750)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H169 zenon_Hf zenon_H16a zenon_H16b zenon_H16c. % 0.61/0.78 generalize (zenon_H169 (a750)). zenon_intro zenon_H16d. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H16d); [ zenon_intro zenon_He | zenon_intro zenon_H16e ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 0.61/0.78 exact (zenon_H170 zenon_H16a). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.61/0.78 exact (zenon_H172 zenon_H16b). % 0.61/0.78 exact (zenon_H171 zenon_H16c). % 0.61/0.78 (* end of lemma zenon_L85_ *) % 0.61/0.78 assert (zenon_L86_ : ((ndr1_0)/\((c0_1 (a750))/\((c1_1 (a750))/\(c2_1 (a750))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a732))) -> (~(c2_1 (a732))) -> (~(hskp5)) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H173 zenon_H174 zenon_H14f zenon_H150 zenon_H20 zenon_H121 zenon_H123 zenon_H124 zenon_H133. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_Hf. zenon_intro zenon_H175. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H16a. zenon_intro zenon_H176. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H16c. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H78 | zenon_intro zenon_H177 ]. % 0.61/0.78 apply (zenon_L84_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H122 | zenon_intro zenon_H169 ]. % 0.61/0.78 apply (zenon_L64_); trivial. % 0.61/0.78 apply (zenon_L85_); trivial. % 0.61/0.78 (* end of lemma zenon_L86_ *) % 0.61/0.78 assert (zenon_L87_ : (~(hskp16)) -> (hskp16) -> False). % 0.61/0.78 do 0 intro. intros zenon_H178 zenon_H179. % 0.61/0.78 exact (zenon_H178 zenon_H179). % 0.61/0.78 (* end of lemma zenon_L87_ *) % 0.61/0.78 assert (zenon_L88_ : (~(hskp19)) -> (hskp19) -> False). % 0.61/0.78 do 0 intro. intros zenon_H17a zenon_H17b. % 0.61/0.78 exact (zenon_H17a zenon_H17b). % 0.61/0.78 (* end of lemma zenon_L88_ *) % 0.61/0.78 assert (zenon_L89_ : ((hskp16)\/((hskp18)\/(hskp19))) -> (~(hskp16)) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H17c zenon_H178 zenon_Hc2 zenon_H17a. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H179 | zenon_intro zenon_H17d ]. % 0.61/0.78 exact (zenon_H178 zenon_H179). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H17b ]. % 0.61/0.78 exact (zenon_Hc2 zenon_Hc3). % 0.61/0.78 exact (zenon_H17a zenon_H17b). % 0.61/0.78 (* end of lemma zenon_L89_ *) % 0.61/0.78 assert (zenon_L90_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a777))) -> (~(c3_1 (a777))) -> (c2_1 (a777)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H122 zenon_Hf zenon_H17e zenon_H17f zenon_H180. % 0.61/0.78 generalize (zenon_H122 (a777)). zenon_intro zenon_H181. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_He | zenon_intro zenon_H182 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ]. % 0.61/0.78 exact (zenon_H17e zenon_H184). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.61/0.78 exact (zenon_H17f zenon_H186). % 0.61/0.78 exact (zenon_H185 zenon_H180). % 0.61/0.78 (* end of lemma zenon_L90_ *) % 0.61/0.78 assert (zenon_L91_ : ((ndr1_0)/\((c2_1 (a777))/\((~(c0_1 (a777)))/\(~(c3_1 (a777)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (c3_1 (a744)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (~(hskp7)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H187 zenon_H136 zenon_H14 zenon_H11 zenon_H13 zenon_H1. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H187). zenon_intro zenon_Hf. zenon_intro zenon_H188. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_H180. zenon_intro zenon_H189. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H17e. zenon_intro zenon_H17f. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H2a | zenon_intro zenon_H139 ]. % 0.61/0.78 apply (zenon_L15_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H122 | zenon_intro zenon_H2 ]. % 0.61/0.78 apply (zenon_L90_); trivial. % 0.61/0.78 exact (zenon_H1 zenon_H2). % 0.61/0.78 (* end of lemma zenon_L91_ *) % 0.61/0.78 assert (zenon_L92_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a777))/\((~(c0_1 (a777)))/\(~(c3_1 (a777))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a744)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (~(hskp16)) -> (~(hskp18)) -> ((hskp16)\/((hskp18)\/(hskp19))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H18a zenon_H136 zenon_H1 zenon_H14 zenon_H11 zenon_H13 zenon_H178 zenon_Hc2 zenon_H17c. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H17a | zenon_intro zenon_H187 ]. % 0.61/0.78 apply (zenon_L89_); trivial. % 0.61/0.78 apply (zenon_L91_); trivial. % 0.61/0.78 (* end of lemma zenon_L92_ *) % 0.61/0.78 assert (zenon_L93_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a779))) -> (~(c3_1 (a779))) -> (c2_1 (a779)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H18b zenon_Hf zenon_H37 zenon_H36 zenon_H35. % 0.61/0.78 generalize (zenon_H18b (a779)). zenon_intro zenon_H18c. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H18c); [ zenon_intro zenon_He | zenon_intro zenon_H18d ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H43 | zenon_intro zenon_H18e ]. % 0.61/0.78 exact (zenon_H37 zenon_H43). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H18f | zenon_intro zenon_H44 ]. % 0.61/0.78 exact (zenon_H36 zenon_H18f). % 0.61/0.78 exact (zenon_H44 zenon_H35). % 0.61/0.78 (* end of lemma zenon_L93_ *) % 0.61/0.78 assert (zenon_L94_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a729)) -> (c1_1 (a729)) -> (c2_1 (a729)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H169 zenon_Hf zenon_Ha5 zenon_H190 zenon_Ha6. % 0.61/0.78 generalize (zenon_H169 (a729)). zenon_intro zenon_H191. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H191); [ zenon_intro zenon_He | zenon_intro zenon_H192 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_Hab | zenon_intro zenon_H193 ]. % 0.61/0.78 exact (zenon_Hab zenon_Ha5). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H194 | zenon_intro zenon_Had ]. % 0.61/0.78 exact (zenon_H194 zenon_H190). % 0.61/0.78 exact (zenon_Had zenon_Ha6). % 0.61/0.78 (* end of lemma zenon_L94_ *) % 0.61/0.78 assert (zenon_L95_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a729)) -> (c2_1 (a729)) -> (c3_1 (a729)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H195 zenon_Hf zenon_H169 zenon_Ha5 zenon_Ha6 zenon_Ha7. % 0.61/0.78 generalize (zenon_H195 (a729)). zenon_intro zenon_H196. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_He | zenon_intro zenon_H197 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H190 | zenon_intro zenon_H198 ]. % 0.61/0.78 apply (zenon_L94_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hab | zenon_intro zenon_Hac ]. % 0.61/0.78 exact (zenon_Hab zenon_Ha5). % 0.61/0.78 exact (zenon_Hac zenon_Ha7). % 0.61/0.78 (* end of lemma zenon_L95_ *) % 0.61/0.78 assert (zenon_L96_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (c3_1 (a729)) -> (c2_1 (a729)) -> (c0_1 (a729)) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26)))))) -> (~(c2_1 (a775))) -> (~(c3_1 (a775))) -> (c1_1 (a775)) -> (~(c1_1 (a779))) -> (~(c3_1 (a779))) -> (c2_1 (a779)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H199 zenon_Ha7 zenon_Ha6 zenon_Ha5 zenon_Hf zenon_Hea zenon_Heb zenon_Hec zenon_Hed zenon_H37 zenon_H36 zenon_H35 zenon_H19a zenon_H20. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18b | zenon_intro zenon_H19b ]. % 0.61/0.78 apply (zenon_L93_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H195 | zenon_intro zenon_H21 ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18b | zenon_intro zenon_H19c ]. % 0.61/0.78 apply (zenon_L93_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H94 | zenon_intro zenon_H169 ]. % 0.61/0.78 apply (zenon_L48_); trivial. % 0.61/0.78 apply (zenon_L95_); trivial. % 0.61/0.78 exact (zenon_H20 zenon_H21). % 0.61/0.78 (* end of lemma zenon_L96_ *) % 0.61/0.78 assert (zenon_L97_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a779)) -> (~(c3_1 (a779))) -> (~(c1_1 (a779))) -> (c1_1 (a775)) -> (~(c3_1 (a775))) -> (~(c2_1 (a775))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (~(hskp0)) -> (~(hskp9)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb0 zenon_Hf9 zenon_H20 zenon_H19a zenon_H35 zenon_H36 zenon_H37 zenon_Hed zenon_Hec zenon_Heb zenon_H199 zenon_H9 zenon_Ha0. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hea | zenon_intro zenon_Hfa ]. % 0.61/0.78 apply (zenon_L96_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Ha | zenon_intro zenon_Ha1 ]. % 0.61/0.78 exact (zenon_H9 zenon_Ha). % 0.61/0.78 exact (zenon_Ha0 zenon_Ha1). % 0.61/0.78 (* end of lemma zenon_L97_ *) % 0.61/0.78 assert (zenon_L98_ : ((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a775)) -> (~(c3_1 (a775))) -> (~(c2_1 (a775))) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H30 zenon_Hb5 zenon_H19a zenon_H20 zenon_H199 zenon_Ha2 zenon_Ha0 zenon_Hed zenon_Hec zenon_Heb zenon_H9 zenon_Hf9. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.78 apply (zenon_L50_); trivial. % 0.61/0.78 apply (zenon_L97_); trivial. % 0.61/0.78 (* end of lemma zenon_L98_ *) % 0.61/0.78 assert (zenon_L99_ : ((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp5)) -> (c3_1 (a744)) -> (~(c0_1 (a744))) -> (~(c1_1 (a744))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp6)\/(hskp4))) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hfb zenon_H19d zenon_Hb5 zenon_H19a zenon_H199 zenon_Ha2 zenon_Ha0 zenon_H9 zenon_Hf9 zenon_H24 zenon_H20 zenon_H14 zenon_H13 zenon_H11 zenon_H26 zenon_H5 zenon_H28. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hf. zenon_intro zenon_Hfd. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hed. zenon_intro zenon_Hfe. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Heb. zenon_intro zenon_Hec. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.78 apply (zenon_L14_); trivial. % 0.61/0.78 apply (zenon_L98_); trivial. % 0.61/0.78 (* end of lemma zenon_L99_ *) % 0.61/0.78 assert (zenon_L100_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40)))))) -> (ndr1_0) -> (forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79)))))) -> (~(c3_1 (a764))) -> (c0_1 (a764)) -> (c2_1 (a764)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H18b zenon_Hf zenon_Hb8 zenon_H19e zenon_H19f zenon_H1a0. % 0.61/0.78 generalize (zenon_H18b (a764)). zenon_intro zenon_H1a1. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_He | zenon_intro zenon_H1a2 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.61/0.78 generalize (zenon_Hb8 (a764)). zenon_intro zenon_H1a5. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_He | zenon_intro zenon_H1a6 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.61/0.78 exact (zenon_H19e zenon_H1a8). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a9 ]. % 0.61/0.78 exact (zenon_H1aa zenon_H19f). % 0.61/0.78 exact (zenon_H1a9 zenon_H1a4). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1ab ]. % 0.61/0.78 exact (zenon_H19e zenon_H1a8). % 0.61/0.78 exact (zenon_H1ab zenon_H1a0). % 0.61/0.78 (* end of lemma zenon_L100_ *) % 0.61/0.78 assert (zenon_L101_ : ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (c2_1 (a764)) -> (c0_1 (a764)) -> (~(c3_1 (a764))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40)))))) -> (~(hskp18)) -> (~(hskp11)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hc5 zenon_H1a0 zenon_H19f zenon_H19e zenon_Hf zenon_H18b zenon_Hc2 zenon_H60. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.61/0.78 apply (zenon_L100_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H61 ]. % 0.61/0.78 exact (zenon_Hc2 zenon_Hc3). % 0.61/0.78 exact (zenon_H60 zenon_H61). % 0.61/0.78 (* end of lemma zenon_L101_ *) % 0.61/0.78 assert (zenon_L102_ : (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H50 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 generalize (zenon_H50 (a731)). zenon_intro zenon_H1af. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_He | zenon_intro zenon_H1b0 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b1 ]. % 0.61/0.78 exact (zenon_H1ac zenon_H1b2). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.61/0.78 exact (zenon_H1b4 zenon_H1ad). % 0.61/0.78 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.78 (* end of lemma zenon_L102_ *) % 0.61/0.78 assert (zenon_L103_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> (~(hskp11)) -> (~(c3_1 (a764))) -> (c0_1 (a764)) -> (c2_1 (a764)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1b5 zenon_H60 zenon_H19e zenon_H19f zenon_H1a0 zenon_Hc5 zenon_H1ae zenon_H1ad zenon_H1ac zenon_Hf zenon_Hc2. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H18b | zenon_intro zenon_H1b6 ]. % 0.61/0.78 apply (zenon_L101_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H50 | zenon_intro zenon_Hc3 ]. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 exact (zenon_Hc2 zenon_Hc3). % 0.61/0.78 (* end of lemma zenon_L103_ *) % 0.61/0.78 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp5)) -> (c3_1 (a744)) -> (~(c0_1 (a744))) -> (~(c1_1 (a744))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp6)\/(hskp4))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_H19d zenon_Hb5 zenon_H19a zenon_H199 zenon_Ha2 zenon_Ha0 zenon_H9 zenon_Hf9 zenon_H24 zenon_H20 zenon_H14 zenon_H13 zenon_H11 zenon_H26 zenon_H5 zenon_H28 zenon_Hc5 zenon_H60 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1b5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.78 apply (zenon_L103_); trivial. % 0.61/0.78 apply (zenon_L99_); trivial. % 0.61/0.78 (* end of lemma zenon_L104_ *) % 0.61/0.78 assert (zenon_L105_ : (~(hskp22)) -> (hskp22) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1bb zenon_H1bc. % 0.61/0.78 exact (zenon_H1bb zenon_H1bc). % 0.61/0.78 (* end of lemma zenon_L105_ *) % 0.61/0.78 assert (zenon_L106_ : ((ndr1_0)/\((c3_1 (a797))/\((~(c1_1 (a797)))/\(~(c2_1 (a797)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (~(hskp11)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1bd zenon_H1be zenon_H1ae zenon_H1ad zenon_H1ac zenon_H60. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_Hf. zenon_intro zenon_H1bf. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1c1. zenon_intro zenon_H1c0. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1c3. zenon_intro zenon_H1c2. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H63 ]. % 0.61/0.78 generalize (zenon_H1c4 (a797)). zenon_intro zenon_H1c5. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1c5); [ zenon_intro zenon_He | zenon_intro zenon_H1c6 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1c7 ]. % 0.61/0.78 exact (zenon_H1c3 zenon_H1c8). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ]. % 0.61/0.78 exact (zenon_H1c2 zenon_H1ca). % 0.61/0.78 exact (zenon_H1c9 zenon_H1c1). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 exact (zenon_H60 zenon_H61). % 0.61/0.78 (* end of lemma zenon_L106_ *) % 0.61/0.78 assert (zenon_L107_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a797))/\((~(c1_1 (a797)))/\(~(c2_1 (a797))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1cb zenon_H1be zenon_H60 zenon_H1cc zenon_H178 zenon_H53 zenon_H52 zenon_H54 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1cd. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1bd ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1cf ]. % 0.61/0.78 generalize (zenon_Hdc (a741)). zenon_intro zenon_H1d0. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1d0); [ zenon_intro zenon_He | zenon_intro zenon_H1d1 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H5f | zenon_intro zenon_H5b ]. % 0.61/0.78 exact (zenon_H5f zenon_H54). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.61/0.78 generalize (zenon_H12 (a741)). zenon_intro zenon_H1d2. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_He | zenon_intro zenon_H1d3 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H5c | zenon_intro zenon_H1d4 ]. % 0.61/0.78 exact (zenon_H52 zenon_H5c). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H58 | zenon_intro zenon_H5d ]. % 0.61/0.78 exact (zenon_H5e zenon_H58). % 0.61/0.78 exact (zenon_H5d zenon_H53). % 0.61/0.78 exact (zenon_H5d zenon_H53). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H179 | zenon_intro zenon_H1bc ]. % 0.61/0.78 exact (zenon_H178 zenon_H179). % 0.61/0.78 exact (zenon_H1bb zenon_H1bc). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.78 apply (zenon_L68_); trivial. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 apply (zenon_L106_); trivial. % 0.61/0.78 (* end of lemma zenon_L107_ *) % 0.61/0.78 assert (zenon_L108_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (~(hskp20)) -> (~(hskp5)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1cd zenon_H22 zenon_H20 zenon_H11 zenon_H13 zenon_H14 zenon_H24 zenon_H53 zenon_H54 zenon_H52 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.78 apply (zenon_L12_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.78 apply (zenon_L68_); trivial. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 (* end of lemma zenon_L108_ *) % 0.61/0.78 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp5)) -> (c3_1 (a744)) -> (~(c0_1 (a744))) -> (~(c1_1 (a744))) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_H19d zenon_Hb5 zenon_H19a zenon_H199 zenon_Ha2 zenon_Ha0 zenon_H9 zenon_Hf9 zenon_H24 zenon_H20 zenon_H14 zenon_H13 zenon_H11 zenon_H52 zenon_H54 zenon_H53 zenon_H1cd zenon_Hc5 zenon_H60 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1b5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.78 apply (zenon_L103_); trivial. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hf. zenon_intro zenon_Hfd. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hed. zenon_intro zenon_Hfe. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Heb. zenon_intro zenon_Hec. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.78 apply (zenon_L108_); trivial. % 0.61/0.78 apply (zenon_L98_); trivial. % 0.61/0.78 (* end of lemma zenon_L109_ *) % 0.61/0.78 assert (zenon_L110_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c0_1 (a731)) -> (c1_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1d5 zenon_Hf zenon_H1ac zenon_H1d6 zenon_H1ad. % 0.61/0.78 generalize (zenon_H1d5 (a731)). zenon_intro zenon_H1d7. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_He | zenon_intro zenon_H1d8 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1d9 ]. % 0.61/0.78 exact (zenon_H1ac zenon_H1b2). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1da | zenon_intro zenon_H1b4 ]. % 0.61/0.78 exact (zenon_H1da zenon_H1d6). % 0.61/0.78 exact (zenon_H1b4 zenon_H1ad). % 0.61/0.78 (* end of lemma zenon_L110_ *) % 0.61/0.78 assert (zenon_L111_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H12 zenon_Hf zenon_H1d5 zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 generalize (zenon_H12 (a731)). zenon_intro zenon_H1db. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_He | zenon_intro zenon_H1dc ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1dd ]. % 0.61/0.78 apply (zenon_L110_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ]. % 0.61/0.78 exact (zenon_H1ac zenon_H1b2). % 0.61/0.78 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.78 (* end of lemma zenon_L111_ *) % 0.61/0.78 assert (zenon_L112_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1cd zenon_H1d5 zenon_H53 zenon_H54 zenon_H52 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.78 apply (zenon_L111_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.78 apply (zenon_L68_); trivial. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 (* end of lemma zenon_L112_ *) % 0.61/0.78 assert (zenon_L113_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> (~(c2_1 (a731))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H12 zenon_Hf zenon_H1de zenon_H1ad zenon_H1ae zenon_H1ac. % 0.61/0.78 generalize (zenon_H12 (a731)). zenon_intro zenon_H1db. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_He | zenon_intro zenon_H1dc ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1dd ]. % 0.61/0.78 generalize (zenon_H1de (a731)). zenon_intro zenon_H1df. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_He | zenon_intro zenon_H1e0 ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1da | zenon_intro zenon_H1b1 ]. % 0.61/0.78 exact (zenon_H1da zenon_H1d6). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.61/0.78 exact (zenon_H1b4 zenon_H1ad). % 0.61/0.78 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b3 ]. % 0.61/0.78 exact (zenon_H1ac zenon_H1b2). % 0.61/0.78 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.78 (* end of lemma zenon_L113_ *) % 0.61/0.78 assert (zenon_L114_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1cd zenon_H1de zenon_H53 zenon_H54 zenon_H52 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.78 apply (zenon_L113_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.78 apply (zenon_L68_); trivial. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 (* end of lemma zenon_L114_ *) % 0.61/0.78 assert (zenon_L115_ : ((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H70 zenon_H1e1 zenon_H1cd zenon_H53 zenon_H54 zenon_H52 zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H66 | zenon_intro zenon_H1e2 ]. % 0.61/0.78 apply (zenon_L23_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1de ]. % 0.61/0.78 apply (zenon_L112_); trivial. % 0.61/0.78 apply (zenon_L114_); trivial. % 0.61/0.78 (* end of lemma zenon_L115_ *) % 0.61/0.78 assert (zenon_L116_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H11b zenon_H1cd zenon_H53 zenon_H54 zenon_H52 zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.78 apply (zenon_L56_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.78 apply (zenon_L68_); trivial. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 (* end of lemma zenon_L116_ *) % 0.61/0.78 assert (zenon_L117_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c1_1 (a738)) -> (~(c2_1 (a738))) -> (~(c0_1 (a738))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H62 zenon_H49 zenon_H48 zenon_H47 zenon_H1ae zenon_H1ad zenon_H1ac zenon_Hf zenon_H60. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H46 | zenon_intro zenon_H63 ]. % 0.61/0.78 apply (zenon_L18_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 exact (zenon_H60 zenon_H61). % 0.61/0.78 (* end of lemma zenon_L117_ *) % 0.61/0.78 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H11e zenon_H75 zenon_H71 zenon_H20 zenon_H5 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H62. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.78 apply (zenon_L117_); trivial. % 0.61/0.78 apply (zenon_L24_); trivial. % 0.61/0.78 (* end of lemma zenon_L118_ *) % 0.61/0.78 assert (zenon_L119_ : (~(hskp3)) -> (hskp3) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1e3 zenon_H1e4. % 0.61/0.78 exact (zenon_H1e3 zenon_H1e4). % 0.61/0.78 (* end of lemma zenon_L119_ *) % 0.61/0.78 assert (zenon_L120_ : ((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802)))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp16)\/(hskp3))) -> (~(hskp16)) -> (~(hskp3)) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hb4 zenon_H1e5 zenon_H178 zenon_H1e3. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H94 | zenon_intro zenon_H1e6 ]. % 0.61/0.78 apply (zenon_L32_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H179 | zenon_intro zenon_H1e4 ]. % 0.61/0.78 exact (zenon_H178 zenon_H179). % 0.61/0.78 exact (zenon_H1e3 zenon_H1e4). % 0.61/0.78 (* end of lemma zenon_L120_ *) % 0.61/0.78 assert (zenon_L121_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp16)\/(hskp3))) -> (~(hskp3)) -> (~(hskp16)) -> (~(hskp23)) -> (~(hskp13)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1e7 zenon_H1e5 zenon_H1e3 zenon_H178 zenon_H91 zenon_H8e zenon_H90. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.78 apply (zenon_L31_); trivial. % 0.61/0.78 apply (zenon_L120_); trivial. % 0.61/0.78 (* end of lemma zenon_L121_ *) % 0.61/0.78 assert (zenon_L122_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> (~(hskp13)) -> (~(hskp16)) -> (~(hskp3)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp16)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1e8 zenon_Hc5 zenon_H60 zenon_Hc2 zenon_H90 zenon_H8e zenon_H178 zenon_H1e3 zenon_H1e5 zenon_H1e7. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.78 apply (zenon_L121_); trivial. % 0.61/0.78 apply (zenon_L42_); trivial. % 0.61/0.78 (* end of lemma zenon_L122_ *) % 0.61/0.78 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_Hfc zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb zenon_H11 zenon_H13 zenon_H14 zenon_He3 zenon_Hf9 zenon_H9 zenon_Ha0 zenon_Ha2 zenon_Hb1 zenon_Hb5 zenon_Hc5 zenon_H60 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1b5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.78 apply (zenon_L103_); trivial. % 0.61/0.78 apply (zenon_L52_); trivial. % 0.61/0.78 (* end of lemma zenon_L123_ *) % 0.61/0.78 assert (zenon_L124_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764))))))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp16)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a744)) -> (~(c0_1 (a744))) -> (~(c1_1 (a744))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1e9 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1b5 zenon_H1e8 zenon_Hc5 zenon_H60 zenon_H90 zenon_H8e zenon_H1e3 zenon_H1e5 zenon_H1e7 zenon_Hb5 zenon_Hb1 zenon_Ha2 zenon_Ha0 zenon_H9 zenon_Hf9 zenon_He3 zenon_H14 zenon_H13 zenon_H11 zenon_Hcb zenon_Hca zenon_Hc9 zenon_He6 zenon_Hfc zenon_H1b8. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.78 apply (zenon_L122_); trivial. % 0.61/0.78 apply (zenon_L52_); trivial. % 0.61/0.78 apply (zenon_L123_); trivial. % 0.61/0.78 (* end of lemma zenon_L124_ *) % 0.61/0.78 assert (zenon_L125_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (~(c1_1 (a759))) -> (c2_1 (a759)) -> (c3_1 (a759)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H10 zenon_Hf zenon_Hff zenon_H100 zenon_H101. % 0.61/0.78 generalize (zenon_H10 (a759)). zenon_intro zenon_H1ea. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_He | zenon_intro zenon_H1eb ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10b | zenon_intro zenon_H104 ]. % 0.61/0.78 exact (zenon_Hff zenon_H10b). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H10a | zenon_intro zenon_H10c ]. % 0.61/0.78 exact (zenon_H10a zenon_H100). % 0.61/0.78 exact (zenon_H10c zenon_H101). % 0.61/0.78 (* end of lemma zenon_L125_ *) % 0.61/0.78 assert (zenon_L126_ : ((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (c3_1 (a759)) -> (c2_1 (a759)) -> (~(c1_1 (a759))) -> False). % 0.61/0.78 do 0 intro. intros zenon_He5 zenon_He3 zenon_Hcb zenon_Hca zenon_Hc9 zenon_H101 zenon_H100 zenon_Hff. % 0.61/0.78 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.78 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.78 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.78 apply (zenon_L125_); trivial. % 0.61/0.78 apply (zenon_L44_); trivial. % 0.61/0.78 (* end of lemma zenon_L126_ *) % 0.61/0.78 assert (zenon_L127_ : ((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a759)) -> (c2_1 (a759)) -> (~(c1_1 (a759))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> False). % 0.61/0.78 do 0 intro. intros zenon_Hfb zenon_Hfc zenon_He3 zenon_H101 zenon_H100 zenon_Hff zenon_Hcb zenon_Hca zenon_Hc9 zenon_Hf9 zenon_H9 zenon_Ha0 zenon_Ha2 zenon_Hb1 zenon_Hb5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hf. zenon_intro zenon_Hfd. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hed. zenon_intro zenon_Hfe. % 0.61/0.78 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Heb. zenon_intro zenon_Hec. % 0.61/0.78 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.78 apply (zenon_L51_); trivial. % 0.61/0.78 apply (zenon_L126_); trivial. % 0.61/0.78 (* end of lemma zenon_L127_ *) % 0.61/0.78 assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a759)) -> (c2_1 (a759)) -> (~(c1_1 (a759))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_Hfc zenon_He3 zenon_H101 zenon_H100 zenon_Hff zenon_Hcb zenon_Hca zenon_Hc9 zenon_Hf9 zenon_H9 zenon_Ha0 zenon_Ha2 zenon_Hb1 zenon_Hb5 zenon_Hc5 zenon_H60 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1b5. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.78 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.78 apply (zenon_L103_); trivial. % 0.61/0.78 apply (zenon_L127_); trivial. % 0.61/0.78 (* end of lemma zenon_L128_ *) % 0.61/0.78 assert (zenon_L129_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H13b zenon_Hf zenon_H1d5 zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 generalize (zenon_H13b (a731)). zenon_intro zenon_H1ec. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_He | zenon_intro zenon_H1ed ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1b1 ]. % 0.61/0.78 apply (zenon_L110_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.61/0.78 exact (zenon_H1b4 zenon_H1ad). % 0.61/0.78 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.78 (* end of lemma zenon_L129_ *) % 0.61/0.78 assert (zenon_L130_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_H1cd zenon_H1d5 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.78 apply (zenon_L111_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.78 apply (zenon_L129_); trivial. % 0.61/0.78 apply (zenon_L102_); trivial. % 0.61/0.78 (* end of lemma zenon_L130_ *) % 0.61/0.78 assert (zenon_L131_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34)))))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.78 do 0 intro. intros zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_Hdc zenon_Hf zenon_H1ac zenon_H13b zenon_H1ad zenon_H1ae. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.78 apply (zenon_L43_); trivial. % 0.61/0.78 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.78 apply (zenon_L45_); trivial. % 0.61/0.78 generalize (zenon_Hd2 (a731)). zenon_intro zenon_H1ee. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_He | zenon_intro zenon_H1ef ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1f0 ]. % 0.61/0.78 exact (zenon_H1ac zenon_H1b2). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1da | zenon_intro zenon_H1b3 ]. % 0.61/0.78 generalize (zenon_H13b (a731)). zenon_intro zenon_H1ec. % 0.61/0.78 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_He | zenon_intro zenon_H1ed ]. % 0.61/0.78 exact (zenon_He zenon_Hf). % 0.61/0.78 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1b1 ]. % 0.61/0.79 exact (zenon_H1da zenon_H1d6). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.61/0.79 exact (zenon_H1b4 zenon_H1ad). % 0.61/0.79 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.79 exact (zenon_H1b3 zenon_H1ae). % 0.61/0.79 (* end of lemma zenon_L131_ *) % 0.61/0.79 assert (zenon_L132_ : ((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H70 zenon_H1e1 zenon_H1cd zenon_Hca zenon_Hcb zenon_Hc9 zenon_He3 zenon_He6 zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H66 | zenon_intro zenon_H1e2 ]. % 0.61/0.79 apply (zenon_L23_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1de ]. % 0.61/0.79 apply (zenon_L130_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.79 apply (zenon_L113_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.79 apply (zenon_L113_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_L131_); trivial. % 0.61/0.79 apply (zenon_L102_); trivial. % 0.61/0.79 (* end of lemma zenon_L132_ *) % 0.61/0.79 assert (zenon_L133_ : ((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H11e zenon_H75 zenon_H1e1 zenon_He6 zenon_He3 zenon_Hcb zenon_Hca zenon_Hc9 zenon_H1cd zenon_H1ac zenon_H1ad zenon_H1ae zenon_H62. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.79 apply (zenon_L117_); trivial. % 0.61/0.79 apply (zenon_L132_); trivial. % 0.61/0.79 (* end of lemma zenon_L133_ *) % 0.61/0.79 assert (zenon_L134_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H89 zenon_H149 zenon_H1cd zenon_H1ae zenon_H1ad zenon_H1ac zenon_H121 zenon_H123 zenon_H124 zenon_H9 zenon_Hf9. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.79 apply (zenon_L67_); trivial. % 0.61/0.79 apply (zenon_L116_); trivial. % 0.61/0.79 (* end of lemma zenon_L134_ *) % 0.61/0.79 assert (zenon_L135_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a746))) -> (~(c2_1 (a746))) -> (c3_1 (a746)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1cd zenon_H1de zenon_Hca zenon_Hcb zenon_Hc9 zenon_He3 zenon_H110 zenon_H111 zenon_H112 zenon_He6 zenon_Hf zenon_H1ac zenon_H1ad zenon_H1ae. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.79 apply (zenon_L113_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.79 apply (zenon_L56_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_L131_); trivial. % 0.61/0.79 apply (zenon_L102_); trivial. % 0.61/0.79 (* end of lemma zenon_L135_ *) % 0.61/0.79 assert (zenon_L136_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (~(c0_1 (a738))) -> (~(c2_1 (a738))) -> (c1_1 (a738)) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H11b zenon_H75 zenon_H1e1 zenon_He6 zenon_He3 zenon_Hcb zenon_Hca zenon_Hc9 zenon_H1cd zenon_H47 zenon_H48 zenon_H49 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H62. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.79 apply (zenon_L117_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H66 | zenon_intro zenon_H1e2 ]. % 0.61/0.79 apply (zenon_L23_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1de ]. % 0.61/0.79 apply (zenon_L130_); trivial. % 0.61/0.79 apply (zenon_L135_); trivial. % 0.61/0.79 (* end of lemma zenon_L136_ *) % 0.61/0.79 assert (zenon_L137_ : ((ndr1_0)/\((c2_1 (a735))/\((c3_1 (a735))/\(~(c0_1 (a735)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> ((hskp0)\/(hskp8)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H14a zenon_H14b zenon_H75 zenon_H1e1 zenon_H1cd zenon_H1ac zenon_H1ad zenon_H1ae zenon_H62 zenon_Hd zenon_H9 zenon_Hf9 zenon_H124 zenon_H123 zenon_H121 zenon_Hb5 zenon_Hb1 zenon_H119 zenon_He3 zenon_He6 zenon_Hfc zenon_H149 zenon_H13a. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.79 apply (zenon_L72_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.79 apply (zenon_L67_); trivial. % 0.61/0.79 apply (zenon_L136_); trivial. % 0.61/0.79 (* end of lemma zenon_L137_ *) % 0.61/0.79 assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a734))/\((~(c0_1 (a734)))/\(~(c3_1 (a734)))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a735))/\((c3_1 (a735))/\(~(c0_1 (a735))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(hskp0)) -> ((hskp0)\/(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1f1 zenon_H1f2 zenon_H14b zenon_H75 zenon_H1e1 zenon_H62 zenon_Hb5 zenon_Hb1 zenon_H119 zenon_He3 zenon_He6 zenon_Hfc zenon_H13a zenon_H136 zenon_H133 zenon_H9 zenon_Hd zenon_Hf9 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H1cd zenon_H149 zenon_H87. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Hf. zenon_intro zenon_H1f3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H124. zenon_intro zenon_H1f4. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H121. zenon_intro zenon_H123. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.79 apply (zenon_L66_); trivial. % 0.61/0.79 apply (zenon_L134_); trivial. % 0.61/0.79 apply (zenon_L137_); trivial. % 0.61/0.79 (* end of lemma zenon_L138_ *) % 0.61/0.79 assert (zenon_L139_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a733))) -> (~(c1_1 (a733))) -> (c2_1 (a733)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H39 zenon_Hf zenon_H1f5 zenon_H1f6 zenon_H1f7. % 0.61/0.79 generalize (zenon_H39 (a733)). zenon_intro zenon_H1f8. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_He | zenon_intro zenon_H1f9 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 0.61/0.79 exact (zenon_H1f5 zenon_H1fb). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fc ]. % 0.61/0.79 exact (zenon_H1f6 zenon_H1fd). % 0.61/0.79 exact (zenon_H1fc zenon_H1f7). % 0.61/0.79 (* end of lemma zenon_L139_ *) % 0.61/0.79 assert (zenon_L140_ : (~(hskp26)) -> (hskp26) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1fe zenon_H1ff. % 0.61/0.79 exact (zenon_H1fe zenon_H1ff). % 0.61/0.79 (* end of lemma zenon_L140_ *) % 0.61/0.79 assert (zenon_L141_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp26)\/(hskp6))) -> (c2_1 (a733)) -> (~(c1_1 (a733))) -> (~(c0_1 (a733))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp6)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H200 zenon_H1f7 zenon_H1f6 zenon_H1f5 zenon_Hf zenon_H1fe zenon_H26. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H39 | zenon_intro zenon_H201 ]. % 0.61/0.79 apply (zenon_L139_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ff | zenon_intro zenon_H27 ]. % 0.61/0.79 exact (zenon_H1fe zenon_H1ff). % 0.61/0.79 exact (zenon_H26 zenon_H27). % 0.61/0.79 (* end of lemma zenon_L141_ *) % 0.61/0.79 assert (zenon_L142_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (c1_1 (a737)) -> (c2_1 (a737)) -> (c3_1 (a737)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hdc zenon_Hf zenon_H202 zenon_H203 zenon_H204. % 0.61/0.79 generalize (zenon_Hdc (a737)). zenon_intro zenon_H205. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H205); [ zenon_intro zenon_He | zenon_intro zenon_H206 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H208 | zenon_intro zenon_H207 ]. % 0.61/0.79 exact (zenon_H208 zenon_H202). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H20a | zenon_intro zenon_H209 ]. % 0.61/0.79 exact (zenon_H20a zenon_H203). % 0.61/0.79 exact (zenon_H209 zenon_H204). % 0.61/0.79 (* end of lemma zenon_L142_ *) % 0.61/0.79 assert (zenon_L143_ : ((ndr1_0)/\((c1_1 (a737))/\((c2_1 (a737))/\(c3_1 (a737))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (~(hskp22)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H20b zenon_H1cc zenon_H178 zenon_H1bb. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_Hf. zenon_intro zenon_H20c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H202. zenon_intro zenon_H20d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H203. zenon_intro zenon_H204. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1cf ]. % 0.61/0.79 apply (zenon_L142_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H179 | zenon_intro zenon_H1bc ]. % 0.61/0.79 exact (zenon_H178 zenon_H179). % 0.61/0.79 exact (zenon_H1bb zenon_H1bc). % 0.61/0.79 (* end of lemma zenon_L143_ *) % 0.61/0.79 assert (zenon_L144_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a797))/\((~(c1_1 (a797)))/\(~(c2_1 (a797))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp26)\/(hskp6))) -> (~(hskp6)) -> (c2_1 (a733)) -> (~(c1_1 (a733))) -> (~(c0_1 (a733))) -> (ndr1_0) -> (~(hskp16)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a737))/\((c2_1 (a737))/\(c3_1 (a737)))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1cb zenon_H1be zenon_H60 zenon_H1ae zenon_H1ad zenon_H1ac zenon_H200 zenon_H26 zenon_H1f7 zenon_H1f6 zenon_H1f5 zenon_Hf zenon_H178 zenon_H1cc zenon_H20e. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1bd ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1fe | zenon_intro zenon_H20b ]. % 0.61/0.79 apply (zenon_L141_); trivial. % 0.61/0.79 apply (zenon_L143_); trivial. % 0.61/0.79 apply (zenon_L106_); trivial. % 0.61/0.79 (* end of lemma zenon_L144_ *) % 0.61/0.79 assert (zenon_L145_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c1_1 (a744))) -> (~(c0_1 (a744))) -> (c3_1 (a744)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a737))/\((c2_1 (a737))/\(c3_1 (a737)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp22))) -> (ndr1_0) -> (~(c0_1 (a733))) -> (~(c1_1 (a733))) -> (c2_1 (a733)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp26)\/(hskp6))) -> (~(c2_1 (a731))) -> (c1_1 (a731)) -> (c3_1 (a731)) -> (~(hskp11)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a797))/\((~(c1_1 (a797)))/\(~(c2_1 (a797))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1e9 zenon_H1b8 zenon_Hfc zenon_He6 zenon_Hc9 zenon_Hca zenon_Hcb zenon_H11 zenon_H13 zenon_H14 zenon_He3 zenon_Hf9 zenon_H9 zenon_Ha0 zenon_Ha2 zenon_Hb1 zenon_Hb5 zenon_Hc5 zenon_H1b5 zenon_H20e zenon_H1cc zenon_Hf zenon_H1f5 zenon_H1f6 zenon_H1f7 zenon_H26 zenon_H200 zenon_H1ac zenon_H1ad zenon_H1ae zenon_H60 zenon_H1be zenon_H1cb. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.79 apply (zenon_L144_); trivial. % 0.61/0.79 apply (zenon_L123_); trivial. % 0.61/0.79 (* end of lemma zenon_L145_ *) % 0.61/0.79 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a737))/\((c2_1 (a737))/\(c3_1 (a737))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a749))) -> (~(c1_1 (a749))) -> (~(c0_1 (a749))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a731))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H20b zenon_H1e1 zenon_H69 zenon_H68 zenon_H67 zenon_H1cd zenon_He6 zenon_H1ac zenon_H1ae zenon_H1ad zenon_Hcb zenon_Hca zenon_Hc9. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_Hf. zenon_intro zenon_H20c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H202. zenon_intro zenon_H20d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H203. zenon_intro zenon_H204. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H66 | zenon_intro zenon_H1e2 ]. % 0.61/0.79 apply (zenon_L23_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1de ]. % 0.61/0.79 apply (zenon_L130_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.79 apply (zenon_L113_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_L142_); trivial. % 0.61/0.79 (* end of lemma zenon_L146_ *) % 0.61/0.79 assert (zenon_L147_ : ((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(hskp0))) -> (c2_1 (a733)) -> (~(c1_1 (a733))) -> (~(c0_1 (a733))) -> (~(hskp0)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H11e zenon_H20f zenon_H1f7 zenon_H1f6 zenon_H1f5 zenon_H9. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H39 | zenon_intro zenon_H210 ]. % 0.61/0.79 apply (zenon_L139_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H46 | zenon_intro zenon_Ha ]. % 0.61/0.79 apply (zenon_L18_); trivial. % 0.61/0.79 exact (zenon_H9 zenon_Ha). % 0.61/0.79 (* end of lemma zenon_L147_ *) % 0.61/0.79 assert (zenon_L148_ : ((ndr1_0)/\((c2_1 (a735))/\((c3_1 (a735))/\(~(c0_1 (a735)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a738))/\((~(c0_1 (a738)))/\(~(c2_1 (a738))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/(hskp0))) -> ((hskp0)\/(hskp8)) -> (~(hskp0)) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a749)))/\((~(c1_1 (a749)))/\(~(c3_1 (a749))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a797))/\((~(c1_1 (a797)))/\(~(c2_1 (a797))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp26)\/(hskp6))) -> (c2_1 (a733)) -> (~(c1_1 (a733))) -> (~(c0_1 (a733))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a737))/\((c2_1 (a737))/\(c3_1 (a737)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp18))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((hskp18)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((hskp0)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H14a zenon_H14b zenon_H20f zenon_Hd zenon_H9 zenon_H75 zenon_H1e1 zenon_H1cd zenon_H1cb zenon_H1be zenon_H1ae zenon_H1ad zenon_H1ac zenon_H200 zenon_H1f7 zenon_H1f6 zenon_H1f5 zenon_H1cc zenon_H20e zenon_H1b5 zenon_Hc5 zenon_Hb5 zenon_Hb1 zenon_Ha2 zenon_Hf9 zenon_He3 zenon_He6 zenon_Hfc zenon_H1b8 zenon_H1e9 zenon_H119 zenon_H149 zenon_H13a. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.79 apply (zenon_L7_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.79 apply (zenon_L145_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1fe | zenon_intro zenon_H20b ]. % 0.61/0.79 apply (zenon_L141_); trivial. % 0.61/0.79 apply (zenon_L146_); trivial. % 0.61/0.79 apply (zenon_L59_); trivial. % 0.61/0.79 apply (zenon_L147_); trivial. % 0.61/0.79 (* end of lemma zenon_L148_ *) % 0.61/0.79 assert (zenon_L149_ : ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (c1_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (c3_1 (a730)) -> (~(c1_1 (a730))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57)))))) -> (c0_1 (a730)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H211 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H212 zenon_H213 zenon_H13e zenon_H214 zenon_Hf zenon_H3. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H215 ]. % 0.61/0.79 apply (zenon_L40_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H4 ]. % 0.61/0.79 generalize (zenon_Ha4 (a730)). zenon_intro zenon_H216. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_He | zenon_intro zenon_H217 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.61/0.79 exact (zenon_H219 zenon_H214). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H21b | zenon_intro zenon_H21a ]. % 0.61/0.79 generalize (zenon_H13e (a730)). zenon_intro zenon_H21c. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_He | zenon_intro zenon_H21d ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.61/0.79 exact (zenon_H213 zenon_H21f). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H220 | zenon_intro zenon_H219 ]. % 0.61/0.79 exact (zenon_H21b zenon_H220). % 0.61/0.79 exact (zenon_H219 zenon_H214). % 0.61/0.79 exact (zenon_H21a zenon_H212). % 0.61/0.79 exact (zenon_H3 zenon_H4). % 0.61/0.79 (* end of lemma zenon_L149_ *) % 0.61/0.79 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (~(hskp1)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (c3_1 (a730)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp2)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hc4 zenon_H147 zenon_H53 zenon_H54 zenon_H52 zenon_H3 zenon_H214 zenon_H213 zenon_H212 zenon_H211 zenon_H2e. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hf. zenon_intro zenon_Hc6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hc7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hb9. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.61/0.79 apply (zenon_L68_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H2f ]. % 0.61/0.79 apply (zenon_L149_); trivial. % 0.61/0.79 exact (zenon_H2e zenon_H2f). % 0.61/0.79 (* end of lemma zenon_L150_ *) % 0.61/0.79 assert (zenon_L151_ : ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (c2_1 (a764)) -> (c0_1 (a764)) -> (~(c3_1 (a764))) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40)))))) -> (c3_1 (a729)) -> (c2_1 (a729)) -> (c0_1 (a729)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H211 zenon_H1a0 zenon_H19f zenon_H19e zenon_H18b zenon_Ha7 zenon_Ha6 zenon_Ha5 zenon_Hf zenon_H3. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H215 ]. % 0.61/0.79 apply (zenon_L100_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H4 ]. % 0.61/0.79 apply (zenon_L36_); trivial. % 0.61/0.79 exact (zenon_H3 zenon_H4). % 0.61/0.79 (* end of lemma zenon_L151_ *) % 0.61/0.79 assert (zenon_L152_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a730))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H195 zenon_Hf zenon_H213 zenon_H214 zenon_H212. % 0.61/0.79 generalize (zenon_H195 (a730)). zenon_intro zenon_H221. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H221); [ zenon_intro zenon_He | zenon_intro zenon_H222 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H21f | zenon_intro zenon_H223 ]. % 0.61/0.79 exact (zenon_H213 zenon_H21f). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H219 | zenon_intro zenon_H21a ]. % 0.61/0.79 exact (zenon_H219 zenon_H214). % 0.61/0.79 exact (zenon_H21a zenon_H212). % 0.61/0.79 (* end of lemma zenon_L152_ *) % 0.61/0.79 assert (zenon_L153_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (~(hskp1)) -> (~(c3_1 (a764))) -> (c0_1 (a764)) -> (c2_1 (a764)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (~(hskp5)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb0 zenon_H199 zenon_H3 zenon_H19e zenon_H19f zenon_H1a0 zenon_H211 zenon_H212 zenon_H214 zenon_H213 zenon_H20. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18b | zenon_intro zenon_H19b ]. % 0.61/0.79 apply (zenon_L151_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H195 | zenon_intro zenon_H21 ]. % 0.61/0.79 apply (zenon_L152_); trivial. % 0.61/0.79 exact (zenon_H20 zenon_H21). % 0.61/0.79 (* end of lemma zenon_L153_ *) % 0.61/0.79 assert (zenon_L154_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c3_1 (a759)) -> (c2_1 (a759)) -> (~(c1_1 (a759))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp20)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H24 zenon_H101 zenon_H100 zenon_Hff zenon_Hf zenon_H20 zenon_H22. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H10 | zenon_intro zenon_H25 ]. % 0.61/0.79 apply (zenon_L125_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H21 | zenon_intro zenon_H23 ]. % 0.61/0.79 exact (zenon_H20 zenon_H21). % 0.61/0.79 exact (zenon_H22 zenon_H23). % 0.61/0.79 (* end of lemma zenon_L154_ *) % 0.61/0.79 assert (zenon_L155_ : ((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (~(hskp5)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H30 zenon_H199 zenon_H212 zenon_H214 zenon_H213 zenon_H20. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18b | zenon_intro zenon_H19b ]. % 0.61/0.79 apply (zenon_L93_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H195 | zenon_intro zenon_H21 ]. % 0.61/0.79 apply (zenon_L152_); trivial. % 0.61/0.79 exact (zenon_H20 zenon_H21). % 0.61/0.79 (* end of lemma zenon_L155_ *) % 0.61/0.79 assert (zenon_L156_ : ((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (~(hskp5)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H10d zenon_H19d zenon_H199 zenon_H212 zenon_H214 zenon_H213 zenon_H20 zenon_H24. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hf. zenon_intro zenon_H10e. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H100. zenon_intro zenon_H10f. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H101. zenon_intro zenon_Hff. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.79 apply (zenon_L154_); trivial. % 0.61/0.79 apply (zenon_L155_); trivial. % 0.61/0.79 (* end of lemma zenon_L156_ *) % 0.61/0.79 assert (zenon_L157_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c2_1 (a729)) -> (c3_1 (a729)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hdc zenon_Hf zenon_H10 zenon_Ha6 zenon_Ha7. % 0.61/0.79 generalize (zenon_Hdc (a729)). zenon_intro zenon_H224. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_He | zenon_intro zenon_H225 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H194 | zenon_intro zenon_Haa ]. % 0.61/0.79 generalize (zenon_H10 (a729)). zenon_intro zenon_H226. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_He | zenon_intro zenon_H227 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H190 | zenon_intro zenon_Haa ]. % 0.61/0.79 exact (zenon_H194 zenon_H190). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.61/0.79 exact (zenon_Had zenon_Ha6). % 0.61/0.79 exact (zenon_Hac zenon_Ha7). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.61/0.79 exact (zenon_Had zenon_Ha6). % 0.61/0.79 exact (zenon_Hac zenon_Ha7). % 0.61/0.79 (* end of lemma zenon_L157_ *) % 0.61/0.79 assert (zenon_L158_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c3_1 (a729)) -> (c2_1 (a729)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp5)) -> (~(hskp20)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H24 zenon_Ha7 zenon_Ha6 zenon_Hf zenon_Hdc zenon_H20 zenon_H22. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H10 | zenon_intro zenon_H25 ]. % 0.61/0.79 apply (zenon_L157_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H21 | zenon_intro zenon_H23 ]. % 0.61/0.79 exact (zenon_H20 zenon_H21). % 0.61/0.79 exact (zenon_H22 zenon_H23). % 0.61/0.79 (* end of lemma zenon_L158_ *) % 0.61/0.79 assert (zenon_L159_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a746)) -> (~(c2_1 (a746))) -> (~(c0_1 (a746))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c3_1 (a729)) -> (c2_1 (a729)) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp20)) -> False). % 0.61/0.79 do 0 intro. intros zenon_He6 zenon_H112 zenon_H111 zenon_H110 zenon_H54 zenon_H53 zenon_H52 zenon_H50 zenon_H24 zenon_Ha7 zenon_Ha6 zenon_Hf zenon_H20 zenon_H22. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.79 apply (zenon_L56_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.79 apply (zenon_L19_); trivial. % 0.61/0.79 apply (zenon_L158_); trivial. % 0.61/0.79 (* end of lemma zenon_L159_ *) % 0.61/0.79 assert (zenon_L160_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a746)) -> (~(c2_1 (a746))) -> (~(c0_1 (a746))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp5)) -> (~(hskp20)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb0 zenon_H1cd zenon_He6 zenon_H112 zenon_H111 zenon_H110 zenon_H54 zenon_H53 zenon_H52 zenon_H24 zenon_H20 zenon_H22. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.79 apply (zenon_L56_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.79 apply (zenon_L68_); trivial. % 0.61/0.79 apply (zenon_L159_); trivial. % 0.61/0.79 (* end of lemma zenon_L160_ *) % 0.61/0.79 assert (zenon_L161_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp20)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a741))) -> (ndr1_0) -> (~(c0_1 (a746))) -> (~(c2_1 (a746))) -> (c3_1 (a746)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb5 zenon_H1cd zenon_H24 zenon_H22 zenon_H20 zenon_He6 zenon_H53 zenon_H54 zenon_H52 zenon_Hf zenon_H110 zenon_H111 zenon_H112 zenon_H26 zenon_H119. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L57_); trivial. % 0.61/0.79 apply (zenon_L160_); trivial. % 0.61/0.79 (* end of lemma zenon_L161_ *) % 0.61/0.79 assert (zenon_L162_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a741))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H11b zenon_H19d zenon_H199 zenon_H212 zenon_H214 zenon_H213 zenon_H119 zenon_H26 zenon_H52 zenon_H54 zenon_H53 zenon_He6 zenon_H20 zenon_H24 zenon_H1cd zenon_Hb5. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.79 apply (zenon_L161_); trivial. % 0.61/0.79 apply (zenon_L155_); trivial. % 0.61/0.79 (* end of lemma zenon_L162_ *) % 0.61/0.79 assert (zenon_L163_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25))) -> (~(c2_1 (a748))) -> (~(c1_1 (a748))) -> (~(c0_1 (a748))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H228 zenon_H7b zenon_H7a zenon_H79 zenon_H212 zenon_H214 zenon_H213 zenon_Hf zenon_H9e. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H78 | zenon_intro zenon_H229 ]. % 0.61/0.79 apply (zenon_L26_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H195 | zenon_intro zenon_H9f ]. % 0.61/0.79 apply (zenon_L152_); trivial. % 0.61/0.79 exact (zenon_H9e zenon_H9f). % 0.61/0.79 (* end of lemma zenon_L163_ *) % 0.61/0.79 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp1)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(c0_1 (a748))) -> (~(c1_1 (a748))) -> (~(c2_1 (a748))) -> (~(c1_1 (a730))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1b7 zenon_Hb5 zenon_H199 zenon_H20 zenon_H3 zenon_H211 zenon_H79 zenon_H7a zenon_H7b zenon_H213 zenon_H214 zenon_H212 zenon_H228. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L163_); trivial. % 0.61/0.79 apply (zenon_L153_); trivial. % 0.61/0.79 (* end of lemma zenon_L164_ *) % 0.61/0.79 assert (zenon_L165_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H10 zenon_Hf zenon_H22a zenon_Hc9 zenon_Hca zenon_Hcb. % 0.61/0.79 generalize (zenon_H10 (a735)). zenon_intro zenon_Hdd. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_He | zenon_intro zenon_Hde ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hce ]. % 0.61/0.79 generalize (zenon_H22a (a735)). zenon_intro zenon_H22b. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_He | zenon_intro zenon_H22c ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_Hcf | zenon_intro zenon_H22d ]. % 0.61/0.79 exact (zenon_Hc9 zenon_Hcf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_He2 | zenon_intro zenon_Hd1 ]. % 0.61/0.79 exact (zenon_He2 zenon_Hdf). % 0.61/0.79 exact (zenon_Hd1 zenon_Hca). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.61/0.79 exact (zenon_Hd1 zenon_Hca). % 0.61/0.79 exact (zenon_Hd0 zenon_Hcb). % 0.61/0.79 (* end of lemma zenon_L165_ *) % 0.61/0.79 assert (zenon_L166_ : (forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54)))))) -> (ndr1_0) -> (c0_1 (a730)) -> (forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))) -> (c3_1 (a730)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Ha4 zenon_Hf zenon_H214 zenon_Hd2 zenon_H212. % 0.61/0.79 generalize (zenon_Ha4 (a730)). zenon_intro zenon_H216. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_He | zenon_intro zenon_H217 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.61/0.79 exact (zenon_H219 zenon_H214). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H21b | zenon_intro zenon_H21a ]. % 0.61/0.79 generalize (zenon_Hd2 (a730)). zenon_intro zenon_H22e. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_He | zenon_intro zenon_H22f ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H220 | zenon_intro zenon_H223 ]. % 0.61/0.79 exact (zenon_H21b zenon_H220). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H219 | zenon_intro zenon_H21a ]. % 0.61/0.79 exact (zenon_H219 zenon_H214). % 0.61/0.79 exact (zenon_H21a zenon_H212). % 0.61/0.79 exact (zenon_H21a zenon_H212). % 0.61/0.79 (* end of lemma zenon_L166_ *) % 0.61/0.79 assert (zenon_L167_ : ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a730)) -> (forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))) -> (c0_1 (a730)) -> (ndr1_0) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb1 zenon_Hae zenon_H212 zenon_Hd2 zenon_H214 zenon_Hf. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Haf ]. % 0.61/0.79 apply (zenon_L166_); trivial. % 0.61/0.79 exact (zenon_Hae zenon_Haf). % 0.61/0.79 (* end of lemma zenon_L167_ *) % 0.61/0.79 assert (zenon_L168_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a730)) -> (c0_1 (a730)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp23)) -> (~(hskp13)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1e7 zenon_Hb5 zenon_H230 zenon_H178 zenon_Hc9 zenon_Hca zenon_Hcb zenon_Hb1 zenon_Hae zenon_H212 zenon_H214 zenon_He3 zenon_Ha0 zenon_Ha2 zenon_H91 zenon_H8e zenon_H90. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.79 apply (zenon_L31_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L35_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H22a | zenon_intro zenon_H231 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L165_); trivial. % 0.61/0.79 apply (zenon_L167_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H179 ]. % 0.61/0.79 apply (zenon_L36_); trivial. % 0.61/0.79 exact (zenon_H178 zenon_H179). % 0.61/0.79 (* end of lemma zenon_L168_ *) % 0.61/0.79 assert (zenon_L169_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34)))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H10 zenon_Hf zenon_H13b zenon_Hc9 zenon_Hcb zenon_Hca. % 0.61/0.79 generalize (zenon_H10 (a735)). zenon_intro zenon_Hdd. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_He | zenon_intro zenon_Hde ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hce ]. % 0.61/0.79 generalize (zenon_H13b (a735)). zenon_intro zenon_H232. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H232); [ zenon_intro zenon_He | zenon_intro zenon_H233 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_Hcf | zenon_intro zenon_H234 ]. % 0.61/0.79 exact (zenon_Hc9 zenon_Hcf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_He2 | zenon_intro zenon_Hd0 ]. % 0.61/0.79 exact (zenon_He2 zenon_Hdf). % 0.61/0.79 exact (zenon_Hd0 zenon_Hcb). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.61/0.79 exact (zenon_Hd1 zenon_Hca). % 0.61/0.79 exact (zenon_Hd0 zenon_Hcb). % 0.61/0.79 (* end of lemma zenon_L169_ *) % 0.61/0.79 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (~(hskp21)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(hskp1)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (c3_1 (a730)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp2)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hc4 zenon_H147 zenon_Hae zenon_Hb1 zenon_Hc9 zenon_Hcb zenon_Hca zenon_He3 zenon_H3 zenon_H214 zenon_H213 zenon_H212 zenon_H211 zenon_H2e. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hf. zenon_intro zenon_Hc6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hc7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hb9. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L169_); trivial. % 0.61/0.79 apply (zenon_L167_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H2f ]. % 0.61/0.79 apply (zenon_L149_); trivial. % 0.61/0.79 exact (zenon_H2e zenon_H2f). % 0.61/0.79 (* end of lemma zenon_L170_ *) % 0.61/0.79 assert (zenon_L171_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c2_1 (a793))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp23)) -> (~(hskp13)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1e7 zenon_Hb5 zenon_H230 zenon_H178 zenon_Hc9 zenon_Hca zenon_Hcb zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_He3 zenon_Ha0 zenon_Ha2 zenon_H91 zenon_H8e zenon_H90. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.79 apply (zenon_L31_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L35_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H22a | zenon_intro zenon_H231 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L165_); trivial. % 0.61/0.79 apply (zenon_L44_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H179 ]. % 0.61/0.79 apply (zenon_L36_); trivial. % 0.61/0.79 exact (zenon_H178 zenon_H179). % 0.61/0.79 (* end of lemma zenon_L171_ *) % 0.61/0.79 assert (zenon_L172_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> (~(c0_1 (a735))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (~(c2_1 (a793))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> False). % 0.61/0.79 do 0 intro. intros zenon_He3 zenon_Hca zenon_Hcb zenon_Hc9 zenon_H13b zenon_Hf zenon_Hd3 zenon_Hd4 zenon_Hd5. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L169_); trivial. % 0.61/0.79 apply (zenon_L44_); trivial. % 0.61/0.79 (* end of lemma zenon_L172_ *) % 0.61/0.79 assert (zenon_L173_ : ((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (c3_1 (a793)) -> (c0_1 (a793)) -> (~(c2_1 (a793))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(hskp1)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (c3_1 (a730)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp2)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hc4 zenon_H147 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_He3 zenon_H3 zenon_H214 zenon_H213 zenon_H212 zenon_H211 zenon_H2e. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hf. zenon_intro zenon_Hc6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hc7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hb9. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13b | zenon_intro zenon_H148 ]. % 0.61/0.79 apply (zenon_L172_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H13e | zenon_intro zenon_H2f ]. % 0.61/0.79 apply (zenon_L149_); trivial. % 0.61/0.79 exact (zenon_H2e zenon_H2f). % 0.61/0.79 (* end of lemma zenon_L173_ *) % 0.61/0.79 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (c3_1 (a730)) -> (~(hskp1)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> ((hskp23)\/((hskp24)\/(hskp13))) -> (~(hskp13)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_He5 zenon_H1e8 zenon_H147 zenon_H2e zenon_H214 zenon_H213 zenon_H212 zenon_H3 zenon_H211 zenon_H90 zenon_H8e zenon_Ha2 zenon_Ha0 zenon_He3 zenon_Hcb zenon_Hca zenon_Hc9 zenon_H178 zenon_H230 zenon_Hb5 zenon_H1e7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.79 apply (zenon_L171_); trivial. % 0.61/0.79 apply (zenon_L173_); trivial. % 0.61/0.79 (* end of lemma zenon_L174_ *) % 0.61/0.79 assert (zenon_L175_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a729)) -> (c2_1 (a729)) -> (c3_1 (a729)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H10 zenon_Hf zenon_H169 zenon_Ha5 zenon_Ha6 zenon_Ha7. % 0.61/0.79 generalize (zenon_H10 (a729)). zenon_intro zenon_H226. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_He | zenon_intro zenon_H227 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H190 | zenon_intro zenon_Haa ]. % 0.61/0.79 apply (zenon_L94_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.61/0.79 exact (zenon_Had zenon_Ha6). % 0.61/0.79 exact (zenon_Hac zenon_Ha7). % 0.61/0.79 (* end of lemma zenon_L175_ *) % 0.61/0.79 assert (zenon_L176_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> (~(c3_1 (a764))) -> (c0_1 (a764)) -> (c2_1 (a764)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (c0_1 (a802)) -> (~(c3_1 (a802))) -> (~(c2_1 (a802))) -> (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (ndr1_0) -> (c0_1 (a729)) -> (c2_1 (a729)) -> (c3_1 (a729)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H19a zenon_H3 zenon_H19e zenon_H19f zenon_H1a0 zenon_H211 zenon_H97 zenon_H96 zenon_H95 zenon_H10 zenon_Hf zenon_Ha5 zenon_Ha6 zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H18b | zenon_intro zenon_H19c ]. % 0.61/0.79 apply (zenon_L151_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H94 | zenon_intro zenon_H169 ]. % 0.61/0.79 apply (zenon_L32_); trivial. % 0.61/0.79 apply (zenon_L175_); trivial. % 0.61/0.79 (* end of lemma zenon_L176_ *) % 0.61/0.79 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> (~(hskp21)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a764)) -> (c0_1 (a764)) -> (~(c3_1 (a764))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb4 zenon_Hb5 zenon_He3 zenon_H214 zenon_H212 zenon_Hae zenon_Hb1 zenon_H211 zenon_H3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H19a zenon_Hcb zenon_Hca zenon_Hc9 zenon_Ha0 zenon_Ha2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L35_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L176_); trivial. % 0.61/0.79 apply (zenon_L167_); trivial. % 0.61/0.79 (* end of lemma zenon_L177_ *) % 0.61/0.79 assert (zenon_L178_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> (~(hskp21)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a764)) -> (c0_1 (a764)) -> (~(c3_1 (a764))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp23)) -> (~(hskp13)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1e7 zenon_Hb5 zenon_He3 zenon_H214 zenon_H212 zenon_Hae zenon_Hb1 zenon_H211 zenon_H3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H19a zenon_Hcb zenon_Hca zenon_Hc9 zenon_Ha0 zenon_Ha2 zenon_H91 zenon_H8e zenon_H90. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.79 apply (zenon_L31_); trivial. % 0.61/0.79 apply (zenon_L177_); trivial. % 0.61/0.79 (* end of lemma zenon_L178_ *) % 0.61/0.79 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a793)) -> (c0_1 (a793)) -> (~(c2_1 (a793))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a764)) -> (c0_1 (a764)) -> (~(c3_1 (a764))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb4 zenon_Hb5 zenon_He3 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H211 zenon_H3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H19a zenon_Hcb zenon_Hca zenon_Hc9 zenon_Ha0 zenon_Ha2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L35_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L176_); trivial. % 0.61/0.79 apply (zenon_L44_); trivial. % 0.61/0.79 (* end of lemma zenon_L179_ *) % 0.61/0.79 assert (zenon_L180_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c3_1 (a793)) -> (c0_1 (a793)) -> (~(c2_1 (a793))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a764)) -> (c0_1 (a764)) -> (~(c3_1 (a764))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp23)) -> (~(hskp13)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1e7 zenon_Hb5 zenon_He3 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H211 zenon_H3 zenon_H1a0 zenon_H19f zenon_H19e zenon_H19a zenon_Hcb zenon_Hca zenon_Hc9 zenon_Ha0 zenon_Ha2 zenon_H91 zenon_H8e zenon_H90. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.79 apply (zenon_L31_); trivial. % 0.61/0.79 apply (zenon_L179_); trivial. % 0.61/0.79 (* end of lemma zenon_L180_ *) % 0.61/0.79 assert (zenon_L181_ : ((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (c3_1 (a730)) -> (c0_1 (a730)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H10d zenon_Hfc zenon_Hc9 zenon_Hca zenon_Hcb zenon_Hb1 zenon_H212 zenon_H214 zenon_He3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hf. zenon_intro zenon_H10e. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H100. zenon_intro zenon_H10f. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H101. zenon_intro zenon_Hff. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L125_); trivial. % 0.61/0.79 apply (zenon_L167_); trivial. % 0.61/0.79 apply (zenon_L126_); trivial. % 0.61/0.79 (* end of lemma zenon_L181_ *) % 0.61/0.79 assert (zenon_L182_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (ndr1_0) -> False). % 0.61/0.79 do 0 intro. intros zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_Hdc zenon_Hb1 zenon_Hae zenon_H212 zenon_H214 zenon_Hf. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.79 apply (zenon_L45_); trivial. % 0.61/0.79 apply (zenon_L167_); trivial. % 0.61/0.79 (* end of lemma zenon_L182_ *) % 0.61/0.79 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a746)) -> (~(c2_1 (a746))) -> (~(c0_1 (a746))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> False). % 0.61/0.79 do 0 intro. intros zenon_He5 zenon_He6 zenon_H112 zenon_H111 zenon_H110 zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.79 apply (zenon_L56_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_L46_); trivial. % 0.61/0.79 (* end of lemma zenon_L183_ *) % 0.61/0.79 assert (zenon_L184_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H11b zenon_Hfc zenon_Hc9 zenon_Hca zenon_Hcb zenon_He3 zenon_H214 zenon_H212 zenon_Hb1 zenon_He6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.79 apply (zenon_L56_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.79 apply (zenon_L43_); trivial. % 0.61/0.79 apply (zenon_L182_); trivial. % 0.61/0.79 apply (zenon_L183_); trivial. % 0.61/0.79 (* end of lemma zenon_L184_ *) % 0.61/0.79 assert (zenon_L185_ : ((ndr1_0)/\((c2_1 (a735))/\((c3_1 (a735))/\(~(c0_1 (a735)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a730))) -> (~(hskp1)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> ((hskp23)\/((hskp24)\/(hskp13))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759))))))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H14a zenon_H149 zenon_He6 zenon_H1e9 zenon_H19a zenon_H1e8 zenon_H147 zenon_H2e zenon_H213 zenon_H3 zenon_H211 zenon_H90 zenon_Ha2 zenon_He3 zenon_H214 zenon_H212 zenon_Hb1 zenon_H230 zenon_Hb5 zenon_H1e7 zenon_Hfc zenon_H235. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.79 apply (zenon_L168_); trivial. % 0.61/0.79 apply (zenon_L170_); trivial. % 0.61/0.79 apply (zenon_L174_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.79 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.79 apply (zenon_L178_); trivial. % 0.61/0.79 apply (zenon_L170_); trivial. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.79 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.79 apply (zenon_L180_); trivial. % 0.61/0.79 apply (zenon_L173_); trivial. % 0.61/0.79 apply (zenon_L181_); trivial. % 0.61/0.79 apply (zenon_L184_); trivial. % 0.61/0.79 (* end of lemma zenon_L185_ *) % 0.61/0.79 assert (zenon_L186_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c2_1 (a729)) -> (c3_1 (a729)) -> (c0_1 (a729)) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp20)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H24 zenon_Ha6 zenon_Ha7 zenon_Ha5 zenon_H1de zenon_Hf zenon_H20 zenon_H22. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H10 | zenon_intro zenon_H25 ]. % 0.61/0.79 generalize (zenon_H10 (a729)). zenon_intro zenon_H226. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_He | zenon_intro zenon_H227 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H190 | zenon_intro zenon_Haa ]. % 0.61/0.79 generalize (zenon_H1de (a729)). zenon_intro zenon_H236. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_He | zenon_intro zenon_H237 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_Hab | zenon_intro zenon_H238 ]. % 0.61/0.79 exact (zenon_Hab zenon_Ha5). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H194 | zenon_intro zenon_Hac ]. % 0.61/0.79 exact (zenon_H194 zenon_H190). % 0.61/0.79 exact (zenon_Hac zenon_Ha7). % 0.61/0.79 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.61/0.79 exact (zenon_Had zenon_Ha6). % 0.61/0.79 exact (zenon_Hac zenon_Ha7). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H21 | zenon_intro zenon_H23 ]. % 0.61/0.79 exact (zenon_H20 zenon_H21). % 0.61/0.79 exact (zenon_H22 zenon_H23). % 0.61/0.79 (* end of lemma zenon_L186_ *) % 0.61/0.79 assert (zenon_L187_ : (~(hskp15)) -> (hskp15) -> False). % 0.61/0.79 do 0 intro. intros zenon_H239 zenon_H23a. % 0.61/0.79 exact (zenon_H239 zenon_H23a). % 0.61/0.79 (* end of lemma zenon_L187_ *) % 0.61/0.79 assert (zenon_L188_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(hskp15)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp5)) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb0 zenon_H133 zenon_H239 zenon_H24 zenon_H22 zenon_H23b zenon_H124 zenon_H123 zenon_H121 zenon_H20. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H122 | zenon_intro zenon_H23c ]. % 0.61/0.79 apply (zenon_L62_); trivial. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H1de | zenon_intro zenon_H23a ]. % 0.61/0.79 apply (zenon_L186_); trivial. % 0.61/0.79 exact (zenon_H239 zenon_H23a). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.79 apply (zenon_L63_); trivial. % 0.61/0.79 exact (zenon_H20 zenon_H21). % 0.61/0.79 (* end of lemma zenon_L188_ *) % 0.61/0.79 assert (zenon_L189_ : ((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp20)) -> (~(hskp5)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> False). % 0.61/0.79 do 0 intro. intros zenon_Hb4 zenon_Hb5 zenon_H133 zenon_H121 zenon_H123 zenon_H124 zenon_H24 zenon_H22 zenon_H20 zenon_H239 zenon_H23b zenon_Ha0 zenon_Ha2. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.79 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.79 apply (zenon_L35_); trivial. % 0.61/0.79 apply (zenon_L188_); trivial. % 0.61/0.79 (* end of lemma zenon_L189_ *) % 0.61/0.79 assert (zenon_L190_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp20)) -> (~(hskp5)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> (~(hskp23)) -> (~(hskp13)) -> ((hskp23)\/((hskp24)\/(hskp13))) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1e7 zenon_Hb5 zenon_H133 zenon_H121 zenon_H123 zenon_H124 zenon_H24 zenon_H22 zenon_H20 zenon_H239 zenon_H23b zenon_Ha0 zenon_Ha2 zenon_H91 zenon_H8e zenon_H90. % 0.61/0.79 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.79 apply (zenon_L31_); trivial. % 0.61/0.79 apply (zenon_L189_); trivial. % 0.61/0.79 (* end of lemma zenon_L190_ *) % 0.61/0.79 assert (zenon_L191_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a775))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (c1_1 (a775)) -> False). % 0.61/0.79 do 0 intro. intros zenon_H1d5 zenon_Hf zenon_Heb zenon_H46 zenon_Hed. % 0.61/0.79 generalize (zenon_H1d5 (a775)). zenon_intro zenon_H23d. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_He | zenon_intro zenon_H23e ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H23f ]. % 0.61/0.79 exact (zenon_Heb zenon_Hf5). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf8 ]. % 0.61/0.79 generalize (zenon_H46 (a775)). zenon_intro zenon_H240. % 0.61/0.79 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_He | zenon_intro zenon_H241 ]. % 0.61/0.79 exact (zenon_He zenon_Hf). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H242 ]. % 0.61/0.79 exact (zenon_Hf6 zenon_Hf1). % 0.61/0.79 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf8 ]. % 0.61/0.79 exact (zenon_Heb zenon_Hf5). % 0.61/0.79 exact (zenon_Hf8 zenon_Hed). % 0.61/0.79 exact (zenon_Hf8 zenon_Hed). % 0.61/0.79 (* end of lemma zenon_L191_ *) % 0.61/0.79 assert (zenon_L192_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (c1_1 (a775)) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10)))))) -> (~(c2_1 (a775))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H243 zenon_H124 zenon_H123 zenon_H121 zenon_Hed zenon_H46 zenon_Heb zenon_Hf zenon_H8e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_Hea | zenon_intro zenon_H244 ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H8f ]. % 0.61/0.80 apply (zenon_L191_); trivial. % 0.61/0.80 exact (zenon_H8e zenon_H8f). % 0.61/0.80 (* end of lemma zenon_L192_ *) % 0.61/0.80 assert (zenon_L193_ : ((ndr1_0)/\((c1_1 (a775))/\((~(c2_1 (a775)))/\(~(c3_1 (a775)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp5)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hfb zenon_H133 zenon_H8e zenon_H243 zenon_H124 zenon_H123 zenon_H121 zenon_H20. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hf. zenon_intro zenon_Hfd. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hed. zenon_intro zenon_Hfe. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Heb. zenon_intro zenon_Hec. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.80 apply (zenon_L192_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 exact (zenon_H20 zenon_H21). % 0.61/0.80 (* end of lemma zenon_L193_ *) % 0.61/0.80 assert (zenon_L194_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a763))) -> (c0_1 (a763)) -> (c1_1 (a763)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H1d5 zenon_Hf zenon_H245 zenon_H246 zenon_H247. % 0.61/0.80 generalize (zenon_H1d5 (a763)). zenon_intro zenon_H248. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_He | zenon_intro zenon_H249 ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 0.61/0.80 exact (zenon_H245 zenon_H24b). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24d | zenon_intro zenon_H24c ]. % 0.61/0.80 exact (zenon_H24d zenon_H246). % 0.61/0.80 exact (zenon_H24c zenon_H247). % 0.61/0.80 (* end of lemma zenon_L194_ *) % 0.61/0.80 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a763))/\((c1_1 (a763))/\(~(c2_1 (a763)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H24e zenon_H243 zenon_H124 zenon_H123 zenon_H121 zenon_H8e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_Hf. zenon_intro zenon_H24f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H246. zenon_intro zenon_H250. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H247. zenon_intro zenon_H245. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_Hea | zenon_intro zenon_H244 ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H8f ]. % 0.61/0.80 apply (zenon_L194_); trivial. % 0.61/0.80 exact (zenon_H8e zenon_H8f). % 0.61/0.80 (* end of lemma zenon_L195_ *) % 0.61/0.80 assert (zenon_L196_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (~(c3_1 (a749))) -> (~(c1_1 (a749))) -> (~(c0_1 (a749))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(c3_1 X22))))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H199 zenon_H69 zenon_H68 zenon_H67 zenon_H14e zenon_H212 zenon_H214 zenon_H213 zenon_Hf zenon_H20. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H18b | zenon_intro zenon_H19b ]. % 0.61/0.80 generalize (zenon_H14e (a749)). zenon_intro zenon_H251. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_He | zenon_intro zenon_H252 ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H6d | zenon_intro zenon_H253 ]. % 0.61/0.80 exact (zenon_H67 zenon_H6d). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e ]. % 0.61/0.80 generalize (zenon_H18b (a749)). zenon_intro zenon_H255. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_He | zenon_intro zenon_H256 ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.61/0.80 exact (zenon_H68 zenon_H6f). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H6e | zenon_intro zenon_H258 ]. % 0.61/0.80 exact (zenon_H69 zenon_H6e). % 0.61/0.80 exact (zenon_H258 zenon_H254). % 0.61/0.80 exact (zenon_H69 zenon_H6e). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H195 | zenon_intro zenon_H21 ]. % 0.61/0.80 apply (zenon_L152_); trivial. % 0.61/0.80 exact (zenon_H20 zenon_H21). % 0.61/0.80 (* end of lemma zenon_L196_ *) % 0.61/0.80 assert (zenon_L197_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> (~(c0_1 (a734))) -> (~(c3_1 (a734))) -> (c1_1 (a734)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(hskp20)) -> (~(hskp5)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a746))) -> (~(c2_1 (a746))) -> (c3_1 (a746)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb5 zenon_H133 zenon_H121 zenon_H123 zenon_H124 zenon_H24 zenon_H22 zenon_H20 zenon_H239 zenon_H23b zenon_Hf zenon_H110 zenon_H111 zenon_H112 zenon_H26 zenon_H119. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.80 apply (zenon_L57_); trivial. % 0.61/0.80 apply (zenon_L188_); trivial. % 0.61/0.80 (* end of lemma zenon_L197_ *) % 0.61/0.80 assert (zenon_L198_ : ((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a763))/\((c1_1 (a763))/\(~(c2_1 (a763))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H11b zenon_H235 zenon_H19d zenon_H199 zenon_H212 zenon_H214 zenon_H213 zenon_H119 zenon_H26 zenon_H23b zenon_H20 zenon_H24 zenon_H124 zenon_H123 zenon_H121 zenon_H133 zenon_Hb5 zenon_H243 zenon_H259. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H239 | zenon_intro zenon_H24e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_L197_); trivial. % 0.61/0.80 apply (zenon_L155_); trivial. % 0.61/0.80 apply (zenon_L195_); trivial. % 0.61/0.80 apply (zenon_L156_); trivial. % 0.61/0.80 (* end of lemma zenon_L198_ *) % 0.61/0.80 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a741))/\((c3_1 (a741))/\(~(c0_1 (a741)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a746))/\((~(c0_1 (a746)))/\(~(c2_1 (a746))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a763))/\((c1_1 (a763))/\(~(c2_1 (a763))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((c2_1 X57)\/(~(c0_1 X57))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (c3_1 (a730)) -> (~(hskp1)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> ((hskp23)\/((hskp24)\/(hskp13))) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a779))/\((~(c1_1 (a779)))/\(~(c3_1 (a779))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H89 zenon_H149 zenon_H119 zenon_H26 zenon_He6 zenon_H1cd zenon_H259 zenon_H243 zenon_H1e8 zenon_H147 zenon_H2e zenon_H214 zenon_H213 zenon_H212 zenon_H3 zenon_H211 zenon_H90 zenon_Ha2 zenon_H23b zenon_H20 zenon_H24 zenon_H124 zenon_H123 zenon_H121 zenon_H133 zenon_Hb5 zenon_H1e7 zenon_H199 zenon_H19d zenon_H235. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H239 | zenon_intro zenon_H24e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L190_); trivial. % 0.61/0.80 apply (zenon_L150_); trivial. % 0.61/0.80 apply (zenon_L155_); trivial. % 0.61/0.80 apply (zenon_L195_); trivial. % 0.61/0.80 apply (zenon_L156_); trivial. % 0.61/0.80 apply (zenon_L162_); trivial. % 0.61/0.80 (* end of lemma zenon_L199_ *) % 0.61/0.80 assert (zenon_L200_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c2_1 X9))))))\/((hskp1)\/(hskp2))) -> (c2_1 (a733)) -> (~(c1_1 (a733))) -> (~(c0_1 (a733))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H31 zenon_H1f7 zenon_H1f6 zenon_H1f5 zenon_Hf zenon_H3 zenon_H2e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.61/0.80 apply (zenon_L139_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 0.61/0.80 exact (zenon_H3 zenon_H4). % 0.61/0.80 exact (zenon_H2e zenon_H2f). % 0.61/0.80 (* end of lemma zenon_L200_ *) % 0.61/0.80 assert (zenon_L201_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> (~(c2_1 (a732))) -> (~(c0_1 (a732))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a741))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a738))) -> (~(c2_1 (a738))) -> (c1_1 (a738)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (~(hskp10)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H76 zenon_H150 zenon_H14f zenon_H78 zenon_H60 zenon_Hf zenon_H52 zenon_H53 zenon_H54 zenon_H47 zenon_H48 zenon_H49 zenon_H62 zenon_H64. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H46 | zenon_intro zenon_H77 ]. % 0.61/0.80 apply (zenon_L79_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.61/0.80 apply (zenon_L21_); trivial. % 0.61/0.80 exact (zenon_H64 zenon_H65). % 0.61/0.80 (* end of lemma zenon_L201_ *) % 0.61/0.80 assert (zenon_L202_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c1_1 (a738)) -> (~(c2_1 (a738))) -> (~(c0_1 (a738))) -> (c1_1 (a741)) -> (c3_1 (a741)) -> (~(c0_1 (a741))) -> (~(hskp11)) -> (~(c0_1 (a732))) -> (~(c2_1 (a732))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (~(c1_1 (a730))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H228 zenon_H64 zenon_H62 zenon_H49 zenon_H48 zenon_H47 zenon_H54 zenon_H53 zenon_H52 zenon_H60 zenon_H14f zenon_H150 zenon_H76 zenon_H212 zenon_H214 zenon_H213 zenon_Hf zenon_H9e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H78 | zenon_intro zenon_H229 ]. % 0.61/0.80 apply (zenon_L201_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H195 | zenon_intro zenon_H9f ]. % 0.61/0.80 apply (zenon_L152_); trivial. % 0.61/0.80 exact (zenon_H9e zenon_H9f). % 0.61/0.80 (* end of lemma zenon_L202_ *) % 0.61/0.80 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c1_1 (a738)) -> (~(c2_1 (a738))) -> (~(c0_1 (a738))) -> (~(hskp20)) -> (~(hskp5)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/((hskp5)\/(hskp20))) -> (~(c0_1 (a741))) -> (c3_1 (a741)) -> (c1_1 (a741)) -> (~(c0_1 (a746))) -> (~(c2_1 (a746))) -> (c3_1 (a746)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp11)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb0 zenon_H62 zenon_H49 zenon_H48 zenon_H47 zenon_H22 zenon_H20 zenon_H24 zenon_H52 zenon_H53 zenon_H54 zenon_H110 zenon_H111 zenon_H112 zenon_He6 zenon_H60. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H46 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_L18_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.61/0.80 apply (zenon_L159_); trivial. % 0.61/0.80 exact (zenon_H60 zenon_H61). % 0.61/0.80 (* end of lemma zenon_L203_ *) % 0.61/0.80 assert (zenon_L204_ : ((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (c1_1 (a798)) -> (c0_1 (a798)) -> (~(c3_1 (a798))) -> (~(hskp1)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb0 zenon_H211 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_Hf. zenon_intro zenon_Hb2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha5. zenon_intro zenon_Hb3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha7. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H215 ]. % 0.61/0.80 apply (zenon_L40_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H4 ]. % 0.61/0.80 apply (zenon_L36_); trivial. % 0.61/0.80 exact (zenon_H3 zenon_H4). % 0.61/0.80 (* end of lemma zenon_L204_ *) % 0.61/0.80 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (~(c2_1 (a732))) -> (~(c0_1 (a732))) -> (~(c1_1 (a730))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hc4 zenon_Hb5 zenon_H211 zenon_H3 zenon_H76 zenon_H64 zenon_Hcb zenon_Hca zenon_Hc9 zenon_H150 zenon_H14f zenon_H213 zenon_H214 zenon_H212 zenon_H228. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hf. zenon_intro zenon_Hc6. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hc7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hb9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H78 | zenon_intro zenon_H229 ]. % 0.61/0.80 apply (zenon_L80_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H195 | zenon_intro zenon_H9f ]. % 0.61/0.80 apply (zenon_L152_); trivial. % 0.61/0.80 exact (zenon_H9e zenon_H9f). % 0.61/0.80 apply (zenon_L204_); trivial. % 0.61/0.80 (* end of lemma zenon_L205_ *) % 0.61/0.80 assert (zenon_L206_ : ((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a748))) -> (~(c1_1 (a748))) -> (~(c2_1 (a748))) -> (~(c1_1 (a730))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hc4 zenon_Hb5 zenon_H211 zenon_H3 zenon_H79 zenon_H7a zenon_H7b zenon_H213 zenon_H214 zenon_H212 zenon_H228. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hf. zenon_intro zenon_Hc6. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hc7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_Hbb. zenon_intro zenon_Hb9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.80 apply (zenon_L163_); trivial. % 0.61/0.80 apply (zenon_L204_); trivial. % 0.61/0.80 (* end of lemma zenon_L206_ *) % 0.61/0.80 assert (zenon_L207_ : ((ndr1_0)/\((~(c0_1 (a748)))/\((~(c1_1 (a748)))/\(~(c2_1 (a748)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a759))/\((c3_1 (a759))/\(~(c1_1 (a759))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a802))/\((~(c2_1 (a802)))/\(~(c3_1 (a802))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a729))/\((c2_1 (a729))/\(c3_1 (a729)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp16))) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (c3_1 (a730)) -> (c0_1 (a730)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(hskp9)) -> ((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/((hskp25)\/(hskp9))) -> ((hskp23)\/((hskp24)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp25))) -> (~(c1_1 (a730))) -> (~(hskp1)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c0_1 X79))\/(~(c1_1 X79))))))\/((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a798))/\((c1_1 (a798))/\(~(c3_1 (a798))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c3_1 X40)\/(~(c2_1 X40))))))\/((forall X70 : zenon_U, ((ndr1_0)->((c2_1 X70)\/((c3_1 X70)\/(~(c0_1 X70))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a764))/\((c2_1 (a764))/\(~(c3_1 (a764))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H82 zenon_H235 zenon_Hfc zenon_H1e7 zenon_Hb5 zenon_H230 zenon_Hc9 zenon_Hca zenon_Hcb zenon_Hb1 zenon_H212 zenon_H214 zenon_He3 zenon_Ha0 zenon_Ha2 zenon_H90 zenon_H228 zenon_H213 zenon_H3 zenon_H211 zenon_H1e8 zenon_H19a zenon_H1e9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hf. zenon_intro zenon_H84. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H79. zenon_intro zenon_H85. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7a. zenon_intro zenon_H7b. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L168_); trivial. % 0.61/0.80 apply (zenon_L206_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L171_); trivial. % 0.61/0.80 apply (zenon_L206_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L178_); trivial. % 0.61/0.80 apply (zenon_L206_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L180_); trivial. % 0.61/0.80 apply (zenon_L206_); trivial. % 0.61/0.80 apply (zenon_L181_); trivial. % 0.61/0.80 (* end of lemma zenon_L207_ *) % 0.61/0.80 assert (zenon_L208_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c1_1 X10))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(hskp10))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c3_1 V)\/(~(c2_1 V)))))) -> (~(c0_1 (a734))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H76 zenon_H124 zenon_H123 zenon_H122 zenon_H121 zenon_Hcb zenon_Hca zenon_Hc9 zenon_Hf zenon_H64. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H46 | zenon_intro zenon_H77 ]. % 0.61/0.80 apply (zenon_L62_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 exact (zenon_H64 zenon_H65). % 0.61/0.80 (* end of lemma zenon_L208_ *) % 0.61/0.80 assert (zenon_L209_ : ((ndr1_0)/\((c3_1 (a744))/\((~(c0_1 (a744)))/\(~(c1_1 (a744)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (c0_1 (a730)) -> (c3_1 (a730)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (~(c0_1 (a735))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H135 zenon_Hfc zenon_He3 zenon_H214 zenon_H212 zenon_Hb1 zenon_Hcb zenon_Hca zenon_Hc9 zenon_He6. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.80 apply (zenon_L9_); trivial. % 0.61/0.80 apply (zenon_L167_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_L182_); trivial. % 0.61/0.80 apply (zenon_L47_); trivial. % 0.61/0.80 (* end of lemma zenon_L209_ *) % 0.61/0.80 assert (zenon_L210_ : (forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c1_1 (a730))) -> (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (c3_1 (a730)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H1c4 zenon_Hf zenon_H213 zenon_H10 zenon_H212. % 0.61/0.80 generalize (zenon_H1c4 (a730)). zenon_intro zenon_H25a. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H25a); [ zenon_intro zenon_He | zenon_intro zenon_H25b ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H21f | zenon_intro zenon_H25c ]. % 0.61/0.80 exact (zenon_H213 zenon_H21f). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H220 | zenon_intro zenon_H21a ]. % 0.61/0.80 generalize (zenon_H10 (a730)). zenon_intro zenon_H25d. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_He | zenon_intro zenon_H25e ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H21f | zenon_intro zenon_H218 ]. % 0.61/0.80 exact (zenon_H213 zenon_H21f). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H21b | zenon_intro zenon_H21a ]. % 0.61/0.80 exact (zenon_H21b zenon_H220). % 0.61/0.80 exact (zenon_H21a zenon_H212). % 0.61/0.80 exact (zenon_H21a zenon_H212). % 0.61/0.80 (* end of lemma zenon_L210_ *) % 0.61/0.80 assert (zenon_L211_ : ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (c3_1 (a730)) -> (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59)))))) -> (~(c1_1 (a730))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H1be zenon_H212 zenon_H10 zenon_H213 zenon_H1ae zenon_H1ad zenon_H1ac zenon_Hf zenon_H60. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_L210_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.61/0.80 apply (zenon_L102_); trivial. % 0.61/0.80 exact (zenon_H60 zenon_H61). % 0.61/0.80 (* end of lemma zenon_L211_ *) % 0.61/0.80 assert (zenon_L212_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793))))))) -> (ndr1_0) -> (~(c0_1 (a735))) -> (c2_1 (a735)) -> (c3_1 (a735)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c2_1 X30)\/((~(c1_1 X30))\/(~(c3_1 X30))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (c3_1 (a730)) -> (~(c1_1 (a730))) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (c0_1 (a730)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hfc zenon_Hf zenon_Hc9 zenon_Hca zenon_Hcb zenon_H1be zenon_H60 zenon_H1ae zenon_H1ad zenon_H1ac zenon_H212 zenon_H213 zenon_Hb1 zenon_H214 zenon_He3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.80 apply (zenon_L211_); trivial. % 0.61/0.80 apply (zenon_L167_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H51 | zenon_intro zenon_He4 ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H10 | zenon_intro zenon_Hd2 ]. % 0.61/0.80 apply (zenon_L211_); trivial. % 0.61/0.80 apply (zenon_L44_); trivial. % 0.61/0.80 (* end of lemma zenon_L212_ *) % 0.61/0.80 assert (zenon_L213_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a731))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> ((forall X54 : zenon_U, ((ndr1_0)->((~(c0_1 X54))\/((~(c2_1 X54))\/(~(c3_1 X54))))))\/(hskp21)) -> (~(hskp21)) -> (c3_1 (a730)) -> (c0_1 (a730)) -> (ndr1_0) -> False). % 0.61/0.80 do 0 intro. intros zenon_He6 zenon_H1ac zenon_H1ae zenon_H1ad zenon_H1de zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_Hb1 zenon_Hae zenon_H212 zenon_H214 zenon_Hf. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.80 apply (zenon_L113_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_L182_); trivial. % 0.61/0.80 (* end of lemma zenon_L213_ *) % 0.61/0.80 assert (zenon_L214_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (ndr1_0) -> (~(c2_1 (a793))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> False). % 0.61/0.80 do 0 intro. intros zenon_He6 zenon_H1ae zenon_H1ad zenon_H1ac zenon_H1d5 zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_Hf zenon_Hd3 zenon_Hd4 zenon_Hd5. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.80 apply (zenon_L111_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_L46_); trivial. % 0.61/0.80 (* end of lemma zenon_L214_ *) % 0.61/0.80 assert (zenon_L215_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a731))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> (ndr1_0) -> (~(c2_1 (a793))) -> (c0_1 (a793)) -> (c3_1 (a793)) -> False). % 0.61/0.80 do 0 intro. intros zenon_He6 zenon_H1ac zenon_H1ae zenon_H1ad zenon_H1de zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca zenon_Hf zenon_Hd3 zenon_Hd4 zenon_Hd5. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.80 apply (zenon_L113_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_L46_); trivial. % 0.61/0.80 (* end of lemma zenon_L215_ *) % 0.61/0.80 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a793))/\((c3_1 (a793))/\(~(c2_1 (a793)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((~(c0_1 X7))\/((~(c1_1 X7))\/(~(c3_1 X7)))))))) -> (~(c3_1 (a749))) -> (~(c1_1 (a749))) -> (~(c0_1 (a749))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c1_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a731))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c2_1 X59))\/(~(c3_1 X59))))))\/(forall X60 : zenon_U, ((ndr1_0)->((c2_1 X60)\/((~(c0_1 X60))\/(~(c3_1 X60)))))))) -> (~(c0_1 (a735))) -> (c3_1 (a735)) -> (c2_1 (a735)) -> False). % 0.61/0.80 do 0 intro. intros zenon_He5 zenon_H1e1 zenon_H69 zenon_H68 zenon_H67 zenon_He6 zenon_H1ac zenon_H1ae zenon_H1ad zenon_He3 zenon_Hc9 zenon_Hcb zenon_Hca. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H66 | zenon_intro zenon_H1e2 ]. % 0.61/0.80 apply (zenon_L23_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1de ]. % 0.61/0.80 apply (zenon_L214_); trivial. % 0.61/0.80 apply (zenon_L215_); trivial. % 0.61/0.80 (* end of lemma zenon_L216_ *) % 0.61/0.80 assert (zenon_L217_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c1_1 X26))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp13))) -> (c1_1 (a734)) -> (~(c3_1 (a734))) -> (~(c0_1 (a734))) -> (c3_1 (a731)) -> (c1_1 (a731)) -> (~(c2_1 (a731))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H243 zenon_H124 zenon_H123 zenon_H121 zenon_H1ae zenon_H1ad zenon_H1ac zenon_Hf zenon_H12 zenon_H8e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_Hea | zenon_intro zenon_H244 ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H8f ]. % 0.61/0.80 apply (zenon_L111_); trivial. % 0.61/0.80 exact (zenon_H8e zenon_H8f). % 0.61/0.80 (* end of lemma zenon_L217_ *) % 0.61/0.80 apply NNPP. intro zenon_G. % 0.61/0.80 apply zenon_G. zenon_intro zenon_H25f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H261. zenon_intro zenon_H260. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H263. zenon_intro zenon_H262. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H265. zenon_intro zenon_H264. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_H267. zenon_intro zenon_H266. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H269. zenon_intro zenon_H268. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H1f2. zenon_intro zenon_H26a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H14b. zenon_intro zenon_H26b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H87. zenon_intro zenon_H26c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H13a. zenon_intro zenon_H26d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H149. zenon_intro zenon_H26e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H88. zenon_intro zenon_H26f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H75. zenon_intro zenon_H270. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H270). zenon_intro zenon_H272. zenon_intro zenon_H271. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H235. zenon_intro zenon_H273. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H273). zenon_intro zenon_H275. zenon_intro zenon_H274. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H259. zenon_intro zenon_H276. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H1e9. zenon_intro zenon_H277. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H279. zenon_intro zenon_H278. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H1b8. zenon_intro zenon_H27a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H18a. zenon_intro zenon_H27b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H19d. zenon_intro zenon_H27c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_Hfc. zenon_intro zenon_H27d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H1cb. zenon_intro zenon_H27e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H1e8. zenon_intro zenon_H27f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H1e7. zenon_intro zenon_H280. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_Hb5. zenon_intro zenon_H281. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H20e. zenon_intro zenon_H282. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H284. zenon_intro zenon_H283. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H174. zenon_intro zenon_H287. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H228. zenon_intro zenon_H288. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H83. zenon_intro zenon_H289. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H28b. zenon_intro zenon_H28a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H28d. zenon_intro zenon_H28c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H1e1. zenon_intro zenon_H28e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H71. zenon_intro zenon_H28f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H20f. zenon_intro zenon_H290. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H200. zenon_intro zenon_H291. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H31. zenon_intro zenon_H292. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H136. zenon_intro zenon_H293. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H295. zenon_intro zenon_H294. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H297. zenon_intro zenon_H296. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H32. zenon_intro zenon_H298. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H158. zenon_intro zenon_H29b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H133. zenon_intro zenon_H29c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H76. zenon_intro zenon_H29d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H62. zenon_intro zenon_H29e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H2a0. zenon_intro zenon_H29f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1cd. zenon_intro zenon_H2a1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_He6. zenon_intro zenon_H2a2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H2a4. zenon_intro zenon_H2a3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H2a6. zenon_intro zenon_H2a5. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H119. zenon_intro zenon_H2a7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H28. zenon_intro zenon_H2aa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H243. zenon_intro zenon_H2ab. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_Hf9. zenon_intro zenon_H2ac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H2ae. zenon_intro zenon_H2ad. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H23b. zenon_intro zenon_H2af. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H230. zenon_intro zenon_H2b0. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H147. zenon_intro zenon_H2b3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_He3. zenon_intro zenon_H2b4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H164. zenon_intro zenon_H2b5. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H1be. zenon_intro zenon_H2b8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2ba. zenon_intro zenon_H2b9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H199. zenon_intro zenon_H2bb. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H19a. zenon_intro zenon_H2bc. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H1b5. zenon_intro zenon_H2bd. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2bf. zenon_intro zenon_H2be. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H24. zenon_intro zenon_H2c0. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_Ha2. zenon_intro zenon_H2c1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H1e5. zenon_intro zenon_H2c2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H211. zenon_intro zenon_H2c5. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hc5. zenon_intro zenon_H2c6. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H2c8. zenon_intro zenon_H2c7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2ca. zenon_intro zenon_H2c9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_Hb1. zenon_intro zenon_H2cb. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2cd. zenon_intro zenon_H2cc. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H1cc. zenon_intro zenon_H2ce. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2d0. zenon_intro zenon_H2cf. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H90. zenon_intro zenon_H2d1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H17c. zenon_intro zenon_H2d2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Hd. zenon_intro zenon_H7. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d6 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_L14_); trivial. % 0.61/0.80 apply (zenon_L17_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.80 apply (zenon_L28_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.80 apply (zenon_L31_); trivial. % 0.61/0.80 apply (zenon_L39_); trivial. % 0.61/0.80 apply (zenon_L42_); trivial. % 0.61/0.80 apply (zenon_L47_); trivial. % 0.61/0.80 apply (zenon_L52_); trivial. % 0.61/0.80 apply (zenon_L55_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H66 | zenon_intro zenon_H2d8 ]. % 0.61/0.80 apply (zenon_L23_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H12 | zenon_intro zenon_H2f ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.61/0.80 generalize (zenon_H12 (a744)). zenon_intro zenon_H1b. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_He | zenon_intro zenon_H1c ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.61/0.80 exact (zenon_H13 zenon_H1e). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H19 ]. % 0.61/0.80 generalize (zenon_H39 (a744)). zenon_intro zenon_H2d9. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H2d9); [ zenon_intro zenon_He | zenon_intro zenon_H2da ]. % 0.61/0.80 exact (zenon_He zenon_Hf). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H1e | zenon_intro zenon_H2db ]. % 0.61/0.80 exact (zenon_H13 zenon_H1e). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H18 | zenon_intro zenon_H1a ]. % 0.61/0.80 exact (zenon_H11 zenon_H18). % 0.61/0.80 exact (zenon_H1a zenon_H1f). % 0.61/0.80 exact (zenon_H19 zenon_H14). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 0.61/0.80 exact (zenon_H3 zenon_H4). % 0.61/0.80 exact (zenon_H2e zenon_H2f). % 0.61/0.80 exact (zenon_H2e zenon_H2f). % 0.61/0.80 apply (zenon_L59_); trivial. % 0.61/0.80 apply (zenon_L61_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Hf. zenon_intro zenon_H1f3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H124. zenon_intro zenon_H1f4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H121. zenon_intro zenon_H123. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_L66_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_L67_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_L58_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H12 | zenon_intro zenon_H1ce ]. % 0.61/0.80 apply (zenon_L56_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H13b | zenon_intro zenon_H50 ]. % 0.61/0.80 apply (zenon_L68_); trivial. % 0.61/0.80 apply (zenon_L70_); trivial. % 0.61/0.80 apply (zenon_L71_); trivial. % 0.61/0.80 apply (zenon_L73_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Hf. zenon_intro zenon_H2dc. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H14f. zenon_intro zenon_H2dd. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H150. zenon_intro zenon_H151. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_L77_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.80 apply (zenon_L28_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H78 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L80_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_Ha | zenon_intro zenon_H4 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 exact (zenon_H3 zenon_H4). % 0.61/0.80 apply (zenon_L27_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Hf. zenon_intro zenon_H1f3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H124. zenon_intro zenon_H1f4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H121. zenon_intro zenon_H123. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H162 | zenon_intro zenon_H173 ]. % 0.61/0.80 apply (zenon_L83_); trivial. % 0.61/0.80 apply (zenon_L86_); trivial. % 0.61/0.80 apply (zenon_L73_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_Hf. zenon_intro zenon_H2de. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H1ad. zenon_intro zenon_H2df. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H1ae. zenon_intro zenon_H1ac. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H2e0 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.80 apply (zenon_L92_); trivial. % 0.61/0.80 apply (zenon_L99_); trivial. % 0.61/0.80 apply (zenon_L104_); trivial. % 0.61/0.80 apply (zenon_L24_); trivial. % 0.61/0.80 apply (zenon_L76_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_L107_); trivial. % 0.61/0.80 apply (zenon_L109_); trivial. % 0.61/0.80 apply (zenon_L115_); trivial. % 0.61/0.80 apply (zenon_L116_); trivial. % 0.61/0.80 apply (zenon_L118_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_L124_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_Hf. zenon_intro zenon_H10e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H100. zenon_intro zenon_H10f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H101. zenon_intro zenon_Hff. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.80 apply (zenon_L92_); trivial. % 0.61/0.80 apply (zenon_L127_); trivial. % 0.61/0.80 apply (zenon_L128_); trivial. % 0.61/0.80 apply (zenon_L132_); trivial. % 0.61/0.80 apply (zenon_L76_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_L107_); trivial. % 0.61/0.80 apply (zenon_L123_); trivial. % 0.61/0.80 apply (zenon_L132_); trivial. % 0.61/0.80 apply (zenon_L116_); trivial. % 0.61/0.80 apply (zenon_L133_); trivial. % 0.61/0.80 apply (zenon_L138_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hf. zenon_intro zenon_H2e1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H1f7. zenon_intro zenon_H2e2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1f5. zenon_intro zenon_H1f6. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_L7_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_Hf. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H14. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H13. zenon_intro zenon_H11. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_L144_); trivial. % 0.61/0.80 apply (zenon_L104_); trivial. % 0.61/0.80 apply (zenon_L24_); trivial. % 0.61/0.80 apply (zenon_L76_); trivial. % 0.61/0.80 apply (zenon_L118_); trivial. % 0.61/0.80 apply (zenon_L148_); trivial. % 0.61/0.80 apply (zenon_L138_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_Hf. zenon_intro zenon_H2e3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H214. zenon_intro zenon_H2e4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H212. zenon_intro zenon_H213. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H3 | zenon_intro zenon_H2d6 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H2e0 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L121_); trivial. % 0.61/0.80 apply (zenon_L150_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H8c | zenon_intro zenon_Hb4 ]. % 0.61/0.80 apply (zenon_L31_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hf. zenon_intro zenon_Hb6. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H97. zenon_intro zenon_Hb7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_H95. zenon_intro zenon_H96. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.80 apply (zenon_L35_); trivial. % 0.61/0.80 apply (zenon_L153_); trivial. % 0.61/0.80 apply (zenon_L150_); trivial. % 0.61/0.80 apply (zenon_L156_); trivial. % 0.61/0.80 apply (zenon_L162_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.80 apply (zenon_L25_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hf. zenon_intro zenon_H84. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H79. zenon_intro zenon_H85. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7a. zenon_intro zenon_H7b. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.80 apply (zenon_L122_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hf. zenon_intro zenon_Hfd. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hed. zenon_intro zenon_Hfe. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Heb. zenon_intro zenon_Hec. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H46 | zenon_intro zenon_H134 ]. % 0.61/0.80 apply (zenon_L18_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_Hea | zenon_intro zenon_H21 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H94 | zenon_intro zenon_H1e6 ]. % 0.61/0.80 apply (zenon_L48_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H179 | zenon_intro zenon_H1e4 ]. % 0.61/0.80 exact (zenon_H178 zenon_H179). % 0.61/0.80 exact (zenon_H1e3 zenon_H1e4). % 0.61/0.80 exact (zenon_H20 zenon_H21). % 0.61/0.80 apply (zenon_L164_); trivial. % 0.61/0.80 apply (zenon_L156_); trivial. % 0.61/0.80 apply (zenon_L24_); trivial. % 0.61/0.80 apply (zenon_L185_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Hf. zenon_intro zenon_H1f3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H124. zenon_intro zenon_H1f4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H121. zenon_intro zenon_H123. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H239 | zenon_intro zenon_H24e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hfb ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L190_); trivial. % 0.61/0.80 apply (zenon_L42_); trivial. % 0.61/0.80 apply (zenon_L155_); trivial. % 0.61/0.80 apply (zenon_L193_); trivial. % 0.61/0.80 apply (zenon_L195_); trivial. % 0.61/0.80 apply (zenon_L156_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H14e | zenon_intro zenon_H2e5 ]. % 0.61/0.80 apply (zenon_L196_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H122 | zenon_intro zenon_Hc ]. % 0.61/0.80 apply (zenon_L64_); trivial. % 0.61/0.80 exact (zenon_Hb zenon_Hc). % 0.61/0.80 apply (zenon_L198_); trivial. % 0.61/0.80 apply (zenon_L65_); trivial. % 0.61/0.80 apply (zenon_L199_); trivial. % 0.61/0.80 apply (zenon_L71_); trivial. % 0.61/0.80 apply (zenon_L185_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hf. zenon_intro zenon_H2e1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H1f7. zenon_intro zenon_H2e2. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H1f5. zenon_intro zenon_H1f6. % 0.61/0.80 apply (zenon_L200_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_Hf. zenon_intro zenon_H2dc. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H14f. zenon_intro zenon_H2dd. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H150. zenon_intro zenon_H151. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_L75_); trivial. % 0.61/0.80 apply (zenon_L162_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11e). zenon_intro zenon_Hf. zenon_intro zenon_H11f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H49. zenon_intro zenon_H120. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H47. zenon_intro zenon_H48. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H1 | zenon_intro zenon_H89 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_Hf. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H54. zenon_intro zenon_H8b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_L75_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_Hf. zenon_intro zenon_H11c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H112. zenon_intro zenon_H11d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H110. zenon_intro zenon_H111. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.80 apply (zenon_L202_); trivial. % 0.61/0.80 apply (zenon_L203_); trivial. % 0.61/0.80 apply (zenon_L155_); trivial. % 0.61/0.80 apply (zenon_L24_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_Hf. zenon_intro zenon_H84. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H84). zenon_intro zenon_H79. zenon_intro zenon_H85. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H85). zenon_intro zenon_H7a. zenon_intro zenon_H7b. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H9e | zenon_intro zenon_Hb0 ]. % 0.61/0.80 apply (zenon_L163_); trivial. % 0.61/0.80 apply (zenon_L203_); trivial. % 0.61/0.80 apply (zenon_L155_); trivial. % 0.61/0.80 apply (zenon_L24_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H178 | zenon_intro zenon_H1b7 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L168_); trivial. % 0.61/0.80 apply (zenon_L205_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L171_); trivial. % 0.61/0.80 apply (zenon_L205_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Hf. zenon_intro zenon_H1b9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H19f. zenon_intro zenon_H1ba. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1a0. zenon_intro zenon_H19e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L178_); trivial. % 0.61/0.80 apply (zenon_L205_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H91 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 apply (zenon_L180_); trivial. % 0.61/0.80 apply (zenon_L205_); trivial. % 0.61/0.80 apply (zenon_L181_); trivial. % 0.61/0.80 apply (zenon_L207_); trivial. % 0.61/0.80 apply (zenon_L184_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Hf. zenon_intro zenon_H1f3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H124. zenon_intro zenon_H1f4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H121. zenon_intro zenon_H123. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H26 | zenon_intro zenon_H11e ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_L75_); trivial. % 0.61/0.80 apply (zenon_L198_); trivial. % 0.61/0.80 apply (zenon_L71_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_Hb | zenon_intro zenon_H135 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H11b ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H64 | zenon_intro zenon_H82 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H14e | zenon_intro zenon_H2e5 ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H122 | zenon_intro zenon_Hc ]. % 0.61/0.80 apply (zenon_L208_); trivial. % 0.61/0.80 exact (zenon_Hb zenon_Hc). % 0.61/0.80 apply (zenon_L207_); trivial. % 0.61/0.80 apply (zenon_L184_); trivial. % 0.61/0.80 apply (zenon_L209_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_Hf. zenon_intro zenon_H2de. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H1ad. zenon_intro zenon_H2df. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H1ae. zenon_intro zenon_H1ac. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H5 | zenon_intro zenon_H1f1 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H22 | zenon_intro zenon_H30 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H10 | zenon_intro zenon_H25 ]. % 0.61/0.80 apply (zenon_L210_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H21 | zenon_intro zenon_H23 ]. % 0.61/0.80 exact (zenon_H20 zenon_H21). % 0.61/0.80 exact (zenon_H22 zenon_H23). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H50 | zenon_intro zenon_H61 ]. % 0.61/0.80 apply (zenon_L102_); trivial. % 0.61/0.80 exact (zenon_H60 zenon_H61). % 0.61/0.80 apply (zenon_L155_); trivial. % 0.61/0.80 apply (zenon_L24_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H60 | zenon_intro zenon_H70 ]. % 0.61/0.80 apply (zenon_L212_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_Hf. zenon_intro zenon_H72. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H67. zenon_intro zenon_H73. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H68. zenon_intro zenon_H69. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H66 | zenon_intro zenon_H1e2 ]. % 0.61/0.80 apply (zenon_L23_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1de ]. % 0.61/0.80 apply (zenon_L130_); trivial. % 0.61/0.80 apply (zenon_L213_); trivial. % 0.61/0.80 apply (zenon_L216_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Hf. zenon_intro zenon_H1f3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H124. zenon_intro zenon_H1f4. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H121. zenon_intro zenon_H123. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H20 | zenon_intro zenon_H14a ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_Hea | zenon_intro zenon_H244 ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H8f ]. % 0.61/0.80 apply (zenon_L130_); trivial. % 0.61/0.80 exact (zenon_H8e zenon_H8f). % 0.61/0.80 apply (zenon_L156_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_Hf. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hca. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_Hcb. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H8e | zenon_intro zenon_H10d ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hae | zenon_intro zenon_He5 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.80 apply (zenon_L217_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_L182_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hf. zenon_intro zenon_He7. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hd4. zenon_intro zenon_He8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hd5. zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_H12 | zenon_intro zenon_He9 ]. % 0.61/0.80 apply (zenon_L217_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H51 | zenon_intro zenon_Hdc ]. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 apply (zenon_L46_); trivial. % 0.61/0.80 apply (zenon_L181_); trivial. % 0.61/0.80 Qed. % 0.61/0.80 % SZS output end Proof % 0.61/0.80 (* END-PROOF *) % 0.61/0.80 nodes searched: 21971 % 0.61/0.80 max branch formulas: 445 % 0.61/0.80 proof nodes created: 2183 % 0.61/0.80 formulas created: 28850 % 0.61/0.80 %------------------------------------------------------------------------------