%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN468+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 13:53:11 EDT 2022 % Result : Theorem 0.63s 0.84s % Output : Proof 0.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN468+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 20:38:13 EDT 2022 % 0.12/0.33 % CPUTime : % 0.63/0.84 (* PROOF-FOUND *) % 0.63/0.84 % SZS status Theorem % 0.63/0.84 (* BEGIN-PROOF *) % 0.63/0.84 % SZS output start Proof % 0.63/0.84 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a291))/\((~(c2_1 (a291)))/\(~(c3_1 (a291)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a292))/\((c3_1 (a292))/\(~(c1_1 (a292)))))))/\(((~(hskp2))\/((ndr1_0)/\((c3_1 (a293))/\((~(c1_1 (a293)))/\(~(c2_1 (a293)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a294))/\((c2_1 (a294))/\(~(c1_1 (a294)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a295))/\((~(c2_1 (a295)))/\(~(c3_1 (a295)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a297))/\((c2_1 (a297))/\(~(c0_1 (a297)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a298))/\((~(c0_1 (a298)))/\(~(c1_1 (a298)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a305))/\((c2_1 (a305))/\(~(c3_1 (a305)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a309))/\((c2_1 (a309))/\(~(c3_1 (a309)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))))/\(((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c0_1 (a329)))/\((~(c1_1 (a329)))/\(~(c2_1 (a329)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))))/\(((~(hskp25))\/((ndr1_0)/\((c3_1 (a353))/\((~(c0_1 (a353)))/\(~(c1_1 (a353)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a332))/\((c1_1 (a332))/\(c3_1 (a332))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(~(c2_1 Z))))))\/((hskp5)\/(hskp6)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c3_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/(hskp7)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp4)\/(hskp6)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp13)\/(hskp16)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/(hskp15)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((hskp3)\/(hskp2)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((hskp11)\/(hskp17)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19)))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(hskp20)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp21)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57))))))))/\(((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((hskp30)\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16)))/\(((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp9)\/(hskp12)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp1)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp7)\/(hskp25)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp13)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/((hskp25)\/(hskp21)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp20))/\(((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26)))/\(((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23))/\(((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28)))/\(((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28)))/\(((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp11)\/(hskp25)))/\(((hskp31)\/((hskp27)\/(hskp24)))/\(((hskp9)\/((hskp16)\/(hskp22)))/\(((hskp3)\/((hskp23)\/(hskp0)))/\(((hskp8)\/((hskp13)\/(hskp18)))/\(((hskp7)\/((hskp19)\/(hskp12)))/\(((hskp7)\/((hskp1)\/(hskp16)))/\(((hskp13)\/((hskp2)\/(hskp20)))/\(((hskp5)\/((hskp16)\/(hskp22)))/\(((hskp23)\/((hskp12)\/(hskp2)))/\(((hskp24)\/((hskp19)\/(hskp20)))/\((hskp21)\/((hskp26)\/(hskp17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.63/0.84 Proof. % 0.63/0.84 assert (zenon_L1_ : (~(hskp8)) -> (hskp8) -> False). % 0.63/0.84 do 0 intro. intros zenon_H1 zenon_H2. % 0.63/0.84 exact (zenon_H1 zenon_H2). % 0.63/0.84 (* end of lemma zenon_L1_ *) % 0.63/0.84 assert (zenon_L2_ : (~(hskp13)) -> (hskp13) -> False). % 0.63/0.84 do 0 intro. intros zenon_H3 zenon_H4. % 0.63/0.84 exact (zenon_H3 zenon_H4). % 0.63/0.84 (* end of lemma zenon_L2_ *) % 0.63/0.84 assert (zenon_L3_ : (~(hskp18)) -> (hskp18) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5 zenon_H6. % 0.63/0.84 exact (zenon_H5 zenon_H6). % 0.63/0.84 (* end of lemma zenon_L3_ *) % 0.63/0.84 assert (zenon_L4_ : ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp8)) -> (~(hskp13)) -> (~(hskp18)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.63/0.84 exact (zenon_H1 zenon_H2). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.63/0.84 exact (zenon_H3 zenon_H4). % 0.63/0.84 exact (zenon_H5 zenon_H6). % 0.63/0.84 (* end of lemma zenon_L4_ *) % 0.63/0.84 assert (zenon_L5_ : (~(hskp5)) -> (hskp5) -> False). % 0.63/0.84 do 0 intro. intros zenon_H9 zenon_Ha. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 (* end of lemma zenon_L5_ *) % 0.63/0.84 assert (zenon_L6_ : (~(hskp16)) -> (hskp16) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hb zenon_Hc. % 0.63/0.84 exact (zenon_Hb zenon_Hc). % 0.63/0.84 (* end of lemma zenon_L6_ *) % 0.63/0.84 assert (zenon_L7_ : (~(hskp22)) -> (hskp22) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd zenon_He. % 0.63/0.84 exact (zenon_Hd zenon_He). % 0.63/0.84 (* end of lemma zenon_L7_ *) % 0.63/0.84 assert (zenon_L8_ : ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> (~(hskp16)) -> (~(hskp22)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.63/0.84 exact (zenon_Hb zenon_Hc). % 0.63/0.84 exact (zenon_Hd zenon_He). % 0.63/0.84 (* end of lemma zenon_L8_ *) % 0.63/0.84 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.63/0.84 do 0 intro. intros zenon_H11 zenon_H12. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 (* end of lemma zenon_L9_ *) % 0.63/0.84 assert (zenon_L10_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40))))) -> (ndr1_0) -> (~(c1_1 (a331))) -> (~(c2_1 (a331))) -> (~(c3_1 (a331))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.63/0.84 generalize (zenon_H13 (a331)). zenon_intro zenon_H17. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.63/0.84 exact (zenon_H14 zenon_H1a). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.63/0.84 exact (zenon_H15 zenon_H1c). % 0.63/0.84 exact (zenon_H16 zenon_H1b). % 0.63/0.84 (* end of lemma zenon_L10_ *) % 0.63/0.84 assert (zenon_L11_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a325))) -> (~(c3_1 (a325))) -> (c0_1 (a325)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H1d zenon_H12 zenon_H1e zenon_H1f zenon_H20. % 0.63/0.84 generalize (zenon_H1d (a325)). zenon_intro zenon_H21. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H11 | zenon_intro zenon_H22 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.63/0.84 exact (zenon_H1e zenon_H24). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.63/0.84 exact (zenon_H1f zenon_H26). % 0.63/0.84 exact (zenon_H25 zenon_H20). % 0.63/0.84 (* end of lemma zenon_L11_ *) % 0.63/0.84 assert (zenon_L12_ : (~(hskp3)) -> (hskp3) -> False). % 0.63/0.84 do 0 intro. intros zenon_H27 zenon_H28. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 (* end of lemma zenon_L12_ *) % 0.63/0.84 assert (zenon_L13_ : ((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (c0_1 (a325)) -> (~(c3_1 (a325))) -> (~(c1_1 (a325))) -> (~(hskp3)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H29 zenon_H2a zenon_H20 zenon_H1f zenon_H1e zenon_H27. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H14. zenon_intro zenon_H2c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ]. % 0.63/0.84 apply (zenon_L10_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ]. % 0.63/0.84 apply (zenon_L11_); trivial. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 (* end of lemma zenon_L13_ *) % 0.63/0.84 assert (zenon_L14_ : ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (c0_1 (a325)) -> (~(c3_1 (a325))) -> (~(c1_1 (a325))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H2e zenon_H2a zenon_H27 zenon_H20 zenon_H1f zenon_H1e zenon_H9 zenon_Hb zenon_Hf. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H29 ]. % 0.63/0.84 apply (zenon_L8_); trivial. % 0.63/0.84 apply (zenon_L13_); trivial. % 0.63/0.84 (* end of lemma zenon_L14_ *) % 0.63/0.84 assert (zenon_L15_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a315))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H2f zenon_H12 zenon_H30 zenon_H31 zenon_H32 zenon_H33. % 0.63/0.84 generalize (zenon_H2f (a315)). zenon_intro zenon_H34. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H11 | zenon_intro zenon_H35 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.63/0.84 exact (zenon_H30 zenon_H37). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.63/0.84 generalize (zenon_H31 (a315)). zenon_intro zenon_H3a. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H3b ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H37 | zenon_intro zenon_H3c ]. % 0.63/0.84 exact (zenon_H30 zenon_H37). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.63/0.84 exact (zenon_H3e zenon_H39). % 0.63/0.84 exact (zenon_H3d zenon_H32). % 0.63/0.84 exact (zenon_H33 zenon_H38). % 0.63/0.84 (* end of lemma zenon_L15_ *) % 0.63/0.84 assert (zenon_L16_ : (~(hskp4)) -> (hskp4) -> False). % 0.63/0.84 do 0 intro. intros zenon_H3f zenon_H40. % 0.63/0.84 exact (zenon_H3f zenon_H40). % 0.63/0.84 (* end of lemma zenon_L16_ *) % 0.63/0.84 assert (zenon_L17_ : (~(hskp11)) -> (hskp11) -> False). % 0.63/0.84 do 0 intro. intros zenon_H41 zenon_H42. % 0.63/0.84 exact (zenon_H41 zenon_H42). % 0.63/0.84 (* end of lemma zenon_L17_ *) % 0.63/0.84 assert (zenon_L18_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (~(hskp4)) -> (~(hskp11)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H43 zenon_H33 zenon_H32 zenon_H30 zenon_H12 zenon_H2f zenon_H3f zenon_H41. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H31 | zenon_intro zenon_H44 ]. % 0.63/0.84 apply (zenon_L15_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.63/0.84 exact (zenon_H3f zenon_H40). % 0.63/0.84 exact (zenon_H41 zenon_H42). % 0.63/0.84 (* end of lemma zenon_L18_ *) % 0.63/0.84 assert (zenon_L19_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H45 zenon_H27 zenon_H12 zenon_H30 zenon_H32 zenon_H33 zenon_H3f zenon_H41 zenon_H43. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.63/0.84 apply (zenon_L18_); trivial. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 (* end of lemma zenon_L19_ *) % 0.63/0.84 assert (zenon_L20_ : (~(hskp19)) -> (hskp19) -> False). % 0.63/0.84 do 0 intro. intros zenon_H46 zenon_H47. % 0.63/0.84 exact (zenon_H46 zenon_H47). % 0.63/0.84 (* end of lemma zenon_L20_ *) % 0.63/0.84 assert (zenon_L21_ : ((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H29 zenon_H48 zenon_H5 zenon_H46. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H14. zenon_intro zenon_H2c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H13 | zenon_intro zenon_H49 ]. % 0.63/0.84 apply (zenon_L10_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H6 | zenon_intro zenon_H47 ]. % 0.63/0.84 exact (zenon_H5 zenon_H6). % 0.63/0.84 exact (zenon_H46 zenon_H47). % 0.63/0.84 (* end of lemma zenon_L21_ *) % 0.63/0.84 assert (zenon_L22_ : ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp19)) -> (~(hskp18)) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H2e zenon_H48 zenon_H46 zenon_H5 zenon_H9 zenon_Hb zenon_Hf. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H29 ]. % 0.63/0.84 apply (zenon_L8_); trivial. % 0.63/0.84 apply (zenon_L21_); trivial. % 0.63/0.84 (* end of lemma zenon_L22_ *) % 0.63/0.84 assert (zenon_L23_ : (~(hskp27)) -> (hskp27) -> False). % 0.63/0.84 do 0 intro. intros zenon_H4a zenon_H4b. % 0.63/0.84 exact (zenon_H4a zenon_H4b). % 0.63/0.84 (* end of lemma zenon_L23_ *) % 0.63/0.84 assert (zenon_L24_ : (~(hskp24)) -> (hskp24) -> False). % 0.63/0.84 do 0 intro. intros zenon_H4c zenon_H4d. % 0.63/0.84 exact (zenon_H4c zenon_H4d). % 0.63/0.84 (* end of lemma zenon_L24_ *) % 0.63/0.84 assert (zenon_L25_ : ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp31)) -> (~(hskp27)) -> (~(hskp24)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H4e zenon_H4f zenon_H4a zenon_H4c. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 0.63/0.84 exact (zenon_H4f zenon_H51). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H4b | zenon_intro zenon_H4d ]. % 0.63/0.84 exact (zenon_H4a zenon_H4b). % 0.63/0.84 exact (zenon_H4c zenon_H4d). % 0.63/0.84 (* end of lemma zenon_L25_ *) % 0.63/0.84 assert (zenon_L26_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82)))))) -> (ndr1_0) -> (c0_1 (a367)) -> (c1_1 (a367)) -> (c2_1 (a367)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H52 zenon_H12 zenon_H53 zenon_H54 zenon_H55. % 0.63/0.84 generalize (zenon_H52 (a367)). zenon_intro zenon_H56. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_H11 | zenon_intro zenon_H57 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.63/0.84 exact (zenon_H59 zenon_H53). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.63/0.84 exact (zenon_H5b zenon_H54). % 0.63/0.84 exact (zenon_H5a zenon_H55). % 0.63/0.84 (* end of lemma zenon_L26_ *) % 0.63/0.84 assert (zenon_L27_ : (~(hskp26)) -> (hskp26) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5c zenon_H5d. % 0.63/0.84 exact (zenon_H5c zenon_H5d). % 0.63/0.84 (* end of lemma zenon_L27_ *) % 0.63/0.84 assert (zenon_L28_ : ((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5e zenon_H5f zenon_H27 zenon_H5c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H12. zenon_intro zenon_H60. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H53. zenon_intro zenon_H61. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H52 | zenon_intro zenon_H62 ]. % 0.63/0.84 apply (zenon_L26_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H28 | zenon_intro zenon_H5d ]. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 exact (zenon_H5c zenon_H5d). % 0.63/0.84 (* end of lemma zenon_L28_ *) % 0.63/0.84 assert (zenon_L29_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp26)) -> (~(hskp3)) -> (~(hskp27)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H63 zenon_H5f zenon_H5c zenon_H27 zenon_H4a zenon_H4c zenon_H4e. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.63/0.84 apply (zenon_L25_); trivial. % 0.63/0.84 apply (zenon_L28_); trivial. % 0.63/0.84 (* end of lemma zenon_L29_ *) % 0.63/0.84 assert (zenon_L30_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a368))) -> (~(c2_1 (a368))) -> (c1_1 (a368)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H64 zenon_H12 zenon_H65 zenon_H66 zenon_H67. % 0.63/0.84 generalize (zenon_H64 (a368)). zenon_intro zenon_H68. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H11 | zenon_intro zenon_H69 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.63/0.84 exact (zenon_H65 zenon_H6b). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.63/0.84 exact (zenon_H66 zenon_H6d). % 0.63/0.84 exact (zenon_H6c zenon_H67). % 0.63/0.84 (* end of lemma zenon_L30_ *) % 0.63/0.84 assert (zenon_L31_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a326))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H6e zenon_H12 zenon_H6f zenon_H70 zenon_H71. % 0.63/0.84 generalize (zenon_H6e (a326)). zenon_intro zenon_H72. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_H11 | zenon_intro zenon_H73 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.63/0.84 exact (zenon_H6f zenon_H75). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.63/0.84 exact (zenon_H77 zenon_H70). % 0.63/0.84 exact (zenon_H76 zenon_H71). % 0.63/0.84 (* end of lemma zenon_L31_ *) % 0.63/0.84 assert (zenon_L32_ : (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(c1_1 (a326))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H78 zenon_H12 zenon_H79 zenon_H70 zenon_H71. % 0.63/0.84 generalize (zenon_H78 (a326)). zenon_intro zenon_H7a. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H7a); [ zenon_intro zenon_H11 | zenon_intro zenon_H7b ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7c | zenon_intro zenon_H74 ]. % 0.63/0.84 exact (zenon_H79 zenon_H7c). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.63/0.84 exact (zenon_H77 zenon_H70). % 0.63/0.84 exact (zenon_H76 zenon_H71). % 0.63/0.84 (* end of lemma zenon_L32_ *) % 0.63/0.84 assert (zenon_L33_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a326))) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H31 zenon_H12 zenon_H6f zenon_H78 zenon_H70 zenon_H71. % 0.63/0.84 generalize (zenon_H31 (a326)). zenon_intro zenon_H7d. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_H11 | zenon_intro zenon_H7e ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H75 | zenon_intro zenon_H7f ]. % 0.63/0.84 exact (zenon_H6f zenon_H75). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H79 | zenon_intro zenon_H77 ]. % 0.63/0.84 apply (zenon_L32_); trivial. % 0.63/0.84 exact (zenon_H77 zenon_H70). % 0.63/0.84 (* end of lemma zenon_L33_ *) % 0.63/0.84 assert (zenon_L34_ : (~(hskp29)) -> (hskp29) -> False). % 0.63/0.84 do 0 intro. intros zenon_H80 zenon_H81. % 0.63/0.84 exact (zenon_H80 zenon_H81). % 0.63/0.84 (* end of lemma zenon_L34_ *) % 0.63/0.84 assert (zenon_L35_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a326)) -> (c2_1 (a326)) -> (~(c0_1 (a326))) -> (ndr1_0) -> (~(c0_1 (a368))) -> (~(c2_1 (a368))) -> (c1_1 (a368)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp29)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H82 zenon_H71 zenon_H70 zenon_H6f zenon_H12 zenon_H65 zenon_H66 zenon_H67 zenon_H83 zenon_H80. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.84 apply (zenon_L30_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.63/0.84 apply (zenon_L30_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.63/0.84 apply (zenon_L31_); trivial. % 0.63/0.84 apply (zenon_L33_); trivial. % 0.63/0.84 exact (zenon_H80 zenon_H81). % 0.63/0.84 (* end of lemma zenon_L35_ *) % 0.63/0.84 assert (zenon_L36_ : (forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> (~(c1_1 (a301))) -> (c0_1 (a301)) -> (c2_1 (a301)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H86 zenon_H12 zenon_H87 zenon_H88 zenon_H89. % 0.63/0.84 generalize (zenon_H86 (a301)). zenon_intro zenon_H8a. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H11 | zenon_intro zenon_H8b ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ]. % 0.63/0.84 exact (zenon_H87 zenon_H8d). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 0.63/0.84 exact (zenon_H8f zenon_H88). % 0.63/0.84 exact (zenon_H8e zenon_H89). % 0.63/0.84 (* end of lemma zenon_L36_ *) % 0.63/0.84 assert (zenon_L37_ : ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (c2_1 (a301)) -> (forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (c0_1 (a301)) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5f zenon_H89 zenon_H86 zenon_H88 zenon_H12 zenon_H27 zenon_H5c. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H52 | zenon_intro zenon_H62 ]. % 0.63/0.84 generalize (zenon_H52 (a301)). zenon_intro zenon_H90. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H90); [ zenon_intro zenon_H11 | zenon_intro zenon_H91 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8f | zenon_intro zenon_H92 ]. % 0.63/0.84 exact (zenon_H8f zenon_H88). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H87 | zenon_intro zenon_H8e ]. % 0.63/0.84 apply (zenon_L36_); trivial. % 0.63/0.84 exact (zenon_H8e zenon_H89). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H28 | zenon_intro zenon_H5d ]. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 exact (zenon_H5c zenon_H5d). % 0.63/0.84 (* end of lemma zenon_L37_ *) % 0.63/0.84 assert (zenon_L38_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82)))))) -> (ndr1_0) -> (c0_1 (a301)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22)))))) -> (c3_1 (a301)) -> (c2_1 (a301)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H52 zenon_H12 zenon_H88 zenon_H93 zenon_H94 zenon_H89. % 0.63/0.84 generalize (zenon_H52 (a301)). zenon_intro zenon_H90. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H90); [ zenon_intro zenon_H11 | zenon_intro zenon_H91 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H8f | zenon_intro zenon_H92 ]. % 0.63/0.84 exact (zenon_H8f zenon_H88). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H87 | zenon_intro zenon_H8e ]. % 0.63/0.84 generalize (zenon_H93 (a301)). zenon_intro zenon_H95. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H11 | zenon_intro zenon_H96 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H8d | zenon_intro zenon_H97 ]. % 0.63/0.84 exact (zenon_H87 zenon_H8d). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H8f | zenon_intro zenon_H98 ]. % 0.63/0.84 exact (zenon_H8f zenon_H88). % 0.63/0.84 exact (zenon_H98 zenon_H94). % 0.63/0.84 exact (zenon_H8e zenon_H89). % 0.63/0.84 (* end of lemma zenon_L38_ *) % 0.63/0.84 assert (zenon_L39_ : ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (c2_1 (a301)) -> (c3_1 (a301)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a301)) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5f zenon_H89 zenon_H94 zenon_H93 zenon_H88 zenon_H12 zenon_H27 zenon_H5c. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H52 | zenon_intro zenon_H62 ]. % 0.63/0.84 apply (zenon_L38_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H28 | zenon_intro zenon_H5d ]. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 exact (zenon_H5c zenon_H5d). % 0.63/0.84 (* end of lemma zenon_L39_ *) % 0.63/0.84 assert (zenon_L40_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp26)) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp16)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H99 zenon_H9a zenon_H5c zenon_H27 zenon_H5f zenon_Hb. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H86 | zenon_intro zenon_H9d ]. % 0.63/0.84 apply (zenon_L37_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc ]. % 0.63/0.84 apply (zenon_L39_); trivial. % 0.63/0.84 exact (zenon_Hb zenon_Hc). % 0.63/0.84 (* end of lemma zenon_L40_ *) % 0.63/0.84 assert (zenon_L41_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp3)) -> (~(hskp26)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a326)) -> (c2_1 (a326)) -> (~(c0_1 (a326))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H9e zenon_H9f zenon_H9a zenon_Hb zenon_H27 zenon_H5c zenon_H5f zenon_H83 zenon_H71 zenon_H70 zenon_H6f zenon_H82. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.84 apply (zenon_L35_); trivial. % 0.63/0.84 apply (zenon_L40_); trivial. % 0.63/0.84 (* end of lemma zenon_L41_ *) % 0.63/0.84 assert (zenon_L42_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a359))) -> (~(c1_1 (a359))) -> (~(c3_1 (a359))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H2f zenon_H12 zenon_Ha2 zenon_Ha3 zenon_Ha4. % 0.63/0.84 generalize (zenon_H2f (a359)). zenon_intro zenon_Ha5. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha6 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.63/0.84 exact (zenon_Ha2 zenon_Ha8). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.63/0.84 exact (zenon_Ha3 zenon_Haa). % 0.63/0.84 exact (zenon_Ha4 zenon_Ha9). % 0.63/0.84 (* end of lemma zenon_L42_ *) % 0.63/0.84 assert (zenon_L43_ : ((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(hskp3)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hab zenon_H45 zenon_H27. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H12. zenon_intro zenon_Hac. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_Ha2. zenon_intro zenon_Had. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.63/0.84 apply (zenon_L42_); trivial. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 (* end of lemma zenon_L43_ *) % 0.63/0.84 assert (zenon_L44_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c0_1 (a326))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4c zenon_H4e zenon_H82 zenon_H6f zenon_H70 zenon_H71 zenon_H83 zenon_Hb zenon_H9a zenon_H9f zenon_Haf. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.63/0.84 apply (zenon_L29_); trivial. % 0.63/0.84 apply (zenon_L41_); trivial. % 0.63/0.84 apply (zenon_L43_); trivial. % 0.63/0.84 (* end of lemma zenon_L44_ *) % 0.63/0.84 assert (zenon_L45_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hb3. % 0.63/0.84 generalize (zenon_Hb0 (a341)). zenon_intro zenon_Hb4. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hb4); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb5 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ]. % 0.63/0.84 exact (zenon_Hb1 zenon_Hb7). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.63/0.84 exact (zenon_Hb2 zenon_Hb9). % 0.63/0.84 exact (zenon_Hb8 zenon_Hb3). % 0.63/0.84 (* end of lemma zenon_L45_ *) % 0.63/0.84 assert (zenon_L46_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c2_1 (a341)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hba zenon_H12 zenon_Hb1 zenon_Hb2 zenon_Hbb. % 0.63/0.84 generalize (zenon_Hba (a341)). zenon_intro zenon_Hbc. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_H11 | zenon_intro zenon_Hbd ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hbe ]. % 0.63/0.84 exact (zenon_Hb1 zenon_Hb7). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbf ]. % 0.63/0.84 exact (zenon_Hb2 zenon_Hb9). % 0.63/0.84 exact (zenon_Hbf zenon_Hbb). % 0.63/0.84 (* end of lemma zenon_L46_ *) % 0.63/0.84 assert (zenon_L47_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a341))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H64 zenon_H12 zenon_Hb1 zenon_Hba zenon_Hb2 zenon_Hb3. % 0.63/0.84 generalize (zenon_H64 (a341)). zenon_intro zenon_Hc0. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc1 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc2 ]. % 0.63/0.84 exact (zenon_Hb1 zenon_Hb7). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hb8 ]. % 0.63/0.84 apply (zenon_L46_); trivial. % 0.63/0.84 exact (zenon_Hb8 zenon_Hb3). % 0.63/0.84 (* end of lemma zenon_L47_ *) % 0.63/0.84 assert (zenon_L48_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a326))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H64 zenon_H12 zenon_H6f zenon_H70 zenon_H71. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.63/0.84 apply (zenon_L45_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.63/0.84 apply (zenon_L47_); trivial. % 0.63/0.84 apply (zenon_L31_); trivial. % 0.63/0.84 (* end of lemma zenon_L48_ *) % 0.63/0.84 assert (zenon_L49_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a326)) -> (c2_1 (a326)) -> (~(c0_1 (a326))) -> (ndr1_0) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp29)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H82 zenon_H71 zenon_H70 zenon_H6f zenon_H12 zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H83 zenon_H80. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.84 apply (zenon_L48_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.63/0.84 apply (zenon_L48_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.63/0.84 apply (zenon_L31_); trivial. % 0.63/0.84 apply (zenon_L33_); trivial. % 0.63/0.84 exact (zenon_H80 zenon_H81). % 0.63/0.84 (* end of lemma zenon_L49_ *) % 0.63/0.84 assert (zenon_L50_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (~(hskp5)) -> (~(hskp18)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_Hb zenon_H9 zenon_H5 zenon_H48 zenon_H2e. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.63/0.84 apply (zenon_L22_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.84 apply (zenon_L44_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.84 apply (zenon_L49_); trivial. % 0.63/0.84 apply (zenon_L40_); trivial. % 0.63/0.84 apply (zenon_L43_); trivial. % 0.63/0.84 (* end of lemma zenon_L50_ *) % 0.63/0.84 assert (zenon_L51_ : ((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hcd zenon_H2e zenon_H2a zenon_H27 zenon_H9 zenon_Hb zenon_Hf. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H20. zenon_intro zenon_Hcf. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 0.63/0.84 apply (zenon_L14_); trivial. % 0.63/0.84 (* end of lemma zenon_L51_ *) % 0.63/0.84 assert (zenon_L52_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.63/0.84 apply (zenon_L50_); trivial. % 0.63/0.84 apply (zenon_L51_); trivial. % 0.63/0.84 (* end of lemma zenon_L52_ *) % 0.63/0.84 assert (zenon_L53_ : (~(hskp0)) -> (hskp0) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd1 zenon_Hd2. % 0.63/0.84 exact (zenon_Hd1 zenon_Hd2). % 0.63/0.84 (* end of lemma zenon_L53_ *) % 0.63/0.84 assert (zenon_L54_ : (~(hskp17)) -> (hskp17) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd3 zenon_Hd4. % 0.63/0.84 exact (zenon_Hd3 zenon_Hd4). % 0.63/0.84 (* end of lemma zenon_L54_ *) % 0.63/0.84 assert (zenon_L55_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (c0_1 (a308)) -> (~(c2_1 (a308))) -> (~(c1_1 (a308))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp17)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H12 zenon_Hd1 zenon_Hd3. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.63/0.84 generalize (zenon_Hda (a308)). zenon_intro zenon_Hdb. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hdb); [ zenon_intro zenon_H11 | zenon_intro zenon_Hdc ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.63/0.84 exact (zenon_Hd8 zenon_Hde). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 0.63/0.84 exact (zenon_Hd7 zenon_He0). % 0.63/0.84 exact (zenon_Hdf zenon_Hd6). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd4 ]. % 0.63/0.84 exact (zenon_Hd1 zenon_Hd2). % 0.63/0.84 exact (zenon_Hd3 zenon_Hd4). % 0.63/0.84 (* end of lemma zenon_L55_ *) % 0.63/0.84 assert (zenon_L56_ : (~(hskp28)) -> (hskp28) -> False). % 0.63/0.84 do 0 intro. intros zenon_He1 zenon_He2. % 0.63/0.84 exact (zenon_He1 zenon_He2). % 0.63/0.84 (* end of lemma zenon_L56_ *) % 0.63/0.84 assert (zenon_L57_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> (~(hskp28)) -> False). % 0.63/0.84 do 0 intro. intros zenon_He3 zenon_H41 zenon_H12 zenon_H30 zenon_H32 zenon_H33 zenon_H43 zenon_H3f zenon_He1. % 0.63/0.84 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 0.63/0.84 apply (zenon_L18_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H40 | zenon_intro zenon_He2 ]. % 0.63/0.84 exact (zenon_H3f zenon_H40). % 0.63/0.84 exact (zenon_He1 zenon_He2). % 0.63/0.84 (* end of lemma zenon_L57_ *) % 0.63/0.84 assert (zenon_L58_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c0_1 (a323))) -> (~(c2_1 (a323))) -> (~(c3_1 (a323))) -> False). % 0.63/0.84 do 0 intro. intros zenon_He5 zenon_H12 zenon_He6 zenon_He7 zenon_He8. % 0.63/0.84 generalize (zenon_He5 (a323)). zenon_intro zenon_He9. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_He9); [ zenon_intro zenon_H11 | zenon_intro zenon_Hea ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.63/0.84 exact (zenon_He6 zenon_Hec). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.63/0.84 exact (zenon_He7 zenon_Hee). % 0.63/0.84 exact (zenon_He8 zenon_Hed). % 0.63/0.84 (* end of lemma zenon_L58_ *) % 0.63/0.84 assert (zenon_L59_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a315))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hba zenon_H12 zenon_H30 zenon_H33 zenon_H32. % 0.63/0.84 generalize (zenon_Hba (a315)). zenon_intro zenon_Hef. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf0 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H37 | zenon_intro zenon_Hf1 ]. % 0.63/0.84 exact (zenon_H30 zenon_H37). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H38 | zenon_intro zenon_H3d ]. % 0.63/0.84 exact (zenon_H33 zenon_H38). % 0.63/0.84 exact (zenon_H3d zenon_H32). % 0.63/0.84 (* end of lemma zenon_L59_ *) % 0.63/0.84 assert (zenon_L60_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a296))) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H6e zenon_H12 zenon_Hf2 zenon_Hf3 zenon_Hf4. % 0.63/0.84 generalize (zenon_H6e (a296)). zenon_intro zenon_Hf5. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf6 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf7 ]. % 0.63/0.84 exact (zenon_Hf2 zenon_Hf8). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.63/0.84 exact (zenon_Hfa zenon_Hf3). % 0.63/0.84 exact (zenon_Hf9 zenon_Hf4). % 0.63/0.84 (* end of lemma zenon_L60_ *) % 0.63/0.84 assert (zenon_L61_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hfb zenon_H12 zenon_H6e zenon_Hf3 zenon_Hf4. % 0.63/0.84 generalize (zenon_Hfb (a296)). zenon_intro zenon_Hfc. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hfc); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfd ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ]. % 0.63/0.84 apply (zenon_L60_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.63/0.84 exact (zenon_Hfa zenon_Hf3). % 0.63/0.84 exact (zenon_Hf9 zenon_Hf4). % 0.63/0.84 (* end of lemma zenon_L61_ *) % 0.63/0.84 assert (zenon_L62_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c3_1 (a296)) -> (c2_1 (a296)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hfe zenon_H32 zenon_H33 zenon_H30 zenon_Hf4 zenon_Hf3 zenon_H6e zenon_H12 zenon_H9. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hba | zenon_intro zenon_Hff ]. % 0.63/0.84 apply (zenon_L59_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfb | zenon_intro zenon_Ha ]. % 0.63/0.84 apply (zenon_L61_); trivial. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 (* end of lemma zenon_L62_ *) % 0.63/0.84 assert (zenon_L63_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))) -> (~(c2_1 (a323))) -> (~(c3_1 (a323))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H13 zenon_H12 zenon_H100 zenon_He7 zenon_He8. % 0.63/0.84 generalize (zenon_H13 (a323)). zenon_intro zenon_H101. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H101); [ zenon_intro zenon_H11 | zenon_intro zenon_H102 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_H103 | zenon_intro zenon_Heb ]. % 0.63/0.84 generalize (zenon_H100 (a323)). zenon_intro zenon_H104. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H104); [ zenon_intro zenon_H11 | zenon_intro zenon_H105 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hee | zenon_intro zenon_H106 ]. % 0.63/0.84 exact (zenon_He7 zenon_Hee). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hed | zenon_intro zenon_H107 ]. % 0.63/0.84 exact (zenon_He8 zenon_Hed). % 0.63/0.84 exact (zenon_H107 zenon_H103). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hee | zenon_intro zenon_Hed ]. % 0.63/0.84 exact (zenon_He7 zenon_Hee). % 0.63/0.84 exact (zenon_He8 zenon_Hed). % 0.63/0.84 (* end of lemma zenon_L63_ *) % 0.63/0.84 assert (zenon_L64_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(hskp4)) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))) -> (~(c2_1 (a323))) -> (~(c3_1 (a323))) -> (c2_1 (a296)) -> (c3_1 (a296)) -> (c1_1 (a296)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hfe zenon_H32 zenon_H33 zenon_H30 zenon_H3f zenon_H12 zenon_H100 zenon_He7 zenon_He8 zenon_Hf3 zenon_Hf4 zenon_H108 zenon_H109 zenon_H9. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hba | zenon_intro zenon_Hff ]. % 0.63/0.84 apply (zenon_L59_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfb | zenon_intro zenon_Ha ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.63/0.84 generalize (zenon_H10b (a296)). zenon_intro zenon_H10c. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_H11 | zenon_intro zenon_H10d ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H10e ]. % 0.63/0.84 generalize (zenon_Hfb (a296)). zenon_intro zenon_Hfc. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hfc); [ zenon_intro zenon_H11 | zenon_intro zenon_Hfd ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ]. % 0.63/0.84 exact (zenon_Hf2 zenon_Hf8). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.63/0.84 exact (zenon_Hfa zenon_Hf3). % 0.63/0.84 exact (zenon_Hf9 zenon_Hf4). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H10f | zenon_intro zenon_Hf9 ]. % 0.63/0.84 exact (zenon_H10f zenon_H108). % 0.63/0.84 exact (zenon_Hf9 zenon_Hf4). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H13 | zenon_intro zenon_H40 ]. % 0.63/0.84 apply (zenon_L63_); trivial. % 0.63/0.84 exact (zenon_H3f zenon_H40). % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 (* end of lemma zenon_L64_ *) % 0.63/0.84 assert (zenon_L65_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a323))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(hskp4)) -> (~(c2_1 (a323))) -> (~(c3_1 (a323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H110 zenon_H111 zenon_He6 zenon_Hfe zenon_H32 zenon_H33 zenon_H30 zenon_H3f zenon_He7 zenon_He8 zenon_H109 zenon_H9. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.63/0.84 apply (zenon_L58_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.63/0.84 apply (zenon_L62_); trivial. % 0.63/0.84 apply (zenon_L64_); trivial. % 0.63/0.84 (* end of lemma zenon_L65_ *) % 0.63/0.84 assert (zenon_L66_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H115 zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_H33 zenon_H32 zenon_H30 zenon_He3. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.63/0.84 apply (zenon_L57_); trivial. % 0.63/0.84 apply (zenon_L65_); trivial. % 0.63/0.84 (* end of lemma zenon_L66_ *) % 0.63/0.84 assert (zenon_L67_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(c1_1 (a308))) -> (~(c2_1 (a308))) -> (c0_1 (a308)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hd1 zenon_Hd5. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.63/0.84 apply (zenon_L55_); trivial. % 0.63/0.84 apply (zenon_L66_); trivial. % 0.63/0.84 (* end of lemma zenon_L67_ *) % 0.63/0.84 assert (zenon_L68_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(c1_1 (a308))) -> (~(c2_1 (a308))) -> (c0_1 (a308)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H11d zenon_H11a zenon_H116 zenon_H111 zenon_H109 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hd1 zenon_Hd5 zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.84 apply (zenon_L52_); trivial. % 0.63/0.84 apply (zenon_L67_); trivial. % 0.63/0.84 (* end of lemma zenon_L68_ *) % 0.63/0.84 assert (zenon_L69_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (~(c2_1 (a306))) -> (c1_1 (a306)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H64 zenon_H12 zenon_H11e zenon_H11f zenon_H120. % 0.63/0.84 generalize (zenon_H64 (a306)). zenon_intro zenon_H121. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_H11 | zenon_intro zenon_H122 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.63/0.84 exact (zenon_H11e zenon_H124). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.63/0.84 exact (zenon_H11f zenon_H126). % 0.63/0.84 exact (zenon_H125 zenon_H120). % 0.63/0.84 (* end of lemma zenon_L69_ *) % 0.63/0.84 assert (zenon_L70_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H6e zenon_H12 zenon_H11e zenon_H64 zenon_H120 zenon_H127. % 0.63/0.84 generalize (zenon_H6e (a306)). zenon_intro zenon_H128. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H128); [ zenon_intro zenon_H11 | zenon_intro zenon_H129 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H124 | zenon_intro zenon_H12a ]. % 0.63/0.84 exact (zenon_H11e zenon_H124). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11f | zenon_intro zenon_H12b ]. % 0.63/0.84 apply (zenon_L69_); trivial. % 0.63/0.84 exact (zenon_H12b zenon_H127). % 0.63/0.84 (* end of lemma zenon_L70_ *) % 0.63/0.84 assert (zenon_L71_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H11e zenon_H64 zenon_H120 zenon_H127. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.63/0.84 apply (zenon_L45_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.63/0.84 apply (zenon_L47_); trivial. % 0.63/0.84 apply (zenon_L70_); trivial. % 0.63/0.84 (* end of lemma zenon_L71_ *) % 0.63/0.84 assert (zenon_L72_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H11e zenon_H120 zenon_H127 zenon_Hc6 zenon_Hc5. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.63/0.84 apply (zenon_L22_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.84 apply (zenon_L44_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.84 apply (zenon_L48_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.63/0.84 apply (zenon_L71_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.63/0.84 apply (zenon_L31_); trivial. % 0.63/0.84 apply (zenon_L33_); trivial. % 0.63/0.84 exact (zenon_H80 zenon_H81). % 0.63/0.84 apply (zenon_L40_); trivial. % 0.63/0.84 apply (zenon_L43_); trivial. % 0.63/0.84 apply (zenon_L51_); trivial. % 0.63/0.84 (* end of lemma zenon_L72_ *) % 0.63/0.84 assert (zenon_L73_ : (~(hskp15)) -> (hskp15) -> False). % 0.63/0.84 do 0 intro. intros zenon_H12c zenon_H12d. % 0.63/0.84 exact (zenon_H12c zenon_H12d). % 0.63/0.84 (* end of lemma zenon_L73_ *) % 0.63/0.84 assert (zenon_L74_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(hskp15)) -> (~(hskp8)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H119 zenon_H12e zenon_H12c zenon_H1. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hba | zenon_intro zenon_H12f ]. % 0.63/0.84 apply (zenon_L59_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H12d | zenon_intro zenon_H2 ]. % 0.63/0.84 exact (zenon_H12c zenon_H12d). % 0.63/0.84 exact (zenon_H1 zenon_H2). % 0.63/0.84 (* end of lemma zenon_L74_ *) % 0.63/0.84 assert (zenon_L75_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c1_1 (a368)) -> (~(c2_1 (a368))) -> (~(c0_1 (a368))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (~(hskp29)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H82 zenon_H67 zenon_H66 zenon_H65 zenon_H33 zenon_H32 zenon_H30 zenon_H12 zenon_H2f zenon_H80. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.84 apply (zenon_L30_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.84 apply (zenon_L15_); trivial. % 0.63/0.84 exact (zenon_H80 zenon_H81). % 0.63/0.84 (* end of lemma zenon_L75_ *) % 0.63/0.84 assert (zenon_L76_ : (forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64)))))) -> (ndr1_0) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c1_1 (a311)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H130 zenon_H12 zenon_H131 zenon_H132 zenon_H133. % 0.63/0.84 generalize (zenon_H130 (a311)). zenon_intro zenon_H134. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_H11 | zenon_intro zenon_H135 ]. % 0.63/0.84 exact (zenon_H11 zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ]. % 0.63/0.84 exact (zenon_H131 zenon_H137). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.63/0.84 exact (zenon_H139 zenon_H132). % 0.63/0.84 exact (zenon_H138 zenon_H133). % 0.63/0.84 (* end of lemma zenon_L76_ *) % 0.63/0.84 assert (zenon_L77_ : (~(hskp7)) -> (hskp7) -> False). % 0.63/0.84 do 0 intro. intros zenon_H13a zenon_H13b. % 0.63/0.84 exact (zenon_H13a zenon_H13b). % 0.63/0.84 (* end of lemma zenon_L77_ *) % 0.63/0.84 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp26)) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(hskp7)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H99 zenon_H13c zenon_H5c zenon_H27 zenon_H5f zenon_H133 zenon_H132 zenon_H131 zenon_H13a. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H86 | zenon_intro zenon_H13d ]. % 0.63/0.84 apply (zenon_L37_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H13b ]. % 0.63/0.84 apply (zenon_L76_); trivial. % 0.63/0.84 exact (zenon_H13a zenon_H13b). % 0.63/0.84 (* end of lemma zenon_L78_ *) % 0.63/0.84 assert (zenon_L79_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(hskp26)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (~(hskp3)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H9e zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H5c zenon_H5f zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H27 zenon_H45. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.63/0.84 apply (zenon_L75_); trivial. % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 apply (zenon_L78_); trivial. % 0.63/0.84 (* end of lemma zenon_L79_ *) % 0.63/0.84 assert (zenon_L80_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c1_1 (a311)) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hae zenon_H63 zenon_H5f zenon_H27 zenon_H4c zenon_H4e zenon_H45 zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_H131 zenon_H132 zenon_H133 zenon_H13a zenon_H13c zenon_H9f zenon_Haf. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.63/0.84 apply (zenon_L29_); trivial. % 0.63/0.84 apply (zenon_L79_); trivial. % 0.63/0.84 apply (zenon_L43_); trivial. % 0.63/0.84 (* end of lemma zenon_L80_ *) % 0.63/0.84 assert (zenon_L81_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (ndr1_0) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(hskp29)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H45 zenon_H27 zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H30 zenon_H32 zenon_H33 zenon_H80 zenon_H82. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.84 apply (zenon_L71_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.84 apply (zenon_L15_); trivial. % 0.63/0.84 exact (zenon_H80 zenon_H81). % 0.63/0.84 exact (zenon_H27 zenon_H28). % 0.63/0.84 (* end of lemma zenon_L81_ *) % 0.63/0.84 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H13e zenon_H11d zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H127 zenon_H120 zenon_H11e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.84 apply (zenon_L72_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.84 apply (zenon_L80_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.84 apply (zenon_L81_); trivial. % 0.63/0.84 apply (zenon_L78_); trivial. % 0.63/0.84 apply (zenon_L43_); trivial. % 0.63/0.84 (* end of lemma zenon_L82_ *) % 0.63/0.84 assert (zenon_L83_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H141 zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H11e zenon_H120 zenon_H127 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.84 apply (zenon_L72_); trivial. % 0.63/0.84 apply (zenon_L74_); trivial. % 0.63/0.84 apply (zenon_L82_); trivial. % 0.63/0.84 (* end of lemma zenon_L83_ *) % 0.63/0.84 assert (zenon_L84_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(hskp3)) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H119 zenon_H45 zenon_H27 zenon_H3f zenon_H41 zenon_H43. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.84 apply (zenon_L19_); trivial. % 0.63/0.84 (* end of lemma zenon_L84_ *) % 0.63/0.85 assert (zenon_L85_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H11d zenon_H3f zenon_H41 zenon_H43 zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L52_); trivial. % 0.63/0.85 apply (zenon_L84_); trivial. % 0.63/0.85 (* end of lemma zenon_L85_ *) % 0.63/0.85 assert (zenon_L86_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H10b zenon_H12 zenon_H11e zenon_H120 zenon_H127. % 0.63/0.85 generalize (zenon_H10b (a306)). zenon_intro zenon_H142. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H11 | zenon_intro zenon_H143 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H124 | zenon_intro zenon_H144 ]. % 0.63/0.85 exact (zenon_H11e zenon_H124). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H125 | zenon_intro zenon_H12b ]. % 0.63/0.85 exact (zenon_H125 zenon_H120). % 0.63/0.85 exact (zenon_H12b zenon_H127). % 0.63/0.85 (* end of lemma zenon_L86_ *) % 0.63/0.85 assert (zenon_L87_ : (~(hskp2)) -> (hskp2) -> False). % 0.63/0.85 do 0 intro. intros zenon_H145 zenon_H146. % 0.63/0.85 exact (zenon_H145 zenon_H146). % 0.63/0.85 (* end of lemma zenon_L87_ *) % 0.63/0.85 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((hskp3)\/(hskp2))) -> (~(hskp3)) -> (~(hskp2)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H147 zenon_H148 zenon_H27 zenon_H145. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H10b | zenon_intro zenon_H14b ]. % 0.63/0.85 apply (zenon_L86_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H28 | zenon_intro zenon_H146 ]. % 0.63/0.85 exact (zenon_H27 zenon_H28). % 0.63/0.85 exact (zenon_H145 zenon_H146). % 0.63/0.85 (* end of lemma zenon_L88_ *) % 0.63/0.85 assert (zenon_L89_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((hskp3)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H14c zenon_H148 zenon_H145 zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_H43 zenon_H3f zenon_H11d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.85 apply (zenon_L85_); trivial. % 0.63/0.85 apply (zenon_L88_); trivial. % 0.63/0.85 (* end of lemma zenon_L89_ *) % 0.63/0.85 assert (zenon_L90_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H31 zenon_H12 zenon_H14d zenon_H14e zenon_H14f. % 0.63/0.85 generalize (zenon_H31 (a297)). zenon_intro zenon_H150. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H11 | zenon_intro zenon_H151 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.63/0.85 exact (zenon_H14d zenon_H153). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 0.63/0.85 exact (zenon_H155 zenon_H14e). % 0.63/0.85 exact (zenon_H154 zenon_H14f). % 0.63/0.85 (* end of lemma zenon_L90_ *) % 0.63/0.85 assert (zenon_L91_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp11)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H43 zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H3f zenon_H41. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H31 | zenon_intro zenon_H44 ]. % 0.63/0.85 apply (zenon_L90_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.63/0.85 exact (zenon_H3f zenon_H40). % 0.63/0.85 exact (zenon_H41 zenon_H42). % 0.63/0.85 (* end of lemma zenon_L91_ *) % 0.63/0.85 assert (zenon_L92_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((hskp3)\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H14c zenon_H148 zenon_H145 zenon_H27 zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.85 apply (zenon_L91_); trivial. % 0.63/0.85 apply (zenon_L88_); trivial. % 0.63/0.85 (* end of lemma zenon_L92_ *) % 0.63/0.85 assert (zenon_L93_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H11d zenon_H12e zenon_H1 zenon_H12c zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L52_); trivial. % 0.63/0.85 apply (zenon_L74_); trivial. % 0.63/0.85 (* end of lemma zenon_L93_ *) % 0.63/0.85 assert (zenon_L94_ : (~(hskp12)) -> (hskp12) -> False). % 0.63/0.85 do 0 intro. intros zenon_H156 zenon_H157. % 0.63/0.85 exact (zenon_H156 zenon_H157). % 0.63/0.85 (* end of lemma zenon_L94_ *) % 0.63/0.85 assert (zenon_L95_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp12)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hca zenon_H158 zenon_H41 zenon_H156. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H159 ]. % 0.63/0.85 apply (zenon_L45_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H42 | zenon_intro zenon_H157 ]. % 0.63/0.85 exact (zenon_H41 zenon_H42). % 0.63/0.85 exact (zenon_H156 zenon_H157). % 0.63/0.85 (* end of lemma zenon_L95_ *) % 0.63/0.85 assert (zenon_L96_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (~(hskp5)) -> (~(hskp18)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_Hb zenon_H9 zenon_H5 zenon_H48 zenon_H2e. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.63/0.85 apply (zenon_L22_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.85 apply (zenon_L44_); trivial. % 0.63/0.85 apply (zenon_L95_); trivial. % 0.63/0.85 (* end of lemma zenon_L96_ *) % 0.63/0.85 assert (zenon_L97_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_H41 zenon_H156 zenon_H158 zenon_Hc6 zenon_Hc5. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.63/0.85 apply (zenon_L96_); trivial. % 0.63/0.85 apply (zenon_L51_); trivial. % 0.63/0.85 (* end of lemma zenon_L97_ *) % 0.63/0.85 assert (zenon_L98_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H82 zenon_H45 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_Hae. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.85 apply (zenon_L80_); trivial. % 0.63/0.85 apply (zenon_L95_); trivial. % 0.63/0.85 (* end of lemma zenon_L98_ *) % 0.63/0.85 assert (zenon_L99_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H11d zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L97_); trivial. % 0.63/0.85 apply (zenon_L98_); trivial. % 0.63/0.85 (* end of lemma zenon_L99_ *) % 0.63/0.85 assert (zenon_L100_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H141 zenon_H13c zenon_H13a zenon_H158 zenon_H156 zenon_H41 zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.85 apply (zenon_L93_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.85 apply (zenon_L99_); trivial. % 0.63/0.85 (* end of lemma zenon_L100_ *) % 0.63/0.85 assert (zenon_L101_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp8)) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hd0 zenon_H2e zenon_H2a zenon_H27 zenon_H9 zenon_Hb zenon_Hf zenon_H1 zenon_H3 zenon_H7. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.63/0.85 apply (zenon_L4_); trivial. % 0.63/0.85 apply (zenon_L51_); trivial. % 0.63/0.85 (* end of lemma zenon_L101_ *) % 0.63/0.85 assert (zenon_L102_ : ((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(hskp13)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hcd zenon_H15a zenon_H32 zenon_H33 zenon_H30 zenon_H3. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H20. zenon_intro zenon_Hcf. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_Hba | zenon_intro zenon_H15b ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1d | zenon_intro zenon_H4 ]. % 0.63/0.85 apply (zenon_L11_); trivial. % 0.63/0.85 exact (zenon_H3 zenon_H4). % 0.63/0.85 (* end of lemma zenon_L102_ *) % 0.63/0.85 assert (zenon_L103_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H119 zenon_Hd0 zenon_H15a zenon_H1 zenon_H3 zenon_H7. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.63/0.85 apply (zenon_L4_); trivial. % 0.63/0.85 apply (zenon_L102_); trivial. % 0.63/0.85 (* end of lemma zenon_L103_ *) % 0.63/0.85 assert (zenon_L104_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H11d zenon_H15a zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_H9 zenon_H27 zenon_H2a zenon_H2e zenon_Hd0. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L101_); trivial. % 0.63/0.85 apply (zenon_L103_); trivial. % 0.63/0.85 (* end of lemma zenon_L104_ *) % 0.63/0.85 assert (zenon_L105_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H15c zenon_H12 zenon_H15d zenon_H15e zenon_H15f. % 0.63/0.85 generalize (zenon_H15c (a307)). zenon_intro zenon_H160. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.63/0.85 exact (zenon_H15d zenon_H163). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.63/0.85 exact (zenon_H15e zenon_H165). % 0.63/0.85 exact (zenon_H164 zenon_H15f). % 0.63/0.85 (* end of lemma zenon_L105_ *) % 0.63/0.85 assert (zenon_L106_ : (~(hskp23)) -> (hskp23) -> False). % 0.63/0.85 do 0 intro. intros zenon_H166 zenon_H167. % 0.63/0.85 exact (zenon_H166 zenon_H167). % 0.63/0.85 (* end of lemma zenon_L106_ *) % 0.63/0.85 assert (zenon_L107_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (c2_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp23)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H168 zenon_H15f zenon_H15e zenon_H15d zenon_H12 zenon_H1 zenon_H166. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15c | zenon_intro zenon_H169 ]. % 0.63/0.85 apply (zenon_L105_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H2 | zenon_intro zenon_H167 ]. % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 exact (zenon_H166 zenon_H167). % 0.63/0.85 (* end of lemma zenon_L107_ *) % 0.63/0.85 assert (zenon_L108_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a337))) -> (c1_1 (a337)) -> (c3_1 (a337)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H16a zenon_H12 zenon_H16b zenon_H16c zenon_H16d. % 0.63/0.85 generalize (zenon_H16a (a337)). zenon_intro zenon_H16e. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H16e); [ zenon_intro zenon_H11 | zenon_intro zenon_H16f ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H171 | zenon_intro zenon_H170 ]. % 0.63/0.85 exact (zenon_H16b zenon_H171). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 0.63/0.85 exact (zenon_H173 zenon_H16c). % 0.63/0.85 exact (zenon_H172 zenon_H16d). % 0.63/0.85 (* end of lemma zenon_L108_ *) % 0.63/0.85 assert (zenon_L109_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(c3_1 (a323))) -> (~(c2_1 (a323))) -> (~(c0_1 (a323))) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H174 zenon_H175 zenon_He8 zenon_He7 zenon_He6 zenon_H1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_He5 | zenon_intro zenon_H178 ]. % 0.63/0.85 apply (zenon_L58_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H16a | zenon_intro zenon_H2 ]. % 0.63/0.85 apply (zenon_L108_); trivial. % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 (* end of lemma zenon_L109_ *) % 0.63/0.85 assert (zenon_L110_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H115 zenon_H179 zenon_H175 zenon_H15d zenon_H15e zenon_H15f zenon_H1 zenon_H168. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.85 apply (zenon_L107_); trivial. % 0.63/0.85 apply (zenon_L109_); trivial. % 0.63/0.85 (* end of lemma zenon_L110_ *) % 0.63/0.85 assert (zenon_L111_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17a zenon_H11a zenon_H179 zenon_H175 zenon_H15d zenon_H15e zenon_H15f zenon_H1 zenon_H168 zenon_Hd1 zenon_Hd5. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.63/0.85 apply (zenon_L55_); trivial. % 0.63/0.85 apply (zenon_L110_); trivial. % 0.63/0.85 (* end of lemma zenon_L111_ *) % 0.63/0.85 assert (zenon_L112_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp8)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17d zenon_H11a zenon_H179 zenon_H175 zenon_H15d zenon_H15e zenon_H15f zenon_H168 zenon_Hd1 zenon_Hd5 zenon_Hd0 zenon_H2e zenon_H2a zenon_H27 zenon_H9 zenon_Hf zenon_H1 zenon_H7 zenon_H15a zenon_H11d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.63/0.85 apply (zenon_L104_); trivial. % 0.63/0.85 apply (zenon_L111_); trivial. % 0.63/0.85 (* end of lemma zenon_L112_ *) % 0.63/0.85 assert (zenon_L113_ : ((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp8)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17e zenon_H17d zenon_H11a zenon_H179 zenon_H175 zenon_H168 zenon_Hd1 zenon_Hd5 zenon_Hd0 zenon_H2e zenon_H2a zenon_H27 zenon_H9 zenon_Hf zenon_H1 zenon_H7 zenon_H15a zenon_H11d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.63/0.85 apply (zenon_L112_); trivial. % 0.63/0.85 (* end of lemma zenon_L113_ *) % 0.63/0.85 assert (zenon_L114_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H147 zenon_H141 zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.63/0.85 apply (zenon_L83_); trivial. % 0.63/0.85 (* end of lemma zenon_L114_ *) % 0.63/0.85 assert (zenon_L115_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H14c zenon_H141 zenon_H13c zenon_H13a zenon_H158 zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d zenon_H15a zenon_H7 zenon_Hd5 zenon_Hd1 zenon_H168 zenon_H175 zenon_H179 zenon_H11a zenon_H17d zenon_H181. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.63/0.85 apply (zenon_L100_); trivial. % 0.63/0.85 apply (zenon_L113_); trivial. % 0.63/0.85 apply (zenon_L114_); trivial. % 0.63/0.85 (* end of lemma zenon_L115_ *) % 0.63/0.85 assert (zenon_L116_ : (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H93 zenon_H12 zenon_H182 zenon_H183 zenon_H184. % 0.63/0.85 generalize (zenon_H93 (a300)). zenon_intro zenon_H185. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_H11 | zenon_intro zenon_H186 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ]. % 0.63/0.85 exact (zenon_H182 zenon_H188). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 0.63/0.85 exact (zenon_H18a zenon_H183). % 0.63/0.85 exact (zenon_H189 zenon_H184). % 0.63/0.85 (* end of lemma zenon_L116_ *) % 0.63/0.85 assert (zenon_L117_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (c0_1 (a301)) -> (c2_1 (a301)) -> (c3_1 (a301)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hfb zenon_H12 zenon_H88 zenon_H89 zenon_H94. % 0.63/0.85 generalize (zenon_Hfb (a301)). zenon_intro zenon_H18b. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H18b); [ zenon_intro zenon_H11 | zenon_intro zenon_H18c ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H8f | zenon_intro zenon_H18d ]. % 0.63/0.85 exact (zenon_H8f zenon_H88). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H8e | zenon_intro zenon_H98 ]. % 0.63/0.85 exact (zenon_H8e zenon_H89). % 0.63/0.85 exact (zenon_H98 zenon_H94). % 0.63/0.85 (* end of lemma zenon_L117_ *) % 0.63/0.85 assert (zenon_L118_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(hskp5)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H99 zenon_Hfe zenon_H32 zenon_H33 zenon_H30 zenon_H9. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hba | zenon_intro zenon_Hff ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfb | zenon_intro zenon_Ha ]. % 0.63/0.85 apply (zenon_L117_); trivial. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 (* end of lemma zenon_L118_ *) % 0.63/0.85 assert (zenon_L119_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H119 zenon_H9f zenon_Hfe zenon_H9 zenon_H182 zenon_H183 zenon_H184 zenon_H12c zenon_H18e. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H93 | zenon_intro zenon_H18f ]. % 0.63/0.85 apply (zenon_L116_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H12d | zenon_intro zenon_H81 ]. % 0.63/0.85 exact (zenon_H12c zenon_H12d). % 0.63/0.85 exact (zenon_H80 zenon_H81). % 0.63/0.85 apply (zenon_L118_); trivial. % 0.63/0.85 (* end of lemma zenon_L119_ *) % 0.63/0.85 assert (zenon_L120_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H190 zenon_H12 zenon_H191 zenon_H192 zenon_H193. % 0.63/0.85 generalize (zenon_H190 (a295)). zenon_intro zenon_H194. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_H11 | zenon_intro zenon_H195 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 0.63/0.85 exact (zenon_H191 zenon_H197). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.63/0.85 exact (zenon_H192 zenon_H199). % 0.63/0.85 exact (zenon_H198 zenon_H193). % 0.63/0.85 (* end of lemma zenon_L120_ *) % 0.63/0.85 assert (zenon_L121_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H19a zenon_H12 zenon_H78 zenon_H182 zenon_H184 zenon_H183. % 0.63/0.85 generalize (zenon_H19a (a300)). zenon_intro zenon_H19b. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H19b); [ zenon_intro zenon_H11 | zenon_intro zenon_H19c ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19d | zenon_intro zenon_H187 ]. % 0.63/0.85 generalize (zenon_H78 (a300)). zenon_intro zenon_H19e. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H11 | zenon_intro zenon_H19f ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H188 | zenon_intro zenon_H1a0 ]. % 0.63/0.85 exact (zenon_H182 zenon_H188). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H189 ]. % 0.63/0.85 exact (zenon_H1a1 zenon_H19d). % 0.63/0.85 exact (zenon_H189 zenon_H184). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 0.63/0.85 exact (zenon_H18a zenon_H183). % 0.63/0.85 exact (zenon_H189 zenon_H184). % 0.63/0.85 (* end of lemma zenon_L121_ *) % 0.63/0.85 assert (zenon_L122_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H193 zenon_H192 zenon_H191 zenon_H12 zenon_H78 zenon_H182 zenon_H184 zenon_H183. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.85 apply (zenon_L120_); trivial. % 0.63/0.85 apply (zenon_L121_); trivial. % 0.63/0.85 (* end of lemma zenon_L122_ *) % 0.63/0.85 assert (zenon_L123_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hca zenon_H1a4 zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H193 zenon_H192 zenon_H191 zenon_H182 zenon_H184 zenon_H183. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1a5 ]. % 0.63/0.85 apply (zenon_L45_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H93 | zenon_intro zenon_H78 ]. % 0.63/0.85 apply (zenon_L116_); trivial. % 0.63/0.85 apply (zenon_L122_); trivial. % 0.63/0.85 (* end of lemma zenon_L123_ *) % 0.63/0.85 assert (zenon_L124_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H184 zenon_H183 zenon_H182 zenon_Haf zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H82 zenon_H45 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_Hae. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.85 apply (zenon_L80_); trivial. % 0.63/0.85 apply (zenon_L123_); trivial. % 0.63/0.85 (* end of lemma zenon_L124_ *) % 0.63/0.85 assert (zenon_L125_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H19a zenon_H12 zenon_H1a6 zenon_H1a7 zenon_H1a8. % 0.63/0.85 generalize (zenon_H19a (a299)). zenon_intro zenon_H1a9. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1aa ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.63/0.85 exact (zenon_H1a6 zenon_H1ac). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.63/0.85 exact (zenon_H1ae zenon_H1a7). % 0.63/0.85 exact (zenon_H1ad zenon_H1a8). % 0.63/0.85 (* end of lemma zenon_L125_ *) % 0.63/0.85 assert (zenon_L126_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H119 zenon_H1a2 zenon_H193 zenon_H192 zenon_H191 zenon_H1a6 zenon_H1a7 zenon_H1a8. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.85 apply (zenon_L120_); trivial. % 0.63/0.85 apply (zenon_L125_); trivial. % 0.63/0.85 (* end of lemma zenon_L126_ *) % 0.63/0.85 assert (zenon_L127_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L97_); trivial. % 0.63/0.85 apply (zenon_L126_); trivial. % 0.63/0.85 (* end of lemma zenon_L127_ *) % 0.63/0.85 assert (zenon_L128_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp13)) -> (~(hskp8)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_H7 zenon_H3 zenon_H1 zenon_Hf zenon_H9 zenon_H27 zenon_H2a zenon_H2e zenon_Hd0. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L101_); trivial. % 0.63/0.85 apply (zenon_L126_); trivial. % 0.63/0.85 (* end of lemma zenon_L128_ *) % 0.63/0.85 assert (zenon_L129_ : ((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp8)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17e zenon_H17d zenon_H11a zenon_H179 zenon_H175 zenon_H168 zenon_Hd1 zenon_Hd5 zenon_Hd0 zenon_H2e zenon_H2a zenon_H27 zenon_H9 zenon_Hf zenon_H1 zenon_H7 zenon_H191 zenon_H192 zenon_H193 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H11d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.63/0.85 apply (zenon_L128_); trivial. % 0.63/0.85 apply (zenon_L111_); trivial. % 0.63/0.85 (* end of lemma zenon_L129_ *) % 0.63/0.85 assert (zenon_L130_ : (forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> (~(c1_1 (a307))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H86 zenon_H12 zenon_H15d zenon_Hba zenon_H15e zenon_H15f. % 0.63/0.85 generalize (zenon_H86 (a307)). zenon_intro zenon_H1af. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b0 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H163 | zenon_intro zenon_H1b1 ]. % 0.63/0.85 exact (zenon_H15d zenon_H163). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H164 ]. % 0.63/0.85 generalize (zenon_Hba (a307)). zenon_intro zenon_H1b3. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b4 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H162 ]. % 0.63/0.85 exact (zenon_H1b2 zenon_H1b5). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.63/0.85 exact (zenon_H15e zenon_H165). % 0.63/0.85 exact (zenon_H164 zenon_H15f). % 0.63/0.85 exact (zenon_H164 zenon_H15f). % 0.63/0.85 (* end of lemma zenon_L130_ *) % 0.63/0.85 assert (zenon_L131_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a307)) -> (~(c3_1 (a307))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c1_1 (a307))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H9a zenon_H15f zenon_H15e zenon_Hba zenon_H15d zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_Hb. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H86 | zenon_intro zenon_H9d ]. % 0.63/0.85 apply (zenon_L130_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc ]. % 0.63/0.85 apply (zenon_L116_); trivial. % 0.63/0.85 exact (zenon_Hb zenon_Hc). % 0.63/0.85 (* end of lemma zenon_L131_ *) % 0.63/0.85 assert (zenon_L132_ : ((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17e zenon_H11d zenon_H9a zenon_H184 zenon_H183 zenon_H182 zenon_H191 zenon_H192 zenon_H193 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.85 apply (zenon_L131_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.85 apply (zenon_L120_); trivial. % 0.63/0.85 apply (zenon_L125_); trivial. % 0.63/0.85 apply (zenon_L126_); trivial. % 0.63/0.85 (* end of lemma zenon_L132_ *) % 0.63/0.85 assert (zenon_L133_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H147 zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.85 apply (zenon_L72_); trivial. % 0.63/0.85 apply (zenon_L126_); trivial. % 0.63/0.85 (* end of lemma zenon_L133_ *) % 0.63/0.85 assert (zenon_L134_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c1_1 (a368)) -> (~(c2_1 (a368))) -> (~(c0_1 (a368))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H82 zenon_H67 zenon_H66 zenon_H65 zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H80. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.85 apply (zenon_L30_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.85 apply (zenon_L90_); trivial. % 0.63/0.85 exact (zenon_H80 zenon_H81). % 0.63/0.85 (* end of lemma zenon_L134_ *) % 0.63/0.85 assert (zenon_L135_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp3)) -> (~(hskp26)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H9e zenon_H9f zenon_H9a zenon_Hb zenon_H27 zenon_H5c zenon_H5f zenon_H14d zenon_H14e zenon_H14f zenon_H82. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.85 apply (zenon_L134_); trivial. % 0.63/0.85 apply (zenon_L40_); trivial. % 0.63/0.85 (* end of lemma zenon_L135_ *) % 0.63/0.85 assert (zenon_L136_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4c zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_Hb zenon_H9a zenon_H9f zenon_Haf. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.63/0.85 apply (zenon_L29_); trivial. % 0.63/0.85 apply (zenon_L135_); trivial. % 0.63/0.85 apply (zenon_L43_); trivial. % 0.63/0.85 (* end of lemma zenon_L136_ *) % 0.63/0.85 assert (zenon_L137_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_Hb zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.85 apply (zenon_L136_); trivial. % 0.63/0.85 apply (zenon_L95_); trivial. % 0.63/0.85 (* end of lemma zenon_L137_ *) % 0.63/0.85 assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(hskp3)) -> (~(hskp26)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H9e zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H27 zenon_H5c zenon_H5f zenon_H14d zenon_H14e zenon_H14f zenon_H82. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.85 apply (zenon_L134_); trivial. % 0.63/0.85 apply (zenon_L78_); trivial. % 0.63/0.85 (* end of lemma zenon_L138_ *) % 0.63/0.85 assert (zenon_L139_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c1_1 (a311)) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4c zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H131 zenon_H132 zenon_H133 zenon_H13a zenon_H13c zenon_H9f zenon_Haf. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.63/0.85 apply (zenon_L29_); trivial. % 0.63/0.85 apply (zenon_L138_); trivial. % 0.63/0.85 apply (zenon_L43_); trivial. % 0.63/0.85 (* end of lemma zenon_L139_ *) % 0.63/0.85 assert (zenon_L140_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c0_1 (a341))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a341))) -> False). % 0.63/0.85 do 0 intro. intros zenon_He5 zenon_H12 zenon_Hb1 zenon_Hba zenon_Hb2. % 0.63/0.85 generalize (zenon_He5 (a341)). zenon_intro zenon_H1b6. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1b6); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b7 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H1b8 ]. % 0.63/0.85 exact (zenon_Hb1 zenon_Hb7). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hb9 ]. % 0.63/0.85 apply (zenon_L46_); trivial. % 0.63/0.85 exact (zenon_Hb2 zenon_Hb9). % 0.63/0.85 (* end of lemma zenon_L140_ *) % 0.63/0.85 assert (zenon_L141_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (~(hskp15)) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H12e zenon_Hb2 zenon_Hb1 zenon_H12 zenon_He5 zenon_H12c zenon_H1. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hba | zenon_intro zenon_H12f ]. % 0.63/0.85 apply (zenon_L140_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H12d | zenon_intro zenon_H2 ]. % 0.63/0.85 exact (zenon_H12c zenon_H12d). % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 (* end of lemma zenon_L141_ *) % 0.63/0.85 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp15)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hca zenon_H175 zenon_H12c zenon_H12e zenon_H16d zenon_H16c zenon_H16b zenon_H1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_He5 | zenon_intro zenon_H178 ]. % 0.63/0.85 apply (zenon_L141_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H16a | zenon_intro zenon_H2 ]. % 0.63/0.85 apply (zenon_L108_); trivial. % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 (* end of lemma zenon_L142_ *) % 0.63/0.85 assert (zenon_L143_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a337))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36)))))) -> (c1_1 (a337)) -> (c3_1 (a337)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H19a zenon_H12 zenon_H16b zenon_H10b zenon_H16c zenon_H16d. % 0.63/0.85 generalize (zenon_H19a (a337)). zenon_intro zenon_H1b9. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1b9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ba ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H171 | zenon_intro zenon_H1bb ]. % 0.63/0.85 exact (zenon_H16b zenon_H171). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H172 ]. % 0.63/0.85 generalize (zenon_H10b (a337)). zenon_intro zenon_H1bd. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_H11 | zenon_intro zenon_H1be ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1bf | zenon_intro zenon_H170 ]. % 0.63/0.85 exact (zenon_H1bc zenon_H1bf). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 0.63/0.85 exact (zenon_H173 zenon_H16c). % 0.63/0.85 exact (zenon_H172 zenon_H16d). % 0.63/0.85 exact (zenon_H172 zenon_H16d). % 0.63/0.85 (* end of lemma zenon_L143_ *) % 0.63/0.85 assert (zenon_L144_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))) -> (~(hskp7)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1c0 zenon_H14f zenon_H14e zenon_H14d zenon_H16d zenon_H16c zenon_H16b zenon_H12 zenon_H19a zenon_H13a. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H1c1 ]. % 0.63/0.85 apply (zenon_L90_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10b | zenon_intro zenon_H13b ]. % 0.63/0.85 apply (zenon_L143_); trivial. % 0.63/0.85 exact (zenon_H13a zenon_H13b). % 0.63/0.85 (* end of lemma zenon_L144_ *) % 0.63/0.85 assert (zenon_L145_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1a2 zenon_Hb2 zenon_Hb1 zenon_He5 zenon_H193 zenon_H192 zenon_H191 zenon_H1c0 zenon_H14f zenon_H14e zenon_H14d zenon_H16d zenon_H16c zenon_H16b zenon_H12 zenon_H13a. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.85 apply (zenon_L140_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.85 apply (zenon_L120_); trivial. % 0.63/0.85 apply (zenon_L144_); trivial. % 0.63/0.85 (* end of lemma zenon_L145_ *) % 0.63/0.85 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp7)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hca zenon_H175 zenon_H13a zenon_H14d zenon_H14e zenon_H14f zenon_H1c0 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H16d zenon_H16c zenon_H16b zenon_H1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_He5 | zenon_intro zenon_H178 ]. % 0.63/0.85 apply (zenon_L145_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H16a | zenon_intro zenon_H2 ]. % 0.63/0.85 apply (zenon_L108_); trivial. % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 (* end of lemma zenon_L146_ *) % 0.63/0.85 assert (zenon_L147_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (~(hskp7)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H147 zenon_H1c0 zenon_H14f zenon_H14e zenon_H14d zenon_H13a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H1c1 ]. % 0.63/0.85 apply (zenon_L90_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10b | zenon_intro zenon_H13b ]. % 0.63/0.85 apply (zenon_L86_); trivial. % 0.63/0.85 exact (zenon_H13a zenon_H13b). % 0.63/0.85 (* end of lemma zenon_L147_ *) % 0.63/0.85 assert (zenon_L148_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V)))))) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64)))))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1d zenon_H12 zenon_H130 zenon_H192 zenon_H193. % 0.63/0.85 generalize (zenon_H1d (a295)). zenon_intro zenon_H1c2. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1c2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c3 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H196 ]. % 0.63/0.85 generalize (zenon_H130 (a295)). zenon_intro zenon_H1c5. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1c5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c6 ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H199 | zenon_intro zenon_H1c7 ]. % 0.63/0.85 exact (zenon_H192 zenon_H199). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H198 | zenon_intro zenon_H1c8 ]. % 0.63/0.85 exact (zenon_H198 zenon_H193). % 0.63/0.85 exact (zenon_H1c8 zenon_H1c4). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.63/0.85 exact (zenon_H192 zenon_H199). % 0.63/0.85 exact (zenon_H198 zenon_H193). % 0.63/0.85 (* end of lemma zenon_L148_ *) % 0.63/0.85 assert (zenon_L149_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (~(hskp28)) -> (~(hskp15)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp26)) -> (~(hskp3)) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (ndr1_0) -> (~(c0_1 (a368))) -> (~(c2_1 (a368))) -> (c1_1 (a368)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H9f zenon_H1c9 zenon_He1 zenon_H12c zenon_H5f zenon_H5c zenon_H27 zenon_H192 zenon_H193 zenon_H13a zenon_H13c zenon_H12 zenon_H65 zenon_H66 zenon_H67 zenon_H14d zenon_H14e zenon_H14f zenon_H82. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.85 apply (zenon_L134_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H1ca ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H86 | zenon_intro zenon_H13d ]. % 0.63/0.85 apply (zenon_L37_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H13b ]. % 0.63/0.85 apply (zenon_L148_); trivial. % 0.63/0.85 exact (zenon_H13a zenon_H13b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H12d | zenon_intro zenon_He2 ]. % 0.63/0.85 exact (zenon_H12c zenon_H12d). % 0.63/0.85 exact (zenon_He1 zenon_He2). % 0.63/0.85 (* end of lemma zenon_L149_ *) % 0.63/0.85 assert (zenon_L150_ : (forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a296)) -> (c3_1 (a296)) -> (c1_1 (a296)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H52 zenon_H12 zenon_H6e zenon_Hf3 zenon_Hf4 zenon_H108. % 0.63/0.85 generalize (zenon_H52 (a296)). zenon_intro zenon_H1cb. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cc ]. % 0.63/0.85 exact (zenon_H11 zenon_H12). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H1cd ]. % 0.63/0.85 apply (zenon_L60_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H10f | zenon_intro zenon_Hfa ]. % 0.63/0.85 exact (zenon_H10f zenon_H108). % 0.63/0.85 exact (zenon_Hfa zenon_Hf3). % 0.63/0.85 (* end of lemma zenon_L150_ *) % 0.63/0.85 assert (zenon_L151_ : ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> (c1_1 (a296)) -> (c3_1 (a296)) -> (c2_1 (a296)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1ce zenon_H166 zenon_H108 zenon_Hf4 zenon_Hf3 zenon_H6e zenon_H12. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H52 | zenon_intro zenon_H167 ]. % 0.63/0.85 apply (zenon_L150_); trivial. % 0.63/0.85 exact (zenon_H166 zenon_H167). % 0.63/0.85 (* end of lemma zenon_L151_ *) % 0.63/0.85 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c1_1 (a368)) -> (~(c2_1 (a368))) -> (~(c0_1 (a368))) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H110 zenon_H83 zenon_H67 zenon_H66 zenon_H65 zenon_H166 zenon_H1ce zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H193 zenon_H192 zenon_H191 zenon_H182 zenon_H184 zenon_H183. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.63/0.85 apply (zenon_L30_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.63/0.85 apply (zenon_L151_); trivial. % 0.63/0.85 apply (zenon_L122_); trivial. % 0.63/0.85 (* end of lemma zenon_L152_ *) % 0.63/0.85 assert (zenon_L153_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (~(c2_1 (a295))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4c zenon_H4e zenon_H9f zenon_H1c9 zenon_H12c zenon_H192 zenon_H193 zenon_H13a zenon_H13c zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H1ce zenon_H166 zenon_H1a2 zenon_H183 zenon_H184 zenon_H182 zenon_H191 zenon_H32 zenon_H33 zenon_H30 zenon_H83 zenon_H116 zenon_Haf. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.63/0.85 apply (zenon_L29_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.63/0.85 apply (zenon_L149_); trivial. % 0.63/0.85 apply (zenon_L152_); trivial. % 0.63/0.85 apply (zenon_L43_); trivial. % 0.63/0.85 (* end of lemma zenon_L153_ *) % 0.63/0.85 assert (zenon_L154_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (~(hskp7)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H174 zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H193 zenon_H192 zenon_H191 zenon_H1c0 zenon_H14f zenon_H14e zenon_H14d zenon_H13a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.85 apply (zenon_L120_); trivial. % 0.63/0.85 apply (zenon_L144_); trivial. % 0.63/0.85 (* end of lemma zenon_L154_ *) % 0.63/0.85 assert (zenon_L155_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (~(c2_1 (a295))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H119 zenon_H179 zenon_H1c0 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H9f zenon_H1c9 zenon_H12c zenon_H192 zenon_H193 zenon_H13a zenon_H13c zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H1ce zenon_H1a2 zenon_H183 zenon_H184 zenon_H182 zenon_H191 zenon_H83 zenon_H116 zenon_Haf zenon_H1a4 zenon_Hc6. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.85 apply (zenon_L153_); trivial. % 0.63/0.85 apply (zenon_L123_); trivial. % 0.63/0.85 apply (zenon_L154_); trivial. % 0.63/0.85 (* end of lemma zenon_L155_ *) % 0.63/0.85 assert (zenon_L156_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H184 zenon_H183 zenon_H182 zenon_Haf zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L139_); trivial. % 0.63/0.86 apply (zenon_L123_); trivial. % 0.63/0.86 (* end of lemma zenon_L156_ *) % 0.63/0.86 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H13e zenon_H11d zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H184 zenon_H183 zenon_H182 zenon_H13c zenon_H13a zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_H41 zenon_H156 zenon_H158 zenon_Hc6. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L137_); trivial. % 0.63/0.86 apply (zenon_L156_); trivial. % 0.63/0.86 (* end of lemma zenon_L157_ *) % 0.63/0.86 assert (zenon_L158_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp16)) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1a2 zenon_Hb zenon_H15d zenon_H15e zenon_H15f zenon_H9a zenon_H193 zenon_H192 zenon_H191 zenon_H12 zenon_H78 zenon_H182 zenon_H184 zenon_H183. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.86 apply (zenon_L131_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.86 apply (zenon_L120_); trivial. % 0.63/0.86 apply (zenon_L121_); trivial. % 0.63/0.86 (* end of lemma zenon_L158_ *) % 0.63/0.86 assert (zenon_L159_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp16)) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hca zenon_H1a4 zenon_H1a2 zenon_Hb zenon_H15d zenon_H15e zenon_H15f zenon_H9a zenon_H193 zenon_H192 zenon_H191 zenon_H182 zenon_H184 zenon_H183. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1a5 ]. % 0.63/0.86 apply (zenon_L45_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H93 | zenon_intro zenon_H78 ]. % 0.63/0.86 apply (zenon_L116_); trivial. % 0.63/0.86 apply (zenon_L158_); trivial. % 0.63/0.86 (* end of lemma zenon_L159_ *) % 0.63/0.86 assert (zenon_L160_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1cf zenon_H1a4 zenon_H116 zenon_H83 zenon_H1ce zenon_H1c9 zenon_H181 zenon_H191 zenon_H192 zenon_H193 zenon_H1c0 zenon_H1a2 zenon_H179 zenon_H175 zenon_H168 zenon_H11d zenon_H12e zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_H158 zenon_Hc6 zenon_H13a zenon_H13c zenon_H141 zenon_H14c. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L137_); trivial. % 0.63/0.86 apply (zenon_L74_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L139_); trivial. % 0.63/0.86 apply (zenon_L95_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.86 apply (zenon_L107_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L136_); trivial. % 0.63/0.86 apply (zenon_L142_); trivial. % 0.63/0.86 apply (zenon_L74_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.86 apply (zenon_L107_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L139_); trivial. % 0.63/0.86 apply (zenon_L146_); trivial. % 0.63/0.86 apply (zenon_L147_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L137_); trivial. % 0.63/0.86 apply (zenon_L155_); trivial. % 0.63/0.86 apply (zenon_L157_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L136_); trivial. % 0.63/0.86 apply (zenon_L159_); trivial. % 0.63/0.86 apply (zenon_L155_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L139_); trivial. % 0.63/0.86 apply (zenon_L159_); trivial. % 0.63/0.86 apply (zenon_L156_); trivial. % 0.63/0.86 apply (zenon_L147_); trivial. % 0.63/0.86 (* end of lemma zenon_L160_ *) % 0.63/0.86 assert (zenon_L161_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_H41 zenon_H156 zenon_H158 zenon_Hc6. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L137_); trivial. % 0.63/0.86 apply (zenon_L126_); trivial. % 0.63/0.86 (* end of lemma zenon_L161_ *) % 0.63/0.86 assert (zenon_L162_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (ndr1_0) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1a2 zenon_Hb2 zenon_Hb1 zenon_He5 zenon_H193 zenon_H192 zenon_H191 zenon_H12 zenon_H1a6 zenon_H1a7 zenon_H1a8. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.63/0.86 apply (zenon_L120_); trivial. % 0.63/0.86 apply (zenon_L125_); trivial. % 0.63/0.86 (* end of lemma zenon_L162_ *) % 0.63/0.86 assert (zenon_L163_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (~(hskp8)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hca zenon_H175 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H16d zenon_H16c zenon_H16b zenon_H1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_He5 | zenon_intro zenon_H178 ]. % 0.63/0.86 apply (zenon_L162_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H16a | zenon_intro zenon_H2 ]. % 0.63/0.86 apply (zenon_L108_); trivial. % 0.63/0.86 exact (zenon_H1 zenon_H2). % 0.63/0.86 (* end of lemma zenon_L163_ *) % 0.63/0.86 assert (zenon_L164_ : ((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H17e zenon_H11d zenon_H168 zenon_H1 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_H175 zenon_Hc6 zenon_H179. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.86 apply (zenon_L107_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L136_); trivial. % 0.63/0.86 apply (zenon_L163_); trivial. % 0.63/0.86 apply (zenon_L126_); trivial. % 0.63/0.86 (* end of lemma zenon_L164_ *) % 0.63/0.86 assert (zenon_L165_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H181 zenon_H168 zenon_H1 zenon_H175 zenon_H179 zenon_Hc6 zenon_H158 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_H191 zenon_H192 zenon_H193 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H11d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.63/0.86 apply (zenon_L161_); trivial. % 0.63/0.86 apply (zenon_L164_); trivial. % 0.63/0.86 (* end of lemma zenon_L165_ *) % 0.63/0.86 assert (zenon_L166_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hc6 zenon_H11e zenon_H120 zenon_H127 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_Hb zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L136_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.86 apply (zenon_L71_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.86 apply (zenon_L90_); trivial. % 0.63/0.86 exact (zenon_H80 zenon_H81). % 0.63/0.86 apply (zenon_L40_); trivial. % 0.63/0.86 apply (zenon_L43_); trivial. % 0.63/0.86 (* end of lemma zenon_L166_ *) % 0.63/0.86 assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H147 zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L166_); trivial. % 0.63/0.86 apply (zenon_L126_); trivial. % 0.63/0.86 (* end of lemma zenon_L167_ *) % 0.63/0.86 assert (zenon_L168_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H181 zenon_H184 zenon_H183 zenon_H182 zenon_Hc6 zenon_H158 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_H191 zenon_H192 zenon_H193 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H11d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.63/0.86 apply (zenon_L161_); trivial. % 0.63/0.86 apply (zenon_L132_); trivial. % 0.63/0.86 (* end of lemma zenon_L168_ *) % 0.63/0.86 assert (zenon_L169_ : ((ndr1_0)/\((c1_1 (a297))/\((c2_1 (a297))/\(~(c0_1 (a297)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1d3 zenon_H1d4 zenon_Hc3 zenon_H14c zenon_H141 zenon_H13c zenon_Hc6 zenon_H158 zenon_Haf zenon_H9f zenon_H9a zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_H12e zenon_H11d zenon_H168 zenon_H175 zenon_H179 zenon_H1a2 zenon_H1c0 zenon_H193 zenon_H192 zenon_H191 zenon_H181 zenon_H1c9 zenon_H1ce zenon_H83 zenon_H116 zenon_H1a4 zenon_H1cf. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.63/0.86 apply (zenon_L160_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.86 apply (zenon_L165_); trivial. % 0.63/0.86 apply (zenon_L167_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.63/0.86 apply (zenon_L168_); trivial. % 0.63/0.86 apply (zenon_L167_); trivial. % 0.63/0.86 (* end of lemma zenon_L169_ *) % 0.63/0.86 assert (zenon_L170_ : (forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H86 zenon_H12 zenon_H1da zenon_H1db zenon_H1dc. % 0.63/0.86 generalize (zenon_H86 (a294)). zenon_intro zenon_H1dd. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H1dd); [ zenon_intro zenon_H11 | zenon_intro zenon_H1de ]. % 0.63/0.86 exact (zenon_H11 zenon_H12). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ]. % 0.63/0.86 exact (zenon_H1da zenon_H1e0). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 0.63/0.86 exact (zenon_H1e2 zenon_H1db). % 0.63/0.86 exact (zenon_H1e1 zenon_H1dc). % 0.63/0.86 (* end of lemma zenon_L170_ *) % 0.63/0.86 assert (zenon_L171_ : (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15)))))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H15c zenon_H12 zenon_H1da zenon_H93 zenon_H1db zenon_H1dc. % 0.63/0.86 generalize (zenon_H15c (a294)). zenon_intro zenon_H1e3. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e4 ]. % 0.63/0.86 exact (zenon_H11 zenon_H12). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e5 ]. % 0.63/0.86 exact (zenon_H1da zenon_H1e0). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e1 ]. % 0.63/0.86 generalize (zenon_H93 (a294)). zenon_intro zenon_H1e7. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H1e7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e8 ]. % 0.63/0.86 exact (zenon_H11 zenon_H12). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e9 ]. % 0.63/0.86 exact (zenon_H1da zenon_H1e0). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1ea ]. % 0.63/0.86 exact (zenon_H1e2 zenon_H1db). % 0.63/0.86 exact (zenon_H1ea zenon_H1e6). % 0.63/0.86 exact (zenon_H1e1 zenon_H1dc). % 0.63/0.86 (* end of lemma zenon_L171_ *) % 0.63/0.86 assert (zenon_L172_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15)))))) -> (~(hskp16)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H15c zenon_Hb. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H86 | zenon_intro zenon_H9d ]. % 0.63/0.86 apply (zenon_L170_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc ]. % 0.63/0.86 apply (zenon_L171_); trivial. % 0.63/0.86 exact (zenon_Hb zenon_Hc). % 0.63/0.86 (* end of lemma zenon_L172_ *) % 0.63/0.86 assert (zenon_L173_ : ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp8)) -> (~(hskp23)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H168 zenon_Hb zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H1 zenon_H166. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H15c | zenon_intro zenon_H169 ]. % 0.63/0.86 apply (zenon_L172_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H2 | zenon_intro zenon_H167 ]. % 0.63/0.86 exact (zenon_H1 zenon_H2). % 0.63/0.86 exact (zenon_H166 zenon_H167). % 0.63/0.86 (* end of lemma zenon_L173_ *) % 0.63/0.86 assert (zenon_L174_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp16)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1eb zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H4c zenon_Hb. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H86 | zenon_intro zenon_H1ec ]. % 0.63/0.86 apply (zenon_L170_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4d | zenon_intro zenon_Hc ]. % 0.63/0.86 exact (zenon_H4c zenon_H4d). % 0.63/0.86 exact (zenon_Hb zenon_Hc). % 0.63/0.86 (* end of lemma zenon_L174_ *) % 0.63/0.86 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp15)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H174 zenon_Hc6 zenon_H175 zenon_H12c zenon_H1 zenon_H12e zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1eb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.63/0.86 apply (zenon_L174_); trivial. % 0.63/0.86 apply (zenon_L142_); trivial. % 0.63/0.86 (* end of lemma zenon_L175_ *) % 0.63/0.86 assert (zenon_L176_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp7)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H13e zenon_H13c zenon_H1dc zenon_H1db zenon_H1da zenon_H13a. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H86 | zenon_intro zenon_H13d ]. % 0.63/0.86 apply (zenon_L170_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H13b ]. % 0.63/0.86 apply (zenon_L76_); trivial. % 0.63/0.86 exact (zenon_H13a zenon_H13b). % 0.63/0.86 (* end of lemma zenon_L176_ *) % 0.63/0.86 assert (zenon_L177_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H141 zenon_H13c zenon_H13a zenon_H179 zenon_Hc6 zenon_H175 zenon_H12e zenon_H1eb zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H1 zenon_H168 zenon_H11d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.86 apply (zenon_L173_); trivial. % 0.63/0.86 apply (zenon_L175_); trivial. % 0.63/0.86 apply (zenon_L74_); trivial. % 0.63/0.86 apply (zenon_L176_); trivial. % 0.63/0.86 (* end of lemma zenon_L177_ *) % 0.63/0.86 assert (zenon_L178_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_H184 zenon_H183 zenon_H182 zenon_H12 zenon_Hb. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H86 | zenon_intro zenon_H9d ]. % 0.63/0.86 apply (zenon_L170_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc ]. % 0.63/0.86 apply (zenon_L116_); trivial. % 0.63/0.86 exact (zenon_Hb zenon_Hc). % 0.63/0.86 (* end of lemma zenon_L178_ *) % 0.63/0.86 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1d0 zenon_H141 zenon_H13c zenon_H13a zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_H18e zenon_H9 zenon_Hfe zenon_H9f zenon_H11d. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L178_); trivial. % 0.63/0.86 apply (zenon_L119_); trivial. % 0.63/0.86 apply (zenon_L176_); trivial. % 0.63/0.86 (* end of lemma zenon_L179_ *) % 0.63/0.86 assert (zenon_L180_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1cf zenon_H18e zenon_H9 zenon_Hfe zenon_H9f zenon_H11d zenon_H168 zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H1eb zenon_H12e zenon_H175 zenon_Hc6 zenon_H179 zenon_H13a zenon_H13c zenon_H141. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.63/0.86 apply (zenon_L177_); trivial. % 0.63/0.86 apply (zenon_L179_); trivial. % 0.63/0.86 (* end of lemma zenon_L180_ *) % 0.63/0.86 assert (zenon_L181_ : (~(hskp21)) -> (hskp21) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1ed zenon_H1ee. % 0.63/0.86 exact (zenon_H1ed zenon_H1ee). % 0.63/0.86 (* end of lemma zenon_L181_ *) % 0.63/0.86 assert (zenon_L182_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp21)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_Hb zenon_H1ed. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H86 | zenon_intro zenon_H1f0 ]. % 0.63/0.86 apply (zenon_L170_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_Hc | zenon_intro zenon_H1ee ]. % 0.63/0.86 exact (zenon_Hb zenon_Hc). % 0.63/0.86 exact (zenon_H1ed zenon_H1ee). % 0.63/0.86 (* end of lemma zenon_L182_ *) % 0.63/0.86 assert (zenon_L183_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a330))) -> (~(c2_1 (a330))) -> (c3_1 (a330)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1f1 zenon_H12 zenon_H1f2 zenon_H1f3 zenon_H1f4. % 0.63/0.86 generalize (zenon_H1f1 (a330)). zenon_intro zenon_H1f5. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f6 ]. % 0.63/0.86 exact (zenon_H11 zenon_H12). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.63/0.86 exact (zenon_H1f2 zenon_H1f8). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.63/0.86 exact (zenon_H1f3 zenon_H1fa). % 0.63/0.86 exact (zenon_H1f9 zenon_H1f4). % 0.63/0.86 (* end of lemma zenon_L183_ *) % 0.63/0.86 assert (zenon_L184_ : (~(hskp9)) -> (hskp9) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1fb zenon_H1fc. % 0.63/0.86 exact (zenon_H1fb zenon_H1fc). % 0.63/0.86 (* end of lemma zenon_L184_ *) % 0.63/0.86 assert (zenon_L185_ : (~(hskp10)) -> (hskp10) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1fd zenon_H1fe. % 0.63/0.86 exact (zenon_H1fd zenon_H1fe). % 0.63/0.86 (* end of lemma zenon_L185_ *) % 0.63/0.86 assert (zenon_L186_ : ((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp9)) -> (~(hskp10)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1ff zenon_H200 zenon_H1fb zenon_H1fd. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H12. zenon_intro zenon_H201. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1f4. zenon_intro zenon_H202. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H1f2. zenon_intro zenon_H1f3. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H203 ]. % 0.63/0.86 apply (zenon_L183_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1fc | zenon_intro zenon_H1fe ]. % 0.63/0.86 exact (zenon_H1fb zenon_H1fc). % 0.63/0.86 exact (zenon_H1fd zenon_H1fe). % 0.63/0.86 (* end of lemma zenon_L186_ *) % 0.63/0.86 assert (zenon_L187_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1ef. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ff ]. % 0.63/0.86 apply (zenon_L182_); trivial. % 0.63/0.86 apply (zenon_L186_); trivial. % 0.63/0.86 (* end of lemma zenon_L187_ *) % 0.63/0.86 assert (zenon_L188_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> (~(hskp8)) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H11d zenon_Hd0 zenon_H15a zenon_H1 zenon_H3 zenon_H7 zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H1fb zenon_H1fd zenon_H200 zenon_H204. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L187_); trivial. % 0.63/0.86 apply (zenon_L103_); trivial. % 0.63/0.86 (* end of lemma zenon_L188_ *) % 0.63/0.86 assert (zenon_L189_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H115 zenon_H179 zenon_H175 zenon_H9a zenon_Hb zenon_H1dc zenon_H1db zenon_H1da zenon_H1 zenon_H168. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.63/0.86 apply (zenon_L173_); trivial. % 0.63/0.86 apply (zenon_L109_); trivial. % 0.63/0.86 (* end of lemma zenon_L189_ *) % 0.63/0.86 assert (zenon_L190_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a308))) -> (~(c2_1 (a308))) -> (c0_1 (a308)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H11a zenon_H179 zenon_H175 zenon_H9a zenon_Hb zenon_H1dc zenon_H1db zenon_H1da zenon_H1 zenon_H168 zenon_H12 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hd1 zenon_Hd5. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.63/0.86 apply (zenon_L55_); trivial. % 0.63/0.86 apply (zenon_L189_); trivial. % 0.63/0.86 (* end of lemma zenon_L190_ *) % 0.63/0.86 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H17a zenon_H11d zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hd5 zenon_Hd1 zenon_H168 zenon_H1 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H175 zenon_H179 zenon_H11a. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.63/0.86 apply (zenon_L190_); trivial. % 0.63/0.86 apply (zenon_L67_); trivial. % 0.63/0.86 (* end of lemma zenon_L191_ *) % 0.63/0.86 assert (zenon_L192_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (~(hskp29)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H6e zenon_H33 zenon_H32 zenon_H30 zenon_H12 zenon_H2f zenon_H80. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.63/0.86 apply (zenon_L70_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.63/0.86 apply (zenon_L15_); trivial. % 0.63/0.86 exact (zenon_H80 zenon_H81). % 0.63/0.86 (* end of lemma zenon_L192_ *) % 0.63/0.86 assert (zenon_L193_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c3_1 (a323))) -> (~(c2_1 (a323))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H109 zenon_H127 zenon_H120 zenon_H11e zenon_He8 zenon_He7 zenon_H100 zenon_H12 zenon_H3f. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.63/0.86 apply (zenon_L86_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H13 | zenon_intro zenon_H40 ]. % 0.63/0.86 apply (zenon_L63_); trivial. % 0.63/0.86 exact (zenon_H3f zenon_H40). % 0.63/0.86 (* end of lemma zenon_L193_ *) % 0.63/0.86 assert (zenon_L194_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a323))) -> (~(c3_1 (a323))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (~(hskp29)) -> (~(c0_1 (a323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp4)) -> (~(hskp28)) -> False). % 0.63/0.86 do 0 intro. intros zenon_He3 zenon_H12 zenon_He7 zenon_He8 zenon_H11e zenon_H120 zenon_H127 zenon_H109 zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H80 zenon_He6 zenon_H111 zenon_H3f zenon_He1. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.63/0.86 apply (zenon_L58_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.63/0.86 apply (zenon_L192_); trivial. % 0.63/0.86 apply (zenon_L193_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H40 | zenon_intro zenon_He2 ]. % 0.63/0.86 exact (zenon_H3f zenon_H40). % 0.63/0.86 exact (zenon_He1 zenon_He2). % 0.63/0.86 (* end of lemma zenon_L194_ *) % 0.70/0.87 assert (zenon_L195_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a323))) -> (~(c2_1 (a323))) -> (~(c0_1 (a323))) -> (ndr1_0) -> (~(hskp28)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H9f zenon_Hfe zenon_H9 zenon_H111 zenon_H3f zenon_H109 zenon_H11e zenon_H120 zenon_H127 zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_He8 zenon_He7 zenon_He6 zenon_H12 zenon_He1 zenon_He3. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.70/0.87 apply (zenon_L194_); trivial. % 0.70/0.87 apply (zenon_L118_); trivial. % 0.70/0.87 (* end of lemma zenon_L195_ *) % 0.70/0.87 assert (zenon_L196_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H115 zenon_H116 zenon_He3 zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.70/0.87 apply (zenon_L195_); trivial. % 0.70/0.87 apply (zenon_L65_); trivial. % 0.70/0.87 (* end of lemma zenon_L196_ *) % 0.70/0.87 assert (zenon_L197_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> (~(c1_1 (a308))) -> (~(c2_1 (a308))) -> (c0_1 (a308)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_He3 zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hd1 zenon_Hd5. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.70/0.87 apply (zenon_L55_); trivial. % 0.70/0.87 apply (zenon_L196_); trivial. % 0.70/0.87 (* end of lemma zenon_L197_ *) % 0.70/0.87 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H17a zenon_H11d zenon_H116 zenon_He3 zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_Hd5 zenon_Hd1 zenon_H168 zenon_H1 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H175 zenon_H179 zenon_H11a. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.70/0.87 apply (zenon_L190_); trivial. % 0.70/0.87 apply (zenon_L197_); trivial. % 0.70/0.87 (* end of lemma zenon_L198_ *) % 0.70/0.87 assert (zenon_L199_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (ndr1_0) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H205 zenon_H12 zenon_H206 zenon_H207 zenon_H208. % 0.70/0.87 generalize (zenon_H205 (a305)). zenon_intro zenon_H209. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H20a ]. % 0.70/0.87 exact (zenon_H11 zenon_H12). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H20c | zenon_intro zenon_H20b ]. % 0.70/0.87 exact (zenon_H206 zenon_H20c). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ]. % 0.70/0.87 exact (zenon_H20e zenon_H207). % 0.70/0.87 exact (zenon_H20d zenon_H208). % 0.70/0.87 (* end of lemma zenon_L199_ *) % 0.70/0.87 assert (zenon_L200_ : ((ndr1_0)/\((c1_1 (a305))/\((c2_1 (a305))/\(~(c3_1 (a305)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp9)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H20f zenon_H210 zenon_H1dc zenon_H1db zenon_H1da zenon_H1fb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H86 | zenon_intro zenon_H213 ]. % 0.70/0.87 apply (zenon_L170_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H205 | zenon_intro zenon_H1fc ]. % 0.70/0.87 apply (zenon_L199_); trivial. % 0.70/0.87 exact (zenon_H1fb zenon_H1fc). % 0.70/0.87 (* end of lemma zenon_L200_ *) % 0.70/0.87 assert (zenon_L201_ : ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (c3_1 (a299)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22)))))) -> (c0_1 (a299)) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp28)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H214 zenon_H1a8 zenon_H93 zenon_H1a7 zenon_H12 zenon_H1 zenon_He1. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ]. % 0.70/0.87 generalize (zenon_H216 (a299)). zenon_intro zenon_H217. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H217); [ zenon_intro zenon_H11 | zenon_intro zenon_H218 ]. % 0.70/0.87 exact (zenon_H11 zenon_H12). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ae | zenon_intro zenon_H219 ]. % 0.70/0.87 exact (zenon_H1ae zenon_H1a7). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H21a | zenon_intro zenon_H1ad ]. % 0.70/0.87 generalize (zenon_H93 (a299)). zenon_intro zenon_H21b. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H11 | zenon_intro zenon_H21c ]. % 0.70/0.87 exact (zenon_H11 zenon_H12). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H21d | zenon_intro zenon_H1ab ]. % 0.70/0.87 exact (zenon_H21a zenon_H21d). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.70/0.87 exact (zenon_H1ae zenon_H1a7). % 0.70/0.87 exact (zenon_H1ad zenon_H1a8). % 0.70/0.87 exact (zenon_H1ad zenon_H1a8). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H2 | zenon_intro zenon_He2 ]. % 0.70/0.87 exact (zenon_H1 zenon_H2). % 0.70/0.87 exact (zenon_He1 zenon_He2). % 0.70/0.87 (* end of lemma zenon_L201_ *) % 0.70/0.87 assert (zenon_L202_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp28)) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (~(hskp16)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_He1 zenon_H1 zenon_H12 zenon_H1a7 zenon_H1a8 zenon_H214 zenon_Hb. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H86 | zenon_intro zenon_H9d ]. % 0.70/0.87 apply (zenon_L170_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc ]. % 0.70/0.87 apply (zenon_L201_); trivial. % 0.70/0.87 exact (zenon_Hb zenon_Hc). % 0.70/0.87 (* end of lemma zenon_L202_ *) % 0.70/0.87 assert (zenon_L203_ : (forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42)))))) -> (ndr1_0) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H21e zenon_H12 zenon_H21f zenon_H220 zenon_H221. % 0.70/0.87 generalize (zenon_H21e (a304)). zenon_intro zenon_H222. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H11 | zenon_intro zenon_H223 ]. % 0.70/0.87 exact (zenon_H11 zenon_H12). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 0.70/0.87 exact (zenon_H21f zenon_H225). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H227 | zenon_intro zenon_H226 ]. % 0.70/0.87 exact (zenon_H227 zenon_H220). % 0.70/0.87 exact (zenon_H226 zenon_H221). % 0.70/0.87 (* end of lemma zenon_L203_ *) % 0.70/0.87 assert (zenon_L204_ : ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (c3_1 (a296)) -> (c2_1 (a296)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_Hf4 zenon_Hf3 zenon_H6e zenon_H12 zenon_H3f. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21e | zenon_intro zenon_H229 ]. % 0.70/0.87 apply (zenon_L203_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Hfb | zenon_intro zenon_H40 ]. % 0.70/0.87 apply (zenon_L61_); trivial. % 0.70/0.87 exact (zenon_H3f zenon_H40). % 0.70/0.87 (* end of lemma zenon_L204_ *) % 0.70/0.87 assert (zenon_L205_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (c3_1 (a296)) -> (c2_1 (a296)) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_He5 zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_Hf4 zenon_Hf3 zenon_H12 zenon_H3f. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.70/0.87 apply (zenon_L45_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.70/0.87 apply (zenon_L140_); trivial. % 0.70/0.87 apply (zenon_L204_); trivial. % 0.70/0.87 (* end of lemma zenon_L205_ *) % 0.70/0.87 assert (zenon_L206_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp4)) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (~(hskp8)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H110 zenon_H175 zenon_H3f zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H16d zenon_H16c zenon_H16b zenon_H1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_He5 | zenon_intro zenon_H178 ]. % 0.70/0.87 apply (zenon_L205_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H16a | zenon_intro zenon_H2 ]. % 0.70/0.87 apply (zenon_L108_); trivial. % 0.70/0.87 exact (zenon_H1 zenon_H2). % 0.70/0.87 (* end of lemma zenon_L206_ *) % 0.70/0.87 assert (zenon_L207_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (~(hskp8)) -> (c3_1 (a299)) -> (c0_1 (a299)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H174 zenon_Hc6 zenon_H116 zenon_H175 zenon_H228 zenon_H3f zenon_H221 zenon_H220 zenon_H21f zenon_Hc3 zenon_H214 zenon_H1 zenon_H1a8 zenon_H1a7 zenon_H9a zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1eb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.70/0.87 apply (zenon_L174_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.70/0.87 apply (zenon_L202_); trivial. % 0.70/0.87 apply (zenon_L206_); trivial. % 0.70/0.87 (* end of lemma zenon_L207_ *) % 0.70/0.87 assert (zenon_L208_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H11d zenon_Hd0 zenon_H15a zenon_H3 zenon_H7 zenon_H168 zenon_H1 zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H1eb zenon_H1a7 zenon_H1a8 zenon_H214 zenon_Hc3 zenon_H21f zenon_H220 zenon_H221 zenon_H3f zenon_H228 zenon_H175 zenon_H116 zenon_Hc6 zenon_H179. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.70/0.87 apply (zenon_L173_); trivial. % 0.70/0.87 apply (zenon_L207_); trivial. % 0.70/0.87 apply (zenon_L103_); trivial. % 0.70/0.87 (* end of lemma zenon_L208_ *) % 0.70/0.87 assert (zenon_L209_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H17d zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_He3 zenon_Hd5 zenon_Hd1 zenon_H11a zenon_H179 zenon_Hc6 zenon_H116 zenon_H175 zenon_H228 zenon_H3f zenon_H221 zenon_H220 zenon_H21f zenon_Hc3 zenon_H214 zenon_H1a8 zenon_H1a7 zenon_H1eb zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H1 zenon_H168 zenon_H7 zenon_H15a zenon_Hd0 zenon_H11d. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.70/0.87 apply (zenon_L208_); trivial. % 0.70/0.87 apply (zenon_L191_); trivial. % 0.70/0.87 (* end of lemma zenon_L209_ *) % 0.70/0.87 assert (zenon_L210_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a323))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(hskp4)) -> (~(c2_1 (a323))) -> (~(c3_1 (a323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H110 zenon_H111 zenon_He6 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_Hfe zenon_H32 zenon_H33 zenon_H30 zenon_H3f zenon_He7 zenon_He8 zenon_H109 zenon_H9. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.70/0.87 apply (zenon_L58_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.70/0.87 apply (zenon_L204_); trivial. % 0.70/0.87 apply (zenon_L64_); trivial. % 0.70/0.87 (* end of lemma zenon_L210_ *) % 0.70/0.87 assert (zenon_L211_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H115 zenon_H116 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_He3 zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.70/0.87 apply (zenon_L195_); trivial. % 0.70/0.87 apply (zenon_L210_); trivial. % 0.70/0.87 (* end of lemma zenon_L211_ *) % 0.70/0.87 assert (zenon_L212_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> (~(c1_1 (a308))) -> (~(c2_1 (a308))) -> (c0_1 (a308)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_He3 zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hd1 zenon_Hd5. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.70/0.87 apply (zenon_L55_); trivial. % 0.70/0.87 apply (zenon_L211_); trivial. % 0.70/0.87 (* end of lemma zenon_L212_ *) % 0.70/0.87 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H17a zenon_H11d zenon_H116 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_He3 zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_Hd5 zenon_Hd1 zenon_H168 zenon_H1 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H175 zenon_H179 zenon_H11a. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.87 apply (zenon_L190_); trivial. % 0.71/0.87 apply (zenon_L212_); trivial. % 0.71/0.87 (* end of lemma zenon_L213_ *) % 0.71/0.87 assert (zenon_L214_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (c0_1 (a300)) -> (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48)))))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> False). % 0.71/0.87 do 0 intro. intros zenon_Hfb zenon_H12 zenon_H183 zenon_Hda zenon_H182 zenon_H184. % 0.71/0.87 generalize (zenon_Hfb (a300)). zenon_intro zenon_H22a. % 0.71/0.87 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H11 | zenon_intro zenon_H22b ]. % 0.71/0.87 exact (zenon_H11 zenon_H12). % 0.71/0.87 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H18a | zenon_intro zenon_H1a0 ]. % 0.71/0.87 exact (zenon_H18a zenon_H183). % 0.71/0.87 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H189 ]. % 0.71/0.87 generalize (zenon_Hda (a300)). zenon_intro zenon_H22c. % 0.71/0.87 apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_H11 | zenon_intro zenon_H22d ]. % 0.71/0.87 exact (zenon_H11 zenon_H12). % 0.71/0.87 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H188 | zenon_intro zenon_H22e ]. % 0.71/0.87 exact (zenon_H182 zenon_H188). % 0.71/0.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H19d | zenon_intro zenon_H18a ]. % 0.71/0.87 exact (zenon_H1a1 zenon_H19d). % 0.71/0.87 exact (zenon_H18a zenon_H183). % 0.71/0.87 exact (zenon_H189 zenon_H184). % 0.71/0.87 (* end of lemma zenon_L214_ *) % 0.71/0.87 assert (zenon_L215_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp21)) -> (ndr1_0) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (~(hskp0)) -> (~(hskp17)) -> False). % 0.71/0.87 do 0 intro. intros zenon_Hd5 zenon_H1ed zenon_H12 zenon_H183 zenon_H182 zenon_H184 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22f zenon_Hd1 zenon_Hd3. % 0.71/0.87 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H19a | zenon_intro zenon_H230 ]. % 0.71/0.87 apply (zenon_L125_); trivial. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfb | zenon_intro zenon_H1ee ]. % 0.71/0.87 apply (zenon_L214_); trivial. % 0.71/0.87 exact (zenon_H1ed zenon_H1ee). % 0.71/0.87 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd4 ]. % 0.71/0.87 exact (zenon_Hd1 zenon_Hd2). % 0.71/0.87 exact (zenon_Hd3 zenon_Hd4). % 0.71/0.87 (* end of lemma zenon_L215_ *) % 0.71/0.87 assert (zenon_L216_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H22f zenon_H184 zenon_H182 zenon_H183 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H12 zenon_Hd1 zenon_Hd3 zenon_Hd5. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ff ]. % 0.71/0.87 apply (zenon_L215_); trivial. % 0.71/0.87 apply (zenon_L186_); trivial. % 0.71/0.87 (* end of lemma zenon_L216_ *) % 0.71/0.87 assert (zenon_L217_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hd5 zenon_Hd1 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H183 zenon_H182 zenon_H184 zenon_H22f zenon_H1fb zenon_H1fd zenon_H200 zenon_H204. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.87 apply (zenon_L216_); trivial. % 0.71/0.87 apply (zenon_L66_); trivial. % 0.71/0.87 (* end of lemma zenon_L217_ *) % 0.71/0.87 assert (zenon_L218_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H11d zenon_H11a zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hd5 zenon_Hd1 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H183 zenon_H182 zenon_H184 zenon_H22f zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H1fb zenon_H1fd zenon_H200 zenon_H204. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.87 apply (zenon_L187_); trivial. % 0.71/0.87 apply (zenon_L217_); trivial. % 0.71/0.87 (* end of lemma zenon_L218_ *) % 0.71/0.87 assert (zenon_L219_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_He3 zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_Hd5 zenon_Hd1 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H183 zenon_H182 zenon_H184 zenon_H22f zenon_H1fb zenon_H1fd zenon_H200 zenon_H204. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.87 apply (zenon_L216_); trivial. % 0.71/0.87 apply (zenon_L196_); trivial. % 0.71/0.87 (* end of lemma zenon_L219_ *) % 0.71/0.87 assert (zenon_L220_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp4)) -> (ndr1_0) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp0)) -> (~(hskp17)) -> False). % 0.71/0.87 do 0 intro. intros zenon_Hd5 zenon_H3f zenon_H12 zenon_H183 zenon_H182 zenon_H184 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_Hd1 zenon_Hd3. % 0.71/0.87 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21e | zenon_intro zenon_H229 ]. % 0.71/0.87 apply (zenon_L203_); trivial. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Hfb | zenon_intro zenon_H40 ]. % 0.71/0.87 apply (zenon_L214_); trivial. % 0.71/0.87 exact (zenon_H3f zenon_H40). % 0.71/0.87 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd4 ]. % 0.71/0.87 exact (zenon_Hd1 zenon_Hd2). % 0.71/0.87 exact (zenon_Hd3 zenon_Hd4). % 0.71/0.87 (* end of lemma zenon_L220_ *) % 0.71/0.87 assert (zenon_L221_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H115 zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_H43 zenon_H41 zenon_H3f zenon_H33 zenon_H32 zenon_H30 zenon_He3. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.87 apply (zenon_L57_); trivial. % 0.71/0.87 apply (zenon_L210_); trivial. % 0.71/0.87 (* end of lemma zenon_L221_ *) % 0.71/0.87 assert (zenon_L222_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_H111 zenon_H109 zenon_H9 zenon_Hfe zenon_H43 zenon_H41 zenon_He3 zenon_H228 zenon_H3f zenon_H184 zenon_H182 zenon_H183 zenon_H221 zenon_H220 zenon_H21f zenon_Hd1 zenon_Hd5. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.87 apply (zenon_L220_); trivial. % 0.71/0.87 apply (zenon_L221_); trivial. % 0.71/0.87 (* end of lemma zenon_L222_ *) % 0.71/0.87 assert (zenon_L223_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H119 zenon_H11a zenon_H116 zenon_He3 zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_H228 zenon_H3f zenon_H184 zenon_H182 zenon_H183 zenon_H221 zenon_H220 zenon_H21f zenon_Hd1 zenon_Hd5. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.87 apply (zenon_L220_); trivial. % 0.71/0.87 apply (zenon_L211_); trivial. % 0.71/0.87 (* end of lemma zenon_L223_ *) % 0.71/0.87 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H147 zenon_H11d zenon_H11a zenon_H116 zenon_He3 zenon_H82 zenon_H109 zenon_H111 zenon_H9 zenon_Hfe zenon_H9f zenon_H228 zenon_H3f zenon_H221 zenon_H220 zenon_H21f zenon_Hd1 zenon_Hd5 zenon_H1da zenon_H1db zenon_H1dc zenon_H182 zenon_H183 zenon_H184 zenon_H9a. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.87 apply (zenon_L178_); trivial. % 0.71/0.87 apply (zenon_L223_); trivial. % 0.71/0.87 (* end of lemma zenon_L224_ *) % 0.71/0.87 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a305))/\((c2_1 (a305))/\(~(c3_1 (a305))))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H1d0 zenon_H231 zenon_H9a zenon_H228 zenon_H14c zenon_H82 zenon_H9f zenon_H204 zenon_H200 zenon_H1da zenon_H1db zenon_H1dc zenon_H1ef zenon_H22f zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_Hd1 zenon_Hd5 zenon_He3 zenon_H3f zenon_H43 zenon_Hfe zenon_H9 zenon_H109 zenon_H111 zenon_H116 zenon_H11a zenon_H11d zenon_H210 zenon_H232. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.87 apply (zenon_L218_); trivial. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.87 apply (zenon_L187_); trivial. % 0.71/0.87 apply (zenon_L219_); trivial. % 0.71/0.87 apply (zenon_L200_); trivial. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.87 apply (zenon_L178_); trivial. % 0.71/0.87 apply (zenon_L222_); trivial. % 0.71/0.87 apply (zenon_L224_); trivial. % 0.71/0.87 (* end of lemma zenon_L225_ *) % 0.71/0.87 assert (zenon_L226_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H14c zenon_H1c0 zenon_H13a zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.87 apply (zenon_L91_); trivial. % 0.71/0.87 apply (zenon_L147_); trivial. % 0.71/0.87 (* end of lemma zenon_L226_ *) % 0.71/0.87 assert (zenon_L227_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.71/0.87 do 0 intro. intros zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H6e zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H80. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.87 apply (zenon_L70_); trivial. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.87 apply (zenon_L90_); trivial. % 0.71/0.87 exact (zenon_H80 zenon_H81). % 0.71/0.87 (* end of lemma zenon_L227_ *) % 0.71/0.87 assert (zenon_L228_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a323))) -> (~(hskp29)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c3_1 (a323))) -> (~(c2_1 (a323))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.71/0.87 do 0 intro. intros zenon_H111 zenon_He6 zenon_H80 zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H109 zenon_H127 zenon_H120 zenon_H11e zenon_He8 zenon_He7 zenon_H12 zenon_H3f. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.87 apply (zenon_L58_); trivial. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.87 apply (zenon_L227_); trivial. % 0.71/0.87 apply (zenon_L193_); trivial. % 0.71/0.87 (* end of lemma zenon_L228_ *) % 0.71/0.87 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(hskp21)) -> False). % 0.71/0.87 do 0 intro. intros zenon_H99 zenon_H22f zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H1ed. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H19a | zenon_intro zenon_H230 ]. % 0.71/0.87 apply (zenon_L125_); trivial. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hfb | zenon_intro zenon_H1ee ]. % 0.71/0.87 apply (zenon_L117_); trivial. % 0.71/0.87 exact (zenon_H1ed zenon_H1ee). % 0.71/0.87 (* end of lemma zenon_L229_ *) % 0.71/0.87 assert (zenon_L230_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H115 zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H111 zenon_H3f zenon_H109 zenon_H11e zenon_H120 zenon_H127 zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22f zenon_H9f. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ff ]. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.87 apply (zenon_L228_); trivial. % 0.71/0.87 apply (zenon_L229_); trivial. % 0.71/0.87 apply (zenon_L186_); trivial. % 0.71/0.87 (* end of lemma zenon_L230_ *) % 0.71/0.87 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H17a zenon_H11a zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H111 zenon_H3f zenon_H109 zenon_H11e zenon_H120 zenon_H127 zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22f zenon_H9f zenon_Hd1 zenon_Hd5. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.87 apply (zenon_L55_); trivial. % 0.71/0.87 apply (zenon_L230_); trivial. % 0.71/0.87 (* end of lemma zenon_L231_ *) % 0.71/0.87 assert (zenon_L232_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(hskp4)) -> False). % 0.71/0.87 do 0 intro. intros zenon_H99 zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_H3f. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21e | zenon_intro zenon_H229 ]. % 0.71/0.87 apply (zenon_L203_); trivial. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Hfb | zenon_intro zenon_H40 ]. % 0.71/0.87 apply (zenon_L117_); trivial. % 0.71/0.87 exact (zenon_H3f zenon_H40). % 0.71/0.87 (* end of lemma zenon_L232_ *) % 0.71/0.87 assert (zenon_L233_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> False). % 0.71/0.87 do 0 intro. intros zenon_H115 zenon_H9f zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.71/0.87 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.87 apply (zenon_L228_); trivial. % 0.71/0.87 apply (zenon_L232_); trivial. % 0.71/0.87 (* end of lemma zenon_L233_ *) % 0.71/0.87 assert (zenon_L234_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H17a zenon_H11a zenon_H9f zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H127 zenon_H120 zenon_H11e zenon_H109 zenon_H3f zenon_H111 zenon_Hd1 zenon_Hd5. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.88 apply (zenon_L55_); trivial. % 0.71/0.88 apply (zenon_L233_); trivial. % 0.71/0.88 (* end of lemma zenon_L234_ *) % 0.71/0.88 assert (zenon_L235_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H14c zenon_H11a zenon_H111 zenon_H109 zenon_H82 zenon_H9f zenon_Hd5 zenon_Hd1 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H183 zenon_H182 zenon_H184 zenon_H22f zenon_H1fb zenon_H1fd zenon_H200 zenon_H204 zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.88 apply (zenon_L91_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.88 apply (zenon_L216_); trivial. % 0.71/0.88 apply (zenon_L230_); trivial. % 0.71/0.88 (* end of lemma zenon_L235_ *) % 0.71/0.88 assert (zenon_L236_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H233 zenon_H14c zenon_H11a zenon_H9f zenon_H82 zenon_H109 zenon_H111 zenon_H228 zenon_H184 zenon_H182 zenon_H183 zenon_Hd1 zenon_Hd5 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.88 apply (zenon_L91_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.88 apply (zenon_L220_); trivial. % 0.71/0.88 apply (zenon_L233_); trivial. % 0.71/0.88 (* end of lemma zenon_L236_ *) % 0.71/0.88 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a305))/\((c2_1 (a305))/\(~(c3_1 (a305))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1d0 zenon_H231 zenon_H228 zenon_H14c zenon_H11a zenon_H111 zenon_H109 zenon_H82 zenon_H9f zenon_Hd5 zenon_Hd1 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22f zenon_H200 zenon_H204 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43 zenon_H1da zenon_H1db zenon_H1dc zenon_H210 zenon_H232. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.71/0.88 apply (zenon_L235_); trivial. % 0.71/0.88 apply (zenon_L200_); trivial. % 0.71/0.88 apply (zenon_L236_); trivial. % 0.71/0.88 (* end of lemma zenon_L237_ *) % 0.71/0.88 assert (zenon_L238_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H174 zenon_Hc6 zenon_H175 zenon_H1 zenon_H191 zenon_H192 zenon_H193 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1eb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.88 apply (zenon_L174_); trivial. % 0.71/0.88 apply (zenon_L163_); trivial. % 0.71/0.88 (* end of lemma zenon_L238_ *) % 0.71/0.88 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1d0 zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L178_); trivial. % 0.71/0.88 apply (zenon_L126_); trivial. % 0.71/0.88 (* end of lemma zenon_L239_ *) % 0.71/0.88 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1d7 zenon_H1cf zenon_H179 zenon_Hc6 zenon_H175 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H1eb zenon_H9a zenon_H1dc zenon_H1db zenon_H1da zenon_H168 zenon_H11d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.71/0.88 apply (zenon_L173_); trivial. % 0.71/0.88 apply (zenon_L238_); trivial. % 0.71/0.88 apply (zenon_L126_); trivial. % 0.71/0.88 apply (zenon_L239_); trivial. % 0.71/0.88 (* end of lemma zenon_L240_ *) % 0.71/0.88 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H5e zenon_H1ce zenon_H166. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H12. zenon_intro zenon_H60. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H53. zenon_intro zenon_H61. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H52 | zenon_intro zenon_H167 ]. % 0.71/0.88 apply (zenon_L26_); trivial. % 0.71/0.88 exact (zenon_H166 zenon_H167). % 0.71/0.88 (* end of lemma zenon_L241_ *) % 0.71/0.88 assert (zenon_L242_ : ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> (~(hskp27)) -> (~(hskp24)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H63 zenon_H1ce zenon_H166 zenon_H4a zenon_H4c zenon_H4e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4f | zenon_intro zenon_H5e ]. % 0.71/0.88 apply (zenon_L25_); trivial. % 0.71/0.88 apply (zenon_L241_); trivial. % 0.71/0.88 (* end of lemma zenon_L242_ *) % 0.71/0.88 assert (zenon_L243_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp15)) -> (~(hskp28)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1c9 zenon_H13a zenon_H12 zenon_H192 zenon_H193 zenon_H1da zenon_H1db zenon_H1dc zenon_H13c zenon_H12c zenon_He1. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1d | zenon_intro zenon_H1ca ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H86 | zenon_intro zenon_H13d ]. % 0.71/0.88 apply (zenon_L170_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H13b ]. % 0.71/0.88 apply (zenon_L148_); trivial. % 0.71/0.88 exact (zenon_H13a zenon_H13b). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H12d | zenon_intro zenon_He2 ]. % 0.71/0.88 exact (zenon_H12c zenon_H12d). % 0.71/0.88 exact (zenon_He1 zenon_He2). % 0.71/0.88 (* end of lemma zenon_L243_ *) % 0.71/0.88 assert (zenon_L244_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a315))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c2_1 (a295))) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp24)) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Haf zenon_H116 zenon_H83 zenon_H30 zenon_H33 zenon_H32 zenon_H191 zenon_H182 zenon_H184 zenon_H183 zenon_H1a2 zenon_H13c zenon_H13a zenon_H193 zenon_H192 zenon_H1dc zenon_H1db zenon_H1da zenon_H12c zenon_H1c9 zenon_H4e zenon_H4c zenon_H166 zenon_H1ce zenon_H63. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.71/0.88 apply (zenon_L242_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_L243_); trivial. % 0.71/0.88 apply (zenon_L152_); trivial. % 0.71/0.88 (* end of lemma zenon_L244_ *) % 0.71/0.88 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a295))/\((~(c2_1 (a295)))/\(~(c3_1 (a295)))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a297))/\((c2_1 (a297))/\(~(c0_1 (a297))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H236 zenon_H237 zenon_H1c0 zenon_Haf zenon_H116 zenon_H83 zenon_H1c9 zenon_H4e zenon_H1ce zenon_H63 zenon_H1a4 zenon_H1cf zenon_H18e zenon_Hfe zenon_H9f zenon_H11d zenon_H168 zenon_H1da zenon_H1db zenon_H1dc zenon_H9a zenon_H1eb zenon_H12e zenon_H175 zenon_Hc6 zenon_H179 zenon_H13c zenon_H141 zenon_H1a2 zenon_H1d4. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H238. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H193. zenon_intro zenon_H239. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.71/0.88 apply (zenon_L180_); trivial. % 0.71/0.88 apply (zenon_L240_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.71/0.88 apply (zenon_L177_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L178_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.88 apply (zenon_L244_); trivial. % 0.71/0.88 apply (zenon_L123_); trivial. % 0.71/0.88 apply (zenon_L154_); trivial. % 0.71/0.88 apply (zenon_L176_); trivial. % 0.71/0.88 apply (zenon_L240_); trivial. % 0.71/0.88 (* end of lemma zenon_L245_ *) % 0.71/0.88 assert (zenon_L246_ : (forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H23a zenon_H12 zenon_H23b zenon_H23c zenon_H23d. % 0.71/0.88 generalize (zenon_H23a (a293)). zenon_intro zenon_H23e. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H23e); [ zenon_intro zenon_H11 | zenon_intro zenon_H23f ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.71/0.88 exact (zenon_H23b zenon_H241). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 0.71/0.88 exact (zenon_H23c zenon_H243). % 0.71/0.88 exact (zenon_H242 zenon_H23d). % 0.71/0.88 (* end of lemma zenon_L246_ *) % 0.71/0.88 assert (zenon_L247_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a325))) -> (c0_1 (a325)) -> (c2_1 (a325)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H244 zenon_H12 zenon_H1f zenon_H20 zenon_H245. % 0.71/0.88 generalize (zenon_H244 (a325)). zenon_intro zenon_H246. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_H11 | zenon_intro zenon_H247 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H26 | zenon_intro zenon_H248 ]. % 0.71/0.88 exact (zenon_H1f zenon_H26). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H25 | zenon_intro zenon_H249 ]. % 0.71/0.88 exact (zenon_H25 zenon_H20). % 0.71/0.88 exact (zenon_H249 zenon_H245). % 0.71/0.88 (* end of lemma zenon_L247_ *) % 0.71/0.88 assert (zenon_L248_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c0_1 (a325)) -> (~(c3_1 (a325))) -> (~(c1_1 (a325))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40))))) -> (~(hskp22)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H20 zenon_H1f zenon_H1e zenon_H12 zenon_H13 zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H23a | zenon_intro zenon_H24b ]. % 0.71/0.88 apply (zenon_L246_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_He ]. % 0.71/0.88 generalize (zenon_H13 (a325)). zenon_intro zenon_H24c. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H11 | zenon_intro zenon_H24d ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24 | zenon_intro zenon_H24e ]. % 0.71/0.88 exact (zenon_H1e zenon_H24). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H245 | zenon_intro zenon_H26 ]. % 0.71/0.88 apply (zenon_L247_); trivial. % 0.71/0.88 exact (zenon_H1f zenon_H26). % 0.71/0.88 exact (zenon_Hd zenon_He). % 0.71/0.88 (* end of lemma zenon_L248_ *) % 0.71/0.88 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hcd zenon_H2e zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H27 zenon_H2a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H20. zenon_intro zenon_Hcf. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H29 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H13 | zenon_intro zenon_H2d ]. % 0.71/0.88 apply (zenon_L248_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1d | zenon_intro zenon_H28 ]. % 0.71/0.88 apply (zenon_L11_); trivial. % 0.71/0.88 exact (zenon_H27 zenon_H28). % 0.71/0.88 apply (zenon_L13_); trivial. % 0.71/0.88 (* end of lemma zenon_L249_ *) % 0.71/0.88 assert (zenon_L250_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_L50_); trivial. % 0.71/0.88 apply (zenon_L249_); trivial. % 0.71/0.88 (* end of lemma zenon_L250_ *) % 0.71/0.88 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H17a zenon_H11d zenon_H11a zenon_H116 zenon_H111 zenon_H109 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hd1 zenon_Hd5 zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L250_); trivial. % 0.71/0.88 apply (zenon_L67_); trivial. % 0.71/0.88 (* end of lemma zenon_L251_ *) % 0.71/0.88 assert (zenon_L252_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp8)) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hd0 zenon_H2e zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H27 zenon_H2a zenon_H1 zenon_H3 zenon_H7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_L4_); trivial. % 0.71/0.88 apply (zenon_L249_); trivial. % 0.71/0.88 (* end of lemma zenon_L252_ *) % 0.71/0.88 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H17a zenon_H11d zenon_H11a zenon_H116 zenon_He3 zenon_H109 zenon_H3f zenon_H111 zenon_Hfe zenon_Hd1 zenon_Hd5 zenon_Hc5 zenon_Hc6 zenon_H127 zenon_H120 zenon_H11e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L72_); trivial. % 0.71/0.88 apply (zenon_L197_); trivial. % 0.71/0.88 (* end of lemma zenon_L253_ *) % 0.71/0.88 assert (zenon_L254_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp13))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp8)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H14c zenon_H11d zenon_H15a zenon_H7 zenon_H1 zenon_Hf zenon_H9 zenon_H27 zenon_H2a zenon_H2e zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H48 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_Hd5 zenon_Hd1 zenon_He3 zenon_H3f zenon_H43 zenon_Hfe zenon_H109 zenon_H111 zenon_H116 zenon_H11a zenon_H17d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_L104_); trivial. % 0.71/0.88 apply (zenon_L251_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_L252_); trivial. % 0.71/0.88 apply (zenon_L253_); trivial. % 0.71/0.88 (* end of lemma zenon_L254_ *) % 0.71/0.88 assert (zenon_L255_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H11d zenon_Hfe zenon_H182 zenon_H183 zenon_H184 zenon_H12c zenon_H18e zenon_Hc5 zenon_Hc6 zenon_H127 zenon_H120 zenon_H11e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L72_); trivial. % 0.71/0.88 apply (zenon_L119_); trivial. % 0.71/0.88 (* end of lemma zenon_L255_ *) % 0.71/0.88 assert (zenon_L256_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H147 zenon_H141 zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_H18e zenon_H184 zenon_H183 zenon_H182 zenon_Hfe zenon_H11d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.88 apply (zenon_L255_); trivial. % 0.71/0.88 apply (zenon_L82_); trivial. % 0.71/0.88 (* end of lemma zenon_L256_ *) % 0.71/0.88 assert (zenon_L257_ : (forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H24f zenon_H12 zenon_H78 zenon_H70 zenon_H71. % 0.71/0.88 generalize (zenon_H24f (a326)). zenon_intro zenon_H250. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H11 | zenon_intro zenon_H251 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H79 | zenon_intro zenon_H74 ]. % 0.71/0.88 apply (zenon_L32_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.71/0.88 exact (zenon_H77 zenon_H70). % 0.71/0.88 exact (zenon_H76 zenon_H71). % 0.71/0.88 (* end of lemma zenon_L257_ *) % 0.71/0.88 assert (zenon_L258_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H208 zenon_H207 zenon_H206 zenon_H12 zenon_H78 zenon_H70 zenon_H71. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H23a | zenon_intro zenon_H253 ]. % 0.71/0.88 apply (zenon_L246_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H205 | zenon_intro zenon_H24f ]. % 0.71/0.88 apply (zenon_L199_); trivial. % 0.71/0.88 apply (zenon_L257_); trivial. % 0.71/0.88 (* end of lemma zenon_L258_ *) % 0.71/0.88 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a326))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H9e zenon_H83 zenon_H6f zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H208 zenon_H207 zenon_H206 zenon_H70 zenon_H71. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.71/0.88 apply (zenon_L30_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_L258_); trivial. % 0.71/0.88 (* end of lemma zenon_L259_ *) % 0.71/0.88 assert (zenon_L260_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a326)) -> (c2_1 (a326)) -> (~(c0_1 (a326))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp24)) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Haf zenon_H83 zenon_H23b zenon_H23c zenon_H23d zenon_H206 zenon_H207 zenon_H208 zenon_H252 zenon_H71 zenon_H70 zenon_H6f zenon_H4e zenon_H4c zenon_H166 zenon_H1ce zenon_H63. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.71/0.88 apply (zenon_L242_); trivial. % 0.71/0.88 apply (zenon_L259_); trivial. % 0.71/0.88 (* end of lemma zenon_L260_ *) % 0.71/0.88 assert (zenon_L261_ : ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (c3_1 (a301)) -> (c2_1 (a301)) -> (forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61)))))) -> (c0_1 (a301)) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp28)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H254 zenon_H94 zenon_H89 zenon_H86 zenon_H88 zenon_H12 zenon_H5 zenon_He1. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H216 | zenon_intro zenon_H255 ]. % 0.71/0.88 generalize (zenon_H216 (a301)). zenon_intro zenon_H256. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H256); [ zenon_intro zenon_H11 | zenon_intro zenon_H257 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H8f | zenon_intro zenon_H258 ]. % 0.71/0.88 exact (zenon_H8f zenon_H88). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H87 | zenon_intro zenon_H98 ]. % 0.71/0.88 apply (zenon_L36_); trivial. % 0.71/0.88 exact (zenon_H98 zenon_H94). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H6 | zenon_intro zenon_He2 ]. % 0.71/0.88 exact (zenon_H5 zenon_H6). % 0.71/0.88 exact (zenon_He1 zenon_He2). % 0.71/0.88 (* end of lemma zenon_L261_ *) % 0.71/0.88 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp28)) -> (~(hskp18)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (~(hskp16)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H99 zenon_H9a zenon_He1 zenon_H5 zenon_H254 zenon_H184 zenon_H183 zenon_H182 zenon_Hb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H86 | zenon_intro zenon_H9d ]. % 0.71/0.88 apply (zenon_L261_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H93 | zenon_intro zenon_Hc ]. % 0.71/0.88 apply (zenon_L116_); trivial. % 0.71/0.88 exact (zenon_Hb zenon_Hc). % 0.71/0.88 (* end of lemma zenon_L262_ *) % 0.71/0.88 assert (zenon_L263_ : (forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (c1_1 (a296)) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H24f zenon_H12 zenon_H108 zenon_Hf3 zenon_Hf4. % 0.71/0.88 generalize (zenon_H24f (a296)). zenon_intro zenon_H259. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H259); [ zenon_intro zenon_H11 | zenon_intro zenon_H25a ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H10f | zenon_intro zenon_Hf7 ]. % 0.71/0.88 exact (zenon_H10f zenon_H108). % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.71/0.88 exact (zenon_Hfa zenon_Hf3). % 0.71/0.88 exact (zenon_Hf9 zenon_Hf4). % 0.71/0.88 (* end of lemma zenon_L263_ *) % 0.71/0.88 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H110 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H208 zenon_H207 zenon_H206. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H23a | zenon_intro zenon_H253 ]. % 0.71/0.88 apply (zenon_L246_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H205 | zenon_intro zenon_H24f ]. % 0.71/0.88 apply (zenon_L199_); trivial. % 0.71/0.88 apply (zenon_L263_); trivial. % 0.71/0.88 (* end of lemma zenon_L264_ *) % 0.71/0.88 assert (zenon_L265_ : ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (c3_1 (a337)) -> (c1_1 (a337)) -> (~(c2_1 (a337))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp28)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H254 zenon_H16d zenon_H16c zenon_H16b zenon_H64 zenon_H12 zenon_H5 zenon_He1. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H216 | zenon_intro zenon_H255 ]. % 0.71/0.88 generalize (zenon_H216 (a337)). zenon_intro zenon_H25b. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H11 | zenon_intro zenon_H25c ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H1bc | zenon_intro zenon_H170 ]. % 0.71/0.88 generalize (zenon_H64 (a337)). zenon_intro zenon_H25d. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_H11 | zenon_intro zenon_H25e ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H25f ]. % 0.71/0.88 exact (zenon_H1bc zenon_H1bf). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H171 | zenon_intro zenon_H173 ]. % 0.71/0.88 exact (zenon_H16b zenon_H171). % 0.71/0.88 exact (zenon_H173 zenon_H16c). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 0.71/0.88 exact (zenon_H173 zenon_H16c). % 0.71/0.88 exact (zenon_H172 zenon_H16d). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H6 | zenon_intro zenon_He2 ]. % 0.71/0.88 exact (zenon_H5 zenon_H6). % 0.71/0.88 exact (zenon_He1 zenon_He2). % 0.71/0.88 (* end of lemma zenon_L265_ *) % 0.71/0.88 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(hskp18)) -> (~(c0_1 (a326))) -> (c2_1 (a326)) -> (c3_1 (a326)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H174 zenon_H116 zenon_H254 zenon_H5 zenon_H6f zenon_H70 zenon_H71 zenon_H252 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H83. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.71/0.88 apply (zenon_L265_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_L258_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 (* end of lemma zenon_L266_ *) % 0.71/0.88 assert (zenon_L267_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H119 zenon_H116 zenon_H252 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H43 zenon_H41 zenon_H3f zenon_He3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_L57_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 (* end of lemma zenon_L267_ *) % 0.71/0.88 assert (zenon_L268_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H11d zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Hc5 zenon_H179 zenon_Haf zenon_H83 zenon_H23b zenon_H23c zenon_H23d zenon_H206 zenon_H207 zenon_H208 zenon_H252 zenon_H4e zenon_H1ce zenon_H63 zenon_H9f zenon_H9a zenon_H184 zenon_H183 zenon_H182 zenon_H254 zenon_Hc3 zenon_H82 zenon_H116 zenon_Hc6 zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H27 zenon_H2a zenon_Hd0. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.71/0.88 apply (zenon_L22_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.88 apply (zenon_L260_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_L49_); trivial. % 0.71/0.88 apply (zenon_L262_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 apply (zenon_L266_); trivial. % 0.71/0.88 apply (zenon_L51_); trivial. % 0.71/0.88 apply (zenon_L267_); trivial. % 0.71/0.88 (* end of lemma zenon_L268_ *) % 0.71/0.88 assert (zenon_L269_ : (forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (c1_1 (a306)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (~(c0_1 (a306))) -> (c3_1 (a306)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H24f zenon_H12 zenon_H120 zenon_H64 zenon_H11e zenon_H127. % 0.71/0.88 generalize (zenon_H24f (a306)). zenon_intro zenon_H260. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_H11 | zenon_intro zenon_H261 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H125 | zenon_intro zenon_H12a ]. % 0.71/0.88 exact (zenon_H125 zenon_H120). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11f | zenon_intro zenon_H12b ]. % 0.71/0.88 apply (zenon_L69_); trivial. % 0.71/0.88 exact (zenon_H12b zenon_H127). % 0.71/0.88 (* end of lemma zenon_L269_ *) % 0.71/0.88 assert (zenon_L270_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (ndr1_0) -> (c1_1 (a306)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (~(c0_1 (a306))) -> (c3_1 (a306)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H208 zenon_H207 zenon_H206 zenon_H12 zenon_H120 zenon_H64 zenon_H11e zenon_H127. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H23a | zenon_intro zenon_H253 ]. % 0.71/0.88 apply (zenon_L246_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H205 | zenon_intro zenon_H24f ]. % 0.71/0.88 apply (zenon_L199_); trivial. % 0.71/0.88 apply (zenon_L269_); trivial. % 0.71/0.88 (* end of lemma zenon_L270_ *) % 0.71/0.88 assert (zenon_L271_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a326)) -> (c2_1 (a326)) -> (~(c0_1 (a326))) -> (ndr1_0) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (c3_1 (a306)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp29)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H82 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H71 zenon_H70 zenon_H6f zenon_H12 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H208 zenon_H207 zenon_H206 zenon_H120 zenon_H11e zenon_H127 zenon_H83 zenon_H80. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.88 apply (zenon_L48_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H64 | zenon_intro zenon_H85 ]. % 0.71/0.88 apply (zenon_L270_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H6e | zenon_intro zenon_H78 ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_L33_); trivial. % 0.71/0.88 exact (zenon_H80 zenon_H81). % 0.71/0.88 (* end of lemma zenon_L271_ *) % 0.71/0.88 assert (zenon_L272_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hd0 zenon_H2a zenon_H27 zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hc6 zenon_H116 zenon_H82 zenon_H127 zenon_H11e zenon_H120 zenon_Hc3 zenon_H254 zenon_H182 zenon_H183 zenon_H184 zenon_H9a zenon_H9f zenon_H63 zenon_H1ce zenon_H4e zenon_H252 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H83 zenon_Haf zenon_H179 zenon_Hc5. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.71/0.88 apply (zenon_L22_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.88 apply (zenon_L260_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_L271_); trivial. % 0.71/0.88 apply (zenon_L262_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 apply (zenon_L266_); trivial. % 0.71/0.88 apply (zenon_L51_); trivial. % 0.71/0.88 (* end of lemma zenon_L272_ *) % 0.71/0.88 assert (zenon_L273_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (c1_1 (a368)) -> (~(c2_1 (a368))) -> (~(c0_1 (a368))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp28)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H9f zenon_Hfe zenon_H9 zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H67 zenon_H66 zenon_H65 zenon_H12 zenon_H3f zenon_He1 zenon_He3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 0.71/0.88 apply (zenon_L75_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H40 | zenon_intro zenon_He2 ]. % 0.71/0.88 exact (zenon_H3f zenon_H40). % 0.71/0.88 exact (zenon_He1 zenon_He2). % 0.71/0.88 apply (zenon_L118_); trivial. % 0.71/0.88 (* end of lemma zenon_L273_ *) % 0.71/0.88 assert (zenon_L274_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp24)) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Haf zenon_H116 zenon_H252 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_He3 zenon_H3f zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_H9 zenon_Hfe zenon_H9f zenon_H4e zenon_H4c zenon_H166 zenon_H1ce zenon_H63. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.71/0.88 apply (zenon_L242_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_L273_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 (* end of lemma zenon_L274_ *) % 0.71/0.88 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> (~(hskp28)) -> (~(hskp18)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(hskp9)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H99 zenon_H210 zenon_He1 zenon_H5 zenon_H254 zenon_H208 zenon_H207 zenon_H206 zenon_H1fb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H88. zenon_intro zenon_H9c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H89. zenon_intro zenon_H94. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H86 | zenon_intro zenon_H213 ]. % 0.71/0.88 apply (zenon_L261_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H205 | zenon_intro zenon_H1fc ]. % 0.71/0.88 apply (zenon_L199_); trivial. % 0.71/0.88 exact (zenon_H1fb zenon_H1fc). % 0.71/0.88 (* end of lemma zenon_L275_ *) % 0.71/0.88 assert (zenon_L276_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(hskp18)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> (~(hskp9)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hca zenon_H116 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H45 zenon_H27 zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_H254 zenon_H5 zenon_H206 zenon_H207 zenon_H208 zenon_H1fb zenon_H210 zenon_H9f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_L81_); trivial. % 0.71/0.88 apply (zenon_L275_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 (* end of lemma zenon_L276_ *) % 0.71/0.88 assert (zenon_L277_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a305))) -> (c0_1 (a305)) -> (c2_1 (a305)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H244 zenon_H12 zenon_H206 zenon_H262 zenon_H208. % 0.71/0.88 generalize (zenon_H244 (a305)). zenon_intro zenon_H263. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H11 | zenon_intro zenon_H264 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H20c | zenon_intro zenon_H265 ]. % 0.71/0.88 exact (zenon_H206 zenon_H20c). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H266 | zenon_intro zenon_H20d ]. % 0.71/0.88 exact (zenon_H266 zenon_H262). % 0.71/0.88 exact (zenon_H20d zenon_H208). % 0.71/0.88 (* end of lemma zenon_L277_ *) % 0.71/0.88 assert (zenon_L278_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (~(c3_1 (a305))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H31 zenon_H12 zenon_H244 zenon_H206 zenon_H208 zenon_H207. % 0.71/0.88 generalize (zenon_H31 (a305)). zenon_intro zenon_H267. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H11 | zenon_intro zenon_H268 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H20b ]. % 0.71/0.88 apply (zenon_L277_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ]. % 0.71/0.88 exact (zenon_H20e zenon_H207). % 0.71/0.88 exact (zenon_H20d zenon_H208). % 0.71/0.88 (* end of lemma zenon_L278_ *) % 0.71/0.88 assert (zenon_L279_ : (~(hskp14)) -> (hskp14) -> False). % 0.71/0.88 do 0 intro. intros zenon_H269 zenon_H26a. % 0.71/0.88 exact (zenon_H269 zenon_H26a). % 0.71/0.88 (* end of lemma zenon_L279_ *) % 0.71/0.88 assert (zenon_L280_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> (~(c3_1 (a305))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9)))))) -> (~(hskp14)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H26b zenon_H32 zenon_H33 zenon_H30 zenon_H207 zenon_H208 zenon_H206 zenon_H12 zenon_H31 zenon_H269. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Hba | zenon_intro zenon_H26c ]. % 0.71/0.88 apply (zenon_L59_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H244 | zenon_intro zenon_H26a ]. % 0.71/0.88 apply (zenon_L278_); trivial. % 0.71/0.88 exact (zenon_H269 zenon_H26a). % 0.71/0.88 (* end of lemma zenon_L280_ *) % 0.71/0.88 assert (zenon_L281_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c0_1 (a315))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a305))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp18)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H174 zenon_H116 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H82 zenon_H30 zenon_H33 zenon_H32 zenon_H206 zenon_H208 zenon_H207 zenon_H269 zenon_H26b zenon_H5 zenon_H254 zenon_H9 zenon_Hfe zenon_H9f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.88 apply (zenon_L265_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.88 apply (zenon_L280_); trivial. % 0.71/0.88 exact (zenon_H80 zenon_H81). % 0.71/0.88 apply (zenon_L118_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 (* end of lemma zenon_L281_ *) % 0.71/0.88 assert (zenon_L282_ : ((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp14)) -> (~(c0_1 (a315))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hcd zenon_H1a2 zenon_H269 zenon_H30 zenon_H33 zenon_H32 zenon_H26b zenon_H1a6 zenon_H1a7 zenon_H1a8. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H20. zenon_intro zenon_Hcf. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.71/0.88 apply (zenon_L59_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Hba | zenon_intro zenon_H26c ]. % 0.71/0.88 apply (zenon_L59_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H244 | zenon_intro zenon_H26a ]. % 0.71/0.88 generalize (zenon_H190 (a325)). zenon_intro zenon_H26d. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H245 | zenon_intro zenon_H23 ]. % 0.71/0.88 apply (zenon_L247_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.71/0.88 exact (zenon_H1f zenon_H26). % 0.71/0.88 exact (zenon_H25 zenon_H20). % 0.71/0.88 exact (zenon_H269 zenon_H26a). % 0.71/0.88 apply (zenon_L125_); trivial. % 0.71/0.88 (* end of lemma zenon_L282_ *) % 0.71/0.88 assert (zenon_L283_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a309))) -> (c0_1 (a309)) -> (c2_1 (a309)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H244 zenon_H12 zenon_H26f zenon_H270 zenon_H271. % 0.71/0.88 generalize (zenon_H244 (a309)). zenon_intro zenon_H272. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H11 | zenon_intro zenon_H273 ]. % 0.71/0.88 exact (zenon_H11 zenon_H12). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.71/0.88 exact (zenon_H26f zenon_H275). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.71/0.88 exact (zenon_H277 zenon_H270). % 0.71/0.88 exact (zenon_H276 zenon_H271). % 0.71/0.88 (* end of lemma zenon_L283_ *) % 0.71/0.88 assert (zenon_L284_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a309)) -> (c0_1 (a309)) -> (~(c3_1 (a309))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H271 zenon_H270 zenon_H26f zenon_H12 zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H23a | zenon_intro zenon_H24b ]. % 0.71/0.88 apply (zenon_L246_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_He ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 exact (zenon_Hd zenon_He). % 0.71/0.88 (* end of lemma zenon_L284_ *) % 0.71/0.88 assert (zenon_L285_ : ((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(hskp4)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H29 zenon_H109 zenon_H127 zenon_H120 zenon_H11e zenon_H3f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H12. zenon_intro zenon_H2b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H14. zenon_intro zenon_H2c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.71/0.88 apply (zenon_L86_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H13 | zenon_intro zenon_H40 ]. % 0.71/0.88 apply (zenon_L10_); trivial. % 0.71/0.88 exact (zenon_H3f zenon_H40). % 0.71/0.88 (* end of lemma zenon_L285_ *) % 0.71/0.88 assert (zenon_L286_ : ((ndr1_0)/\((c0_1 (a309))/\((c2_1 (a309))/\(~(c3_1 (a309)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H278 zenon_H2e zenon_H109 zenon_H3f zenon_H127 zenon_H120 zenon_H11e zenon_H23b zenon_H23c zenon_H23d zenon_H24a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H12. zenon_intro zenon_H279. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H270. zenon_intro zenon_H27a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H271. zenon_intro zenon_H26f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H29 ]. % 0.71/0.88 apply (zenon_L284_); trivial. % 0.71/0.88 apply (zenon_L285_); trivial. % 0.71/0.88 (* end of lemma zenon_L286_ *) % 0.71/0.88 assert (zenon_L287_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a300)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H147 zenon_H11d zenon_H11a zenon_H116 zenon_He3 zenon_H109 zenon_H111 zenon_Hfe zenon_H228 zenon_H3f zenon_H184 zenon_H182 zenon_H183 zenon_H221 zenon_H220 zenon_H21f zenon_Hd1 zenon_Hd5 zenon_Hc5 zenon_Hc6 zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L72_); trivial. % 0.71/0.88 apply (zenon_L223_); trivial. % 0.71/0.88 (* end of lemma zenon_L287_ *) % 0.71/0.88 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> (~(hskp0)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (c3_1 (a300)) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H233 zenon_H14c zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_Hd5 zenon_Hd1 zenon_H183 zenon_H182 zenon_H184 zenon_H3f zenon_H228 zenon_He3 zenon_H43 zenon_Hfe zenon_H109 zenon_H111 zenon_H116 zenon_H11a zenon_H11d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L250_); trivial. % 0.71/0.88 apply (zenon_L222_); trivial. % 0.71/0.88 apply (zenon_L287_); trivial. % 0.71/0.88 (* end of lemma zenon_L288_ *) % 0.71/0.88 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hcd zenon_H2e zenon_H11e zenon_H120 zenon_H127 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H3f zenon_H109. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcd). zenon_intro zenon_H12. zenon_intro zenon_Hce. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_H20. zenon_intro zenon_Hcf. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_Hd | zenon_intro zenon_H29 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.71/0.88 apply (zenon_L86_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H13 | zenon_intro zenon_H40 ]. % 0.71/0.88 apply (zenon_L248_); trivial. % 0.71/0.88 exact (zenon_H3f zenon_H40). % 0.71/0.88 apply (zenon_L285_); trivial. % 0.71/0.88 (* end of lemma zenon_L289_ *) % 0.71/0.88 assert (zenon_L290_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(hskp8)) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hd0 zenon_H2e zenon_H11e zenon_H120 zenon_H127 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H3f zenon_H109 zenon_H1 zenon_H3 zenon_H7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_L4_); trivial. % 0.71/0.88 apply (zenon_L289_); trivial. % 0.71/0.88 (* end of lemma zenon_L290_ *) % 0.71/0.88 assert (zenon_L291_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H14c zenon_H17d zenon_H11a zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H111 zenon_H82 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H22f zenon_H9f zenon_Hd1 zenon_Hd5 zenon_H7 zenon_H1 zenon_H109 zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_H2e zenon_Hd0 zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.88 apply (zenon_L91_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_L290_); trivial. % 0.71/0.88 apply (zenon_L231_); trivial. % 0.71/0.88 (* end of lemma zenon_L291_ *) % 0.71/0.88 assert (zenon_L292_ : ((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H115 zenon_Hd0 zenon_H2e zenon_H24a zenon_H9f zenon_H210 zenon_H1fb zenon_H208 zenon_H207 zenon_H206 zenon_H254 zenon_H111 zenon_H3f zenon_H109 zenon_H11e zenon_H120 zenon_H127 zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_He3 zenon_H23b zenon_H23c zenon_H23d zenon_H252 zenon_H116. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_He6. zenon_intro zenon_H118. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_L194_); trivial. % 0.71/0.88 apply (zenon_L275_); trivial. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 apply (zenon_L289_); trivial. % 0.71/0.88 (* end of lemma zenon_L292_ *) % 0.71/0.88 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H17a zenon_H11d zenon_H11a zenon_Hd0 zenon_H2e zenon_H24a zenon_H210 zenon_H1fb zenon_H208 zenon_H207 zenon_H206 zenon_H254 zenon_H111 zenon_H3f zenon_H109 zenon_He3 zenon_H23b zenon_H23c zenon_H23d zenon_H252 zenon_H116 zenon_Hd1 zenon_Hd5 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_Hc6. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H12. zenon_intro zenon_H17b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_Hd6. zenon_intro zenon_H17c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.88 apply (zenon_L166_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H115 ]. % 0.71/0.88 apply (zenon_L55_); trivial. % 0.71/0.88 apply (zenon_L292_); trivial. % 0.71/0.88 (* end of lemma zenon_L293_ *) % 0.71/0.88 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H233 zenon_H14c zenon_H17d zenon_H11a zenon_H9f zenon_H228 zenon_H82 zenon_H111 zenon_Hd1 zenon_Hd5 zenon_H7 zenon_H1 zenon_H109 zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_H2e zenon_Hd0 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.88 apply (zenon_L91_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_L290_); trivial. % 0.71/0.88 apply (zenon_L234_); trivial. % 0.71/0.88 (* end of lemma zenon_L294_ *) % 0.71/0.88 assert (zenon_L295_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H82 zenon_H127 zenon_H11e zenon_H120 zenon_H206 zenon_H207 zenon_H208 zenon_H23b zenon_H23c zenon_H23d zenon_H252 zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H80. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.88 apply (zenon_L270_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.88 apply (zenon_L90_); trivial. % 0.71/0.88 exact (zenon_H80 zenon_H81). % 0.71/0.88 (* end of lemma zenon_L295_ *) % 0.71/0.88 assert (zenon_L296_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> (~(hskp18)) -> (~(hskp28)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a306)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H9f zenon_H9a zenon_Hb zenon_H184 zenon_H183 zenon_H182 zenon_H5 zenon_He1 zenon_H254 zenon_H252 zenon_H127 zenon_H11e zenon_H120 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H82. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.88 apply (zenon_L295_); trivial. % 0.71/0.88 apply (zenon_L262_); trivial. % 0.71/0.88 (* end of lemma zenon_L296_ *) % 0.71/0.88 assert (zenon_L297_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a306)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hd0 zenon_H2e zenon_H24a zenon_H27 zenon_H2a zenon_H9f zenon_H9a zenon_Hb zenon_H184 zenon_H183 zenon_H182 zenon_H254 zenon_H252 zenon_H127 zenon_H11e zenon_H120 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H116. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.89 apply (zenon_L296_); trivial. % 0.71/0.89 apply (zenon_L264_); trivial. % 0.71/0.89 apply (zenon_L249_); trivial. % 0.71/0.89 (* end of lemma zenon_L297_ *) % 0.71/0.89 assert (zenon_L298_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(hskp18)) -> (~(hskp28)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a368))) -> (~(c2_1 (a368))) -> (c1_1 (a368)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H9f zenon_H210 zenon_H1fb zenon_H208 zenon_H207 zenon_H206 zenon_H5 zenon_He1 zenon_H254 zenon_H12 zenon_H65 zenon_H66 zenon_H67 zenon_H14d zenon_H14e zenon_H14f zenon_H82. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.89 apply (zenon_L134_); trivial. % 0.71/0.89 apply (zenon_L275_); trivial. % 0.71/0.89 (* end of lemma zenon_L298_ *) % 0.71/0.89 assert (zenon_L299_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(hskp18)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> (~(hskp9)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H9e zenon_H116 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H254 zenon_H5 zenon_H206 zenon_H207 zenon_H208 zenon_H1fb zenon_H210 zenon_H9f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.89 apply (zenon_L298_); trivial. % 0.71/0.89 apply (zenon_L264_); trivial. % 0.71/0.89 (* end of lemma zenon_L299_ *) % 0.71/0.89 assert (zenon_L300_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(hskp18)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> (~(hskp9)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp24)) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Haf zenon_H116 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H254 zenon_H5 zenon_H206 zenon_H207 zenon_H208 zenon_H1fb zenon_H210 zenon_H9f zenon_H4e zenon_H4c zenon_H166 zenon_H1ce zenon_H63. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.71/0.89 apply (zenon_L242_); trivial. % 0.71/0.89 apply (zenon_L299_); trivial. % 0.71/0.89 (* end of lemma zenon_L300_ *) % 0.71/0.89 assert (zenon_L301_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp28)) -> (~(hskp18)) -> (~(c2_1 (a337))) -> (c1_1 (a337)) -> (c3_1 (a337)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H82 zenon_He1 zenon_H5 zenon_H16b zenon_H16c zenon_H16d zenon_H254 zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H80. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.89 apply (zenon_L265_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.89 apply (zenon_L90_); trivial. % 0.71/0.89 exact (zenon_H80 zenon_H81). % 0.71/0.89 (* end of lemma zenon_L301_ *) % 0.71/0.89 assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (~(hskp18)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> (~(hskp9)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H174 zenon_H116 zenon_H252 zenon_H23d zenon_H23c zenon_H23b zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H5 zenon_H254 zenon_H206 zenon_H207 zenon_H208 zenon_H1fb zenon_H210 zenon_H9f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.89 apply (zenon_L301_); trivial. % 0.71/0.89 apply (zenon_L275_); trivial. % 0.71/0.89 apply (zenon_L264_); trivial. % 0.71/0.89 (* end of lemma zenon_L302_ *) % 0.71/0.89 assert (zenon_L303_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_H41 zenon_H156 zenon_H158 zenon_Hc6 zenon_Hc5. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.89 apply (zenon_L96_); trivial. % 0.71/0.89 apply (zenon_L249_); trivial. % 0.71/0.89 (* end of lemma zenon_L303_ *) % 0.71/0.89 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H13e zenon_H11d zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L303_); trivial. % 0.71/0.89 apply (zenon_L98_); trivial. % 0.71/0.89 (* end of lemma zenon_L304_ *) % 0.71/0.89 assert (zenon_L305_ : ((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp8)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H17e zenon_H17d zenon_H11a zenon_H179 zenon_H175 zenon_H168 zenon_Hd1 zenon_Hd5 zenon_H7 zenon_H1 zenon_H2a zenon_H27 zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_H2e zenon_Hd0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.71/0.89 apply (zenon_L252_); trivial. % 0.71/0.89 apply (zenon_L111_); trivial. % 0.71/0.89 (* end of lemma zenon_L305_ *) % 0.71/0.89 assert (zenon_L306_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a308))/\((~(c1_1 (a308)))/\(~(c2_1 (a308))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a323)))/\((~(c2_1 (a323)))/\(~(c3_1 (a323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(~(c0_1 X48))))))\/((hskp0)\/(hskp17))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H181 zenon_H17d zenon_H11a zenon_H179 zenon_H175 zenon_H168 zenon_Hd1 zenon_Hd5 zenon_H7 zenon_H11d zenon_H12e zenon_H1 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0 zenon_H13a zenon_H13c zenon_H141. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L303_); trivial. % 0.71/0.89 apply (zenon_L74_); trivial. % 0.71/0.89 apply (zenon_L304_); trivial. % 0.71/0.89 apply (zenon_L305_); trivial. % 0.71/0.89 (* end of lemma zenon_L306_ *) % 0.71/0.89 assert (zenon_L307_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H11d zenon_Hfe zenon_H182 zenon_H183 zenon_H184 zenon_H12c zenon_H18e zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L303_); trivial. % 0.71/0.89 apply (zenon_L119_); trivial. % 0.71/0.89 (* end of lemma zenon_L307_ *) % 0.71/0.89 assert (zenon_L308_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_H182 zenon_H183 zenon_H184 zenon_H1a2 zenon_H193 zenon_H192 zenon_H191 zenon_H15d zenon_H15e zenon_H15f zenon_H1a4 zenon_Hc6 zenon_Hc5. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.71/0.89 apply (zenon_L22_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.89 apply (zenon_L44_); trivial. % 0.71/0.89 apply (zenon_L159_); trivial. % 0.71/0.89 apply (zenon_L249_); trivial. % 0.71/0.89 (* end of lemma zenon_L308_ *) % 0.71/0.89 assert (zenon_L309_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H181 zenon_H11d zenon_Hfe zenon_H182 zenon_H183 zenon_H184 zenon_H18e zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0 zenon_H13a zenon_H13c zenon_H1a2 zenon_H193 zenon_H192 zenon_H191 zenon_H1a4 zenon_H141. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_L307_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L303_); trivial. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L308_); trivial. % 0.71/0.89 apply (zenon_L119_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L308_); trivial. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 (* end of lemma zenon_L309_ *) % 0.71/0.89 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H13e zenon_H11d zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H184 zenon_H183 zenon_H182 zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H127 zenon_H120 zenon_H11e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L72_); trivial. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 (* end of lemma zenon_L310_ *) % 0.71/0.89 assert (zenon_L311_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H147 zenon_H141 zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_Hc6 zenon_Hc5 zenon_H18e zenon_H184 zenon_H183 zenon_H182 zenon_Hfe zenon_H11d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_L255_); trivial. % 0.71/0.89 apply (zenon_L310_); trivial. % 0.71/0.89 (* end of lemma zenon_L311_ *) % 0.71/0.89 assert (zenon_L312_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hc5 zenon_Hc6 zenon_H158 zenon_H156 zenon_H41 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L303_); trivial. % 0.71/0.89 apply (zenon_L126_); trivial. % 0.71/0.89 (* end of lemma zenon_L312_ *) % 0.71/0.89 assert (zenon_L313_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(hskp8)) -> (~(hskp13)) -> ((hskp8)\/((hskp13)\/(hskp18))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H119 zenon_Hd0 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H269 zenon_H26b zenon_H1 zenon_H3 zenon_H7. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.89 apply (zenon_L4_); trivial. % 0.71/0.89 apply (zenon_L282_); trivial. % 0.71/0.89 (* end of lemma zenon_L313_ *) % 0.71/0.89 assert (zenon_L314_ : ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp21))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (c2_1 (a309)) -> (c0_1 (a309)) -> (~(c3_1 (a309))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H27b zenon_H23d zenon_H23c zenon_H23b zenon_H271 zenon_H270 zenon_H26f zenon_H12 zenon_H1ed. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H23a | zenon_intro zenon_H27c ]. % 0.71/0.89 apply (zenon_L246_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H244 | zenon_intro zenon_H1ee ]. % 0.71/0.89 apply (zenon_L283_); trivial. % 0.71/0.89 exact (zenon_H1ed zenon_H1ee). % 0.71/0.89 (* end of lemma zenon_L314_ *) % 0.71/0.89 assert (zenon_L315_ : ((ndr1_0)/\((c0_1 (a309))/\((c2_1 (a309))/\(~(c3_1 (a309)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp21))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H278 zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H23b zenon_H23c zenon_H23d zenon_H27b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H12. zenon_intro zenon_H279. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H270. zenon_intro zenon_H27a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H271. zenon_intro zenon_H26f. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ff ]. % 0.71/0.89 apply (zenon_L314_); trivial. % 0.71/0.89 apply (zenon_L186_); trivial. % 0.71/0.89 (* end of lemma zenon_L315_ *) % 0.71/0.89 assert (zenon_L316_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a309))/\((c2_1 (a309))/\(~(c3_1 (a309))))))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> ((hskp8)\/((hskp13)\/(hskp18))) -> (~(hskp13)) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp14))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H27d zenon_H23b zenon_H23c zenon_H23d zenon_H27b zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H1ef zenon_H7 zenon_H3 zenon_H1 zenon_H26b zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_Hd0 zenon_H11d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H269 | zenon_intro zenon_H278 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L187_); trivial. % 0.71/0.89 apply (zenon_L313_); trivial. % 0.71/0.89 apply (zenon_L315_); trivial. % 0.71/0.89 (* end of lemma zenon_L316_ *) % 0.71/0.89 assert (zenon_L317_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H100 zenon_H12 zenon_H27e zenon_H27f zenon_H280. % 0.71/0.89 generalize (zenon_H100 (a291)). zenon_intro zenon_H281. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H11 | zenon_intro zenon_H282 ]. % 0.71/0.89 exact (zenon_H11 zenon_H12). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ]. % 0.71/0.89 exact (zenon_H27e zenon_H284). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ]. % 0.71/0.89 exact (zenon_H27f zenon_H286). % 0.71/0.89 exact (zenon_H285 zenon_H280). % 0.71/0.89 (* end of lemma zenon_L317_ *) % 0.71/0.89 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a326)) -> (c2_1 (a326)) -> (~(c0_1 (a326))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hca zenon_H111 zenon_Hc3 zenon_H71 zenon_H70 zenon_H6f zenon_H27e zenon_H27f zenon_H280. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.71/0.89 apply (zenon_L45_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.71/0.89 apply (zenon_L140_); trivial. % 0.71/0.89 apply (zenon_L31_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.89 apply (zenon_L31_); trivial. % 0.71/0.89 apply (zenon_L317_); trivial. % 0.71/0.89 (* end of lemma zenon_L318_ *) % 0.71/0.89 assert (zenon_L319_ : ((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hc7 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_Hb zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H70. zenon_intro zenon_Hc9. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H71. zenon_intro zenon_H6f. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.89 apply (zenon_L44_); trivial. % 0.71/0.89 apply (zenon_L318_); trivial. % 0.71/0.89 (* end of lemma zenon_L319_ *) % 0.71/0.89 assert (zenon_L320_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp16)) -> (~(hskp5)) -> (~(hskp18)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_Hb zenon_H9 zenon_H5 zenon_H48 zenon_H2e. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H46 | zenon_intro zenon_Hc7 ]. % 0.71/0.89 apply (zenon_L22_); trivial. % 0.71/0.89 apply (zenon_L319_); trivial. % 0.71/0.89 (* end of lemma zenon_L320_ *) % 0.71/0.89 assert (zenon_L321_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.71/0.89 apply (zenon_L320_); trivial. % 0.71/0.89 apply (zenon_L51_); trivial. % 0.71/0.89 (* end of lemma zenon_L321_ *) % 0.71/0.89 assert (zenon_L322_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H11d zenon_H12e zenon_H1 zenon_H12c zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_L74_); trivial. % 0.71/0.89 (* end of lemma zenon_L322_ *) % 0.71/0.89 assert (zenon_L323_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> (~(c0_1 (a315))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H110 zenon_H111 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H9 zenon_H30 zenon_H33 zenon_H32 zenon_Hfe zenon_H27e zenon_H27f zenon_H280. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.71/0.89 apply (zenon_L45_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.71/0.89 apply (zenon_L140_); trivial. % 0.71/0.89 apply (zenon_L62_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.89 apply (zenon_L62_); trivial. % 0.71/0.89 apply (zenon_L317_); trivial. % 0.71/0.89 (* end of lemma zenon_L323_ *) % 0.71/0.89 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hca zenon_H116 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hfe zenon_H9 zenon_Hc3 zenon_H43 zenon_H41 zenon_H3f zenon_H33 zenon_H32 zenon_H30 zenon_He3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.89 apply (zenon_L57_); trivial. % 0.71/0.89 apply (zenon_L323_); trivial. % 0.71/0.89 (* end of lemma zenon_L324_ *) % 0.71/0.89 assert (zenon_L325_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_H116 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hfe zenon_H9 zenon_Hc3 zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_Haf zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H82 zenon_H45 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_Hae. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.89 apply (zenon_L80_); trivial. % 0.71/0.89 apply (zenon_L324_); trivial. % 0.71/0.89 (* end of lemma zenon_L325_ *) % 0.71/0.89 assert (zenon_L326_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H13e zenon_H11d zenon_H116 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_L325_); trivial. % 0.71/0.89 (* end of lemma zenon_L326_ *) % 0.71/0.89 assert (zenon_L327_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H141 zenon_H116 zenon_Hfe zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_L322_); trivial. % 0.71/0.89 apply (zenon_L326_); trivial. % 0.71/0.89 (* end of lemma zenon_L327_ *) % 0.71/0.89 assert (zenon_L328_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_He5 zenon_H12 zenon_H11e zenon_H64 zenon_H120 zenon_H127. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.71/0.89 apply (zenon_L45_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.71/0.89 apply (zenon_L140_); trivial. % 0.71/0.89 apply (zenon_L70_); trivial. % 0.71/0.89 (* end of lemma zenon_L328_ *) % 0.71/0.89 assert (zenon_L329_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (~(hskp29)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_He5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H33 zenon_H32 zenon_H30 zenon_H12 zenon_H2f zenon_H80. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.89 apply (zenon_L328_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.89 apply (zenon_L15_); trivial. % 0.71/0.89 exact (zenon_H80 zenon_H81). % 0.71/0.89 (* end of lemma zenon_L329_ *) % 0.71/0.89 assert (zenon_L330_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (~(hskp29)) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H111 zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H80 zenon_H2f zenon_H30 zenon_H32 zenon_H33 zenon_H11e zenon_H120 zenon_H127 zenon_H82 zenon_H12 zenon_H27e zenon_H27f zenon_H280. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.89 apply (zenon_L329_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.89 apply (zenon_L192_); trivial. % 0.71/0.89 apply (zenon_L317_); trivial. % 0.71/0.89 (* end of lemma zenon_L330_ *) % 0.71/0.89 assert (zenon_L331_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H119 zenon_Hc6 zenon_Hfe zenon_H9 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_Haf zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H82 zenon_H45 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_Hae. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.89 apply (zenon_L80_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.71/0.89 apply (zenon_L330_); trivial. % 0.71/0.89 exact (zenon_H27 zenon_H28). % 0.71/0.89 apply (zenon_L118_); trivial. % 0.71/0.89 (* end of lemma zenon_L331_ *) % 0.71/0.89 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H13e zenon_H11d zenon_Hfe zenon_H127 zenon_H120 zenon_H11e zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_L331_); trivial. % 0.71/0.89 (* end of lemma zenon_L332_ *) % 0.71/0.89 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H147 zenon_H141 zenon_Hfe zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_L322_); trivial. % 0.71/0.89 apply (zenon_L332_); trivial. % 0.71/0.89 (* end of lemma zenon_L333_ *) % 0.71/0.89 assert (zenon_L334_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H11d zenon_Hfe zenon_H182 zenon_H183 zenon_H184 zenon_H12c zenon_H18e zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_L119_); trivial. % 0.71/0.89 (* end of lemma zenon_L334_ *) % 0.71/0.89 assert (zenon_L335_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H141 zenon_H116 zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H13c zenon_H13a zenon_Hd0 zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H18e zenon_H184 zenon_H183 zenon_H182 zenon_Hfe zenon_H11d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_L334_); trivial. % 0.71/0.89 apply (zenon_L326_); trivial. % 0.71/0.89 (* end of lemma zenon_L335_ *) % 0.71/0.89 assert (zenon_L336_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28)))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_H190 zenon_H27e zenon_H27f zenon_H280. % 0.71/0.89 generalize (zenon_Hb0 (a291)). zenon_intro zenon_H287. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_H11 | zenon_intro zenon_H288 ]. % 0.71/0.89 exact (zenon_H11 zenon_H12). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H289 | zenon_intro zenon_H283 ]. % 0.71/0.89 generalize (zenon_H190 (a291)). zenon_intro zenon_H28a. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H28a); [ zenon_intro zenon_H11 | zenon_intro zenon_H28b ]. % 0.71/0.89 exact (zenon_H11 zenon_H12). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H284 | zenon_intro zenon_H28c ]. % 0.71/0.89 exact (zenon_H27e zenon_H284). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H286 | zenon_intro zenon_H28d ]. % 0.71/0.89 exact (zenon_H27f zenon_H286). % 0.71/0.89 exact (zenon_H28d zenon_H289). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ]. % 0.71/0.89 exact (zenon_H27f zenon_H286). % 0.71/0.89 exact (zenon_H285 zenon_H280). % 0.71/0.89 (* end of lemma zenon_L336_ *) % 0.71/0.89 assert (zenon_L337_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2)))))) -> (ndr1_0) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H280 zenon_H27f zenon_H27e zenon_Hb0 zenon_H12 zenon_H1a6 zenon_H1a7 zenon_H1a8. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.71/0.89 apply (zenon_L59_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.71/0.89 apply (zenon_L336_); trivial. % 0.71/0.89 apply (zenon_L125_); trivial. % 0.71/0.89 (* end of lemma zenon_L337_ *) % 0.71/0.89 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(hskp5)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H110 zenon_Hc3 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H27e zenon_H27f zenon_H280 zenon_H1a2 zenon_Hfe zenon_H32 zenon_H33 zenon_H30 zenon_H9. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.71/0.89 apply (zenon_L337_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.71/0.89 apply (zenon_L59_); trivial. % 0.71/0.89 apply (zenon_L62_); trivial. % 0.71/0.89 (* end of lemma zenon_L338_ *) % 0.71/0.89 assert (zenon_L339_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H119 zenon_H116 zenon_Hc3 zenon_H9 zenon_Hfe zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H43 zenon_H41 zenon_H3f zenon_He3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.89 apply (zenon_L57_); trivial. % 0.71/0.89 apply (zenon_L338_); trivial. % 0.71/0.89 (* end of lemma zenon_L339_ *) % 0.71/0.89 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a297))/\((c2_1 (a297))/\(~(c0_1 (a297)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((hskp3)\/(hskp2))) -> (~(hskp2)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1d3 zenon_H14c zenon_H148 zenon_H145 zenon_H27 zenon_H3f zenon_H43. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.71/0.89 apply (zenon_L92_); trivial. % 0.71/0.89 (* end of lemma zenon_L340_ *) % 0.71/0.89 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> (~(hskp3)) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a307))) -> (~(c3_1 (a307))) -> (c2_1 (a307)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H119 zenon_H179 zenon_H45 zenon_H27 zenon_H191 zenon_H192 zenon_H193 zenon_H1c0 zenon_H13a zenon_H1a2 zenon_H15d zenon_H15e zenon_H15f zenon_H1 zenon_H168. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.71/0.89 apply (zenon_L107_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hba | zenon_intro zenon_H1a3 ]. % 0.71/0.89 apply (zenon_L59_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H190 | zenon_intro zenon_H19a ]. % 0.71/0.89 apply (zenon_L120_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H31 | zenon_intro zenon_H1c1 ]. % 0.71/0.89 apply (zenon_L15_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H10b | zenon_intro zenon_H13b ]. % 0.71/0.89 apply (zenon_L143_); trivial. % 0.71/0.89 exact (zenon_H13a zenon_H13b). % 0.71/0.89 exact (zenon_H27 zenon_H28). % 0.71/0.89 (* end of lemma zenon_L341_ *) % 0.71/0.89 assert (zenon_L342_ : ((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H17e zenon_H11d zenon_H179 zenon_H191 zenon_H192 zenon_H193 zenon_H1c0 zenon_H13a zenon_H1a2 zenon_H1 zenon_H168 zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_L341_); trivial. % 0.71/0.89 (* end of lemma zenon_L342_ *) % 0.71/0.89 assert (zenon_L343_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H181 zenon_H179 zenon_H191 zenon_H192 zenon_H193 zenon_H1c0 zenon_H1a2 zenon_H168 zenon_H11d zenon_H12e zenon_H1 zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_Hd0 zenon_H13a zenon_H13c zenon_H41 zenon_H158 zenon_H141. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.71/0.89 apply (zenon_L322_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_L98_); trivial. % 0.71/0.89 apply (zenon_L342_); trivial. % 0.71/0.89 (* end of lemma zenon_L343_ *) % 0.71/0.89 assert (zenon_L344_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_He5 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H80. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.89 apply (zenon_L328_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.89 apply (zenon_L90_); trivial. % 0.71/0.89 exact (zenon_H80 zenon_H81). % 0.71/0.89 (* end of lemma zenon_L344_ *) % 0.71/0.89 assert (zenon_L345_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (~(hskp29)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H111 zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H80 zenon_H14d zenon_H14e zenon_H14f zenon_H11e zenon_H120 zenon_H127 zenon_H82 zenon_H12 zenon_H27e zenon_H27f zenon_H280. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.89 apply (zenon_L344_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.89 apply (zenon_L227_); trivial. % 0.71/0.89 apply (zenon_L317_); trivial. % 0.71/0.89 (* end of lemma zenon_L345_ *) % 0.71/0.89 assert (zenon_L346_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_Haf zenon_H9f zenon_H9a zenon_Hb zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.90 apply (zenon_L136_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.90 apply (zenon_L345_); trivial. % 0.71/0.90 apply (zenon_L40_); trivial. % 0.71/0.90 apply (zenon_L43_); trivial. % 0.71/0.90 (* end of lemma zenon_L346_ *) % 0.71/0.90 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H147 zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L346_); trivial. % 0.71/0.90 apply (zenon_L126_); trivial. % 0.71/0.90 (* end of lemma zenon_L347_ *) % 0.71/0.90 assert (zenon_L348_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H14c zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_H11d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H193 zenon_H192 zenon_H191 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H9a zenon_H9f zenon_Haf zenon_H158 zenon_Hc6 zenon_H179 zenon_H175 zenon_H1 zenon_H168 zenon_H181. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.90 apply (zenon_L165_); trivial. % 0.71/0.90 apply (zenon_L347_); trivial. % 0.71/0.90 (* end of lemma zenon_L348_ *) % 0.71/0.90 assert (zenon_L349_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H11d zenon_H116 zenon_Hc3 zenon_H9 zenon_Hfe zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H1fb zenon_H1fd zenon_H200 zenon_H204. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L187_); trivial. % 0.71/0.90 apply (zenon_L339_); trivial. % 0.71/0.90 (* end of lemma zenon_L349_ *) % 0.71/0.90 assert (zenon_L350_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc3 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H27e zenon_H27f zenon_H280 zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H12 zenon_H11e zenon_H64 zenon_H120 zenon_H127. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.71/0.90 apply (zenon_L337_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.71/0.90 apply (zenon_L59_); trivial. % 0.71/0.90 apply (zenon_L70_); trivial. % 0.71/0.90 (* end of lemma zenon_L350_ *) % 0.71/0.90 assert (zenon_L351_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp4)) -> (~(hskp28)) -> False). % 0.71/0.90 do 0 intro. intros zenon_He3 zenon_H80 zenon_H12 zenon_H30 zenon_H32 zenon_H33 zenon_Hc3 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H27e zenon_H27f zenon_H280 zenon_H1a2 zenon_H11e zenon_H120 zenon_H127 zenon_H82 zenon_H3f zenon_He1. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.90 apply (zenon_L350_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.90 apply (zenon_L15_); trivial. % 0.71/0.90 exact (zenon_H80 zenon_H81). % 0.71/0.90 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H40 | zenon_intro zenon_He2 ]. % 0.71/0.90 exact (zenon_H3f zenon_H40). % 0.71/0.90 exact (zenon_He1 zenon_He2). % 0.71/0.90 (* end of lemma zenon_L351_ *) % 0.71/0.90 assert (zenon_L352_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> (~(hskp21)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (ndr1_0) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp4)) -> (~(hskp28)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H9f zenon_H22f zenon_H1ed zenon_H82 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_H32 zenon_H33 zenon_H30 zenon_H12 zenon_H11e zenon_H120 zenon_H127 zenon_Hc3 zenon_H3f zenon_He1 zenon_He3. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.90 apply (zenon_L351_); trivial. % 0.71/0.90 apply (zenon_L229_); trivial. % 0.71/0.90 (* end of lemma zenon_L352_ *) % 0.71/0.90 assert (zenon_L353_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a305))/\((c2_1 (a305))/\(~(c3_1 (a305))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H232 zenon_H210 zenon_H11d zenon_H116 zenon_Hc3 zenon_H9 zenon_Hfe zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H43 zenon_H3f zenon_He3 zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H1fb zenon_H200 zenon_H204 zenon_H82 zenon_H22f zenon_H9f zenon_H14c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.90 apply (zenon_L349_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L187_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.90 apply (zenon_L352_); trivial. % 0.71/0.90 apply (zenon_L338_); trivial. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 apply (zenon_L200_); trivial. % 0.71/0.90 (* end of lemma zenon_L353_ *) % 0.71/0.90 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp4)) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H110 zenon_H111 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H3f zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_H27e zenon_H27f zenon_H280. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.90 apply (zenon_L205_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.90 apply (zenon_L204_); trivial. % 0.71/0.90 apply (zenon_L317_); trivial. % 0.71/0.90 (* end of lemma zenon_L354_ *) % 0.71/0.90 assert (zenon_L355_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (~(hskp8)) -> (c3_1 (a299)) -> (c0_1 (a299)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hc6 zenon_H116 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_H228 zenon_H3f zenon_H221 zenon_H220 zenon_H21f zenon_Hc3 zenon_H214 zenon_H1 zenon_H1a8 zenon_H1a7 zenon_H9a zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1eb. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.90 apply (zenon_L174_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.90 apply (zenon_L202_); trivial. % 0.71/0.90 apply (zenon_L354_); trivial. % 0.71/0.90 (* end of lemma zenon_L355_ *) % 0.71/0.90 assert (zenon_L356_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a299))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (~(hskp8)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> (~(hskp4)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H11d zenon_H9 zenon_Hfe zenon_H1a6 zenon_H1a2 zenon_H43 zenon_H41 zenon_He3 zenon_H1eb zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H9a zenon_H1a7 zenon_H1a8 zenon_H1 zenon_H214 zenon_Hc3 zenon_H21f zenon_H220 zenon_H221 zenon_H3f zenon_H228 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_H116 zenon_Hc6. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L355_); trivial. % 0.71/0.90 apply (zenon_L339_); trivial. % 0.71/0.90 (* end of lemma zenon_L356_ *) % 0.71/0.90 assert (zenon_L357_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H119 zenon_H116 zenon_H9 zenon_Hfe zenon_He3 zenon_H3f zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H82 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_H9f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.90 apply (zenon_L351_); trivial. % 0.71/0.90 apply (zenon_L232_); trivial. % 0.71/0.90 apply (zenon_L338_); trivial. % 0.71/0.90 (* end of lemma zenon_L357_ *) % 0.71/0.90 assert (zenon_L358_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(hskp4)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H110 zenon_Hc3 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H27e zenon_H27f zenon_H280 zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_H3f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.71/0.90 apply (zenon_L337_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.71/0.90 apply (zenon_L59_); trivial. % 0.71/0.90 apply (zenon_L204_); trivial. % 0.71/0.90 (* end of lemma zenon_L358_ *) % 0.71/0.90 assert (zenon_L359_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H119 zenon_H116 zenon_Hc3 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H43 zenon_H41 zenon_H3f zenon_He3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.90 apply (zenon_L57_); trivial. % 0.71/0.90 apply (zenon_L358_); trivial. % 0.71/0.90 (* end of lemma zenon_L359_ *) % 0.71/0.90 assert (zenon_L360_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H11d zenon_H116 zenon_Hc3 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H182 zenon_H183 zenon_H184 zenon_H9a. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L178_); trivial. % 0.71/0.90 apply (zenon_L359_); trivial. % 0.71/0.90 (* end of lemma zenon_L360_ *) % 0.71/0.90 assert (zenon_L361_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c0_1 (a315))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H82 zenon_H127 zenon_H120 zenon_H11e zenon_H30 zenon_H33 zenon_H32 zenon_H1a2 zenon_H280 zenon_H27f zenon_H27e zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_Hc3 zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H80. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.71/0.90 apply (zenon_L350_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.71/0.90 apply (zenon_L90_); trivial. % 0.71/0.90 exact (zenon_H80 zenon_H81). % 0.71/0.90 (* end of lemma zenon_L361_ *) % 0.71/0.90 assert (zenon_L362_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H119 zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_H11e zenon_H120 zenon_H127 zenon_Hc3 zenon_H22f zenon_H9f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ff ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.90 apply (zenon_L361_); trivial. % 0.71/0.90 apply (zenon_L229_); trivial. % 0.71/0.90 apply (zenon_L186_); trivial. % 0.71/0.90 (* end of lemma zenon_L362_ *) % 0.71/0.90 assert (zenon_L363_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H14c zenon_H11d zenon_H82 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_H22f zenon_H9f zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H1fb zenon_H1fd zenon_H200 zenon_H204 zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.90 apply (zenon_L91_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L187_); trivial. % 0.71/0.90 apply (zenon_L362_); trivial. % 0.71/0.90 (* end of lemma zenon_L363_ *) % 0.71/0.90 assert (zenon_L364_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a305))/\((c2_1 (a305))/\(~(c3_1 (a305))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp9)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H232 zenon_H210 zenon_H43 zenon_H3f zenon_H14f zenon_H14e zenon_H14d zenon_H12 zenon_H204 zenon_H200 zenon_H1fb zenon_H1da zenon_H1db zenon_H1dc zenon_H1ef zenon_H9f zenon_H22f zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H82 zenon_H11d zenon_H14c. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.71/0.90 apply (zenon_L363_); trivial. % 0.71/0.90 apply (zenon_L200_); trivial. % 0.71/0.90 (* end of lemma zenon_L364_ *) % 0.71/0.90 assert (zenon_L365_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H110 zenon_H9f zenon_H82 zenon_H14f zenon_H14e zenon_H14d zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_H11e zenon_H120 zenon_H127 zenon_Hc3 zenon_H228 zenon_H3f zenon_H221 zenon_H220 zenon_H21f zenon_H27e zenon_H27f zenon_H280 zenon_H111. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.71/0.90 apply (zenon_L344_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.71/0.90 apply (zenon_L204_); trivial. % 0.71/0.90 apply (zenon_L317_); trivial. % 0.71/0.90 apply (zenon_L232_); trivial. % 0.71/0.90 (* end of lemma zenon_L365_ *) % 0.71/0.90 assert (zenon_L366_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H119 zenon_H9f zenon_H228 zenon_H3f zenon_H221 zenon_H220 zenon_H21f zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H14d zenon_H14e zenon_H14f zenon_H82. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.71/0.90 apply (zenon_L361_); trivial. % 0.71/0.90 apply (zenon_L232_); trivial. % 0.71/0.90 (* end of lemma zenon_L366_ *) % 0.71/0.90 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> (~(c2_1 (a299))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (~(hskp8)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H233 zenon_H14c zenon_H11d zenon_H1a6 zenon_H1a2 zenon_H1eb zenon_H1dc zenon_H1db zenon_H1da zenon_H9a zenon_H1a7 zenon_H1a8 zenon_H1 zenon_H214 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_H228 zenon_Hc3 zenon_H82 zenon_H9f zenon_H116 zenon_Hc6 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.90 apply (zenon_L91_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.71/0.90 apply (zenon_L174_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.71/0.90 apply (zenon_L202_); trivial. % 0.71/0.90 apply (zenon_L365_); trivial. % 0.71/0.90 apply (zenon_L366_); trivial. % 0.71/0.90 (* end of lemma zenon_L367_ *) % 0.71/0.90 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H233 zenon_H14c zenon_H11d zenon_H9f zenon_H228 zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_H82 zenon_H1da zenon_H1db zenon_H1dc zenon_H182 zenon_H183 zenon_H184 zenon_H9a zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.71/0.90 apply (zenon_L91_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.71/0.90 apply (zenon_L178_); trivial. % 0.71/0.90 apply (zenon_L366_); trivial. % 0.71/0.90 (* end of lemma zenon_L368_ *) % 0.75/0.90 assert (zenon_L369_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> (c1_1 (a296)) -> (c3_1 (a296)) -> (c2_1 (a296)) -> (ndr1_0) -> False). % 0.75/0.90 do 0 intro. intros zenon_Hc3 zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_He5 zenon_H1ce zenon_H166 zenon_H108 zenon_Hf4 zenon_Hf3 zenon_H12. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.75/0.90 apply (zenon_L45_); trivial. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.75/0.90 apply (zenon_L140_); trivial. % 0.75/0.90 apply (zenon_L151_); trivial. % 0.75/0.90 (* end of lemma zenon_L369_ *) % 0.75/0.90 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.75/0.90 do 0 intro. intros zenon_H110 zenon_H111 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H166 zenon_H1ce zenon_H27e zenon_H27f zenon_H280. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.75/0.90 apply (zenon_L369_); trivial. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.75/0.90 apply (zenon_L151_); trivial. % 0.75/0.90 apply (zenon_L317_); trivial. % 0.75/0.90 (* end of lemma zenon_L370_ *) % 0.75/0.90 assert (zenon_L371_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> False). % 0.75/0.90 do 0 intro. intros zenon_Hc6 zenon_H116 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_H1ce zenon_H166 zenon_Hc3 zenon_H13c zenon_H13a zenon_H193 zenon_H192 zenon_H12c zenon_H1c9 zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1eb. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.90 apply (zenon_L174_); trivial. % 0.75/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.75/0.90 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.75/0.90 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.90 apply (zenon_L243_); trivial. % 0.75/0.90 apply (zenon_L370_); trivial. % 0.75/0.90 (* end of lemma zenon_L371_ *) % 0.75/0.90 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp23)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.75/0.90 do 0 intro. intros zenon_H110 zenon_H111 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H191 zenon_H192 zenon_H193 zenon_Hb1 zenon_Hb2 zenon_H1a2 zenon_H166 zenon_H1ce zenon_H27e zenon_H27f zenon_H280. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.75/0.90 apply (zenon_L162_); trivial. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.75/0.90 apply (zenon_L151_); trivial. % 0.75/0.90 apply (zenon_L317_); trivial. % 0.75/0.90 (* end of lemma zenon_L372_ *) % 0.75/0.90 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a295)) -> (~(c3_1 (a295))) -> (~(c2_1 (a295))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.75/0.90 do 0 intro. intros zenon_H1d7 zenon_H1cf zenon_H179 zenon_H175 zenon_H1eb zenon_H1dc zenon_H1db zenon_H1da zenon_H9a zenon_H214 zenon_H1a2 zenon_H193 zenon_H192 zenon_H191 zenon_H1ce zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_H116 zenon_Hc6 zenon_H11d. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.90 apply (zenon_L174_); trivial. % 0.75/0.90 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.75/0.90 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.75/0.90 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.90 apply (zenon_L202_); trivial. % 0.75/0.90 apply (zenon_L372_); trivial. % 0.75/0.90 apply (zenon_L238_); trivial. % 0.75/0.90 apply (zenon_L126_); trivial. % 0.75/0.90 apply (zenon_L239_); trivial. % 0.75/0.90 (* end of lemma zenon_L373_ *) % 0.75/0.90 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (~(hskp7)) -> (c2_1 (a297)) -> (c1_1 (a297)) -> (~(c0_1 (a297))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> False). % 0.75/0.90 do 0 intro. intros zenon_H174 zenon_Hc6 zenon_H175 zenon_H1 zenon_H191 zenon_H192 zenon_H193 zenon_H1c0 zenon_H13a zenon_H14f zenon_H14e zenon_H14d zenon_H1a2 zenon_H1da zenon_H1db zenon_H1dc zenon_Hb zenon_H1eb. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.90 apply (zenon_L174_); trivial. % 0.75/0.90 apply (zenon_L146_); trivial. % 0.75/0.90 (* end of lemma zenon_L374_ *) % 0.75/0.90 assert (zenon_L375_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.75/0.90 do 0 intro. intros zenon_Hb0 zenon_H12 zenon_H28d zenon_H27f zenon_H280. % 0.75/0.90 generalize (zenon_Hb0 (a291)). zenon_intro zenon_H287. % 0.75/0.90 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_H11 | zenon_intro zenon_H288 ]. % 0.75/0.90 exact (zenon_H11 zenon_H12). % 0.75/0.90 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H289 | zenon_intro zenon_H283 ]. % 0.75/0.90 exact (zenon_H28d zenon_H289). % 0.75/0.90 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ]. % 0.75/0.90 exact (zenon_H27f zenon_H286). % 0.75/0.90 exact (zenon_H285 zenon_H280). % 0.75/0.90 (* end of lemma zenon_L375_ *) % 0.75/0.90 assert (zenon_L376_ : (forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64)))))) -> (ndr1_0) -> (~(c3_1 (a291))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2)))))) -> (c1_1 (a291)) -> False). % 0.75/0.90 do 0 intro. intros zenon_H130 zenon_H12 zenon_H27f zenon_Hb0 zenon_H280. % 0.75/0.90 generalize (zenon_H130 (a291)). zenon_intro zenon_H28e. % 0.75/0.90 apply (zenon_imply_s _ _ zenon_H28e); [ zenon_intro zenon_H11 | zenon_intro zenon_H28f ]. % 0.75/0.90 exact (zenon_H11 zenon_H12). % 0.75/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H286 | zenon_intro zenon_H290 ]. % 0.75/0.90 exact (zenon_H27f zenon_H286). % 0.75/0.90 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H28d | zenon_intro zenon_H285 ]. % 0.75/0.90 apply (zenon_L375_); trivial. % 0.75/0.90 exact (zenon_H285 zenon_H280). % 0.75/0.90 (* end of lemma zenon_L376_ *) % 0.75/0.90 assert (zenon_L377_ : ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (c1_1 (a291)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2)))))) -> (~(c3_1 (a291))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.75/0.90 do 0 intro. intros zenon_H13c zenon_H1dc zenon_H1db zenon_H1da zenon_H280 zenon_Hb0 zenon_H27f zenon_H12 zenon_H13a. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H86 | zenon_intro zenon_H13d ]. % 0.75/0.90 apply (zenon_L170_); trivial. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H130 | zenon_intro zenon_H13b ]. % 0.75/0.90 apply (zenon_L376_); trivial. % 0.75/0.90 exact (zenon_H13a zenon_H13b). % 0.75/0.90 (* end of lemma zenon_L377_ *) % 0.75/0.90 assert (zenon_L378_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp7)) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> False). % 0.75/0.90 do 0 intro. intros zenon_H110 zenon_Hc3 zenon_H13a zenon_H27f zenon_H280 zenon_H1da zenon_H1db zenon_H1dc zenon_H13c zenon_H32 zenon_H33 zenon_H30 zenon_H1ce zenon_H166. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.75/0.90 apply (zenon_L377_); trivial. % 0.75/0.90 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.75/0.90 apply (zenon_L59_); trivial. % 0.75/0.90 apply (zenon_L151_); trivial. % 0.75/0.90 (* end of lemma zenon_L378_ *) % 0.75/0.90 assert (zenon_L379_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> (~(c2_1 (a295))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (~(hskp15)) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.75/0.90 do 0 intro. intros zenon_H119 zenon_H179 zenon_H1a2 zenon_H14d zenon_H14e zenon_H14f zenon_H1c0 zenon_H191 zenon_H1c9 zenon_H12c zenon_H1da zenon_H1db zenon_H1dc zenon_H192 zenon_H193 zenon_H13a zenon_H13c zenon_H280 zenon_H27f zenon_H1ce zenon_Hc3 zenon_H116. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.90 apply (zenon_L243_); trivial. % 0.75/0.90 apply (zenon_L378_); trivial. % 0.75/0.90 apply (zenon_L154_); trivial. % 0.75/0.90 (* end of lemma zenon_L379_ *) % 0.75/0.90 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a295))/\((~(c2_1 (a295)))/\(~(c3_1 (a295)))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a297))/\((c2_1 (a297))/\(~(c0_1 (a297))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a300))/\((c3_1 (a300))/\(~(c1_1 (a300))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/((hskp15)\/(hskp28))) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp24)\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a299))/\((c3_1 (a299))/\(~(c2_1 (a299))))))) -> False). % 0.75/0.90 do 0 intro. intros zenon_H236 zenon_H237 zenon_H1c0 zenon_H1cf zenon_H9a zenon_H18e zenon_Hfe zenon_H9f zenon_H11d zenon_Hc6 zenon_H116 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_H1ce zenon_Hc3 zenon_H13c zenon_H1c9 zenon_H1da zenon_H1db zenon_H1dc zenon_H1eb zenon_H12e zenon_H175 zenon_H179 zenon_H141 zenon_H1a2 zenon_H214 zenon_H1d4. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H238. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H193. zenon_intro zenon_H239. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.90 apply (zenon_L371_); trivial. % 0.75/0.90 apply (zenon_L175_); trivial. % 0.75/0.90 apply (zenon_L74_); trivial. % 0.75/0.90 apply (zenon_L176_); trivial. % 0.75/0.90 apply (zenon_L179_); trivial. % 0.75/0.90 apply (zenon_L373_); trivial. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.90 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.90 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.90 apply (zenon_L371_); trivial. % 0.75/0.90 apply (zenon_L374_); trivial. % 0.75/0.91 apply (zenon_L74_); trivial. % 0.75/0.91 apply (zenon_L176_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L379_); trivial. % 0.75/0.91 apply (zenon_L176_); trivial. % 0.75/0.91 apply (zenon_L373_); trivial. % 0.75/0.91 (* end of lemma zenon_L380_ *) % 0.75/0.91 assert (zenon_L381_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> (~(hskp16)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hb zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_L320_); trivial. % 0.75/0.91 apply (zenon_L249_); trivial. % 0.75/0.91 (* end of lemma zenon_L381_ *) % 0.75/0.91 assert (zenon_L382_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> (~(hskp8)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H11d zenon_H12e zenon_H1 zenon_H12c zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L74_); trivial. % 0.75/0.91 (* end of lemma zenon_L382_ *) % 0.75/0.91 assert (zenon_L383_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H141 zenon_H158 zenon_H156 zenon_H41 zenon_H13c zenon_H13a zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L382_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L98_); trivial. % 0.75/0.91 (* end of lemma zenon_L383_ *) % 0.75/0.91 assert (zenon_L384_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp28)) -> (~(hskp18)) -> (~(c2_1 (a337))) -> (c1_1 (a337)) -> (c3_1 (a337)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (~(hskp29)) -> False). % 0.75/0.91 do 0 intro. intros zenon_H82 zenon_He1 zenon_H5 zenon_H16b zenon_H16c zenon_H16d zenon_H254 zenon_H33 zenon_H32 zenon_H30 zenon_H12 zenon_H2f zenon_H80. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H64 | zenon_intro zenon_H84 ]. % 0.75/0.91 apply (zenon_L265_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H31 | zenon_intro zenon_H81 ]. % 0.75/0.91 apply (zenon_L15_); trivial. % 0.75/0.91 exact (zenon_H80 zenon_H81). % 0.75/0.91 (* end of lemma zenon_L384_ *) % 0.75/0.91 assert (zenon_L385_ : ((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(hskp18)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H174 zenon_Hc6 zenon_H5 zenon_H254 zenon_Hc3 zenon_H9 zenon_Hfe zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_H116 zenon_Haf zenon_H9f zenon_H13c zenon_H13a zenon_H133 zenon_H132 zenon_H131 zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H45 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_Hae. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_L80_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H2f | zenon_intro zenon_H28 ]. % 0.75/0.91 apply (zenon_L384_); trivial. % 0.75/0.91 exact (zenon_H27 zenon_H28). % 0.75/0.91 apply (zenon_L78_); trivial. % 0.75/0.91 apply (zenon_L323_); trivial. % 0.75/0.91 apply (zenon_L43_); trivial. % 0.75/0.91 (* end of lemma zenon_L385_ *) % 0.75/0.91 assert (zenon_L386_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> (c2_1 (a307)) -> (~(c3_1 (a307))) -> (~(c1_1 (a307))) -> (~(hskp7)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H13e zenon_H11d zenon_H168 zenon_H1 zenon_H15f zenon_H15e zenon_H15d zenon_H13a zenon_H13c zenon_H116 zenon_Hfe zenon_H254 zenon_H179 zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_L107_); trivial. % 0.75/0.91 apply (zenon_L385_); trivial. % 0.75/0.91 apply (zenon_L249_); trivial. % 0.75/0.91 (* end of lemma zenon_L386_ *) % 0.75/0.91 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H13e zenon_H11d zenon_Hfe zenon_H127 zenon_H120 zenon_H11e zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L331_); trivial. % 0.75/0.91 (* end of lemma zenon_L387_ *) % 0.75/0.91 assert (zenon_L388_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((hskp11)\/(hskp12))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((hskp15)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c1_1 X15)\/((c3_1 X15)\/(~(c2_1 X15))))))\/((hskp8)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a307))/\((~(c1_1 (a307)))/\(~(c3_1 (a307))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H14c zenon_H141 zenon_H158 zenon_H13c zenon_H13a zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H1 zenon_H12e zenon_H11d zenon_H179 zenon_H254 zenon_Hfe zenon_H116 zenon_H168 zenon_H181. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.75/0.91 apply (zenon_L383_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H12. zenon_intro zenon_H17f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H17f). zenon_intro zenon_H15f. zenon_intro zenon_H180. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H15d. zenon_intro zenon_H15e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L382_); trivial. % 0.75/0.91 apply (zenon_L386_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L382_); trivial. % 0.75/0.91 apply (zenon_L387_); trivial. % 0.75/0.91 (* end of lemma zenon_L388_ *) % 0.75/0.91 assert (zenon_L389_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H11d zenon_Hfe zenon_H182 zenon_H183 zenon_H184 zenon_H12c zenon_H18e zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L119_); trivial. % 0.75/0.91 (* end of lemma zenon_L389_ *) % 0.75/0.91 assert (zenon_L390_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H141 zenon_H116 zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H13c zenon_H13a zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H18e zenon_H184 zenon_H183 zenon_H182 zenon_Hfe zenon_H11d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L389_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L325_); trivial. % 0.75/0.91 (* end of lemma zenon_L390_ *) % 0.75/0.91 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((hskp5)\/((hskp16)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/((hskp15)\/(hskp29))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H147 zenon_H141 zenon_H13c zenon_H13a zenon_Hd0 zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H2a zenon_H2e zenon_H48 zenon_H9 zenon_Hf zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H83 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_Hc5 zenon_H18e zenon_H184 zenon_H183 zenon_H182 zenon_Hfe zenon_H11d. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L389_); trivial. % 0.75/0.91 apply (zenon_L387_); trivial. % 0.75/0.91 (* end of lemma zenon_L391_ *) % 0.75/0.91 assert (zenon_L392_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H9e zenon_H116 zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_He3 zenon_H3f zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_H9 zenon_Hfe zenon_H9f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_L273_); trivial. % 0.75/0.91 apply (zenon_L338_); trivial. % 0.75/0.91 (* end of lemma zenon_L392_ *) % 0.75/0.91 assert (zenon_L393_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> (c1_1 (a341)) -> (~(c3_1 (a341))) -> (~(c0_1 (a341))) -> (ndr1_0) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp4)) -> (~(hskp28)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H9f zenon_Hfe zenon_H9 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_H127 zenon_H120 zenon_H11e zenon_Hb3 zenon_Hb2 zenon_Hb1 zenon_H12 zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_H3f zenon_He1 zenon_He3. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 0.75/0.91 apply (zenon_L330_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H40 | zenon_intro zenon_He2 ]. % 0.75/0.91 exact (zenon_H3f zenon_H40). % 0.75/0.91 exact (zenon_He1 zenon_He2). % 0.75/0.91 apply (zenon_L118_); trivial. % 0.75/0.91 (* end of lemma zenon_L393_ *) % 0.75/0.91 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> (~(hskp23)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_Hca zenon_H116 zenon_H1ce zenon_H166 zenon_He3 zenon_H3f zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H11e zenon_H120 zenon_H127 zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_H9 zenon_Hfe zenon_H9f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_L393_); trivial. % 0.75/0.91 apply (zenon_L370_); trivial. % 0.75/0.91 (* end of lemma zenon_L394_ *) % 0.75/0.91 assert (zenon_L395_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c3_1 (a315))) -> (c2_1 (a315)) -> (~(c0_1 (a315))) -> (ndr1_0) -> (~(c2_1 (a337))) -> (c1_1 (a337)) -> (c3_1 (a337)) -> (~(hskp18)) -> (~(hskp28)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H9f zenon_Hfe zenon_H9 zenon_H82 zenon_H33 zenon_H32 zenon_H30 zenon_H12 zenon_H16b zenon_H16c zenon_H16d zenon_H5 zenon_He1 zenon_H254 zenon_H3f zenon_He3. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 0.75/0.91 apply (zenon_L384_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_H40 | zenon_intro zenon_He2 ]. % 0.75/0.91 exact (zenon_H3f zenon_H40). % 0.75/0.91 exact (zenon_He1 zenon_He2). % 0.75/0.91 apply (zenon_L118_); trivial. % 0.75/0.91 (* end of lemma zenon_L395_ *) % 0.75/0.91 assert (zenon_L396_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H119 zenon_Hd0 zenon_H2e zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H109 zenon_Hc6 zenon_H11e zenon_H120 zenon_H127 zenon_H111 zenon_H63 zenon_H1ce zenon_H4e zenon_H9f zenon_Hfe zenon_H9 zenon_H82 zenon_H3f zenon_He3 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_H116 zenon_Haf zenon_H254 zenon_H179. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.75/0.91 apply (zenon_L242_); trivial. % 0.75/0.91 apply (zenon_L392_); trivial. % 0.75/0.91 apply (zenon_L394_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_L395_); trivial. % 0.75/0.91 apply (zenon_L338_); trivial. % 0.75/0.91 apply (zenon_L289_); trivial. % 0.75/0.91 (* end of lemma zenon_L396_ *) % 0.75/0.91 assert (zenon_L397_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H147 zenon_H11d zenon_H109 zenon_H1ce zenon_Hfe zenon_H3f zenon_He3 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H116 zenon_H254 zenon_H179 zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L396_); trivial. % 0.75/0.91 (* end of lemma zenon_L397_ *) % 0.75/0.91 assert (zenon_L398_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp21))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (ndr1_0) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H14c zenon_H11d zenon_H204 zenon_H200 zenon_H1fd zenon_H1fb zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H22f zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_H12 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L346_); trivial. % 0.75/0.91 apply (zenon_L362_); trivial. % 0.75/0.91 (* end of lemma zenon_L398_ *) % 0.75/0.91 assert (zenon_L399_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> (~(c0_1 (a315))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp29)) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (ndr1_0) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.75/0.91 do 0 intro. intros zenon_H111 zenon_Hb1 zenon_Hb2 zenon_H1a2 zenon_H32 zenon_H33 zenon_H30 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_Hc3 zenon_H80 zenon_H14d zenon_H14e zenon_H14f zenon_H11e zenon_H120 zenon_H127 zenon_H82 zenon_H12 zenon_H27e zenon_H27f zenon_H280. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.75/0.91 apply (zenon_L337_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.75/0.91 apply (zenon_L140_); trivial. % 0.75/0.91 apply (zenon_L227_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.75/0.91 apply (zenon_L227_); trivial. % 0.75/0.91 apply (zenon_L317_); trivial. % 0.75/0.91 (* end of lemma zenon_L399_ *) % 0.75/0.91 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> (c3_1 (a306)) -> (c1_1 (a306)) -> (~(c0_1 (a306))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H119 zenon_Hd0 zenon_H2e zenon_H24a zenon_H3f zenon_H109 zenon_Hc6 zenon_H111 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_H127 zenon_H120 zenon_H11e zenon_Hc3 zenon_H63 zenon_H1ce zenon_H4e zenon_H9f zenon_H210 zenon_H1fb zenon_H208 zenon_H207 zenon_H206 zenon_H254 zenon_H14d zenon_H14e zenon_H14f zenon_H82 zenon_H23b zenon_H23c zenon_H23d zenon_H252 zenon_H116 zenon_Haf zenon_H179. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_L300_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.75/0.91 apply (zenon_L399_); trivial. % 0.75/0.91 apply (zenon_L275_); trivial. % 0.75/0.91 apply (zenon_L370_); trivial. % 0.75/0.91 apply (zenon_L302_); trivial. % 0.75/0.91 apply (zenon_L289_); trivial. % 0.75/0.91 (* end of lemma zenon_L400_ *) % 0.75/0.91 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(~(c2_1 (a304)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306))))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(hskp3)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(c0_1 (a297))) -> (c1_1 (a297)) -> (c2_1 (a297)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H233 zenon_H14c zenon_H11d zenon_H228 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_Hae zenon_H45 zenon_H63 zenon_H5f zenon_H27 zenon_H4e zenon_H82 zenon_H9a zenon_H9f zenon_Haf zenon_Hc3 zenon_H27e zenon_H27f zenon_H280 zenon_H111 zenon_Hc6 zenon_H14d zenon_H14e zenon_H14f zenon_H3f zenon_H43. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L346_); trivial. % 0.75/0.91 apply (zenon_L366_); trivial. % 0.75/0.91 (* end of lemma zenon_L401_ *) % 0.75/0.91 assert (zenon_L402_ : ((ndr1_0)/\((c0_1 (a311))/\((c1_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a295))) -> (~(c3_1 (a295))) -> (c0_1 (a295)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a300)) -> (c0_1 (a300)) -> (~(c1_1 (a300))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c3_1 X64)\/((~(c0_1 X64))\/(~(c1_1 X64))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a326))/\((c3_1 (a326))/\(~(c0_1 (a326))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> ((hskp31)\/((hskp27)\/(hskp24))) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a359)))/\((~(c1_1 (a359)))/\(~(c3_1 (a359))))))) -> ((hskp5)\/((hskp16)\/(hskp22))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((hskp18)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c3_1 V)\/(~(c0_1 V))))))\/(hskp3))) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H13e zenon_H11d zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H1a2 zenon_H184 zenon_H183 zenon_H182 zenon_H13c zenon_H13a zenon_Hc5 zenon_Hc6 zenon_H111 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_Haf zenon_H9f zenon_H9a zenon_H83 zenon_H82 zenon_H4e zenon_H27 zenon_H5f zenon_H63 zenon_H45 zenon_Hae zenon_Hf zenon_H9 zenon_H48 zenon_H2e zenon_H2a zenon_H23b zenon_H23c zenon_H23d zenon_H24a zenon_Hd0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L124_); trivial. % 0.75/0.91 (* end of lemma zenon_L402_ *) % 0.75/0.91 assert (zenon_L403_ : ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (c1_1 (a296)) -> (c3_1 (a296)) -> (c2_1 (a296)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp26)) -> False). % 0.75/0.91 do 0 intro. intros zenon_H5f zenon_H108 zenon_Hf4 zenon_Hf3 zenon_H6e zenon_H12 zenon_H27 zenon_H5c. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H52 | zenon_intro zenon_H62 ]. % 0.75/0.91 apply (zenon_L150_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H28 | zenon_intro zenon_H5d ]. % 0.75/0.91 exact (zenon_H27 zenon_H28). % 0.75/0.91 exact (zenon_H5c zenon_H5d). % 0.75/0.91 (* end of lemma zenon_L403_ *) % 0.75/0.91 assert (zenon_L404_ : ((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> (~(c0_1 (a341))) -> (~(c3_1 (a341))) -> (c1_1 (a341)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp26)) -> (~(hskp3)) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/((hskp3)\/(hskp26))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> False). % 0.75/0.91 do 0 intro. intros zenon_H110 zenon_H111 zenon_Hb1 zenon_Hb2 zenon_Hb3 zenon_Hc3 zenon_H5c zenon_H27 zenon_H5f zenon_H27e zenon_H27f zenon_H280. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H12. zenon_intro zenon_H112. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_H108. zenon_intro zenon_H113. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_He5 | zenon_intro zenon_H114 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc4 ]. % 0.75/0.91 apply (zenon_L45_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hba | zenon_intro zenon_H6e ]. % 0.75/0.91 apply (zenon_L140_); trivial. % 0.75/0.91 apply (zenon_L403_); trivial. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H6e | zenon_intro zenon_H100 ]. % 0.75/0.91 apply (zenon_L403_); trivial. % 0.75/0.91 apply (zenon_L317_); trivial. % 0.75/0.91 (* end of lemma zenon_L404_ *) % 0.75/0.91 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a306))/\((c3_1 (a306))/\(~(c0_1 (a306)))))) -> ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((hskp16)\/(hskp21))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c3_1 X14))))))\/((hskp9)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a330))/\((~(c0_1 (a330)))/\(~(c2_1 (a330))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H147 zenon_H11d zenon_Hd0 zenon_H2e zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H109 zenon_Hc6 zenon_H111 zenon_H63 zenon_H1ce zenon_H4e zenon_H9f zenon_Hfe zenon_H9 zenon_H82 zenon_H3f zenon_He3 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_Hc3 zenon_H116 zenon_Haf zenon_H254 zenon_H179 zenon_H1ef zenon_H1dc zenon_H1db zenon_H1da zenon_H1fb zenon_H1fd zenon_H200 zenon_H204. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L187_); trivial. % 0.75/0.91 apply (zenon_L396_); trivial. % 0.75/0.91 (* end of lemma zenon_L405_ *) % 0.75/0.91 assert (zenon_L406_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (~(hskp8)) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(hskp16)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H116 zenon_H252 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H214 zenon_H1 zenon_H1a8 zenon_H1a7 zenon_Hb zenon_H9a. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_L202_); trivial. % 0.75/0.91 apply (zenon_L264_); trivial. % 0.75/0.91 (* end of lemma zenon_L406_ *) % 0.75/0.91 assert (zenon_L407_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> (~(hskp8)) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp8)\/(hskp28))) -> (c2_1 (a294)) -> (c0_1 (a294)) -> (~(c1_1 (a294))) -> (ndr1_0) -> (~(c1_1 (a293))) -> (~(c2_1 (a293))) -> (c3_1 (a293)) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (c2_1 (a305)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H11d zenon_Hc3 zenon_H9 zenon_Hfe zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a2 zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H9a zenon_H1a7 zenon_H1a8 zenon_H1 zenon_H214 zenon_H1dc zenon_H1db zenon_H1da zenon_H12 zenon_H23b zenon_H23c zenon_H23d zenon_H206 zenon_H207 zenon_H208 zenon_H252 zenon_H116. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L406_); trivial. % 0.75/0.91 apply (zenon_L339_); trivial. % 0.75/0.91 (* end of lemma zenon_L407_ *) % 0.75/0.91 assert (zenon_L408_ : ((~(hskp16))\/((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(forall X57 : zenon_U, ((ndr1_0)->((~(c1_1 X57))\/((~(c2_1 X57))\/(~(c3_1 X57)))))))) -> (c2_1 (a305)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a294))) -> (c0_1 (a294)) -> (c2_1 (a294)) -> (~(c1_1 (a300))) -> (c0_1 (a300)) -> (c3_1 (a300)) -> ((forall X61 : zenon_U, ((ndr1_0)->((c1_1 X61)\/((~(c0_1 X61))\/(~(c2_1 X61))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((~(c0_1 X22))\/(~(c3_1 X22))))))\/(hskp16))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H11d zenon_H116 zenon_H252 zenon_H208 zenon_H207 zenon_H206 zenon_H23d zenon_H23c zenon_H23b zenon_H43 zenon_H41 zenon_H3f zenon_He3 zenon_H12 zenon_H1da zenon_H1db zenon_H1dc zenon_H182 zenon_H183 zenon_H184 zenon_H9a. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L267_); trivial. % 0.75/0.91 (* end of lemma zenon_L408_ *) % 0.75/0.91 assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> (~(c2_1 (a304))) -> (c0_1 (a304)) -> (c1_1 (a304)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (~(c2_1 (a291))) -> (~(c3_1 (a291))) -> (c1_1 (a291)) -> (~(c2_1 (a299))) -> (c0_1 (a299)) -> (c3_1 (a299)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> (~(hskp4)) -> (~(c0_1 (a315))) -> (c2_1 (a315)) -> (~(c3_1 (a315))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H9e zenon_H116 zenon_Hc3 zenon_H21f zenon_H220 zenon_H221 zenon_H228 zenon_H27e zenon_H27f zenon_H280 zenon_H1a6 zenon_H1a7 zenon_H1a8 zenon_H1a2 zenon_He3 zenon_H3f zenon_H30 zenon_H32 zenon_H33 zenon_H82 zenon_H9 zenon_Hfe zenon_H9f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H12. zenon_intro zenon_Ha0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H67. zenon_intro zenon_Ha1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H65. zenon_intro zenon_H66. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_L273_); trivial. % 0.75/0.91 apply (zenon_L358_); trivial. % 0.75/0.91 (* end of lemma zenon_L409_ *) % 0.75/0.91 assert (zenon_L410_ : ((ndr1_0)/\((c2_1 (a315))/\((~(c0_1 (a315)))/\(~(c3_1 (a315)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a325))/\((~(c1_1 (a325)))/\(~(c3_1 (a325))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c1_1 (a331)))/\((~(c2_1 (a331)))/\(~(c3_1 (a331))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c1_1 X49)\/((c2_1 X49)\/(~(c3_1 X49))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c2_1 X31))))))\/(hskp22))) -> (c3_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a293))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c3_1 X36))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(c3_1 X40)))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a341))/\((~(c0_1 (a341)))/\(~(c3_1 (a341))))))) -> (~(c0_1 (a306))) -> (c1_1 (a306)) -> (c3_1 (a306)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((c3_1 X5)\/(~(c1_1 X5)))))))) -> ((~(hskp31))\/((ndr1_0)/\((c0_1 (a367))/\((c1_1 (a367))/\(c2_1 (a367)))))) -> ((forall X82 : zenon_U, ((ndr1_0)->((~(c0_1 X82))\/((~(c1_1 X82))\/(~(c2_1 X82))))))\/(hskp23)) -> ((hskp31)\/((hskp27)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a301))/\((c2_1 (a301))/\(c3_1 (a301)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((~(c1_1 X9))\/(~(c2_1 X9))))))\/(hskp29))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp4)\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c0_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a299)) -> (c0_1 (a299)) -> (~(c2_1 (a299))) -> (c1_1 (a291)) -> (~(c3_1 (a291))) -> (~(c2_1 (a291))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c2_1 X42)\/((~(c0_1 X42))\/(~(c1_1 X42))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp4))) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(c2_1 (a304))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c3_1 X2)\/(~(c1_1 X2))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a368))/\((~(c0_1 (a368)))/\(~(c2_1 (a368))))))) -> ((forall X84 : zenon_U, ((ndr1_0)->((~(c0_1 X84))\/((~(c1_1 X84))\/(~(c3_1 X84))))))\/((hskp18)\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a337))/\((c3_1 (a337))/\(~(c2_1 (a337))))))) -> False). % 0.75/0.91 do 0 intro. intros zenon_H119 zenon_Hd0 zenon_H2e zenon_H24a zenon_H23d zenon_H23c zenon_H23b zenon_H109 zenon_Hc6 zenon_H11e zenon_H120 zenon_H127 zenon_H111 zenon_H63 zenon_H1ce zenon_H4e zenon_H9f zenon_Hfe zenon_H9 zenon_H82 zenon_H3f zenon_He3 zenon_H1a2 zenon_H1a8 zenon_H1a7 zenon_H1a6 zenon_H280 zenon_H27f zenon_H27e zenon_H228 zenon_H221 zenon_H220 zenon_H21f zenon_Hc3 zenon_H116 zenon_Haf zenon_H254 zenon_H179. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H4a | zenon_intro zenon_H9e ]. % 0.75/0.91 apply (zenon_L242_); trivial. % 0.75/0.91 apply (zenon_L409_); trivial. % 0.75/0.91 apply (zenon_L394_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16c. zenon_intro zenon_H177. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16d. zenon_intro zenon_H16b. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_L395_); trivial. % 0.75/0.91 apply (zenon_L358_); trivial. % 0.75/0.91 apply (zenon_L289_); trivial. % 0.75/0.91 (* end of lemma zenon_L410_ *) % 0.75/0.91 apply NNPP. intro zenon_G. % 0.75/0.91 apply zenon_G. zenon_intro zenon_H291. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H293. zenon_intro zenon_H292. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H295. zenon_intro zenon_H294. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H297. zenon_intro zenon_H296. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H299. zenon_intro zenon_H298. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H29b. zenon_intro zenon_H29a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H237. zenon_intro zenon_H29c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H29e. zenon_intro zenon_H29d. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H1d4. zenon_intro zenon_H29f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1cf. zenon_intro zenon_H2a0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H231. zenon_intro zenon_H2a1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H232. zenon_intro zenon_H2a2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H14c. zenon_intro zenon_H2a3. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H181. zenon_intro zenon_H2a4. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H17d. zenon_intro zenon_H2a5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H27d. zenon_intro zenon_H2a6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H141. zenon_intro zenon_H2a7. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H11d. zenon_intro zenon_H2a8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H11a. zenon_intro zenon_H2a9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Hd0. zenon_intro zenon_H2aa. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_Hc5. zenon_intro zenon_H2ab. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H2ad. zenon_intro zenon_H2ac. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H204. zenon_intro zenon_H2ae. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H2e. zenon_intro zenon_H2af. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H179. zenon_intro zenon_H2b0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_Hc6. zenon_intro zenon_H2b1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Hae. zenon_intro zenon_H2b4. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_Haf. zenon_intro zenon_H2b5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H116. zenon_intro zenon_H2b6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H9f. zenon_intro zenon_H2b7. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H63. zenon_intro zenon_H2ba. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H45. zenon_intro zenon_H2bf. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_He3. zenon_intro zenon_H2c0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H111. zenon_intro zenon_H2c5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H175. zenon_intro zenon_H2c6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H82. zenon_intro zenon_H2c7. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H83. zenon_intro zenon_H2c8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H2ca. zenon_intro zenon_H2c9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cc. zenon_intro zenon_H2cb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H200. zenon_intro zenon_H2cd. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_Hc3. zenon_intro zenon_H2ce. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H1a4. zenon_intro zenon_H2cf. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H158. zenon_intro zenon_H2d0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H15a. zenon_intro zenon_H2d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H1a2. zenon_intro zenon_H2d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H26b. zenon_intro zenon_H2d3. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_Hfe. zenon_intro zenon_H2d4. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H12e. zenon_intro zenon_H2d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H1c0. zenon_intro zenon_H2d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H43. zenon_intro zenon_H2d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H109. zenon_intro zenon_H2da. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dc. zenon_intro zenon_H2db. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H148. zenon_intro zenon_H2dd. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H2df. zenon_intro zenon_H2de. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2a. zenon_intro zenon_H2e0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H48. zenon_intro zenon_H2e1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_Hd5. zenon_intro zenon_H2e2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H27b. zenon_intro zenon_H2e5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H24a. zenon_intro zenon_H2e6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H252. zenon_intro zenon_H2e7. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1c9. zenon_intro zenon_H2ea. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H168. zenon_intro zenon_H2eb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H9a. zenon_intro zenon_H2ec. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H13c. zenon_intro zenon_H2ed. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H210. zenon_intro zenon_H2ee. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H1eb. zenon_intro zenon_H2ef. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H1ef. zenon_intro zenon_H2f0. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2f2. zenon_intro zenon_H2f1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H18e. zenon_intro zenon_H2f3. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H228. zenon_intro zenon_H2f6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H22f. zenon_intro zenon_H2f7. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fd. zenon_intro zenon_H2fc. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2ff. zenon_intro zenon_H2fe. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H5f. zenon_intro zenon_H300. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H1ce. zenon_intro zenon_H301. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H214. zenon_intro zenon_H302. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H254. zenon_intro zenon_H303. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H305. zenon_intro zenon_H304. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H4e. zenon_intro zenon_H306. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H308. zenon_intro zenon_H307. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H30a. zenon_intro zenon_H309. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H7. zenon_intro zenon_H30b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Hf. zenon_intro zenon_H312. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H313 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H145 | zenon_intro zenon_H314 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H27 | zenon_intro zenon_H315 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_L89_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_L92_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H238. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H193. zenon_intro zenon_H239. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L115_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L52_); trivial. % 0.75/0.91 apply (zenon_L119_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L52_); trivial. % 0.75/0.91 apply (zenon_L124_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.75/0.91 apply (zenon_L127_); trivial. % 0.75/0.91 apply (zenon_L129_); trivial. % 0.75/0.91 apply (zenon_L88_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.75/0.91 apply (zenon_L127_); trivial. % 0.75/0.91 apply (zenon_L132_); trivial. % 0.75/0.91 apply (zenon_L133_); trivial. % 0.75/0.91 apply (zenon_L169_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H12. zenon_intro zenon_H316. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1db. zenon_intro zenon_H317. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L180_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L188_); trivial. % 0.75/0.91 apply (zenon_L191_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L188_); trivial. % 0.75/0.91 apply (zenon_L198_); trivial. % 0.75/0.91 apply (zenon_L200_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L209_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L208_); trivial. % 0.75/0.91 apply (zenon_L213_); trivial. % 0.75/0.91 apply (zenon_L225_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L226_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L188_); trivial. % 0.75/0.91 apply (zenon_L231_); trivial. % 0.75/0.91 apply (zenon_L200_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L208_); trivial. % 0.75/0.91 apply (zenon_L234_); trivial. % 0.75/0.91 apply (zenon_L237_); trivial. % 0.75/0.91 apply (zenon_L245_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H12. zenon_intro zenon_H318. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H23d. zenon_intro zenon_H319. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H23b. zenon_intro zenon_H23c. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H27 | zenon_intro zenon_H315 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L254_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L250_); trivial. % 0.75/0.91 apply (zenon_L84_); trivial. % 0.75/0.91 apply (zenon_L256_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L254_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L250_); trivial. % 0.75/0.91 apply (zenon_L217_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L250_); trivial. % 0.75/0.91 apply (zenon_L219_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L268_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H269 | zenon_intro zenon_H278 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L272_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_L274_); trivial. % 0.75/0.91 apply (zenon_L276_); trivial. % 0.75/0.91 apply (zenon_L281_); trivial. % 0.75/0.91 apply (zenon_L282_); trivial. % 0.75/0.91 apply (zenon_L286_); trivial. % 0.75/0.91 apply (zenon_L288_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L226_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_L291_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L290_); trivial. % 0.75/0.91 apply (zenon_L293_); trivial. % 0.75/0.91 apply (zenon_L294_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_L235_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L297_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_L300_); trivial. % 0.75/0.91 apply (zenon_L276_); trivial. % 0.75/0.91 apply (zenon_L302_); trivial. % 0.75/0.91 apply (zenon_L102_); trivial. % 0.75/0.91 apply (zenon_L293_); trivial. % 0.75/0.91 apply (zenon_L236_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H238. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H193. zenon_intro zenon_H239. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L306_); trivial. % 0.75/0.91 apply (zenon_L114_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L309_); trivial. % 0.75/0.91 apply (zenon_L311_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.75/0.91 apply (zenon_L312_); trivial. % 0.75/0.91 apply (zenon_L305_); trivial. % 0.75/0.91 apply (zenon_L133_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H156 | zenon_intro zenon_H17e ]. % 0.75/0.91 apply (zenon_L312_); trivial. % 0.75/0.91 apply (zenon_L132_); trivial. % 0.75/0.91 apply (zenon_L133_); trivial. % 0.75/0.91 apply (zenon_L169_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H12. zenon_intro zenon_H316. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1db. zenon_intro zenon_H317. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L180_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L316_); trivial. % 0.75/0.91 apply (zenon_L191_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L290_); trivial. % 0.75/0.91 apply (zenon_L198_); trivial. % 0.75/0.91 apply (zenon_L200_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L209_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H3 | zenon_intro zenon_H17a ]. % 0.75/0.91 apply (zenon_L290_); trivial. % 0.75/0.91 apply (zenon_L213_); trivial. % 0.75/0.91 apply (zenon_L225_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L226_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_L291_); trivial. % 0.75/0.91 apply (zenon_L200_); trivial. % 0.75/0.91 apply (zenon_L294_); trivial. % 0.75/0.91 apply (zenon_L237_); trivial. % 0.75/0.91 apply (zenon_L245_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H12. zenon_intro zenon_H31a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H280. zenon_intro zenon_H31b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H27e. zenon_intro zenon_H27f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H145 | zenon_intro zenon_H314 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H27 | zenon_intro zenon_H315 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L327_); trivial. % 0.75/0.91 apply (zenon_L333_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L335_); trivial. % 0.75/0.91 apply (zenon_L88_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L321_); trivial. % 0.75/0.91 apply (zenon_L339_); trivial. % 0.75/0.91 apply (zenon_L88_); trivial. % 0.75/0.91 apply (zenon_L340_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H238. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H193. zenon_intro zenon_H239. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L343_); trivial. % 0.75/0.91 apply (zenon_L333_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L334_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H12. zenon_intro zenon_H13f. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H132. zenon_intro zenon_H140. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H133. zenon_intro zenon_H131. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L321_); trivial. % 0.75/0.91 apply (zenon_L124_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L321_); trivial. % 0.75/0.91 apply (zenon_L126_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L160_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L348_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L168_); trivial. % 0.75/0.91 apply (zenon_L347_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H12. zenon_intro zenon_H316. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1db. zenon_intro zenon_H317. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L180_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_L353_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L356_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L355_); trivial. % 0.75/0.91 apply (zenon_L357_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_L353_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L360_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L357_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L226_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_L364_); trivial. % 0.75/0.91 apply (zenon_L367_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_L364_); trivial. % 0.75/0.91 apply (zenon_L368_); trivial. % 0.75/0.91 apply (zenon_L380_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H12. zenon_intro zenon_H318. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H23d. zenon_intro zenon_H319. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H23b. zenon_intro zenon_H23c. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H27 | zenon_intro zenon_H315 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L388_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L390_); trivial. % 0.75/0.91 apply (zenon_L391_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L339_); trivial. % 0.75/0.91 apply (zenon_L397_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L226_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_L398_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L346_); trivial. % 0.75/0.91 apply (zenon_L400_); trivial. % 0.75/0.91 apply (zenon_L401_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H12. zenon_intro zenon_H238. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H238). zenon_intro zenon_H193. zenon_intro zenon_H239. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L388_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H12c | zenon_intro zenon_H13e ]. % 0.75/0.91 apply (zenon_L389_); trivial. % 0.75/0.91 apply (zenon_L402_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L381_); trivial. % 0.75/0.91 apply (zenon_L126_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L160_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_L348_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L168_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_L136_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hca). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hb3. zenon_intro zenon_Hcc. % 0.75/0.91 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb1. zenon_intro zenon_Hb2. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5c | zenon_intro zenon_Hab ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_He1 | zenon_intro zenon_H110 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H80 | zenon_intro zenon_H99 ]. % 0.75/0.91 apply (zenon_L345_); trivial. % 0.75/0.91 apply (zenon_L262_); trivial. % 0.75/0.91 apply (zenon_L404_); trivial. % 0.75/0.91 apply (zenon_L43_); trivial. % 0.75/0.91 apply (zenon_L249_); trivial. % 0.75/0.91 apply (zenon_L126_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H12. zenon_intro zenon_H316. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1db. zenon_intro zenon_H317. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H3f | zenon_intro zenon_H236 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d3 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L180_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L349_); trivial. % 0.75/0.91 apply (zenon_L405_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L407_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L406_); trivial. % 0.75/0.91 apply (zenon_L396_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L356_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L355_); trivial. % 0.75/0.91 apply (zenon_L396_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L339_); trivial. % 0.75/0.91 apply (zenon_L405_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L408_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H269 | zenon_intro zenon_H278 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_H12. zenon_intro zenon_H11b. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H32. zenon_intro zenon_H11c. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H30. zenon_intro zenon_H33. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H5 | zenon_intro zenon_Hcd ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H166 | zenon_intro zenon_H174 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H4c | zenon_intro zenon_Hca ]. % 0.75/0.91 apply (zenon_L274_); trivial. % 0.75/0.91 apply (zenon_L394_); trivial. % 0.75/0.91 apply (zenon_L281_); trivial. % 0.75/0.91 apply (zenon_L289_); trivial. % 0.75/0.91 apply (zenon_L286_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H233). zenon_intro zenon_H12. zenon_intro zenon_H234. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H220. zenon_intro zenon_H235. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H221. zenon_intro zenon_H21f. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L360_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L410_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H12. zenon_intro zenon_H1d5. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H14e. zenon_intro zenon_H1d6. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H14f. zenon_intro zenon_H14d. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H13a | zenon_intro zenon_H1d7 ]. % 0.75/0.91 apply (zenon_L226_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a7. zenon_intro zenon_H1d9. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a8. zenon_intro zenon_H1a6. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1 | zenon_intro zenon_H1d0 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_L363_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L406_); trivial. % 0.75/0.91 apply (zenon_L400_); trivial. % 0.75/0.91 apply (zenon_L367_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_H12. zenon_intro zenon_H1d1. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H183. zenon_intro zenon_H1d2. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H184. zenon_intro zenon_H182. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1fb | zenon_intro zenon_H233 ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20f ]. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L362_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H12. zenon_intro zenon_H211. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H207. zenon_intro zenon_H212. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H208. zenon_intro zenon_H206. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H41 | zenon_intro zenon_H147 ]. % 0.75/0.91 apply (zenon_L91_); trivial. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H12. zenon_intro zenon_H149. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_H120. zenon_intro zenon_H14a. % 0.75/0.91 apply (zenon_and_s _ _ zenon_H14a). zenon_intro zenon_H127. zenon_intro zenon_H11e. % 0.75/0.91 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hb | zenon_intro zenon_H119 ]. % 0.75/0.91 apply (zenon_L178_); trivial. % 0.75/0.91 apply (zenon_L400_); trivial. % 0.75/0.91 apply (zenon_L368_); trivial. % 0.75/0.91 apply (zenon_L380_); trivial. % 0.75/0.91 Qed. % 0.75/0.91 % SZS output end Proof % 0.75/0.91 (* END-PROOF *) % 0.75/0.91 nodes searched: 27109 % 0.75/0.91 max branch formulas: 461 % 0.75/0.91 proof nodes created: 3784 % 0.75/0.91 formulas created: 33356 % 0.75/0.91 %------------------------------------------------------------------------------